Textbook Problem

Capitalized Cost In Exercises 39-42, the capitalized cost C of an asset is given by where $C_0$ is the original investment, t is the time in years, r is the annual interest rate (in

$C=C_o{\displaystyle {\int }_o^{n}c(t)e^{-rt}}dt$ decimal form) compounded continuously, and c(t) is the annual cost of maintenance (in dollars). Find the capitalized cost of an asset (a) for 5 years, (b) for 10 years, and (c) forever.

$C_o=\$300,000,c(t)=15,000t,r=6\%$