Question

A town has a population of 23850 and grows at 3% every year. What will be the population after 10 years, to the nearest whole number

Answer 1

Let the population after 10 years be p

Then

`p=23850(1+0.03)^(10)`
`\Rightarrow\text{ p=23850}*1.03^(10)=32052`

Hence the population after 10 years is 32052

Given an intial population of p0 with a growth rate of r% per year. Then in

n years. The new population p, will be given by

`p=p_0(1+(r)/(100))^n`