A certain forest covers an area of 5000km^2. Suppose that each year this area decreases by 5.75%. What will the area be after 14 years?

... ?

The answer is 2182 km².

To calculate this, we will use the formula:

x * (1 + y) ⁿ

where:

x - the initial number

y - the change in decimals

n - period of time

We have:

x = 5000 km²

y = - 5.75% = - 5.75 / 100 = - 0.0575 (negative because decreasing)

n = 14 years

So, just substitute the parameters into the formula:

5000 * (1 - 0.0575) ¹⁴ = 5000 * 0.9425¹⁴ = 5000 * 0.4364 = 2182