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After years of overhunting, environmental scientists have reintroduced beavers into Yellowstone National Park. The initial number of beavers reintroduced to the park was 3,100; after 12 years, the population is estimated to be around 9,750. Assuming an exponential growth pattern, what is the annual growth rate (rounded to the nearest tenth of a percent) of the new beaver population in Yellowstone National Park?

 

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, and t is time.

A.)0.10%

B.) 1.0%

C.) 2.6%

D.) 10.0%

 Feb 23, 2016
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A(t) = A0(1 + r)^t, when you solve for r, you get 10%.

So, the answer is D.).

 Feb 23, 2016

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