Respuesta :
ANSWER
The area of the forest after 13 years is 1,11758km^2
EXPLANATION
Given that;
[tex]\begin{gathered} \text{ The original area of forest is 1900km}^2 \\ \text{ The percentage decrease is 4\%} \\ \text{ time is 13 years} \end{gathered}[/tex]Follow the steps below to find the area of the forest after 13 years
Since the size of the forest decreases every year by 4%, then apply the below formula
[tex]\text{ A = A}_{o\text{ }}(1\text{ - r\rparen}^t[/tex]Where
A is the area of the forest after some years
Ao is the original area of the forest
r is the interest rate
t is the time
[tex]\begin{gathered} \text{ A = 1900 \lparen 1 - }\frac{4}{100})^{13} \\ \\ \text{ A = 1900 \lparen1 - 0.04\rparen}^{13} \\ \text{ A = 1900 \lparen0.96\rparen}^{13} \\ \text{ A = 1900 }\times\text{ 0.5882} \\ \text{ A = 1,117.58km}^2 \end{gathered}[/tex]Therefore, the area of the forest after 13 years is 1,11758km^2
