A certain forest covers an area of 3600 km2. Suppose that each year this area decreases by 3%. What will the area be after 14 years?Use the calculator provided and round your answer to the nearest square kilometer.km2

To solve this problem, we need to understand that the forest is decreasing at a rate of 3% per year. This is a compound decrease problem.

Here are the steps to solve it:

1. Convert the percentage decrease to a decimal by dividing by 100. So, 3% becomes 0.03.

2. Subtract this from 1 (since the area is decreasing, not increasing). So, 1 - 0.03 = 0.97. This is the annual rate of decrease.

3. Now, we need to apply this decrease over 14 years. We do this by raising the rate of decrease to the power of the number of years. So, 0.97^14 = 0.688.

4. Finally, we multiply this by the initial area of the forest to find the area after 14 years. So, 3600 km^2 * 0.688 = 2476.8 km^2.

5. Rounding this to the nearest square kilometer, we get 2477 km^2.

So, the area of the forest will be approximately 2477 km^2 after 14 years.

To solve this problem, we need to understand that the forest is decreasing at a rate of 3% per year. This is a compound decrease problem.

Here are the steps to solve it:

1. Convert the percentage decrease to a decimal by dividing by 100. So, 3% becomes 0.03.

2. Since the area is decreasing each year, we subtract the decrease from 1. So, 1 - 0.03 = 0.97. This is the annual rate of decrease.

3. We then raise this rate to the power of the number of years, which is 14 in this case. So, (0.97)^14 = 0.688.

4. Finally, we multiply the initial area of the forest by this rate. So, 3600 km^2 * 0.688 = 2476.8 km^2.

5. Rounding to the nearest square kilometer, the area of the forest will be approximately 2477 km^2 after 14 years.