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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(t) = 3000e0.004t (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).

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