Question

The world population in 2000 was approximately 6 billion. The annual rate of increase was about 1.3%. Predict the population for 2013.

Answer 1

$\text{Population}_{2013}=7.096.987.496\text{ }$

Explanation

Step 1

you can find the population for 2013 using this formula:

$\begin{gathered} \text{Population}_{2013}=population_{2000}(1+r)^n \\ \text{where r is the rate ( decimal ,not percentage)} \\ n\text{ is the number of years} \end{gathered}$

Let

$\begin{gathered} r=1.3\text{ percent=}\frac{1.3}{100}=0.013 \\ n=13 \end{gathered}$

Step 2

replace

$\begin{gathered} \text{Population}_{2013}=population_{2000}(1+r)^n \\ \text{Population}_{2013}=6000000000(1+0.013)^{13} \\ \text{Population}_{2013}=6000000000(1.013)^{13} \\ \text{Population}_{2013}=6000000000(1.1828) \\ \text{Population}_{2013}=7.096.987.496 \end{gathered}$

I hope this helps you