Question
A town has a population of 17000 and grows at 3% every year. What will be the population after 10 years, to the nearest whole number?
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Answer
A town has a population of 17000 and grows at 3% every year. What will be the population after 10 years, to the nearest whole number?
Answered by
GPT 3.5
To find the population after 10 years, we can use the formula:
Population after n years = Population * (1 + growth rate)^n
where:
- Population = 17000 (initial population)
- Growth rate = 3% = 0.03
- n = 10 (years)
Plugging in the values:
Population after 10 years = 17000 * (1 + 0.03)^10
Calculating:
Population after 10 years ≈ 17000 * (1.03)^10 ≈ 17000 * 1.343916379 ≈ 22,875.78 ≈ 22,876
Therefore, the population after 10 years would be approximately 22,876.
Population after n years = Population * (1 + growth rate)^n
where:
- Population = 17000 (initial population)
- Growth rate = 3% = 0.03
- n = 10 (years)
Plugging in the values:
Population after 10 years = 17000 * (1 + 0.03)^10
Calculating:
Population after 10 years ≈ 17000 * (1.03)^10 ≈ 17000 * 1.343916379 ≈ 22,875.78 ≈ 22,876
Therefore, the population after 10 years would be approximately 22,876.
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