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{ }`

Step-by-step 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=}(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