Question

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.

Answer 1

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
`A.`

Population (
`P`) = 300,000.

Rate per year (
`r`) = 3%.

Time (
`t`) = 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.