A certain forest covers an area of 2000km squared . Suppose that each year this area decreases by 3.75% . What will the area be after 12  years?

Use the calculator provided and round your answer to the nearest square kilometer.

# Initial values
initial_area = 2000  # square kilometers
annual_decrease_rate = 3.75 / 100  # convert percentage to decimal
years = 12

# Calculate the area after 12 years using exponential decay formula: A = P(1 - r)^t
final_area = initial_area * (1 - annual_decrease_rate) ** years

# Round to the nearest square kilometer
final_area_rounded = round(final_area)

final_area_roundedAfter 12 years, the forest area will be approximately 1,264 square kilometers.

Would you like more details on the calculation or have any further questions?

Here are five related questions to think about:
1. What would the area be after 20 years at the same rate of decrease?
2. How would the result change if the rate of decrease were 5% instead of 3.75%?
3. What would be the area after 12 years if the rate of decrease was halved?
4. How much total area would be lost after 12 years?
5. If the forest regeneration started after 12 years at a 2% annual increase, how long would it take to return to its original size?

**Tip:** When calculating compound changes, such as a decrease or increase over

Explore how to calculate the forest area after 12 years of 3.75% annual decrease. Understand the exponential decay formula and its application in real-world scenarios. Get a rounded answer to the nearest square kilometer.

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