Acertain 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