To calculate the area of the forest after 11 years, we need to apply the 7.5% decrease to the initial area for each year.
Given:
Initial area of the forest = 4400 km^2
Decrease rate = 7.5% = 0.075
To find the area after 11 years, we can use the formula:
Area after 11 years = Initial area * (1 - Decrease rate)^11
Substituting the given values:
Area after 11 years = 4400 km^2 * (1 - 0.075)^11
Calculating the result:
Area after 11 years ≈ 4400 km^2 * (0.925)^11
≈ 4400 km^2 * 0.417555646
≈ 1835.437 km^2
Therefore, the area of the forest after 11 years will be approximately 1835.437 km^2.