Quiz about Maths in Class 12

Question 1

Let a distribution be made by combining three distribution each having mean zero standard deviations each having mean zero standard deviations 34 and 5 respectively. Then the variance of the combined distribution is equal to

Accepted Answer

NA

Question 2

Show that the line joining the incenter to the circumcentre of triangle ABC is inclined to the side BC at an angle tan^(-1) ((cos B + cos C -1)(sin C - sin B))

Accepted Answer

NA

Question 3

Show that the lines (1-cos theta tan alpha) y^2 -(2cos theta+sin ^2 thata tan alpha )xy +cos thata (cos thata+tan alpha )x^2=0include an angle alpha between them .

Accepted Answer

NA

Question 4

If a p are the roots of the quadratic equation x^2 - 2p (x - 4) - 15 = 0 then the set of values of p for which one root is less than 1 4 the other root is greater than 2 is

Accepted Answer

NA

Question 5

If p and q are chosen randomly from the set 1 2 3 ……… 10 with replacement then the probability that the roots of the equation x^(2)+px+q=0 are real is

Accepted Answer

NA

Question 6

Find (dy)(dx) in the following y= sin^(-1) ((2x)(1+x^(2))).

Accepted Answer

NA

Question 7

Maximise Z = 3x + 4y subject to the constraints x+y le 1 x ge 0.

Accepted Answer

NA

Question 8

The solution of the differential equation (dy)(dx) + (y)(2) sec x = (tan x)(2y) where 0 le x lt (pi)(2) and y(0) = 1 is given

Accepted Answer

NA

Question 9

This passage was adapted from an article titled Millennials and the Market written by a money management expect in 2018.  During the Golden Age of American manfuacturing it was expected that after putting in 30 to 40 years of tedious labor in a factory workers  would be able to retire around age 65 and enjoy the benefits of retirement comforted by the thought that a pension and the Social Security system they had financed for decades would  cover their expenses. unfortunately for millennials (people born between the early 1980s and late 1990s) prospects look increasing bleak that they will get a return on their inveestment at retirement age despite continuing to fund programs like Social Scurity of all Fortune 500 corporations still offer some form of pension plan to new hires and the move from company funded pension plans to 401 (k) plans and IRAs that began in the 1970s shows no sign of slackening. In this financial environment it might be expected that investment in the stock market would be at an all-time high. An analysis of the data however indicates a complicated and even fraught relationship between young adults and the stock market.  The trauma associated with the great Recession (which began in December 2007 and ended in june 2009) left many investors wary of stock  market volatility and that hesitancey was exacerbated among young people who saw a considerable protion of their families whalth erased in short order. A study by Pfeffe. Danziger and Schoeni published in 2014 posited that the average American household lost a third of its welth approximetely $28000 during the Great Recession. This was at the exact moment when a great many millennials were making decisions about attending college pursuing post-graduate studies or entering the workforce. For a medianincome family those decisions were all directly correlated to houshold wealth. The ripple effects of the Great Recession left many millennials ascribing blame directly to the stock market for missed opportunities. Even with a ful awareness tht the stock market has rebounded and far exceeded the highs seen prior to the Great Recession many millennials still fell trepidation about investing in the stock market preferring to sava a larger percenting of their salaries than their parents and grandparents did. A nother factor that has directly impacted the willingness or millennials to invest in the stock market is the seismic shift in the job market brought about by the gig economy in which short-term contracts and freelance work have replaced permanent employment. To a larger degree the gig economy is still in its nascent phase with many of the largest purveyors of jobs only incoporated in the last decade. Research has not adequately kept track of the trend with estimates of participation in the gig economy ranging from 4% to 40% in the United States. The ability to pick up work on contingency basis allows millennials to feel a greater leved of control over their finances something a significant number of them believe they cannot achieve through stock market investment. The increased diversity of available methods for building future wealth has caused many millennials to adopt an a la carte approach to preparing for retirement. But it is possible that this approach has been clouded by some common misconceptions about wealth builging ? One persistent albeit erroneous view is that real estate is a better investment instrument that a stock market porfolio. While it is true that home equity is the stepping-stone from which most individuals begin to build their personal wealth statistics make it clear that stock market investments are a more stable and lucrative source of long-term wealth. L London Business School study found that over the same 90-year period the average rate of return on a real estate investment was 1.3% compared to the 9.8% annulized total return for the S&P stock 500 index. Investing the $5500 IRS-imposed annual limit in an IRN for 25 years would result in a return of over $600000 based on the annualized return rate. Stock investment requires a smaller overhead than real eastate investment and the liquid nature of stocks makes them ideal for retirement stocks allocated to retirement accounts remain tax free until they are drawn on. Despite these pieces of tangible evidance though the stigma regarding stock market investment persists in the minds of many milennials.  Regardless of their feelings about the stock market one thing is self-eviden without preparatin for retirement milennials will be a generation adrift in a society without the social safety nets available to current retirees. The benchmark for the amount of savings the average retiree needs to live comfortably after retirement which remained at $1 million for many years now continues to rise and exacerbating factors such as the cost of medical care continue to increase. Armed with that knowledge millennials need to be proactive about financial planning. By taking full advantage of their penchant for a hands-on approach to finances and levaraging the various financial technologies and services that were not available to the previous generation milennials can amass the wealth necessary to retire comfortably and on their own terms.  Which choice provides the best evidence for the answer to the previous question ?

Accepted Answer

NA

Question 10

This passage was adapted from an article titled Millennials and the Market written by a money management expect in 2018.  During the Golden Age of American manfuacturing it was expected that after putting in 30 to 40 years of tedious labor in a factory workers  would be able to retire around age 65 and enjoy the benefits of retirement comforted by the thought that a pension and the Social Security system they had financed for decades would  cover their expenses. unfortunately for millennials (people born between the early 1980s and late 1990s) prospects look increasing bleak that they will get a return on their inveestment at retirement age despite continuing to fund programs like Social Scurity of all Fortune 500 corporations still offer some form of pension plan to new hires and the move from company funded pension plans to 401 (k) plans and IRAs that began in the 1970s shows no sign of slackening. In this financial environment it might be expected that investment in the stock market would be at an all-time high. An analysis of the data however indicates a complicated and even fraught relationship between young adults and the stock market.  The trauma associated with the great Recession (which began in December 2007 and ended in june 2009) left many investors wary of stock  market volatility and that hesitancey was exacerbated among young people who saw a considerable protion of their families whalth erased in short order. A study by Pfeffe. Danziger and Schoeni published in 2014 posited that the average American household lost a third of its welth approximetely $28000 during the Great Recession. This was at the exact moment when a great many millennials were making decisions about attending college pursuing post-graduate studies or entering the workforce. For a medianincome family those decisions were all directly correlated to houshold wealth. The ripple effects of the Great Recession left many millennials ascribing blame directly to the stock market for missed opportunities. Even with a ful awareness tht the stock market has rebounded and far exceeded the highs seen prior to the Great Recession many millennials still fell trepidation about investing in the stock market preferring to sava a larger percenting of their salaries than their parents and grandparents did. A nother factor that has directly impacted the willingness or millennials to invest in the stock market is the seismic shift in the job market brought about by the gig economy in which short-term contracts and freelance work have replaced permanent employment. To a larger degree the gig economy is still in its nascent phase with many of the largest purveyors of jobs only incoporated in the last decade. Research has not adequately kept track of the trend with estimates of participation in the gig economy ranging from 4% to 40% in the United States. The ability to pick up work on contingency basis allows millennials to feel a greater leved of control over their finances something a significant number of them believe they cannot achieve through stock market investment. The increased diversity of available methods for building future wealth has caused many millennials to adopt an a la carte approach to preparing for retirement. But it is possible that this approach has been clouded by some common misconceptions about wealth builging ? One persistent albeit erroneous view is that real estate is a better investment instrument that a stock market porfolio. While it is true that home equity is the stepping-stone from which most individuals begin to build their personal wealth statistics make it clear that stock market investments are a more stable and lucrative source of long-term wealth. L London Business School study found that over the same 90-year period the average rate of return on a real estate investment was 1.3% compared to the 9.8% annulized total return for the S&P stock 500 index. Investing the $5500 IRS-imposed annual limit in an IRN for 25 years would result in a return of over $600000 based on the annualized return rate. Stock investment requires a smaller overhead than real eastate investment and the liquid nature of stocks makes them ideal for retirement stocks allocated to retirement accounts remain tax free until they are drawn on. Despite these pieces of tangible evidance though the stigma regarding stock market investment persists in the minds of many milennials.  Regardless of their feelings about the stock market one thing is self-eviden without preparatin for retirement milennials will be a generation adrift in a society without the social safety nets available to current retirees. The benchmark for the amount of savings the average retiree needs to live comfortably after retirement which remained at $1 million for many years now continues to rise and exacerbating factors such as the cost of medical care continue to increase. Armed with that knowledge millennials need to be proactive about financial planning. By taking full advantage of their penchant for a hands-on approach to finances and levaraging the various financial technologies and services that were not available to the previous generation milennials can amass the wealth necessary to retire comfortably and on their own terms.  Based on the passage which choice best describes a claim that critics of the current subway maintenance plan would likely make ?

Accepted Answer

NA

Question 11

Prove that tan^(-1)((1)(2))+tan^(-1)((1)(5))+tan^(-1)((1)(8))=(pi)(4)

Accepted Answer

NA

Question 12

This passage was adapted from an article titled Millennials and the Market written by a money management expect in 2018.  During the Golden Age of American manfuacturing it was expected that after putting in 30 to 40 years of tedious labor in a factory workers  would be able to retire around age 65 and enjoy the benefits of retirement comforted by the thought that a pension and the Social Security system they had financed for decades would  cover their expenses. unfortunately for millennials (people born between the early 1980s and late 1990s) prospects look increasing bleak that they will get a return on their inveestment at retirement age despite continuing to fund programs like Social Scurity of all Fortune 500 corporations still offer some form of pension plan to new hires and the move from company funded pension plans to 401 (k) plans and IRAs that began in the 1970s shows no sign of slackening. In this financial environment it might be expected that investment in the stock market would be at an all-time high. An analysis of the data however indicates a complicated and even fraught relationship between young adults and the stock market.  The trauma associated with the great Recession (which began in December 2007 and ended in june 2009) left many investors wary of stock  market volatility and that hesitancey was exacerbated among young people who saw a considerable protion of their families whalth erased in short order. A study by Pfeffe. Danziger and Schoeni published in 2014 posited that the average American household lost a third of its welth approximetely $28000 during the Great Recession. This was at the exact moment when a great many millennials were making decisions about attending college pursuing post-graduate studies or entering the workforce. For a medianincome family those decisions were all directly correlated to houshold wealth. The ripple effects of the Great Recession left many millennials ascribing blame directly to the stock market for missed opportunities. Even with a ful awareness tht the stock market has rebounded and far exceeded the highs seen prior to the Great Recession many millennials still fell trepidation about investing in the stock market preferring to sava a larger percenting of their salaries than their parents and grandparents did. A nother factor that has directly impacted the willingness or millennials to invest in the stock market is the seismic shift in the job market brought about by the gig economy in which short-term contracts and freelance work have replaced permanent employment. To a larger degree the gig economy is still in its nascent phase with many of the largest purveyors of jobs only incoporated in the last decade. Research has not adequately kept track of the trend with estimates of participation in the gig economy ranging from 4% to 40% in the United States. The ability to pick up work on contingency basis allows millennials to feel a greater leved of control over their finances something a significant number of them believe they cannot achieve through stock market investment. The increased diversity of available methods for building future wealth has caused many millennials to adopt an a la carte approach to preparing for retirement. But it is possible that this approach has been clouded by some common misconceptions about wealth builging ? One persistent albeit erroneous view is that real estate is a better investment instrument that a stock market porfolio. While it is true that home equity is the stepping-stone from which most individuals begin to build their personal wealth statistics make it clear that stock market investments are a more stable and lucrative source of long-term wealth. L London Business School study found that over the same 90-year period the average rate of return on a real estate investment was 1.3% compared to the 9.8% annulized total return for the S&P stock 500 index. Investing the $5500 IRS-imposed annual limit in an IRN for 25 years would result in a return of over $600000 based on the annualized return rate. Stock investment requires a smaller overhead than real eastate investment and the liquid nature of stocks makes them ideal for retirement stocks allocated to retirement accounts remain tax free until they are drawn on. Despite these pieces of tangible evidance though the stigma regarding stock market investment persists in the minds of many milennials.  Regardless of their feelings about the stock market one thing is self-eviden without preparatin for retirement milennials will be a generation adrift in a society without the social safety nets available to current retirees. The benchmark for the amount of savings the average retiree needs to live comfortably after retirement which remained at $1 million for many years now continues to rise and exacerbating factors such as the cost of medical care continue to increase. Armed with that knowledge millennials need to be proactive about financial planning. By taking full advantage of their penchant for a hands-on approach to finances and levaraging the various financial technologies and services that were not available to the previous generation milennials can amass the wealth necessary to retire comfortably and on their own terms.  Which choice provies the best evidence for the answer to the previous question ?

