Answer:
The area after 6 years is [tex]1519.49km^2[/tex]
Step-by-step explanation:
Given
[tex]a = 2100[/tex] --- Initial Value
[tex]r = 5.25\%[/tex] --- Rate
Required
Determine the area after 6 years
Because the area reduces,, the following formula will be used to solve the question.
[tex]y = a*(1 - r)^t[/tex]
Here
[tex]t = 6[/tex]
So, we have:
[tex]y = 2100*(1 - 5.25\%)^6[/tex]
Convert percentage to decimal
[tex]y = 2100*(1 - 0.0525)^6[/tex]
[tex]y = 2100*(0.9475)^6[/tex]
[tex]y = 1519.47866516[/tex]
[tex]y = 1519.49[/tex] -- approximated
The area after 6 years is [tex]1519.49km^2[/tex]
