Question

A town has a population of 170000 and grows at 4% every year.what will be the population after 12 years

Answer 1

`\large \boxed{272175}`

Explanation:

We can use the exponential growth formula:

y = a(1+r)ˣ

where

y = amount after x time

a = initial amount

r = growth rate as a decimal fraction

x = number of years

Data:

a = 170 000

r = 0.04

Calculations:

`\begin{array}{rcll}y &= &170 000(1.04)^(12) & & \\& = &170 000 * 1.601032 &\\& = &\mathbf{272175} &\\\end{array}\\\text{The population will be $\large \boxed{\mathbf{272175}}$ in 12 yr}`

The figure below also shows that the population will grow to about 272 000 in 12 yr.