Accepted Answer

NA

Question 13

This passage was adapted from an article titled Millennials and the Market written by a money management expect in 2018.  During the Golden Age of American manfuacturing it was expected that after putting in 30 to 40 years of tedious labor in a factory workers  would be able to retire around age 65 and enjoy the benefits of retirement comforted by the thought that a pension and the Social Security system they had financed for decades would  cover their expenses. unfortunately for millennials (people born between the early 1980s and late 1990s) prospects look increasing bleak that they will get a return on their inveestment at retirement age despite continuing to fund programs like Social Scurity of all Fortune 500 corporations still offer some form of pension plan to new hires and the move from company funded pension plans to 401 (k) plans and IRAs that began in the 1970s shows no sign of slackening. In this financial environment it might be expected that investment in the stock market would be at an all-time high. An analysis of the data however indicates a complicated and even fraught relationship between young adults and the stock market.  The trauma associated with the great Recession (which began in December 2007 and ended in june 2009) left many investors wary of stock  market volatility and that hesitancey was exacerbated among young people who saw a considerable protion of their families whalth erased in short order. A study by Pfeffe. Danziger and Schoeni published in 2014 posited that the average American household lost a third of its welth approximetely $28000 during the Great Recession. This was at the exact moment when a great many millennials were making decisions about attending college pursuing post-graduate studies or entering the workforce. For a medianincome family those decisions were all directly correlated to houshold wealth. The ripple effects of the Great Recession left many millennials ascribing blame directly to the stock market for missed opportunities. Even with a ful awareness tht the stock market has rebounded and far exceeded the highs seen prior to the Great Recession many millennials still fell trepidation about investing in the stock market preferring to sava a larger percenting of their salaries than their parents and grandparents did. A nother factor that has directly impacted the willingness or millennials to invest in the stock market is the seismic shift in the job market brought about by the gig economy in which short-term contracts and freelance work have replaced permanent employment. To a larger degree the gig economy is still in its nascent phase with many of the largest purveyors of jobs only incoporated in the last decade. Research has not adequately kept track of the trend with estimates of participation in the gig economy ranging from 4% to 40% in the United States. The ability to pick up work on contingency basis allows millennials to feel a greater leved of control over their finances something a significant number of them believe they cannot achieve through stock market investment. The increased diversity of available methods for building future wealth has caused many millennials to adopt an a la carte approach to preparing for retirement. But it is possible that this approach has been clouded by some common misconceptions about wealth builging ? One persistent albeit erroneous view is that real estate is a better investment instrument that a stock market porfolio. While it is true that home equity is the stepping-stone from which most individuals begin to build their personal wealth statistics make it clear that stock market investments are a more stable and lucrative source of long-term wealth. L London Business School study found that over the same 90-year period the average rate of return on a real estate investment was 1.3% compared to the 9.8% annulized total return for the S&P stock 500 index. Investing the $5500 IRS-imposed annual limit in an IRN for 25 years would result in a return of over $600000 based on the annualized return rate. Stock investment requires a smaller overhead than real eastate investment and the liquid nature of stocks makes them ideal for retirement stocks allocated to retirement accounts remain tax free until they are drawn on. Despite these pieces of tangible evidance though the stigma regarding stock market investment persists in the minds of many milennials.  Regardless of their feelings about the stock market one thing is self-eviden without preparatin for retirement milennials will be a generation adrift in a society without the social safety nets available to current retirees. The benchmark for the amount of savings the average retiree needs to live comfortably after retirement which remained at $1 million for many years now continues to rise and exacerbating factors such as the cost of medical care continue to increase. Armed with that knowledge millennials need to be proactive about financial planning. By taking full advantage of their penchant for a hands-on approach to finances and levaraging the various financial technologies and services that were not available to the previous generation milennials can amass the wealth necessary to retire comfortably and on their own terms.  based on the passage advocates of the current New York City subway maintenance plan whuld most lilely agree that

Accepted Answer

NA

Question 14

Let o+and ox are two mathematical operators . If po+(q oxr)is equivalent to ((p^^q)rArrr) then o+ and ox

Accepted Answer

NA

Question 15

This passage was adapted from an article titled Millennials and the Market written by a money management expect in 2018.  During the Golden Age of American manfuacturing it was expected that after putting in 30 to 40 years of tedious labor in a factory workers  would be able to retire around age 65 and enjoy the benefits of retirement comforted by the thought that a pension and the Social Security system they had financed for decades would  cover their expenses. unfortunately for millennials (people born between the early 1980s and late 1990s) prospects look increasing bleak that they will get a return on their inveestment at retirement age despite continuing to fund programs like Social Scurity of all Fortune 500 corporations still offer some form of pension plan to new hires and the move from company funded pension plans to 401 (k) plans and IRAs that began in the 1970s shows no sign of slackening. In this financial environment it might be expected that investment in the stock market would be at an all-time high. An analysis of the data however indicates a complicated and even fraught relationship between young adults and the stock market.  The trauma associated with the great Recession (which began in December 2007 and ended in june 2009) left many investors wary of stock  market volatility and that hesitancey was exacerbated among young people who saw a considerable protion of their families whalth erased in short order. A study by Pfeffe. Danziger and Schoeni published in 2014 posited that the average American household lost a third of its welth approximetely $28000 during the Great Recession. This was at the exact moment when a great many millennials were making decisions about attending college pursuing post-graduate studies or entering the workforce. For a medianincome family those decisions were all directly correlated to houshold wealth. The ripple effects of the Great Recession left many millennials ascribing blame directly to the stock market for missed opportunities. Even with a ful awareness tht the stock market has rebounded and far exceeded the highs seen prior to the Great Recession many millennials still fell trepidation about investing in the stock market preferring to sava a larger percenting of their salaries than their parents and grandparents did. A nother factor that has directly impacted the willingness or millennials to invest in the stock market is the seismic shift in the job market brought about by the gig economy in which short-term contracts and freelance work have replaced permanent employment. To a larger degree the gig economy is still in its nascent phase with many of the largest purveyors of jobs only incoporated in the last decade. Research has not adequately kept track of the trend with estimates of participation in the gig economy ranging from 4% to 40% in the United States. The ability to pick up work on contingency basis allows millennials to feel a greater leved of control over their finances something a significant number of them believe they cannot achieve through stock market investment. The increased diversity of available methods for building future wealth has caused many millennials to adopt an a la carte approach to preparing for retirement. But it is possible that this approach has been clouded by some common misconceptions about wealth builging ? One persistent albeit erroneous view is that real estate is a better investment instrument that a stock market porfolio. While it is true that home equity is the stepping-stone from which most individuals begin to build their personal wealth statistics make it clear that stock market investments are a more stable and lucrative source of long-term wealth. L London Business School study found that over the same 90-year period the average rate of return on a real estate investment was 1.3% compared to the 9.8% annulized total return for the S&P stock 500 index. Investing the $5500 IRS-imposed annual limit in an IRN for 25 years would result in a return of over $600000 based on the annualized return rate. Stock investment requires a smaller overhead than real eastate investment and the liquid nature of stocks makes them ideal for retirement stocks allocated to retirement accounts remain tax free until they are drawn on. Despite these pieces of tangible evidance though the stigma regarding stock market investment persists in the minds of many milennials.  Regardless of their feelings about the stock market one thing is self-eviden without preparatin for retirement milennials will be a generation adrift in a society without the social safety nets available to current retirees. The benchmark for the amount of savings the average retiree needs to live comfortably after retirement which remained at $1 million for many years now continues to rise and exacerbating factors such as the cost of medical care continue to increase. Armed with that knowledge millennials need to be proactive about financial planning. By taking full advantage of their penchant for a hands-on approach to finances and levaraging the various financial technologies and services that were not available to the previous generation milennials can amass the wealth necessary to retire comfortably and on their own terms.  Which choice best describes the overall structure of the passage

Accepted Answer

NA

Question 16

Let p q and r denote three arbitrary statements. The logically equivalent of the statement p rarr ( q vee r )is

Accepted Answer

NA

Question 17

(i) y = x ^(4) x =1 x =5 and x-axis  (ii) y= x ^(2) x =0 x =2 andx-axis  (iii) y = x ^(2) -4 x=0 x=3 and x-axis  (iv) y = x ^(2) x=2 x=4 and x-axis.

Accepted Answer

NA

Question 18

The remainder when 7^(n)-6n-50(n in N) is divided by 36 is

Accepted Answer

NA

Question 19

This passage was adapted from an article titled Millennials and the Market written by a money management expect in 2018.  During the Golden Age of American manfuacturing it was expected that after putting in 30 to 40 years of tedious labor in a factory workers  would be able to retire around age 65 and enjoy the benefits of retirement comforted by the thought that a pension and the Social Security system they had financed for decades would  cover their expenses. unfortunately for millennials (people born between the early 1980s and late 1990s) prospects look increasing bleak that they will get a return on their inveestment at retirement age despite continuing to fund programs like Social Scurity of all Fortune 500 corporations still offer some form of pension plan to new hires and the move from company funded pension plans to 401 (k) plans and IRAs that began in the 1970s shows no sign of slackening. In this financial environment it might be expected that investment in the stock market would be at an all-time high. An analysis of the data however indicates a complicated and even fraught relationship between young adults and the stock market.  The trauma associated with the great Recession (which began in December 2007 and ended in june 2009) left many investors wary of stock  market volatility and that hesitancey was exacerbated among young people who saw a considerable protion of their families whalth erased in short order. A study by Pfeffe. Danziger and Schoeni published in 2014 posited that the average American household lost a third of its welth approximetely $28000 during the Great Recession. This was at the exact moment when a great many millennials were making decisions about attending college pursuing post-graduate studies or entering the workforce. For a medianincome family those decisions were all directly correlated to houshold wealth. The ripple effects of the Great Recession left many millennials ascribing blame directly to the stock market for missed opportunities. Even with a ful awareness tht the stock market has rebounded and far exceeded the highs seen prior to the Great Recession many millennials still fell trepidation about investing in the stock market preferring to sava a larger percenting of their salaries than their parents and grandparents did. A nother factor that has directly impacted the willingness or millennials to invest in the stock market is the seismic shift in the job market brought about by the gig economy in which short-term contracts and freelance work have replaced permanent employment. To a larger degree the gig economy is still in its nascent phase with many of the largest purveyors of jobs only incoporated in the last decade. Research has not adequately kept track of the trend with estimates of participation in the gig economy ranging from 4% to 40% in the United States. The ability to pick up work on contingency basis allows millennials to feel a greater leved of control over their finances something a significant number of them believe they cannot achieve through stock market investment. The increased diversity of available methods for building future wealth has caused many millennials to adopt an a la carte approach to preparing for retirement. But it is possible that this approach has been clouded by some common misconceptions about wealth builging ? One persistent albeit erroneous view is that real estate is a better investment instrument that a stock market porfolio. While it is true that home equity is the stepping-stone from which most individuals begin to build their personal wealth statistics make it clear that stock market investments are a more stable and lucrative source of long-term wealth. L London Business School study found that over the same 90-year period the average rate of return on a real estate investment was 1.3% compared to the 9.8% annulized total return for the S&P stock 500 index. Investing the $5500 IRS-imposed annual limit in an IRN for 25 years would result in a return of over $600000 based on the annualized return rate. Stock investment requires a smaller overhead than real eastate investment and the liquid nature of stocks makes them ideal for retirement stocks allocated to retirement accounts remain tax free until they are drawn on. Despite these pieces of tangible evidance though the stigma regarding stock market investment persists in the minds of many milennials.  Regardless of their feelings about the stock market one thing is self-eviden without preparatin for retirement milennials will be a generation adrift in a society without the social safety nets available to current retirees. The benchmark for the amount of savings the average retiree needs to live comfortably after retirement which remained at $1 million for many years now continues to rise and exacerbating factors such as the cost of medical care continue to increase. Armed with that knowledge millennials need to be proactive about financial planning. By taking full advantage of their penchant for a hands-on approach to finances and levaraging the various financial technologies and services that were not available to the previous generation milennials can amass the wealth necessary to retire comfortably and on their own terms.  With which one of the following statements would the author of the passage be most likely to agree ?

