Question

A certain forest covers an area of 4900 km². Suppose that each year this area decreases by 3.5%. What will the area be after 10 years?

round your answer to the nearest square kilometer.

Answer 1

Below

Explanation:

The formula to calculate the final area after a certain percentage of decrease for a given number of years is:

Final area = Initial area x (1 - percentage decrease)^number of years

In this case, the initial area is 4900 km² and the percentage decrease is 3.5%.

We need to calculate the final area after 10 years.

First, we need to convert the percentage decrease to a decimal:

3.5% = 0.035

Substituting the values into the formula, we get:

Final area = 4900 km² x (1 - 0.035)^10

Final area = 4900 km² x 0.6657

Final area = 3260.93 km²Rounding to the nearest square kilometer, the area of the forest after 10 years will be 3261 km².