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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?

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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?

Feb 7, 2021

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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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Feb 7, 2021
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Nice!!! 👍

IhaveOBJD  Feb 7, 2021
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Thank you.

Guest Feb 7, 2021
#3
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= 12000 (1 + .035)= ~ 15 267

Feb 7, 2021
#4
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To be sure, 15,267.35 ...  what is .35 of a person? ... maybe there's an expectant mother about 3 months along ....

Guest Feb 7, 2021
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Question said to round to the nearest whole number, Silly !

Guest Feb 7, 2021