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[" 15.Let l be the purchase value of an ...

[" 15.Let l 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 "(dV(tt))/(dt)=-k(T-t)," where "k>0" is a constant and "T" is total life in years of the equipment Then the scrap value "V(t)" of the "],[" foulioment is "]

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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(t))/(dt)=-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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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(t)/(dt)=-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 : (1) I-(k T^2)/2 (2) I-(k(T-t)^2)/2 (3) e^(-k T) (4) T^2-1/k