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) depreciates at a rate given by differential equation (dVdtt=−k(T−t), where k>0is a constant and T is the total life in years of the equipment. Then the scrap value V(T) of the equipment is :

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Let I be the purchase value of an equipment and V(t) be the va

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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) depreciates at a rate given by differential equation $(d V \frac{t}{d t} = - k (T - t)$ , where $k > 0$ is a constant and T is the total life in years of the equipment. Then the scrap value V(T) of the equipment is :

T^{2} - \frac{1}{k}

I - \frac{k T ^{2}}{2}

I - \frac{k ( T - t ) ^{2}}{2}

e^{- k T}

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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) depreciates at a rate given by differential equation

(d V \frac{t}{d t} = - k (T - t)

, where

k > 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 :

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Question Text	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) depreciates at a rate given by differential equation $(d V \frac{t}{d t} = - k (T - t)$ , where $k > 0$ is a constant and T is the total life in years of the equipment. Then the scrap value V(T) of the equipment is :
Answer Type	Video solution: 1
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