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.

# Given data
initial_area = 2000  # km^2
decrease_rate = 3.75 / 100  # converting percentage to decimal
years = 12

# Calculate the area after 12 years using exponential decay formula
# final_area = initial_area * (1 - decrease_rate) ** years
final_area = initial_area * (1 - decrease_rate) ** years

# Round to the nearest square kilometer
final_area_rounded = round(final_area)

final_area_roundedAfter 12 years, the area of the forest will be approximately 1,264 square kilometers.

Would you like more details or have any further questions?

Here are some related questions to expand your understanding:
1. How would the area change if the decrease rate was 5% instead of 3.75%?
2. How can you calculate the total percentage decrease after 12 years?
3. What would happen to the forest area if the decrease rate slowed by 1% after every 4 years?
4. How can exponential decay be applied to population growth or other real-world phenomena?
5. How long will it take for the forest to reduce to half its original size at the same decay rate?

**Tip:** Exponential decay often appears in real-life scenarios like population decline, radioactive decay, or even interest rates.

Explore how to calculate the forest area after 12 years using exponential decay. Given an initial area of 2000 square kilometers decreasing annually by 3.75%, learn the step-by-step solution and understand the impact of exponential decay in real-world scenarios.

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