Question

A certain forest covers an area of 1800 km2. Suppose that each year this area decreases by 8.5%. What will the area be after 14 years? Use the calculator provided and round your answer to the nearest square kilometer.

Answer 1

$\bf \qquad \textit{Amount for Exponential Decay}\\\\ A=I(1 - r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ I=\textit{initial amount}\to &1800\\ r=rate\to 8.5\%\to \frac{8.5}{100}\to &0.085\\ t=\textit{elapsed time}\to &14\\ \end{cases} \\\\\\ A=1800(1-0.085)^{14}$

Answer 2

$519km^{2}$ will be the area after $14$ years.

What is area?

Area is the quantity that expresses the extent of a region on the plane or on a curved surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

According to questions, a certain forest covers an area of  $1800$ $km^{2}$. Each year this area decreases by $8.5$%.

We have to find the area after 14 years.

Area after 14 years can be found using the below formula

$A=I(1-r)^{t}$

   $=1800(1-0.085)^{14}$

   $=1800$×$0.288$

   $=519km^{2}$

Hence, $519km^{2}$ will be the area after $14$ years.

Learn more about area here:

https://brainly.com/question/27683633?referrer=searchResults

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