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Let I be the purchase value of an equipm...

Let I be the purchase value of an equipment and V(t) be the vlalue after it has been used for t years. The value V(t) depricates at a rate give nby differential equaton `(dV(t))/(dt)=-k(T-t)`, where `k gt 0` is a constant and T is the total life in years of the equipment. Then the scrap value V(T) of the equipment is:

A

`e^(-kT)`

B

`T^2-I/k`

C

`I-(kT^2)/2`

D

`I-(K(T-t)^2)/2`

Text Solution

Verified by Experts

The correct Answer is:
C
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