Find the capitalized cost C of an asset forever. The capitalized cost is given by $C = C _ { 0 } + \int _ { 0 } ^ { n } c ( t ) e ^ { - r t } d t$ where $C _ { 0 } = \$ 500,000$ is the original investment, t is the time in years, r = 12% is the annual interest rate compounded continuously, n is the total time in years over which the asset is capitalized, and $c ( t ) = 25,000 ( 1 + 0.08 t )$ is the annual cost of maintenance (measured in dollars). Round your answer to two decimal places.
A)$1,125,000.00
B)$875,000.00
C)$708,333.33
D)$899,218.75
E)$847,222.22

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The Answer of Find the capitalized cost C of an asset forever. The capitalized cost is given by $C = C _ { 0 } + \int _ { 0 } ^ { n } c ( t ) e ^ { - r t } d t$ where $C _ { 0 } = \$ 500,000$ is the original investment, t is the time in years, r = 12% is the annual interest rate compounded continuously, n is the total time in years over which the asset is capitalized, and $c ( t ) = 25,000 ( 1 + 0.08 t )$ is the annual cost of maintenance (measured in dollars). Round your answer to two decimal places.
A)$1,125,000.00
B)$875,000.00
C)$708,333.33
D)$899,218.75
E)$847,222.22

Find the Capitalized Cost C of an Asset Forever C=C0+∫0nc(t)e−rtdtC = C _ { 0 } + \int _ { 0 } ^ { n } c ( t ) e ^ { - r t } d tC=C0​+∫0n​c(t)e−rtdt

Find the Capitalized Cost C of an Asset Forever $C = C _ { 0 } + \int _ { 0 } ^ { n } c ( t ) e ^ { - r t } d t$