Question

It is estimated that the population P of a certain country is given by the function P(t) = 4,000,000(1.02)^t where t is the number of years after 1989. If this trend continues, what will the population be 20 years after 1989?

Answer 1

Given the following function

$P(t)=4,000,000(1.02)^t$

Since t is the number of years after 1989, the population 20 years after 1989 is the same as t = 20. To find the value of the population 20 years from 1989, we just need to evaluate t = 20 on our given function. To evaluate a given value in our function, we just need to substitute our variable for our value.

$P(20)=4,000,000(1.02)^{20}=5,943,789.58391$

The population 20 years after 1989 will be 5,943,789.