Suppose a city with population of 800,000 has been growing at a rate of 4% per year. If this rate continues, find the population of this city in 10 years.

Question

asked Oct 10, 2021 109k views

1 Answer

Khorkrak · Answer 1 · 2021-10-13T18:08:53+0000

Answer:

The population of this city in 10 years is 118,4160.

Explanation:

Given:

Suppose a city with population of 800,000 has been growing at a rate of 4% per year.

If this rate continues.

Now, to find the population of this city in 10 years.

Let the population after growth be

Original population (
) = 800,000.

Growing rate per year (
) = 4%.

Number of years (
) = 10 years.

Now, we put formula to get the population of the city in 10 years:

A=P(1+r)^t

$A=800,000(1+4\%)^(10)$

$A=800,000(1+0.04)^(10)\\\\A=800,000(1.04)^(10)\\\\A=800,000* 1.4802\\\\A=118,4160.$

Therefore, the population of this city in 10 years is 118,4160.