Question

Statesville's population in 2010 was about 24,600, and was growing by about 1.2% each year. If this continues, what will Statesville's population be in 2016? [Round to the nearest person.]

Answer 1

Given

Statesville's population in 2010 was about 24,600.

And was growing by about 1.2% each year.

To find what will Statesville's population in 2016?

Step-by-step explanation:

It is given that,

The initial population is 24600 at 2010.

And, the growth rate is 1.2% each year.

Then,

`P=24600(1+(1.2)/(100))^t`

Since

`\begin{gathered} t=2016-2010 \\ =6 \end{gathered}`

Then,

`\begin{gathered} P=24600(1+0.012)^6 \\ =24600(1.012)^6 \\ =26425.1938 \\ =26425(Rounded\text{ to nearest integer}) \end{gathered}`

Hence, Statesville's population in 2016 is 26425.