Accepted Answer

NA

Question 20

This passage was adapted from an article titled Millennials and the Market written by a money management expect in 2018.  During the Golden Age of American manfuacturing it was expected that after putting in 30 to 40 years of tedious labor in a factory workers  would be able to retire around age 65 and enjoy the benefits of retirement comforted by the thought that a pension and the Social Security system they had financed for decades would  cover their expenses. unfortunately for millennials (people born between the early 1980s and late 1990s) prospects look increasing bleak that they will get a return on their inveestment at retirement age despite continuing to fund programs like Social Scurity of all Fortune 500 corporations still offer some form of pension plan to new hires and the move from company funded pension plans to 401 (k) plans and IRAs that began in the 1970s shows no sign of slackening. In this financial environment it might be expected that investment in the stock market would be at an all-time high. An analysis of the data however indicates a complicated and even fraught relationship between young adults and the stock market.  The trauma associated with the great Recession (which began in December 2007 and ended in june 2009) left many investors wary of stock  market volatility and that hesitancey was exacerbated among young people who saw a considerable protion of their families whalth erased in short order. A study by Pfeffe. Danziger and Schoeni published in 2014 posited that the average American household lost a third of its welth approximetely $28000 during the Great Recession. This was at the exact moment when a great many millennials were making decisions about attending college pursuing post-graduate studies or entering the workforce. For a medianincome family those decisions were all directly correlated to houshold wealth. The ripple effects of the Great Recession left many millennials ascribing blame directly to the stock market for missed opportunities. Even with a ful awareness tht the stock market has rebounded and far exceeded the highs seen prior to the Great Recession many millennials still fell trepidation about investing in the stock market preferring to sava a larger percenting of their salaries than their parents and grandparents did. A nother factor that has directly impacted the willingness or millennials to invest in the stock market is the seismic shift in the job market brought about by the gig economy in which short-term contracts and freelance work have replaced permanent employment. To a larger degree the gig economy is still in its nascent phase with many of the largest purveyors of jobs only incoporated in the last decade. Research has not adequately kept track of the trend with estimates of participation in the gig economy ranging from 4% to 40% in the United States. The ability to pick up work on contingency basis allows millennials to feel a greater leved of control over their finances something a significant number of them believe they cannot achieve through stock market investment. The increased diversity of available methods for building future wealth has caused many millennials to adopt an a la carte approach to preparing for retirement. But it is possible that this approach has been clouded by some common misconceptions about wealth builging ? One persistent albeit erroneous view is that real estate is a better investment instrument that a stock market porfolio. While it is true that home equity is the stepping-stone from which most individuals begin to build their personal wealth statistics make it clear that stock market investments are a more stable and lucrative source of long-term wealth. L London Business School study found that over the same 90-year period the average rate of return on a real estate investment was 1.3% compared to the 9.8% annulized total return for the S&P stock 500 index. Investing the $5500 IRS-imposed annual limit in an IRN for 25 years would result in a return of over $600000 based on the annualized return rate. Stock investment requires a smaller overhead than real eastate investment and the liquid nature of stocks makes them ideal for retirement stocks allocated to retirement accounts remain tax free until they are drawn on. Despite these pieces of tangible evidance though the stigma regarding stock market investment persists in the minds of many milennials.  Regardless of their feelings about the stock market one thing is self-eviden without preparatin for retirement milennials will be a generation adrift in a society without the social safety nets available to current retirees. The benchmark for the amount of savings the average retiree needs to live comfortably after retirement which remained at $1 million for many years now continues to rise and exacerbating factors such as the cost of medical care continue to increase. Armed with that knowledge millennials need to be proactive about financial planning. By taking full advantage of their penchant for a hands-on approach to finances and levaraging the various financial technologies and services that were not available to the previous generation milennials can amass the wealth necessary to retire comfortably and on their own terms.  As used in line 41 labyrinthine most nearly means

Accepted Answer

NA

Question 21

This passage was adapted from an article titled Millennials and the Market written by a money management expect in 2018.  During the Golden Age of American manfuacturing it was expected that after putting in 30 to 40 years of tedious labor in a factory workers  would be able to retire around age 65 and enjoy the benefits of retirement comforted by the thought that a pension and the Social Security system they had financed for decades would  cover their expenses. unfortunately for millennials (people born between the early 1980s and late 1990s) prospects look increasing bleak that they will get a return on their inveestment at retirement age despite continuing to fund programs like Social Scurity of all Fortune 500 corporations still offer some form of pension plan to new hires and the move from company funded pension plans to 401 (k) plans and IRAs that began in the 1970s shows no sign of slackening. In this financial environment it might be expected that investment in the stock market would be at an all-time high. An analysis of the data however indicates a complicated and even fraught relationship between young adults and the stock market.  The trauma associated with the great Recession (which began in December 2007 and ended in june 2009) left many investors wary of stock  market volatility and that hesitancey was exacerbated among young people who saw a considerable protion of their families whalth erased in short order. A study by Pfeffe. Danziger and Schoeni published in 2014 posited that the average American household lost a third of its welth approximetely $28000 during the Great Recession. This was at the exact moment when a great many millennials were making decisions about attending college pursuing post-graduate studies or entering the workforce. For a medianincome family those decisions were all directly correlated to houshold wealth. The ripple effects of the Great Recession left many millennials ascribing blame directly to the stock market for missed opportunities. Even with a ful awareness tht the stock market has rebounded and far exceeded the highs seen prior to the Great Recession many millennials still fell trepidation about investing in the stock market preferring to sava a larger percenting of their salaries than their parents and grandparents did. A nother factor that has directly impacted the willingness or millennials to invest in the stock market is the seismic shift in the job market brought about by the gig economy in which short-term contracts and freelance work have replaced permanent employment. To a larger degree the gig economy is still in its nascent phase with many of the largest purveyors of jobs only incoporated in the last decade. Research has not adequately kept track of the trend with estimates of participation in the gig economy ranging from 4% to 40% in the United States. The ability to pick up work on contingency basis allows millennials to feel a greater leved of control over their finances something a significant number of them believe they cannot achieve through stock market investment. The increased diversity of available methods for building future wealth has caused many millennials to adopt an a la carte approach to preparing for retirement. But it is possible that this approach has been clouded by some common misconceptions about wealth builging ? One persistent albeit erroneous view is that real estate is a better investment instrument that a stock market porfolio. While it is true that home equity is the stepping-stone from which most individuals begin to build their personal wealth statistics make it clear that stock market investments are a more stable and lucrative source of long-term wealth. L London Business School study found that over the same 90-year period the average rate of return on a real estate investment was 1.3% compared to the 9.8% annulized total return for the S&P stock 500 index. Investing the $5500 IRS-imposed annual limit in an IRN for 25 years would result in a return of over $600000 based on the annualized return rate. Stock investment requires a smaller overhead than real eastate investment and the liquid nature of stocks makes them ideal for retirement stocks allocated to retirement accounts remain tax free until they are drawn on. Despite these pieces of tangible evidance though the stigma regarding stock market investment persists in the minds of many milennials.  Regardless of their feelings about the stock market one thing is self-eviden without preparatin for retirement milennials will be a generation adrift in a society without the social safety nets available to current retirees. The benchmark for the amount of savings the average retiree needs to live comfortably after retirement which remained at $1 million for many years now continues to rise and exacerbating factors such as the cost of medical care continue to increase. Armed with that knowledge millennials need to be proactive about financial planning. By taking full advantage of their penchant for a hands-on approach to finances and levaraging the various financial technologies and services that were not available to the previous generation milennials can amass the wealth necessary to retire comfortably and on their own terms.  The passage indicates that non-rush hour commuters

Accepted Answer

NA

Question 22

This passage was adapted from an article titled Millennials and the Market written by a money management expect in 2018.  During the Golden Age of American manfuacturing it was expected that after putting in 30 to 40 years of tedious labor in a factory workers  would be able to retire around age 65 and enjoy the benefits of retirement comforted by the thought that a pension and the Social Security system they had financed for decades would  cover their expenses. unfortunately for millennials (people born between the early 1980s and late 1990s) prospects look increasing bleak that they will get a return on their inveestment at retirement age despite continuing to fund programs like Social Scurity of all Fortune 500 corporations still offer some form of pension plan to new hires and the move from company funded pension plans to 401 (k) plans and IRAs that began in the 1970s shows no sign of slackening. In this financial environment it might be expected that investment in the stock market would be at an all-time high. An analysis of the data however indicates a complicated and even fraught relationship between young adults and the stock market.  The trauma associated with the great Recession (which began in December 2007 and ended in june 2009) left many investors wary of stock  market volatility and that hesitancey was exacerbated among young people who saw a considerable protion of their families whalth erased in short order. A study by Pfeffe. Danziger and Schoeni published in 2014 posited that the average American household lost a third of its welth approximetely $28000 during the Great Recession. This was at the exact moment when a great many millennials were making decisions about attending college pursuing post-graduate studies or entering the workforce. For a medianincome family those decisions were all directly correlated to houshold wealth. The ripple effects of the Great Recession left many millennials ascribing blame directly to the stock market for missed opportunities. Even with a ful awareness tht the stock market has rebounded and far exceeded the highs seen prior to the Great Recession many millennials still fell trepidation about investing in the stock market preferring to sava a larger percenting of their salaries than their parents and grandparents did. A nother factor that has directly impacted the willingness or millennials to invest in the stock market is the seismic shift in the job market brought about by the gig economy in which short-term contracts and freelance work have replaced permanent employment. To a larger degree the gig economy is still in its nascent phase with many of the largest purveyors of jobs only incoporated in the last decade. Research has not adequately kept track of the trend with estimates of participation in the gig economy ranging from 4% to 40% in the United States. The ability to pick up work on contingency basis allows millennials to feel a greater leved of control over their finances something a significant number of them believe they cannot achieve through stock market investment. The increased diversity of available methods for building future wealth has caused many millennials to adopt an a la carte approach to preparing for retirement. But it is possible that this approach has been clouded by some common misconceptions about wealth builging ? One persistent albeit erroneous view is that real estate is a better investment instrument that a stock market porfolio. While it is true that home equity is the stepping-stone from which most individuals begin to build their personal wealth statistics make it clear that stock market investments are a more stable and lucrative source of long-term wealth. L London Business School study found that over the same 90-year period the average rate of return on a real estate investment was 1.3% compared to the 9.8% annulized total return for the S&P stock 500 index. Investing the $5500 IRS-imposed annual limit in an IRN for 25 years would result in a return of over $600000 based on the annualized return rate. Stock investment requires a smaller overhead than real eastate investment and the liquid nature of stocks makes them ideal for retirement stocks allocated to retirement accounts remain tax free until they are drawn on. Despite these pieces of tangible evidance though the stigma regarding stock market investment persists in the minds of many milennials.  Regardless of their feelings about the stock market one thing is self-eviden without preparatin for retirement milennials will be a generation adrift in a society without the social safety nets available to current retirees. The benchmark for the amount of savings the average retiree needs to live comfortably after retirement which remained at $1 million for many years now continues to rise and exacerbating factors such as the cost of medical care continue to increase. Armed with that knowledge millennials need to be proactive about financial planning. By taking full advantage of their penchant for a hands-on approach to finances and levaraging the various financial technologies and services that were not available to the previous generation milennials can amass the wealth necessary to retire comfortably and on their own terms.  In the third paragraph the discussion of two specific subway lines (lines 44-49_ primarly serves to

Accepted Answer

NA

Question 23

This passage was adapted from an article titled Millennials and the Market written by a money management expect in 2018.  During the Golden Age of American manfuacturing it was expected that after putting in 30 to 40 years of tedious labor in a factory workers  would be able to retire around age 65 and enjoy the benefits of retirement comforted by the thought that a pension and the Social Security system they had financed for decades would  cover their expenses. unfortunately for millennials (people born between the early 1980s and late 1990s) prospects look increasing bleak that they will get a return on their inveestment at retirement age despite continuing to fund programs like Social Scurity of all Fortune 500 corporations still offer some form of pension plan to new hires and the move from company funded pension plans to 401 (k) plans and IRAs that began in the 1970s shows no sign of slackening. In this financial environment it might be expected that investment in the stock market would be at an all-time high. An analysis of the data however indicates a complicated and even fraught relationship between young adults and the stock market.  The trauma associated with the great Recession (which began in December 2007 and ended in june 2009) left many investors wary of stock  market volatility and that hesitancey was exacerbated among young people who saw a considerable protion of their families whalth erased in short order. A study by Pfeffe. Danziger and Schoeni published in 2014 posited that the average American household lost a third of its welth approximetely $28000 during the Great Recession. This was at the exact moment when a great many millennials were making decisions about attending college pursuing post-graduate studies or entering the workforce. For a medianincome family those decisions were all directly correlated to houshold wealth. The ripple effects of the Great Recession left many millennials ascribing blame directly to the stock market for missed opportunities. Even with a ful awareness tht the stock market has rebounded and far exceeded the highs seen prior to the Great Recession many millennials still fell trepidation about investing in the stock market preferring to sava a larger percenting of their salaries than their parents and grandparents did. A nother factor that has directly impacted the willingness or millennials to invest in the stock market is the seismic shift in the job market brought about by the gig economy in which short-term contracts and freelance work have replaced permanent employment. To a larger degree the gig economy is still in its nascent phase with many of the largest purveyors of jobs only incoporated in the last decade. Research has not adequately kept track of the trend with estimates of participation in the gig economy ranging from 4% to 40% in the United States. The ability to pick up work on contingency basis allows millennials to feel a greater leved of control over their finances something a significant number of them believe they cannot achieve through stock market investment. The increased diversity of available methods for building future wealth has caused many millennials to adopt an a la carte approach to preparing for retirement. But it is possible that this approach has been clouded by some common misconceptions about wealth builging ? One persistent albeit erroneous view is that real estate is a better investment instrument that a stock market porfolio. While it is true that home equity is the stepping-stone from which most individuals begin to build their personal wealth statistics make it clear that stock market investments are a more stable and lucrative source of long-term wealth. L London Business School study found that over the same 90-year period the average rate of return on a real estate investment was 1.3% compared to the 9.8% annulized total return for the S&P stock 500 index. Investing the $5500 IRS-imposed annual limit in an IRN for 25 years would result in a return of over $600000 based on the annualized return rate. Stock investment requires a smaller overhead than real eastate investment and the liquid nature of stocks makes them ideal for retirement stocks allocated to retirement accounts remain tax free until they are drawn on. Despite these pieces of tangible evidance though the stigma regarding stock market investment persists in the minds of many milennials.  Regardless of their feelings about the stock market one thing is self-eviden without preparatin for retirement milennials will be a generation adrift in a society without the social safety nets available to current retirees. The benchmark for the amount of savings the average retiree needs to live comfortably after retirement which remained at $1 million for many years now continues to rise and exacerbating factors such as the cost of medical care continue to increase. Armed with that knowledge millennials need to be proactive about financial planning. By taking full advantage of their penchant for a hands-on approach to finances and levaraging the various financial technologies and services that were not available to the previous generation milennials can amass the wealth necessary to retire comfortably and on their own terms.  The fifth paragraph (lines 66-90) serves mainly to

Accepted Answer

NA

Question 24

Integrate the following functions  int(2x-5)sqrt(x^(2)-4x+3)dx

Accepted Answer

NA

Question 25

LetP(n)=2^(3n)-7n-1 thenP(n)is divisibleby

Accepted Answer

NA

Question 26

State which of the following matrices is symmetricslew symmetric both or not either [[1-12][11-3][-231]]

Accepted Answer

NA

Question 27

If (sinA+sinB=a) and (cosA+cosB=b) then the value of cos(A+B) is equal to

Accepted Answer

NA

Question 28

Let x^k +y^k =a^k (ak gt 0)and(dy)(dx) +((y)(x))^(13) =0then k is……..

