A certain forest covers an area of 4500 km^2 suppose that each year this area decreases by 4.5% what will the area be after 12 years?

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asked Jun 28, 2023 154k views

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Yervand Khalapyan · Answer 1 · 2023-07-02T08:43:37+0000

Step 1

Given;

$\begin{gathered} \text{Area the forest covers=4500km}^2 \\ \text{The area decreases by 4.5\% yearly} \end{gathered}$

Required; To find area after 12 years

Step 2

State the formula for the population decrease

where;

$\begin{gathered} P_0=4500\operatorname{km} \\ r=(4.5)/(100)=0.045 \\ t=12 \\ P=\text{ Area after a given period of time in the case 12 years} \end{gathered}$

Step 3

Find the area after 12 years

$\begin{gathered} P=4500(1-0.045)^(12) \\ P=4500(0.955)^(12) \\ P=2589.720966 \\ P\approx2589.72\operatorname{km}^2\text{ } \end{gathered}$

Hence, the area the forest will cover after 12 years approximately to decimal places will be = $2589.72 km²

A certain forest covers an area of 4500 km^2 suppose that each year this area decreases by 4.5% what will the area be after 12 years?

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