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A franchise models the profit from its store as a continuous income stream with a monthly rate of flow at time t given by f

A franchise models the profit from its store as a continuous income stream with a monthly rate of flow at time t given by

f(t) = 4000e0.002t (dollars per month).

When a new store opens, its manager is judged against the model, with special emphasis on the second half of the first year. Find the total profit for the second 6-month period

(t = 6

to

t = 12).

(Round your answer to the nearest dollar.)

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