Accepted Answer

NA

Question 29

Linex-y=1intersect the parabola y^(2)=4x at A and B. Normals at A and B intersect at C. If D is the point at which line CD is normal to the parabola then coordinate of point D is

Accepted Answer

NA

Question 30

This passage was adapted from an article titled Millennials and the Market written by a money management expect in 2018.  During the Golden Age of American manfuacturing it was expected that after putting in 30 to 40 years of tedious labor in a factory workers  would be able to retire around age 65 and enjoy the benefits of retirement comforted by the thought that a pension and the Social Security system they had financed for decades would  cover their expenses. unfortunately for millennials (people born between the early 1980s and late 1990s) prospects look increasing bleak that they will get a return on their inveestment at retirement age despite continuing to fund programs like Social Scurity of all Fortune 500 corporations still offer some form of pension plan to new hires and the move from company funded pension plans to 401 (k) plans and IRAs that began in the 1970s shows no sign of slackening. In this financial environment it might be expected that investment in the stock market would be at an all-time high. An analysis of the data however indicates a complicated and even fraught relationship between young adults and the stock market.  The trauma associated with the great Recession (which began in December 2007 and ended in june 2009) left many investors wary of stock  market volatility and that hesitancey was exacerbated among young people who saw a considerable protion of their families whalth erased in short order. A study by Pfeffe. Danziger and Schoeni published in 2014 posited that the average American household lost a third of its welth approximetely $28000 during the Great Recession. This was at the exact moment when a great many millennials were making decisions about attending college pursuing post-graduate studies or entering the workforce. For a medianincome family those decisions were all directly correlated to houshold wealth. The ripple effects of the Great Recession left many millennials ascribing blame directly to the stock market for missed opportunities. Even with a ful awareness tht the stock market has rebounded and far exceeded the highs seen prior to the Great Recession many millennials still fell trepidation about investing in the stock market preferring to sava a larger percenting of their salaries than their parents and grandparents did. A nother factor that has directly impacted the willingness or millennials to invest in the stock market is the seismic shift in the job market brought about by the gig economy in which short-term contracts and freelance work have replaced permanent employment. To a larger degree the gig economy is still in its nascent phase with many of the largest purveyors of jobs only incoporated in the last decade. Research has not adequately kept track of the trend with estimates of participation in the gig economy ranging from 4% to 40% in the United States. The ability to pick up work on contingency basis allows millennials to feel a greater leved of control over their finances something a significant number of them believe they cannot achieve through stock market investment. The increased diversity of available methods for building future wealth has caused many millennials to adopt an a la carte approach to preparing for retirement. But it is possible that this approach has been clouded by some common misconceptions about wealth builging ? One persistent albeit erroneous view is that real estate is a better investment instrument that a stock market porfolio. While it is true that home equity is the stepping-stone from which most individuals begin to build their personal wealth statistics make it clear that stock market investments are a more stable and lucrative source of long-term wealth. L London Business School study found that over the same 90-year period the average rate of return on a real estate investment was 1.3% compared to the 9.8% annulized total return for the S&P stock 500 index. Investing the $5500 IRS-imposed annual limit in an IRN for 25 years would result in a return of over $600000 based on the annualized return rate. Stock investment requires a smaller overhead than real eastate investment and the liquid nature of stocks makes them ideal for retirement stocks allocated to retirement accounts remain tax free until they are drawn on. Despite these pieces of tangible evidance though the stigma regarding stock market investment persists in the minds of many milennials.  Regardless of their feelings about the stock market one thing is self-eviden without preparatin for retirement milennials will be a generation adrift in a society without the social safety nets available to current retirees. The benchmark for the amount of savings the average retiree needs to live comfortably after retirement which remained at $1 million for many years now continues to rise and exacerbating factors such as the cost of medical care continue to increase. Armed with that knowledge millennials need to be proactive about financial planning. By taking full advantage of their penchant for a hands-on approach to finances and levaraging the various financial technologies and services that were not available to the previous generation milennials can amass the wealth necessary to retire comfortably and on their own terms.  One central idea of the passage is that

Accepted Answer

NA

Question 31

If two variables X and Y are connected by the relation 2x+y=3 then e(xy) is equal to

Accepted Answer

NA

Question 32

Method of integration by parts  inte^(x)sin x cos x dx=...+c

Accepted Answer

NA

Question 33

If z_(k)=e^(i theta_k) for k= 1 2 3 4 where i^(2)= -1 and if |sum_(k=1)^(4) (1)(z_k)|=1 then |sum_(k=1)^(4)| is equal to

Accepted Answer

NA

Question 34

Let f g and h be functions from R to R. Show that  (f cdot g) o h = (foh) cdot (goh)

Accepted Answer

NA

Question 35

x sqrt(x+x^(2))

Accepted Answer

NA

Question 36

The solution of the equation 1!+2!+3!+…+x!=k^(2) where k in l are

Accepted Answer

NA

Question 37

Let U(xy) =e^(x) sin y where x=st^(2) y =s^(2) t s t in R. Find (del U)(del S) (del U)(del t) and evaluate them at s=t=1.

Accepted Answer

NA

Question 38

A 4 digit number made of digits 12345 is wirtten down at random without repetition. The probability that the number so formed is divisible by 6 is

Accepted Answer

NA

Question 39

Fill in the gaps with correct answer .If (1+sinA)(cosA) =sqrt2+1 then the value of (1-sinA)(cosA) is _____.

Accepted Answer

NA

Question 40

Let A = a b c d. The number of invertible functions f A to A satisfying the following conditions  f(d) = d f(a) ne a f(b) ne b is…………

Accepted Answer

NA

Question 41

Evaluate the following determinants  [[111][234][346]]

Accepted Answer

NA

Question 42

Which of the following compounds are dimerised due to the formation of 3 centre four electron bond-

Accepted Answer

NA

Question 43

A point P(xy) is such that its distance from the fixed point (alpha0) is equal to its distance from y-axis. Prove that the equation of the locus is given by y^2 = alpha (2x-alpha).

Accepted Answer

NA

Question 44

Which of the following are sets ? Justify your answer  (i) A team of eleven best cricket playes in the world.  (ii) The collection of difficult problems in a book.  (iii) The collection of all boys in the eleventh class of a particlular school.

Accepted Answer

NA

Question 45

If A=[(0-x)(x0)]B=[(01)(10)]andx^(2)=-1 then show that (A+B)^(2)=A^(2)+B^(2).

Accepted Answer

NA

Question 46

If tan x = (3)(4) pi lt x lt (3pi)(2) then the value of cos(x)(2) is

Accepted Answer

NA

Question 47

If the slope of one line is twice the slope of other in the pair of straight lines ax^(2) + 2 hxy + by^(2) = 0 then 8h^(2) is equal to

Accepted Answer

NA

Question 48

A The equation of the plane passing through the point (- 1 2 4) and parallel to the plane 2x + 3y – 5z +6=0 is 2x + 3y - 5z + 16 = 0.  R The equation of the plane passing through the point (x_1 y_1 z_1)and parallel to the plane ax + by + cz +d=0 is a(x – x_1) + b(y-y_1) + c(z - z_1) = 0

Accepted Answer

NA

Question 49

(-45) is a vertex of a square and one of its diagonals is 7x-y+8=0. Find the equation of a the other diagonal.

Accepted Answer

NA

Question 50

y=3x is tangent to the parabola 2y=ax^2+ab.  If b=18then the point of contact is

Accepted Answer

NA

Explore topic-wise InterviewSolutions in .

Let a distribution be made by combining three distribution each having mean zero standard deviations, each having mean zero, standard deviations 3,4 and 5 respectively. Then the variance of the combined distribution is equal to

Show that the line joining the incenter to the circumcentre of triangle ABC is inclined to the side BC at an angle tan^(-1) ((cos B + cos C -1)/(sin C - sin B))

Show that the lines (1-cos theta tan alpha) y^2 -(2cos theta+sin ^2 thata tan alpha )xy +cos thata (cos thata+tan alpha )x^2=0include an angle alpha between them .

If a, p are the roots of the quadratic equation x^2 - 2p (x - 4) - 15 = 0, then the set of values of p for which one root is less than 1 4 the other root is greater than 2 is:

If p and q are chosen randomly from the set {1, 2, 3, ………, 10} with replacement, then the probability that the roots of the equation x^(2)+px+q=0 are real is

Find (dy)/(dx) in the following : y= sin^(-1) ((2x)/(1+x^(2))).

Maximise Z = 3x + 4y, subject to the constraints : x+y le 1, x ge 0.

The solution of the differential equation (dy)/(dx) + (y)/(2) sec x = (tan x)/(2y), where 0 le x lt (pi)/(2), and y(0) = 1, is given

Prove that tan^(-1)((1)/(2))+tan^(-1)((1)/(5))+tan^(-1)((1)/(8))=(pi)/(4)

Let o+and ox are two mathematical operators . If po+(q oxr)is equivalent to ((p^^q)rArrr) , then o+ and ox

Let p, q and r denote three arbitrary statements. The logically equivalent of the statement p rarr ( q vee r )is

(i) y = x ^(4) , x =1, x =5 and x-axis (ii) y= x ^(2) , x =0, x =2 andx-axis (iii) y = x ^(2) -4, x=0, x=3 and x-axis (iv) y = x ^(2), x=2, x=4 and x-axis.

The remainder when 7^(n)-6n-50(n in N) is divided by 36, is

Integrate the following functions : int(2x-5)sqrt(x^(2)-4x+3)dx

LetP(n)=2^(3n)-7n-1 thenP(n)is divisibleby

State which of the following matrices is symmetric,slew symmetric, both or not either: [[1,-1,2],[1,1,-3],[-2,3,1]]

If (sinA+sinB=a) and (cosA+cosB=b) then the value of cos(A+B) is equal to

Let x^k +y^k =a^k (a,k gt 0)and(dy)/(dx) +((y)/(x))^(1/3) =0then k is……..

Linex-y=1intersect the parabola y^(2)=4x at A and B. Normals at A and B intersect at C. If D is the point at which line CD is normal to the parabola, then coordinate of point D is

If two variables X and Y are connected by the relation 2x+y=3, then e(x,y) is equal to

Method of integration by parts : inte^(x)sin x cos x dx=...+c

If z_(k)=e^(i theta_k) for k= 1, 2, 3, 4 where i^(2)= -1, and if |sum_(k=1)^(4) (1)/(z_k)|=1, then |sum_(k=1)^(4)| is equal to

Let f, g, and h be functions from R to R. Show that (f cdot g) o h = (foh) cdot (goh)

x sqrt(x+x^(2))

The solution of the equation 1!+2!+3!+…+x!=k^(2) where k in l are

Let U(x,y) =e^(x) sin y, where x=st^(2), y =s^(2) t, s, t in R. Find (del U)/(del S), (del U)/(del t) and evaluate them at s=t=1.

A 4 digit number made of digits 1,2,3,4,5 is wirtten down at random without repetition. The probability that the number so formed is divisible by 6 is

Fill in the gaps with correct answer .If (1+sinA)/(cosA) =sqrt2+1, then the value of (1-sinA)/(cosA) is _____.

Let A = {a, b, c, d}. The number of invertible functions f: A to A satisfying the following conditions: f(d) = d, f(a) ne a, f(b) ne b is…………

Evaluate the following determinants: [[1,1,1],[2,3,4],[3,4,6]]

Which of the following compounds are dimerised due to the formation of 3 centre four electron bond-

A point P(x,y) is such that its distance from the fixed point (alpha,0) is equal to its distance from y-axis. Prove that the equation of the locus is given by, y^2 = alpha (2x-alpha).

Which of the following are sets ? Justify your answer (i) A team of eleven best cricket playes in the world. (ii) The collection of difficult problems in a book. (iii) The collection of all boys in the eleventh class of a particlular school.

If A=[{:(0,-x),(x,0):}],B=[{:(0,1),(1,0):}]andx^(2)=-1 then show that (A+B)^(2)=A^(2)+B^(2).

