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Answer :
Final answer:
The area of the forest will be approximately 2100 km^2 after 14 years, computed using the exponential decay formula.
Explanation:
The given problem is a classic example of a decrementing percentage over time. Since the area of the forest is decreasing by 4% annually, we can treat this is as an exponential decay problem. We use the exponential decay formula, A = P(1 - r)^n, where A is the final amount (the area of the forest after 14 years), P is the principal amount (the initial area of the forest), r is the rate of decrease per period (4% per year, expressed as 0.04), and n is the number of periods (14 years).
By substituting the given values into the formula, we calculate A = 3700 * (1 - 0.04)^14. After performing the calculation, the resulting area of the forest after 14 years is approximately 2100 km^2.
Learn more about Exponential Decay here:
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