Question

A population of 110,000 grows 3% per years 15 years. How much will the population. How much will the population be after 15 years? Terms of x

Answer 1

The population be after 15 years is 171376.

Explanation:

Given : A population of 110,000 grows 3% per years 15 years.

To find : How much will the population be after 15 years?

Solution :

Exponential growth population model is given by,

`P(t)=P_o(1+r)^t`

Where,

P(t) is the population at time (t)

`P_o=110,000` is the initial value of the population

r=3%=0.03 is the annual rate of growth

t=15 is the time in years.

Substitute the value,

`P(t)=110000(1+0.03)^(15)`

`P(t)=110000(1.03)^(15)`

`P(t)=110000* 1.5579`

`P(t)=171376.41`

Therefore, the population be after 15 years is 171376.