If tan x = (3)/(4), pi lt x lt (3pi)/(2), then the value of cos""(x)/(2) is

If the slope of one line is twice the slope of other in the pair of straight lines ax^(2) + 2 hxy + by^(2) = 0 then 8h^(2) is equal to

A: The equation of the plane passing through the point (- 1, 2, 4) and parallel to the plane 2x + 3y – 5z +6=0 is 2x + 3y - 5z + 16 = 0. R: The equation of the plane passing through the point (x_1, y_1, z_1)and parallel to the plane ax + by + cz +d=0 is a(x – x_1) + b(y-y_1) + c(z - z_1) = 0

(-4,5) is a vertex of a square and one of its diagonals is 7x-y+8=0. Find the equation of a the other diagonal.

y=3x is tangent to the parabola 2y=ax^2+ab. If b=18,then the point of contact is

7901.	Let a distribution be made by combining three distribution each having mean zero standard deviations, each having mean zero, standard deviations 3,4 and 5 respectively. Then the variance of the combined distribution is equal to
Answer» `(266)/(15)` `17` ` (50)/(3) ` ` (62)/(15)` ANSWER :A

7902.	Show that the line joining the incenter to the circumcentre of triangle ABC is inclined to the side BC at an angle tan^(-1) ((cos B + cos C -1)/(sin C - sin B))
Answer» Solution :Let `I` be the incenter and O be the circumcenter of the triangle ABC. Let OL be PARALLEL to BC Let `angle IOL = theta` Now, `IM = r, OC = R, angle NOC = A`. Then `tan theta = (IL)/(OL) = (IM- LM)/(BM- BN)` `= (IM - ON)/(BM - NC)` `= (r - R cos A)/(r cot. (B)/(2) - R SIN A)` `=(4R sin.(A)/(2) sin.(B)/(2) sin.(C)/(2) - R COSA)/(4R sin.(A)/(2) sin.(B)/(2) sin.(C)/(2). cot. (B)/(2)- R sin A)` `=(cos A + cos B + cos C - 1- cos A)/(sin A + sin C - sin B - sin A)` `= (cos B + cos C -1)/(sin C - sin B)` or `theta = tan^(-1) [(cos B + cos C -1)/(sin C - sin B)]`

7903.	Show that the lines (1-cos theta tan alpha) y^2 -(2cos theta+sin ^2 thata tan alpha )xy +cos thata (cos thata+tan alpha )x^2=0include an angle alpha between them .
Answer»

7904.	If a, p are the roots of the quadratic equation x^2 - 2p (x - 4) - 15 = 0, then the set of values of p for which one root is less than 1 4 the other root is greater than 2 is:
Answer» ANSWER :`(-INFTY, 7/3)`

7905.	If p and q are chosen randomly from the set {1, 2, 3, ………, 10} with replacement, then the probability that the roots of the equation x^(2)+px+q=0 are real is
Answer» 0.62 0.32 0.44 0.55 Answer :A

7906.	Find (dy)/(dx) in the following : y= sin^(-1) ((2x)/(1+x^(2))).
Answer» ANSWER :`(2)/(1+x^(2))`

7907.	Maximise Z = 3x + 4y, subject to the constraints : x+y le 1, x ge 0.
Answer» ANSWER :The maximum value of OBJECTIVE function Z is 4 at CORNER point (0, 1)

7908.	The solution of the differential equation (dy)/(dx) + (y)/(2) sec x = (tan x)/(2y), where 0 le x lt (pi)/(2), and y(0) = 1, is given
Answer» `y^(2) = 1+(x)/(sec x + TAN x)` `y = 1+(x)/(sec x + tan x)` `y = 1-(x)/(sec x + tan x)` `y^(2) = 1-(x)/(sec x + tan x)` Answer :D

7909.	This passage was adapted from an article titled " Millennials and the Market," written by a money management expect in 2018. During the Golden Age of American manfuacturing, it was expected that after putting in 30 to 40 years of tedious labor in a factory, workers would be able to retire around age 65 and enjoy the benefits of retirement comforted by the thought that a pension and the Social Security system they had financed for decades would cover their expenses. unfortunately for millennials (people born between the early 1980s and late 1990s), prospects look increasing bleak that they will get a return on their inveestment at retirement age, despite continuing to fund programs like Social Scurity of all Fortune 500 corporations still offer some form of pension plan to new hires, and the move from company funded pension plans to 401 (k) plans and IRAs that began in the 1970s shows no sign of slackening. In this financial environment, it might be expected that investment in the stock market would be at an all-time high. An analysis of the data, however, indicates a complicated and even fraught relationship between young adults and the stock market. The trauma associated with the great Recession (which began in December 2007 and ended in june 2009) left many investors wary of stock market volatility, and that hesitancey was exacerbated among young people, who saw a considerable protion of their families' whalth erased in short order. A study by Pfeffe. Danziger, and Schoeni published in 2014 posited that the average American household lost a third of its welth, approximetely $28,000, during the Great Recession. This was at the exact moment when a great many millennials were making decisions about attending college, pursuing post-graduate studies, or entering the workforce. For a medianincome family, those decisions were all directly correlated to houshold wealth. The ripple effects of the Great Recession left many millennials ascribing blame directly to the stock market for missed opportunities. Even with a ful awareness tht the stock market has rebounded and far exceeded the highs seen prior to the Great Recession, many millennials still fell trepidation about investing in the stock market, preferring to sava a larger percenting of their salaries than their parents and grandparents did. A nother factor that has directly impacted the willingness or millennials to invest in the stock market is the seismic shift in the job market brought about by the "gig economy," in which short-term contracts and freelance work have replaced permanent employment. To a larger degree, the gig economy is still in its nascent phase, with many of the largest purveyors of jobs only incoporated in the last decade. Research has not adequately kept track of the trend, with estimates of participation in the gig economy ranging from 4% to 40% in the United States. The ability to pick up work on contingency basis allows millennials to feel a greater leved of control over their finances, something a significant number of them believe they cannot achieve through stock market investment. The increased diversity of available methods for building future wealth has caused many millennials to adopt an a la carte approach to preparing for retirement. But it is possible that this approach has been clouded by some common misconceptions about wealth builging ? One persistent, albeit erroneous, view is that real estate is a better investment instrument that a stock market porfolio. While it is true that home equity is the stepping-stone from which most individuals begin to build their personal wealth, statistics make it clear that stock market investments are a more stable and lucrative source of long-term wealth. L London Business School study found that over the same 90-year period, the average rate of return on a real estate investment was 1.3% compared to the 9.8% annulized total return for the S&P stock 500 index. Investing the $5,500 IRS-imposed annual limit in an IRN for 25 years would result in a return of over $600,000 based on the annualized return rate. Stock investment requires a smaller overhead than real eastate investment, and the liquid nature of stocks makes them ideal for retirement: stocks allocated to retirement accounts remain tax free until they are drawn on. Despite these pieces of tangible evidance, though, the stigma regarding stock market investment persists in the minds of many milennials. Regardless of their feelings about the stock market, one thing is self-eviden: without preparatin for retirement, milennials will be a generation adrift in a society without the social "safety nets" available to current retirees. The benchmark for the amount of savings the average retiree needs to live comfortably after retirement, which remained at $1 million for many years, now continues to rise, and exacerbating factors, such as the cost of medical care, continue to increase. Armed with that knowledge, millennials need to be proactive about financial planning. By taking full advantage of their penchant for a hands-on approach to finances and levaraging the various financial technologies and services that were not available to the previous generation, milennials can amass the wealth necessary to retire comfortably and on their own terms. Which choice provides the best evidence for the answer to the previous question ?
Answer» LINES 24-30 ("A subway…stops") Lines 60-65 ("Problems…later on") Lines 69-74 ("BEGINNING in …upgrades") Lines 84-90 ("MOREOVER, studies…them") ANSWER :C

7910.	This passage was adapted from an article titled " Millennials and the Market," written by a money management expect in 2018. During the Golden Age of American manfuacturing, it was expected that after putting in 30 to 40 years of tedious labor in a factory, workers would be able to retire around age 65 and enjoy the benefits of retirement comforted by the thought that a pension and the Social Security system they had financed for decades would cover their expenses. unfortunately for millennials (people born between the early 1980s and late 1990s), prospects look increasing bleak that they will get a return on their inveestment at retirement age, despite continuing to fund programs like Social Scurity of all Fortune 500 corporations still offer some form of pension plan to new hires, and the move from company funded pension plans to 401 (k) plans and IRAs that began in the 1970s shows no sign of slackening. In this financial environment, it might be expected that investment in the stock market would be at an all-time high. An analysis of the data, however, indicates a complicated and even fraught relationship between young adults and the stock market. The trauma associated with the great Recession (which began in December 2007 and ended in june 2009) left many investors wary of stock market volatility, and that hesitancey was exacerbated among young people, who saw a considerable protion of their families' whalth erased in short order. A study by Pfeffe. Danziger, and Schoeni published in 2014 posited that the average American household lost a third of its welth, approximetely $28,000, during the Great Recession. This was at the exact moment when a great many millennials were making decisions about attending college, pursuing post-graduate studies, or entering the workforce. For a medianincome family, those decisions were all directly correlated to houshold wealth. The ripple effects of the Great Recession left many millennials ascribing blame directly to the stock market for missed opportunities. Even with a ful awareness tht the stock market has rebounded and far exceeded the highs seen prior to the Great Recession, many millennials still fell trepidation about investing in the stock market, preferring to sava a larger percenting of their salaries than their parents and grandparents did. A nother factor that has directly impacted the willingness or millennials to invest in the stock market is the seismic shift in the job market brought about by the "gig economy," in which short-term contracts and freelance work have replaced permanent employment. To a larger degree, the gig economy is still in its nascent phase, with many of the largest purveyors of jobs only incoporated in the last decade. Research has not adequately kept track of the trend, with estimates of participation in the gig economy ranging from 4% to 40% in the United States. The ability to pick up work on contingency basis allows millennials to feel a greater leved of control over their finances, something a significant number of them believe they cannot achieve through stock market investment. The increased diversity of available methods for building future wealth has caused many millennials to adopt an a la carte approach to preparing for retirement. But it is possible that this approach has been clouded by some common misconceptions about wealth builging ? One persistent, albeit erroneous, view is that real estate is a better investment instrument that a stock market porfolio. While it is true that home equity is the stepping-stone from which most individuals begin to build their personal wealth, statistics make it clear that stock market investments are a more stable and lucrative source of long-term wealth. L London Business School study found that over the same 90-year period, the average rate of return on a real estate investment was 1.3% compared to the 9.8% annulized total return for the S&P stock 500 index. Investing the $5,500 IRS-imposed annual limit in an IRN for 25 years would result in a return of over $600,000 based on the annualized return rate. Stock investment requires a smaller overhead than real eastate investment, and the liquid nature of stocks makes them ideal for retirement: stocks allocated to retirement accounts remain tax free until they are drawn on. Despite these pieces of tangible evidance, though, the stigma regarding stock market investment persists in the minds of many milennials. Regardless of their feelings about the stock market, one thing is self-eviden: without preparatin for retirement, milennials will be a generation adrift in a society without the social "safety nets" available to current retirees. The benchmark for the amount of savings the average retiree needs to live comfortably after retirement, which remained at $1 million for many years, now continues to rise, and exacerbating factors, such as the cost of medical care, continue to increase. Armed with that knowledge, millennials need to be proactive about financial planning. By taking full advantage of their penchant for a hands-on approach to finances and levaraging the various financial technologies and services that were not available to the previous generation, milennials can amass the wealth necessary to retire comfortably and on their own terms. Based on the passage, which choice best describes a claim that critics of the current subway maintenance plan would likely make ?
Answer» The negative impacts that arise from neglectingpreventative maintenance outweigh the benefits of minimizing sebway service interruptins. When devising a subway maintenance PLAN, no FACTOR is more important than avoiding rush hour service interruptions. The negative impact from subway line CLOSURES is greater ion commuters than it is on businesses near the affected LINES. Slightly longer periods of scheduled maintenacnce would HELP the subway system minimize rush hour service interruptions. Answer :D

7932.	Method of integration by parts : inte^(x)sin x cos x dx=...+c
Answer» `(E^(x))/(2 sqrt(5))COS(2x-tan^(-1)2)` `(e^(x))/(2 sqrt(5))SIN(2x-tan^(-1)2)` `(e^(x))/(2 sqrt(5))sin(2x+tan^(-1)2)` `(e^(x))/(2 sqrt(5))sin(2x+pi-tan^(-1)2)` Answer :B

7935.	x sqrt(x+x^(2))
Answer» ANSWER :`:. I=(1)/(3)(x^(2)+x)^((3)/(2))-((2x+1))/(8) sqrt(x^(2)+x)+(1)/(16)log\|x+(1)/(2)+sqrt(x^(2)+x)\|+C`

7911.	Prove that tan^(-1)((1)/(2))+tan^(-1)((1)/(5))+tan^(-1)((1)/(8))=(pi)/(4)
Answer» ANSWER :`1-cos^2alpha=sin^2 ALPHA`

