1.

Amazon has the following balance sheet for years 2012 (incomplete) and 2011. Use the financial data information provided to construct the financial statements of the firm for year 2012, calculate, and analyze financial measures of the firm.Balance sheet figures are in thousands of dollars.CashAccounts receivableInventoriesTotal current assets Net fixed assetsTotal assetsAccounts payableAccrualsNotes payableTotal current liabilitiesLong-term debtTotal liabilitiesCommon stockRetained earningsTotal common equityTotal liabilities and equity2012 (000s)103,36538,444$244,65967,165$311.82430,76130,477 16,717$ 77,95576,264 $154,2197$157,6055311,8242011 (000s)$ 89,72585,52734,982$210,23442.436$252,670$ 23,10922,65614,217$ 59,98263,914$123,896 90,00038,774$128,774$252670a) Key input values to construct Income Statement are following.. Insert the key input datain the excel sheet and link the cells in calculations. Given this information, constructthe firm's 2012 income statement (round the final answer to 000s).• Sales for 2012 were $455,150,000EBITDA was 15% of sales.Depreciation and amortization were 11% of net fixed assets.Interest was $8,575,000.Corporate tax rate was 40%Amazon pays 40% of its net income in dividends.b) Construct the statement of R/E for the year ending December 31, 2012.c) Construct the statement of stockholder's equity for the year ending Decemberd) Construct the statement of cash flows for the year 2012.e) Complete and construct the balance sheet as of December 31, 2012.f) Calculate the following financial measures for the year 2012: • NOPATNOWCTotal Operating CapitalFCF• MVA EVAg) Interpret and analyze the above measures for the firm.31, 2012.Additional information:• Market stock price of Amazon share on December 31, 2012 is $65.Cost of capital (WACC) is 10%.Par value per share is $10.New shares issued in 2012@ a par value of $10 are 10 million.​

Answer»

Answer:

GIVEN: √5

We need to prove that √5 is irrational

Proof:

Let us assume that √5 is a rational number.

So it can be EXPRESSED in the form p/q where p,q are co-prime integers and q≠0

⇒ √5 = p/q

On squaring both the SIDES we GET,

⇒5 = p²/q²

⇒5q² = p² —————–(i)

p²/5 = q²

So 5 divides p

p is a multiple of 5

⇒ p = 5m

⇒ p² = 25m² ————-(ii)

From equations (i) and (ii), we get,

5q² = 25m²

⇒ q² = 5m²

⇒ q² is a multiple of 5

⇒ q is a multiple of 5

Hence, p,q have a common factor 5. This contradicts our assumption that they are co-primes. Therefore, p/q is not a rational number

√5 is an irrational number.

Hence proved

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