Suppose a continuous income stream has an annual rate of flow f(t) = 85e -0.01t , in

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Suppose a continuous income stream has an annual rate of flow f(t) = 85e-0.01t, in thousands of dollars per year, and the current interest rate is 7% compounded continuously.

(a) Find the total income over the next 12 years.

(b) Find the present value over the next 12 years.

(c) Find the capital value of the stream.

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