7912.	This passage was adapted from an article titled " Millennials and the Market," written by a money management expect in 2018. During the Golden Age of American manfuacturing, it was expected that after putting in 30 to 40 years of tedious labor in a factory, workers would be able to retire around age 65 and enjoy the benefits of retirement comforted by the thought that a pension and the Social Security system they had financed for decades would cover their expenses. unfortunately for millennials (people born between the early 1980s and late 1990s), prospects look increasing bleak that they will get a return on their inveestment at retirement age, despite continuing to fund programs like Social Scurity of all Fortune 500 corporations still offer some form of pension plan to new hires, and the move from company funded pension plans to 401 (k) plans and IRAs that began in the 1970s shows no sign of slackening. In this financial environment, it might be expected that investment in the stock market would be at an all-time high. An analysis of the data, however, indicates a complicated and even fraught relationship between young adults and the stock market. The trauma associated with the great Recession (which began in December 2007 and ended in june 2009) left many investors wary of stock market volatility, and that hesitancey was exacerbated among young people, who saw a considerable protion of their families' whalth erased in short order. A study by Pfeffe. Danziger, and Schoeni published in 2014 posited that the average American household lost a third of its welth, approximetely $28,000, during the Great Recession. This was at the exact moment when a great many millennials were making decisions about attending college, pursuing post-graduate studies, or entering the workforce. For a medianincome family, those decisions were all directly correlated to houshold wealth. The ripple effects of the Great Recession left many millennials ascribing blame directly to the stock market for missed opportunities. Even with a ful awareness tht the stock market has rebounded and far exceeded the highs seen prior to the Great Recession, many millennials still fell trepidation about investing in the stock market, preferring to sava a larger percenting of their salaries than their parents and grandparents did. A nother factor that has directly impacted the willingness or millennials to invest in the stock market is the seismic shift in the job market brought about by the "gig economy," in which short-term contracts and freelance work have replaced permanent employment. To a larger degree, the gig economy is still in its nascent phase, with many of the largest purveyors of jobs only incoporated in the last decade. Research has not adequately kept track of the trend, with estimates of participation in the gig economy ranging from 4% to 40% in the United States. The ability to pick up work on contingency basis allows millennials to feel a greater leved of control over their finances, something a significant number of them believe they cannot achieve through stock market investment. The increased diversity of available methods for building future wealth has caused many millennials to adopt an a la carte approach to preparing for retirement. But it is possible that this approach has been clouded by some common misconceptions about wealth builging ? One persistent, albeit erroneous, view is that real estate is a better investment instrument that a stock market porfolio. While it is true that home equity is the stepping-stone from which most individuals begin to build their personal wealth, statistics make it clear that stock market investments are a more stable and lucrative source of long-term wealth. L London Business School study found that over the same 90-year period, the average rate of return on a real estate investment was 1.3% compared to the 9.8% annulized total return for the S&P stock 500 index. Investing the $5,500 IRS-imposed annual limit in an IRN for 25 years would result in a return of over $600,000 based on the annualized return rate. Stock investment requires a smaller overhead than real eastate investment, and the liquid nature of stocks makes them ideal for retirement: stocks allocated to retirement accounts remain tax free until they are drawn on. Despite these pieces of tangible evidance, though, the stigma regarding stock market investment persists in the minds of many milennials. Regardless of their feelings about the stock market, one thing is self-eviden: without preparatin for retirement, milennials will be a generation adrift in a society without the social "safety nets" available to current retirees. The benchmark for the amount of savings the average retiree needs to live comfortably after retirement, which remained at $1 million for many years, now continues to rise, and exacerbating factors, such as the cost of medical care, continue to increase. Armed with that knowledge, millennials need to be proactive about financial planning. By taking full advantage of their penchant for a hands-on approach to finances and levaraging the various financial technologies and services that were not available to the previous generation, milennials can amass the wealth necessary to retire comfortably and on their own terms. Which choice provies the best evidence for the answer to the previous question ?
Answer» LINES 14-19("Such a …maintenance") Lines 30-37 ("The main…time") Lines 50-53 ("While…repairs") Lines 96-99 ("Proponents…maintenance") ANSWER :D

7913.	This passage was adapted from an article titled " Millennials and the Market," written by a money management expect in 2018. During the Golden Age of American manfuacturing, it was expected that after putting in 30 to 40 years of tedious labor in a factory, workers would be able to retire around age 65 and enjoy the benefits of retirement comforted by the thought that a pension and the Social Security system they had financed for decades would cover their expenses. unfortunately for millennials (people born between the early 1980s and late 1990s), prospects look increasing bleak that they will get a return on their inveestment at retirement age, despite continuing to fund programs like Social Scurity of all Fortune 500 corporations still offer some form of pension plan to new hires, and the move from company funded pension plans to 401 (k) plans and IRAs that began in the 1970s shows no sign of slackening. In this financial environment, it might be expected that investment in the stock market would be at an all-time high. An analysis of the data, however, indicates a complicated and even fraught relationship between young adults and the stock market. The trauma associated with the great Recession (which began in December 2007 and ended in june 2009) left many investors wary of stock market volatility, and that hesitancey was exacerbated among young people, who saw a considerable protion of their families' whalth erased in short order. A study by Pfeffe. Danziger, and Schoeni published in 2014 posited that the average American household lost a third of its welth, approximetely $28,000, during the Great Recession. This was at the exact moment when a great many millennials were making decisions about attending college, pursuing post-graduate studies, or entering the workforce. For a medianincome family, those decisions were all directly correlated to houshold wealth. The ripple effects of the Great Recession left many millennials ascribing blame directly to the stock market for missed opportunities. Even with a ful awareness tht the stock market has rebounded and far exceeded the highs seen prior to the Great Recession, many millennials still fell trepidation about investing in the stock market, preferring to sava a larger percenting of their salaries than their parents and grandparents did. A nother factor that has directly impacted the willingness or millennials to invest in the stock market is the seismic shift in the job market brought about by the "gig economy," in which short-term contracts and freelance work have replaced permanent employment. To a larger degree, the gig economy is still in its nascent phase, with many of the largest purveyors of jobs only incoporated in the last decade. Research has not adequately kept track of the trend, with estimates of participation in the gig economy ranging from 4% to 40% in the United States. The ability to pick up work on contingency basis allows millennials to feel a greater leved of control over their finances, something a significant number of them believe they cannot achieve through stock market investment. The increased diversity of available methods for building future wealth has caused many millennials to adopt an a la carte approach to preparing for retirement. But it is possible that this approach has been clouded by some common misconceptions about wealth builging ? One persistent, albeit erroneous, view is that real estate is a better investment instrument that a stock market porfolio. While it is true that home equity is the stepping-stone from which most individuals begin to build their personal wealth, statistics make it clear that stock market investments are a more stable and lucrative source of long-term wealth. L London Business School study found that over the same 90-year period, the average rate of return on a real estate investment was 1.3% compared to the 9.8% annulized total return for the S&P stock 500 index. Investing the $5,500 IRS-imposed annual limit in an IRN for 25 years would result in a return of over $600,000 based on the annualized return rate. Stock investment requires a smaller overhead than real eastate investment, and the liquid nature of stocks makes them ideal for retirement: stocks allocated to retirement accounts remain tax free until they are drawn on. Despite these pieces of tangible evidance, though, the stigma regarding stock market investment persists in the minds of many milennials. Regardless of their feelings about the stock market, one thing is self-eviden: without preparatin for retirement, milennials will be a generation adrift in a society without the social "safety nets" available to current retirees. The benchmark for the amount of savings the average retiree needs to live comfortably after retirement, which remained at $1 million for many years, now continues to rise, and exacerbating factors, such as the cost of medical care, continue to increase. Armed with that knowledge, millennials need to be proactive about financial planning. By taking full advantage of their penchant for a hands-on approach to finances and levaraging the various financial technologies and services that were not available to the previous generation, milennials can amass the wealth necessary to retire comfortably and on their own terms. based on the passage, advocates of the current New York City subway maintenance plan whuld most lilely agree that
Answer» given its size, the city's subway system is one of the most well maintained in the world. avoiding SERVICE interruptions during rush hour is a paramount consideration when designing a maintenance schedule. confusion CAUSED by route switching is a minor incoventience for commuters and tourists. operting the subway system 24 hours a day seven days a seek is untenable given the weare and TEAR it causes. Answer :A

7914.	Let o+and ox are two mathematical operators . If po+(q oxr)is equivalent to ((p^^q)rArrr) , then o+ and ox
Answer» can be `VV and ^^` respectively can be `^^ and vv` respectively can both be `RARR` can be `rArr and HARR` respectively ANSWER :C

7915.	This passage was adapted from an article titled " Millennials and the Market," written by a money management expect in 2018. During the Golden Age of American manfuacturing, it was expected that after putting in 30 to 40 years of tedious labor in a factory, workers would be able to retire around age 65 and enjoy the benefits of retirement comforted by the thought that a pension and the Social Security system they had financed for decades would cover their expenses. unfortunately for millennials (people born between the early 1980s and late 1990s), prospects look increasing bleak that they will get a return on their inveestment at retirement age, despite continuing to fund programs like Social Scurity of all Fortune 500 corporations still offer some form of pension plan to new hires, and the move from company funded pension plans to 401 (k) plans and IRAs that began in the 1970s shows no sign of slackening. In this financial environment, it might be expected that investment in the stock market would be at an all-time high. An analysis of the data, however, indicates a complicated and even fraught relationship between young adults and the stock market. The trauma associated with the great Recession (which began in December 2007 and ended in june 2009) left many investors wary of stock market volatility, and that hesitancey was exacerbated among young people, who saw a considerable protion of their families' whalth erased in short order. A study by Pfeffe. Danziger, and Schoeni published in 2014 posited that the average American household lost a third of its welth, approximetely $28,000, during the Great Recession. This was at the exact moment when a great many millennials were making decisions about attending college, pursuing post-graduate studies, or entering the workforce. For a medianincome family, those decisions were all directly correlated to houshold wealth. The ripple effects of the Great Recession left many millennials ascribing blame directly to the stock market for missed opportunities. Even with a ful awareness tht the stock market has rebounded and far exceeded the highs seen prior to the Great Recession, many millennials still fell trepidation about investing in the stock market, preferring to sava a larger percenting of their salaries than their parents and grandparents did. A nother factor that has directly impacted the willingness or millennials to invest in the stock market is the seismic shift in the job market brought about by the "gig economy," in which short-term contracts and freelance work have replaced permanent employment. To a larger degree, the gig economy is still in its nascent phase, with many of the largest purveyors of jobs only incoporated in the last decade. Research has not adequately kept track of the trend, with estimates of participation in the gig economy ranging from 4% to 40% in the United States. The ability to pick up work on contingency basis allows millennials to feel a greater leved of control over their finances, something a significant number of them believe they cannot achieve through stock market investment. The increased diversity of available methods for building future wealth has caused many millennials to adopt an a la carte approach to preparing for retirement. But it is possible that this approach has been clouded by some common misconceptions about wealth builging ? One persistent, albeit erroneous, view is that real estate is a better investment instrument that a stock market porfolio. While it is true that home equity is the stepping-stone from which most individuals begin to build their personal wealth, statistics make it clear that stock market investments are a more stable and lucrative source of long-term wealth. L London Business School study found that over the same 90-year period, the average rate of return on a real estate investment was 1.3% compared to the 9.8% annulized total return for the S&P stock 500 index. Investing the $5,500 IRS-imposed annual limit in an IRN for 25 years would result in a return of over $600,000 based on the annualized return rate. Stock investment requires a smaller overhead than real eastate investment, and the liquid nature of stocks makes them ideal for retirement: stocks allocated to retirement accounts remain tax free until they are drawn on. Despite these pieces of tangible evidance, though, the stigma regarding stock market investment persists in the minds of many milennials. Regardless of their feelings about the stock market, one thing is self-eviden: without preparatin for retirement, milennials will be a generation adrift in a society without the social "safety nets" available to current retirees. The benchmark for the amount of savings the average retiree needs to live comfortably after retirement, which remained at $1 million for many years, now continues to rise, and exacerbating factors, such as the cost of medical care, continue to increase. Armed with that knowledge, millennials need to be proactive about financial planning. By taking full advantage of their penchant for a hands-on approach to finances and levaraging the various financial technologies and services that were not available to the previous generation, milennials can amass the wealth necessary to retire comfortably and on their own terms. Which choice best describes the overall structure of the passage
Answer» A surprising attitude is intoruced, two criticisms of it are OFFERED, an ALTERNATIVE attitude is presented, and data proving the alternative is suerior is provided. A surprising attitufe is intorduced, two reasons for it are described, a mistaken idea associated with it is REVEALED through data, and its effect on those holding it is assessed. A previously held attitude is presented, reasons for its rejection are offered, new data is presented, and those rejecting the old atitude are endorsed. Two reasons for a previously held attitude are presented, both reasons are rejected, and data is presented to INTRODUCE an alternative attitude. Answer :B

7916.	Let p, q and r denote three arbitrary statements. The logically equivalent of the statement p rarr ( q vee r )is
Answer» `(p RARR ~ Q ) ^^ ( p rarr R) ` `( p rarr q)VEE (p rarr r) ` `(p rarr q ) ^^ (p rarr ~ r) ` `p vee q rarr p ` Answer :B

7917.	(i) y = x ^(4) , x =1, x =5 and x-axis (ii) y= x ^(2) , x =0, x =2 andx-axis (iii) y = x ^(2) -4, x=0, x=3 and x-axis (iv) y = x ^(2), x=2, x=4 and x-axis.
Answer» ANSWER :`624.8` SQ. units (ii) `8/3` sq. units (iii) 3 sq. units (IV) 60 sq. units

