Question

The population of city Z was 420,000 in the year 2000. If the population is projected to grow at a constant rate of 2 percent per year, which of the following is closest to the projected population of city Z in the year 2030?

Answer 1

760772

Explanation:

Given that the population of city Z was 420,000 in the year 2000.

The population is projected to grow at a constant rate of 2 percent per year,

We have to find the closest to the projected population of city Z in the year 2030

Since growing at 2% per year treating 2000 as year 0 we can say

`P(t)= 420000(1+0.02)^t` where t is the no of years lapsed after 2000.

So at the year 2030, t = 30

Population at th eyear 2030

=
`P(30) = 420000(1.02)^(30) \\=760771.86\\=760772`

the projected population of city Z in the year 2030 is 760772