Question

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

Answer 1

Answer:

  15816

Step-by-step 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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