7918.	The remainder when 7^(n)-6n-50(n in N) is divided by 36, is
Answer» 22 23 1 21 Answer :B

7919.	This passage was adapted from an article titled " Millennials and the Market," written by a money management expect in 2018. During the Golden Age of American manfuacturing, it was expected that after putting in 30 to 40 years of tedious labor in a factory, workers would be able to retire around age 65 and enjoy the benefits of retirement comforted by the thought that a pension and the Social Security system they had financed for decades would cover their expenses. unfortunately for millennials (people born between the early 1980s and late 1990s), prospects look increasing bleak that they will get a return on their inveestment at retirement age, despite continuing to fund programs like Social Scurity of all Fortune 500 corporations still offer some form of pension plan to new hires, and the move from company funded pension plans to 401 (k) plans and IRAs that began in the 1970s shows no sign of slackening. In this financial environment, it might be expected that investment in the stock market would be at an all-time high. An analysis of the data, however, indicates a complicated and even fraught relationship between young adults and the stock market. The trauma associated with the great Recession (which began in December 2007 and ended in june 2009) left many investors wary of stock market volatility, and that hesitancey was exacerbated among young people, who saw a considerable protion of their families' whalth erased in short order. A study by Pfeffe. Danziger, and Schoeni published in 2014 posited that the average American household lost a third of its welth, approximetely $28,000, during the Great Recession. This was at the exact moment when a great many millennials were making decisions about attending college, pursuing post-graduate studies, or entering the workforce. For a medianincome family, those decisions were all directly correlated to houshold wealth. The ripple effects of the Great Recession left many millennials ascribing blame directly to the stock market for missed opportunities. Even with a ful awareness tht the stock market has rebounded and far exceeded the highs seen prior to the Great Recession, many millennials still fell trepidation about investing in the stock market, preferring to sava a larger percenting of their salaries than their parents and grandparents did. A nother factor that has directly impacted the willingness or millennials to invest in the stock market is the seismic shift in the job market brought about by the "gig economy," in which short-term contracts and freelance work have replaced permanent employment. To a larger degree, the gig economy is still in its nascent phase, with many of the largest purveyors of jobs only incoporated in the last decade. Research has not adequately kept track of the trend, with estimates of participation in the gig economy ranging from 4% to 40% in the United States. The ability to pick up work on contingency basis allows millennials to feel a greater leved of control over their finances, something a significant number of them believe they cannot achieve through stock market investment. The increased diversity of available methods for building future wealth has caused many millennials to adopt an a la carte approach to preparing for retirement. But it is possible that this approach has been clouded by some common misconceptions about wealth builging ? One persistent, albeit erroneous, view is that real estate is a better investment instrument that a stock market porfolio. While it is true that home equity is the stepping-stone from which most individuals begin to build their personal wealth, statistics make it clear that stock market investments are a more stable and lucrative source of long-term wealth. L London Business School study found that over the same 90-year period, the average rate of return on a real estate investment was 1.3% compared to the 9.8% annulized total return for the S&P stock 500 index. Investing the $5,500 IRS-imposed annual limit in an IRN for 25 years would result in a return of over $600,000 based on the annualized return rate. Stock investment requires a smaller overhead than real eastate investment, and the liquid nature of stocks makes them ideal for retirement: stocks allocated to retirement accounts remain tax free until they are drawn on. Despite these pieces of tangible evidance, though, the stigma regarding stock market investment persists in the minds of many milennials. Regardless of their feelings about the stock market, one thing is self-eviden: without preparatin for retirement, milennials will be a generation adrift in a society without the social "safety nets" available to current retirees. The benchmark for the amount of savings the average retiree needs to live comfortably after retirement, which remained at $1 million for many years, now continues to rise, and exacerbating factors, such as the cost of medical care, continue to increase. Armed with that knowledge, millennials need to be proactive about financial planning. By taking full advantage of their penchant for a hands-on approach to finances and levaraging the various financial technologies and services that were not available to the previous generation, milennials can amass the wealth necessary to retire comfortably and on their own terms. With which one of the following statements would the author of the passage be most likely to agree ?
Answer» The cuntroversy currounding Neq York City's subway system reflects similar ISSUES for mass transit in many American cities. Without major changes to its subway MAINTENANCE plan, New York City will be unable weekly raders. Any plan for maintaining New York City 'ssubway system will entail advantages and DISADVANTAGES for commutes. The social and ECONOMIC costs resulting from New York City's current subway maintenance schedule JUSTIFY an end to 24-hour, seven-day subway service. Answer :C

7920.	This passage was adapted from an article titled " Millennials and the Market," written by a money management expect in 2018. During the Golden Age of American manfuacturing, it was expected that after putting in 30 to 40 years of tedious labor in a factory, workers would be able to retire around age 65 and enjoy the benefits of retirement comforted by the thought that a pension and the Social Security system they had financed for decades would cover their expenses. unfortunately for millennials (people born between the early 1980s and late 1990s), prospects look increasing bleak that they will get a return on their inveestment at retirement age, despite continuing to fund programs like Social Scurity of all Fortune 500 corporations still offer some form of pension plan to new hires, and the move from company funded pension plans to 401 (k) plans and IRAs that began in the 1970s shows no sign of slackening. In this financial environment, it might be expected that investment in the stock market would be at an all-time high. An analysis of the data, however, indicates a complicated and even fraught relationship between young adults and the stock market. The trauma associated with the great Recession (which began in December 2007 and ended in june 2009) left many investors wary of stock market volatility, and that hesitancey was exacerbated among young people, who saw a considerable protion of their families' whalth erased in short order. A study by Pfeffe. Danziger, and Schoeni published in 2014 posited that the average American household lost a third of its welth, approximetely $28,000, during the Great Recession. This was at the exact moment when a great many millennials were making decisions about attending college, pursuing post-graduate studies, or entering the workforce. For a medianincome family, those decisions were all directly correlated to houshold wealth. The ripple effects of the Great Recession left many millennials ascribing blame directly to the stock market for missed opportunities. Even with a ful awareness tht the stock market has rebounded and far exceeded the highs seen prior to the Great Recession, many millennials still fell trepidation about investing in the stock market, preferring to sava a larger percenting of their salaries than their parents and grandparents did. A nother factor that has directly impacted the willingness or millennials to invest in the stock market is the seismic shift in the job market brought about by the "gig economy," in which short-term contracts and freelance work have replaced permanent employment. To a larger degree, the gig economy is still in its nascent phase, with many of the largest purveyors of jobs only incoporated in the last decade. Research has not adequately kept track of the trend, with estimates of participation in the gig economy ranging from 4% to 40% in the United States. The ability to pick up work on contingency basis allows millennials to feel a greater leved of control over their finances, something a significant number of them believe they cannot achieve through stock market investment. The increased diversity of available methods for building future wealth has caused many millennials to adopt an a la carte approach to preparing for retirement. But it is possible that this approach has been clouded by some common misconceptions about wealth builging ? One persistent, albeit erroneous, view is that real estate is a better investment instrument that a stock market porfolio. While it is true that home equity is the stepping-stone from which most individuals begin to build their personal wealth, statistics make it clear that stock market investments are a more stable and lucrative source of long-term wealth. L London Business School study found that over the same 90-year period, the average rate of return on a real estate investment was 1.3% compared to the 9.8% annulized total return for the S&P stock 500 index. Investing the $5,500 IRS-imposed annual limit in an IRN for 25 years would result in a return of over $600,000 based on the annualized return rate. Stock investment requires a smaller overhead than real eastate investment, and the liquid nature of stocks makes them ideal for retirement: stocks allocated to retirement accounts remain tax free until they are drawn on. Despite these pieces of tangible evidance, though, the stigma regarding stock market investment persists in the minds of many milennials. Regardless of their feelings about the stock market, one thing is self-eviden: without preparatin for retirement, milennials will be a generation adrift in a society without the social "safety nets" available to current retirees. The benchmark for the amount of savings the average retiree needs to live comfortably after retirement, which remained at $1 million for many years, now continues to rise, and exacerbating factors, such as the cost of medical care, continue to increase. Armed with that knowledge, millennials need to be proactive about financial planning. By taking full advantage of their penchant for a hands-on approach to finances and levaraging the various financial technologies and services that were not available to the previous generation, milennials can amass the wealth necessary to retire comfortably and on their own terms. As used in line 41, "labyrinthine" most nearly means
Answer» SUBTERRANEAN. mythological. MEANDERING. complicated. Answer :C

7921.	This passage was adapted from an article titled " Millennials and the Market," written by a money management expect in 2018. During the Golden Age of American manfuacturing, it was expected that after putting in 30 to 40 years of tedious labor in a factory, workers would be able to retire around age 65 and enjoy the benefits of retirement comforted by the thought that a pension and the Social Security system they had financed for decades would cover their expenses. unfortunately for millennials (people born between the early 1980s and late 1990s), prospects look increasing bleak that they will get a return on their inveestment at retirement age, despite continuing to fund programs like Social Scurity of all Fortune 500 corporations still offer some form of pension plan to new hires, and the move from company funded pension plans to 401 (k) plans and IRAs that began in the 1970s shows no sign of slackening. In this financial environment, it might be expected that investment in the stock market would be at an all-time high. An analysis of the data, however, indicates a complicated and even fraught relationship between young adults and the stock market. The trauma associated with the great Recession (which began in December 2007 and ended in june 2009) left many investors wary of stock market volatility, and that hesitancey was exacerbated among young people, who saw a considerable protion of their families' whalth erased in short order. A study by Pfeffe. Danziger, and Schoeni published in 2014 posited that the average American household lost a third of its welth, approximetely $28,000, during the Great Recession. This was at the exact moment when a great many millennials were making decisions about attending college, pursuing post-graduate studies, or entering the workforce. For a medianincome family, those decisions were all directly correlated to houshold wealth. The ripple effects of the Great Recession left many millennials ascribing blame directly to the stock market for missed opportunities. Even with a ful awareness tht the stock market has rebounded and far exceeded the highs seen prior to the Great Recession, many millennials still fell trepidation about investing in the stock market, preferring to sava a larger percenting of their salaries than their parents and grandparents did. A nother factor that has directly impacted the willingness or millennials to invest in the stock market is the seismic shift in the job market brought about by the "gig economy," in which short-term contracts and freelance work have replaced permanent employment. To a larger degree, the gig economy is still in its nascent phase, with many of the largest purveyors of jobs only incoporated in the last decade. Research has not adequately kept track of the trend, with estimates of participation in the gig economy ranging from 4% to 40% in the United States. The ability to pick up work on contingency basis allows millennials to feel a greater leved of control over their finances, something a significant number of them believe they cannot achieve through stock market investment. The increased diversity of available methods for building future wealth has caused many millennials to adopt an a la carte approach to preparing for retirement. But it is possible that this approach has been clouded by some common misconceptions about wealth builging ? One persistent, albeit erroneous, view is that real estate is a better investment instrument that a stock market porfolio. While it is true that home equity is the stepping-stone from which most individuals begin to build their personal wealth, statistics make it clear that stock market investments are a more stable and lucrative source of long-term wealth. L London Business School study found that over the same 90-year period, the average rate of return on a real estate investment was 1.3% compared to the 9.8% annulized total return for the S&P stock 500 index. Investing the $5,500 IRS-imposed annual limit in an IRN for 25 years would result in a return of over $600,000 based on the annualized return rate. Stock investment requires a smaller overhead than real eastate investment, and the liquid nature of stocks makes them ideal for retirement: stocks allocated to retirement accounts remain tax free until they are drawn on. Despite these pieces of tangible evidance, though, the stigma regarding stock market investment persists in the minds of many milennials. Regardless of their feelings about the stock market, one thing is self-eviden: without preparatin for retirement, milennials will be a generation adrift in a society without the social "safety nets" available to current retirees. The benchmark for the amount of savings the average retiree needs to live comfortably after retirement, which remained at $1 million for many years, now continues to rise, and exacerbating factors, such as the cost of medical care, continue to increase. Armed with that knowledge, millennials need to be proactive about financial planning. By taking full advantage of their penchant for a hands-on approach to finances and levaraging the various financial technologies and services that were not available to the previous generation, milennials can amass the wealth necessary to retire comfortably and on their own terms. The passage indicates that non-rush hour commuters
Answer» would risk losing public transportation OPTIONS if 24-hours subway service ware SUSPENDED. would face only minor inconveniences if 24-hour subway service were suspended. work primarily in health care and its related fiends. are among the strongest ADVOCATES for a change to the current subway MAINTANCE plan. Answer :B

