A town has a population of 12000 and grows at 3.5% every year. What will be the population after 7 years, to the nearest whole number?

Guest Feb 7, 2021

#1**0 **

*A town has a population of 12000 and grows at 3.5% every year. What will be the population after 7 years, to the nearest whole number?*

When you start with 12,000 and add 3**.**5%, after the 1st year you have (12,000) • (1**.**035)

Then you start with that new amount and add 3**.**5%, so after the 2nd year you have [(12,000) • (1**.**035)] • (1**.**035)

You can continue that progression to demonstrate that after "n" years, you will have (12,000) • (1**.**035)^{n}

So after 7 years, the population will be (12,000) • (1**.**035)^{7}

You can multiply that out by hand or use a scientific calculator to get the answer **15,267**.

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Guest Feb 7, 2021