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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.
Identify the solution(s) of the system of equations
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The initial contact person calls three other people, each of whome call three others and so on, until all the people in the band Committee have been contacted. What is the maximum number of people they need to make the calls.
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