7922.	This passage was adapted from an article titled " Millennials and the Market," written by a money management expect in 2018. During the Golden Age of American manfuacturing, it was expected that after putting in 30 to 40 years of tedious labor in a factory, workers would be able to retire around age 65 and enjoy the benefits of retirement comforted by the thought that a pension and the Social Security system they had financed for decades would cover their expenses. unfortunately for millennials (people born between the early 1980s and late 1990s), prospects look increasing bleak that they will get a return on their inveestment at retirement age, despite continuing to fund programs like Social Scurity of all Fortune 500 corporations still offer some form of pension plan to new hires, and the move from company funded pension plans to 401 (k) plans and IRAs that began in the 1970s shows no sign of slackening. In this financial environment, it might be expected that investment in the stock market would be at an all-time high. An analysis of the data, however, indicates a complicated and even fraught relationship between young adults and the stock market. The trauma associated with the great Recession (which began in December 2007 and ended in june 2009) left many investors wary of stock market volatility, and that hesitancey was exacerbated among young people, who saw a considerable protion of their families' whalth erased in short order. A study by Pfeffe. Danziger, and Schoeni published in 2014 posited that the average American household lost a third of its welth, approximetely $28,000, during the Great Recession. This was at the exact moment when a great many millennials were making decisions about attending college, pursuing post-graduate studies, or entering the workforce. For a medianincome family, those decisions were all directly correlated to houshold wealth. The ripple effects of the Great Recession left many millennials ascribing blame directly to the stock market for missed opportunities. Even with a ful awareness tht the stock market has rebounded and far exceeded the highs seen prior to the Great Recession, many millennials still fell trepidation about investing in the stock market, preferring to sava a larger percenting of their salaries than their parents and grandparents did. A nother factor that has directly impacted the willingness or millennials to invest in the stock market is the seismic shift in the job market brought about by the "gig economy," in which short-term contracts and freelance work have replaced permanent employment. To a larger degree, the gig economy is still in its nascent phase, with many of the largest purveyors of jobs only incoporated in the last decade. Research has not adequately kept track of the trend, with estimates of participation in the gig economy ranging from 4% to 40% in the United States. The ability to pick up work on contingency basis allows millennials to feel a greater leved of control over their finances, something a significant number of them believe they cannot achieve through stock market investment. The increased diversity of available methods for building future wealth has caused many millennials to adopt an a la carte approach to preparing for retirement. But it is possible that this approach has been clouded by some common misconceptions about wealth builging ? One persistent, albeit erroneous, view is that real estate is a better investment instrument that a stock market porfolio. While it is true that home equity is the stepping-stone from which most individuals begin to build their personal wealth, statistics make it clear that stock market investments are a more stable and lucrative source of long-term wealth. L London Business School study found that over the same 90-year period, the average rate of return on a real estate investment was 1.3% compared to the 9.8% annulized total return for the S&P stock 500 index. Investing the $5,500 IRS-imposed annual limit in an IRN for 25 years would result in a return of over $600,000 based on the annualized return rate. Stock investment requires a smaller overhead than real eastate investment, and the liquid nature of stocks makes them ideal for retirement: stocks allocated to retirement accounts remain tax free until they are drawn on. Despite these pieces of tangible evidance, though, the stigma regarding stock market investment persists in the minds of many milennials. Regardless of their feelings about the stock market, one thing is self-eviden: without preparatin for retirement, milennials will be a generation adrift in a society without the social "safety nets" available to current retirees. The benchmark for the amount of savings the average retiree needs to live comfortably after retirement, which remained at $1 million for many years, now continues to rise, and exacerbating factors, such as the cost of medical care, continue to increase. Armed with that knowledge, millennials need to be proactive about financial planning. By taking full advantage of their penchant for a hands-on approach to finances and levaraging the various financial technologies and services that were not available to the previous generation, milennials can amass the wealth necessary to retire comfortably and on their own terms. In the third paragraph, the discussion of two specific subway lines (lines 44-49_ primarly serves to
Answer» support the contention that line switching has a negative impect on tourism. illustrate one PROBLEM created by the current subway maintenance plan. underline the importance of minimizing subway service INTERRUPTIONS. quantify the social costs that ARISE from extended subway repair schedules. Answer :C

7923.	This passage was adapted from an article titled " Millennials and the Market," written by a money management expect in 2018. During the Golden Age of American manfuacturing, it was expected that after putting in 30 to 40 years of tedious labor in a factory, workers would be able to retire around age 65 and enjoy the benefits of retirement comforted by the thought that a pension and the Social Security system they had financed for decades would cover their expenses. unfortunately for millennials (people born between the early 1980s and late 1990s), prospects look increasing bleak that they will get a return on their inveestment at retirement age, despite continuing to fund programs like Social Scurity of all Fortune 500 corporations still offer some form of pension plan to new hires, and the move from company funded pension plans to 401 (k) plans and IRAs that began in the 1970s shows no sign of slackening. In this financial environment, it might be expected that investment in the stock market would be at an all-time high. An analysis of the data, however, indicates a complicated and even fraught relationship between young adults and the stock market. The trauma associated with the great Recession (which began in December 2007 and ended in june 2009) left many investors wary of stock market volatility, and that hesitancey was exacerbated among young people, who saw a considerable protion of their families' whalth erased in short order. A study by Pfeffe. Danziger, and Schoeni published in 2014 posited that the average American household lost a third of its welth, approximetely $28,000, during the Great Recession. This was at the exact moment when a great many millennials were making decisions about attending college, pursuing post-graduate studies, or entering the workforce. For a medianincome family, those decisions were all directly correlated to houshold wealth. The ripple effects of the Great Recession left many millennials ascribing blame directly to the stock market for missed opportunities. Even with a ful awareness tht the stock market has rebounded and far exceeded the highs seen prior to the Great Recession, many millennials still fell trepidation about investing in the stock market, preferring to sava a larger percenting of their salaries than their parents and grandparents did. A nother factor that has directly impacted the willingness or millennials to invest in the stock market is the seismic shift in the job market brought about by the "gig economy," in which short-term contracts and freelance work have replaced permanent employment. To a larger degree, the gig economy is still in its nascent phase, with many of the largest purveyors of jobs only incoporated in the last decade. Research has not adequately kept track of the trend, with estimates of participation in the gig economy ranging from 4% to 40% in the United States. The ability to pick up work on contingency basis allows millennials to feel a greater leved of control over their finances, something a significant number of them believe they cannot achieve through stock market investment. The increased diversity of available methods for building future wealth has caused many millennials to adopt an a la carte approach to preparing for retirement. But it is possible that this approach has been clouded by some common misconceptions about wealth builging ? One persistent, albeit erroneous, view is that real estate is a better investment instrument that a stock market porfolio. While it is true that home equity is the stepping-stone from which most individuals begin to build their personal wealth, statistics make it clear that stock market investments are a more stable and lucrative source of long-term wealth. L London Business School study found that over the same 90-year period, the average rate of return on a real estate investment was 1.3% compared to the 9.8% annulized total return for the S&P stock 500 index. Investing the $5,500 IRS-imposed annual limit in an IRN for 25 years would result in a return of over $600,000 based on the annualized return rate. Stock investment requires a smaller overhead than real eastate investment, and the liquid nature of stocks makes them ideal for retirement: stocks allocated to retirement accounts remain tax free until they are drawn on. Despite these pieces of tangible evidance, though, the stigma regarding stock market investment persists in the minds of many milennials. Regardless of their feelings about the stock market, one thing is self-eviden: without preparatin for retirement, milennials will be a generation adrift in a society without the social "safety nets" available to current retirees. The benchmark for the amount of savings the average retiree needs to live comfortably after retirement, which remained at $1 million for many years, now continues to rise, and exacerbating factors, such as the cost of medical care, continue to increase. Armed with that knowledge, millennials need to be proactive about financial planning. By taking full advantage of their penchant for a hands-on approach to finances and levaraging the various financial technologies and services that were not available to the previous generation, milennials can amass the wealth necessary to retire comfortably and on their own terms. The fifth paragraph (lines 66-90) serves mainly to
Answer» illustrate the impect of the CURRENT maintenance PLAN on one subway line. ADVOCATE for increased funding for subway REPAIR and maintenance. provide support for a proposal to curtial 24-hour subway service. outline the negative impects of extended subway line outages. ANSWER :C

7924.	Integrate the following functions : int(2x-5)sqrt(x^(2)-4x+3)dx
Answer» ANSWER :`(2)/(3)(x^(2)-4x+3)^(3/2)-(1)/(2)(x-2)sqrt(x^(2)-4x+3)+(1)/(2)log\|x-2+sqrt(x^(2)-4x+3)\|+C`

7925.	LetP(n)=2^(3n)-7n-1 thenP(n)is divisibleby
Answer» 63 36 49 25 Answer :C

7926.	State which of the following matrices is symmetric,slew symmetric, both or not either: [[1,-1,2],[1,1,-3],[-2,3,1]]
Answer» SOLUTION :NEITHER SYMMETRIC nor SKEW symmetric

7927.	If (sinA+sinB=a) and (cosA+cosB=b) then the value of cos(A+B) is equal to
Answer» `(a^(2)+B^(2))/(b^(2)-a^(2))` `(2AB)/(a^(2)+b^(2))` `(b^(2)-a^(2))/(a^(2)+b^(2))` `(a^(2)-b^(2))/(a^(2)+b^(2))` ANSWER :C

7928.	Let x^k +y^k =a^k (a,k gt 0)and(dy)/(dx) +((y)/(x))^(1/3) =0then k is……..
Answer» `1/3` `3/2` `2/3` `4/3` ANSWER :C

7929.	Linex-y=1intersect the parabola y^(2)=4x at A and B. Normals at A and B intersect at C. If D is the point at which line CD is normal to the parabola, then coordinate of point D is
Answer» `(4,-4)` (4,4) `(-4,-4)` None of these Solution :`(Sigmax_(i))/(10)=2"and"sqrt((SIGMA(x_(i)-2)^(2))/(10))=3` `(Sigma(x_(i)+1)^(2))/(10)=(1)/(10).Sigma(x_(1)-2+3)^(2)=(1)/(10).[Sigma(x_(i)-2)^(2)+6.Sigma(x_(i)-2)+3^(2).(10)]` `=(1)/(10).[90+6.(20-20)+90]=18`

7930.	This passage was adapted from an article titled " Millennials and the Market," written by a money management expect in 2018. During the Golden Age of American manfuacturing, it was expected that after putting in 30 to 40 years of tedious labor in a factory, workers would be able to retire around age 65 and enjoy the benefits of retirement comforted by the thought that a pension and the Social Security system they had financed for decades would cover their expenses. unfortunately for millennials (people born between the early 1980s and late 1990s), prospects look increasing bleak that they will get a return on their inveestment at retirement age, despite continuing to fund programs like Social Scurity of all Fortune 500 corporations still offer some form of pension plan to new hires, and the move from company funded pension plans to 401 (k) plans and IRAs that began in the 1970s shows no sign of slackening. In this financial environment, it might be expected that investment in the stock market would be at an all-time high. An analysis of the data, however, indicates a complicated and even fraught relationship between young adults and the stock market. The trauma associated with the great Recession (which began in December 2007 and ended in june 2009) left many investors wary of stock market volatility, and that hesitancey was exacerbated among young people, who saw a considerable protion of their families' whalth erased in short order. A study by Pfeffe. Danziger, and Schoeni published in 2014 posited that the average American household lost a third of its welth, approximetely $28,000, during the Great Recession. This was at the exact moment when a great many millennials were making decisions about attending college, pursuing post-graduate studies, or entering the workforce. For a medianincome family, those decisions were all directly correlated to houshold wealth. The ripple effects of the Great Recession left many millennials ascribing blame directly to the stock market for missed opportunities. Even with a ful awareness tht the stock market has rebounded and far exceeded the highs seen prior to the Great Recession, many millennials still fell trepidation about investing in the stock market, preferring to sava a larger percenting of their salaries than their parents and grandparents did. A nother factor that has directly impacted the willingness or millennials to invest in the stock market is the seismic shift in the job market brought about by the "gig economy," in which short-term contracts and freelance work have replaced permanent employment. To a larger degree, the gig economy is still in its nascent phase, with many of the largest purveyors of jobs only incoporated in the last decade. Research has not adequately kept track of the trend, with estimates of participation in the gig economy ranging from 4% to 40% in the United States. The ability to pick up work on contingency basis allows millennials to feel a greater leved of control over their finances, something a significant number of them believe they cannot achieve through stock market investment. The increased diversity of available methods for building future wealth has caused many millennials to adopt an a la carte approach to preparing for retirement. But it is possible that this approach has been clouded by some common misconceptions about wealth builging ? One persistent, albeit erroneous, view is that real estate is a better investment instrument that a stock market porfolio. While it is true that home equity is the stepping-stone from which most individuals begin to build their personal wealth, statistics make it clear that stock market investments are a more stable and lucrative source of long-term wealth. L London Business School study found that over the same 90-year period, the average rate of return on a real estate investment was 1.3% compared to the 9.8% annulized total return for the S&P stock 500 index. Investing the $5,500 IRS-imposed annual limit in an IRN for 25 years would result in a return of over $600,000 based on the annualized return rate. Stock investment requires a smaller overhead than real eastate investment, and the liquid nature of stocks makes them ideal for retirement: stocks allocated to retirement accounts remain tax free until they are drawn on. Despite these pieces of tangible evidance, though, the stigma regarding stock market investment persists in the minds of many milennials. Regardless of their feelings about the stock market, one thing is self-eviden: without preparatin for retirement, milennials will be a generation adrift in a society without the social "safety nets" available to current retirees. The benchmark for the amount of savings the average retiree needs to live comfortably after retirement, which remained at $1 million for many years, now continues to rise, and exacerbating factors, such as the cost of medical care, continue to increase. Armed with that knowledge, millennials need to be proactive about financial planning. By taking full advantage of their penchant for a hands-on approach to finances and levaraging the various financial technologies and services that were not available to the previous generation, milennials can amass the wealth necessary to retire comfortably and on their own terms. One central idea of the passage is that
Answer» changes to social "safety net" programs such an Social Security and Medicare will force milennials to retire later in life than their parents did. investing in the stock market is the only money management strategy that will allow milennials to amass savings sufficient to retire COMFORTABLY. leveraging opporunities in the "gig ECONOMY" has allowed millennials to avoid the risks associated with investing in the stock market. despite their distrust of the stock market, millennials will need a variety of investment tools and strategles to bulld ADEQUATE retirement SAVING. Answer :D