A certain forest covers an area of 2100 km^2. Suppose that each year this area decreases by 5.25%. What will the area be after 6 years

Question

asked Feb 2, 2022 188k views

1 Answer

Nduplessis · Answer 1 · 2022-02-06T12:34:58+0000

Answer:

The area after 6 years is
1519.49km^2

Explanation:

Given

a = 2100 --- Initial Value

$r = 5.25\%$ --- Rate

Required

Determine the area after 6 years

Because the area reduces,, the following formula will be used to solve the question.

y = a*(1 - r)^t

Here

t = 6

So, we have:

$y = 2100*(1 - 5.25\%)^6$

Convert percentage to decimal

y = 2100*(1 - 0.0525)^6

y = 2100*(0.9475)^6

y = 1519.47866516

y = 1519.49 -- approximated

The area after 6 years is
1519.49km^2