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I need help on number 1 part b Please help

I need help on number 1 part b Please help-example-1
User Samiles
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1 Answer

6 votes

SOLUTION

The exponential growth rate is given by


\begin{gathered} y=ab^x \\ \text{where } \\ a=\text{initail population} \\ b=growthrate\text{ } \\ x=Number\text{ of years } \end{gathered}

From the part b of the question


\begin{gathered} a=140 \\ b=1+r=1+(1)/(100)=1+0.01=1.01 \\ x=24 \end{gathered}

Substitute into the equation above


\begin{gathered} y=140*(1.01)^(24) \\ \text{Then } \\ y=177.76\text{ million } \end{gathered}

Therefore

b). The population will be 178 million

User Misterben
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