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The capitalized cost is given by the following function, where C 0 is the original investment, t is the time in years, r is the

The capitalized cost is given by the following function, where C0 is the original investment, t is the time in years, r is the annual interest rate compounded continuously, and c(t) is the annual cost of maintenance.

C = C0 +

n c(t)ert dt
0

Find the capitalized cost C of an asset considering the following information. (Round your answers to the nearest cent.)

C0 = $600,000

c(t) = $35,000

r = 0.04

(a) Find the capitalized cost C of an asset for n = 5 years. $

(b) Find the capitalized cost C of an asset for n = 10 years. $

(c) Find the capitalized cost C of an asset for "forever". $

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