In 2015, a population of elk was down to 3,542 animals after 5 years of exponential decrease. Part A: Use the exponential decay formula to find the initial population of elk if the population decreased at a rate of 8.4%. Part B: Write the equation that models the population of elk over time. Part C: How long will it take for the population to decrease from the initial population to 3,000 animals if the percentage decrease stays the same? Round the answer to the nearest tenth of a year.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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In 2015, a population of elk was down to 3,542 animals after 5 years of exponential decrease. Part A: Use the exponential decay formula to find the initial population of elk if the population decreased at a rate of 8.4%. Part B: Write the equation that models the population of elk over time. Part C: How long will it take for the population to decrease from the initial population to 3,000 animals if the percentage decrease stays the same? Round the answer to the nearest tenth of a year.
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