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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 value after it has been used for t years. The value v (t) depriciates at a rate given by the differentail equation `(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

`T^(2)-I/K`

B

`I-(kT^2)/2`

C

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

D

`e^(-kt)`

Text Solution

Verified by Experts

The correct Answer is:
B
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