Multiple choice

The population of a town is $1200$ in $2010$. From $2010$ to $2015$, the population of the town increased by $10\%$ per year. Whats the population of the town in $2015$?

  1. $4932.612$
  2. $3932.612$
  3. $2932.612$
  4. $1932.612$
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D Correct answer
Explanation

Population = P * (1 + r/100)^n. P = 1200, r = 10, n = 5. Population = 1200 * (1.1)^5 = 1200 * 1.61051 = 1932.612.

AI explanation

The population increases by 10 percent per year for 5 years, so we apply the compound interest formula to the initial population of 1200. The formula is Final Population = 1200 * (1 + 0.10)^5. Calculating this gives 1200 * 1.61051, which equals 1932.612.

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