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After years of overhunting, environmental scientists have reintroduced beavers to Yellowstone National Park. The initial number of beavers reintroduced to the park was 80 and, after 9 years, the population is estimated to be around 330.
Part A: Assuming an exponential growth pattern, use the information given to write the model for this situation.
Hint: A(t) = A0(1 + r)t, where A(t) is the final amount, A0 is the initial amount, r is the growth rate expressed as a decimal amount, and t is time.
Part B: Use the formula from part A to determine the annual growth rate (rounded to the nearest tenth of a percent) of the new beaver population in Yellowstone National Park. Show your work.
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