A certain forest covers an area of 3700km^2. Suppose that each year this area decreases by 3.25% . What will the area be after 9 years? round your answer to the nearest square kilometer.
To find the area after 9 years, we need to multiply the original area by (1 - 3.25%) nine times.
(1 - 3.25%) = 0.9675
3700 km^2 * (0.9675)^9 ≈ 3700 km^2 * 0.785 ≈ 2904.5 km^2
Rounded to the nearest square kilometer, the area will be approximately 2905 km^2.
To find the area of the forest after 9 years, we need to calculate the decrease in area each year and subtract it from the initial area.
Step 1: Calculate the annual decrease in area.
The annual decrease is given as 3.25% of the initial area.
Annual decrease = 3.25% of 3700 km^2
Annual decrease = 0.0325 * 3700
Annual decrease ≈ 120.25 km^2
Step 2: Calculate the area after 9 years.
The area after 9 years is the initial area minus the total decrease in area over the 9 years.
Area after 9 years = 3700 km^2 - (annual decrease * 9)
Area after 9 years = 3700 km^2 - (120.25 km^2 * 9)
Area after 9 years ≈ 3700 km^2 - 1082.25 km^2
Area after 9 years ≈ 2617.75 km^2
Rounding to the nearest square kilometer, the area of the forest after 9 years is approximately 2618 km^2.