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Suppose the population of a town is 13,000 and is growing 4% each year exponentially. predict the populatiion after 5 years.

User Evan Grim
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1 Answer

3 votes

Answer:

15816

Explanation:

You want the population after 5 years of a town of 13,000 with a growth rate of 4% per year.

Exponential function

The exponential function modeling the population growth can be written as ...

p(t) = (initial population) · (1 + population growth rate)^t

p(t) = 13000·1.04^t

In 5 years, the population will be ...

p(5) = 13000·1.04^5 ≈ 15816 . . . . people

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Suppose the population of a town is 13,000 and is growing 4% each year exponentially-example-1
User Benjamin Moskovits
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