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

Answer:

760772

Step-by-step 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