Question

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

Answer 1

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`