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the population of a particular town 4 years back was 2500 current population is 4000. what will be the population after 4 years of rate of growth of population has been kept constant and it has been compounded annually |
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Answer» Given : The population of a particular town 4 years back was 2,500. The current population is 4,000. the rate of growth of the population has been kept constant and it has been compounded annually To find : What will be the population after a period of 4 years Solution: LET say rate of growth = r % per annum A = P(1 + r/100)ⁿ as rate of growth of the population has been kept constant and it has been compounded annually Population 4 years back = 2500 Time period n = 4 years Current population = 2500 ( 1 + r/100)⁴ => 4000 = 2500 ( 1 + r/100)⁴ => ( 1 + r/100)⁴ = 1.6 Current population = 4000 Population after 4 years = 4000 ( 1 + r/100)⁴ Substitute ( 1 + r/100)⁴ = 1.6 => Population after 4 years = 4000 * 1.6 => Population after 4 years = 6400 population after a period of 4 years = 6400 Learn more: Q2. Ravish INVESTS Rs. 2,50000 for 2 years at 8% per annum ... calculate the CI in 28000 at 12% per annum compounded annually ... |
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