Multiple choice

The population of a town in $2009$ was $125000$. It increase $10\%$ per year. What is the population after $3$ years?

  1. $166375$
  2. $170000$
  3. $125000$
  4. $10000$
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A Correct answer
Explanation

The population after 3 years is calculated using the compound interest formula: P * (1 + r/100)^n. Here, 125000 * (1.1)^3 = 125000 * 1.331 = 166375.

AI explanation

We use the compound growth formula to find the final population: Final Population = Initial Population * (1 + Rate/100)^Time. Substituting the values gives 125000 * (1 + 10/100)^3, which simplifies to 125000 * (11/10)^3. Evaluating the cube gives 125000 * 1331/1000, which results in a final population of 166375 after 3 years.

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