Suppose a city with population 300 comma 000 has been growing at a rate of 3% per year. If this rate continues, find the population of this city in 13 years.

Question

asked Oct 26, 2021 75.4k views

1 Answer

Dillon Benson · Answer 1 · 2021-10-31T02:26:17+0000

Answer:

The population of this city in 13 years is 440,550.

Explanation:

Given:

Suppose a city with population 300, 000 has been growing at a rate of 3% per year.

Now, to find the population of this city in 13 years.

Let the population of this city in 13 years be

Population (
) = 300,000.

Rate per year (
) = 3%.

Time (
) = 13 years.

Now, we put formula to get the population of the city in 13 years:

$A=P(1+r)^t\\\\A=300,000(1+3\%)^(13)\\\\A=300,000(1+0.03)^(13)\\\\A=300,000(1.03)^(13)\\\\A=300,000* 1.4685\\\\A=440,550.$

Therefore, the population of this city in 13 years is 440,550.