Select the correct answerThe population of a city is 160,000.If it increases at the rate of 6% per annum, then what will be its population 2 years hence?Options10000001797762580000NONEFinish ClearPrev Next
Question
Select the correct answerThe population of a city is 160,000.If it increases at the rate of 6% per annum, then what will be its population 2 years hence?Options10000001797762580000NONEFinish ClearPrev Next
Solution
To solve this problem, we need to apply the formula for compound interest, which is also used to calculate population growth. The formula is:
P' = P * (1 + r/100)^n
where: P' is the new population, P is the initial population, r is the rate of increase, and n is the number of years.
Given in the problem: P = 160,000 (initial population) r = 6% (rate of increase per annum) n = 2 years
Substituting these values into the formula, we get:
P' = 160,000 * (1 + 6/100)^2 P' = 160,000 * (1.06)^2 P' = 160,000 * 1.1236 P' = 179776
So, the population of the city 2 years hence will be approximately 179776. Therefore, the correct answer is 179776.
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