Question

A town has a population of 13000 and grows at 2.5% every year. What will be the population after 5 years, to the nearest whole number?

Answer 1

The population of the town after 5 years will be 147089 (approx).

Step-by-step explanation:

The exponential growth equation is given by :-

f(x)=A(1+r)^x...(*)

, where A = initial population , r= rate of growth ( in decimal) and x is time.

As per given , we have

A= 13000

r=2.5%=0.025

x= 5 years

Using (*), the population of the town after 5 years would be :

f(5)=13000(1+0.025)^5=13000(1.025)^5\\\\=13000(1.13140821289)=14708.306767614708.3067676\approx147089

Hence, the population of the town after 5 years will be 147089 (approx).