Proble value.For tax purposes depreciation is calculated linearly. So V (current

Question

Proble value.For tax purposes depreciation is calculated linearly. So V (current value) is equal to the P (original price)- n (years) times x (depreciation value). V P...f the truck is worth $24,500 after three years, find the depreciation value constant x. Now use that to write a formula write a general formula for the value (V) after n years. Your equation will only have n and V as variables. Using that formula find the value of this truck after 10 years. Find the age of the truck when the value is $0. m 2 A new truck costs $32000. The truck's value depreciates over time,which means it loses Turn in the following value of X (depreciation constant) " general formula with V and n as variables - value of truck after 10 years . age of the truck when its value is zero Turn in typed by an attachment by the due date in the class schedule.

Explanation / Answer

Let x be the depreciation in the value of the truck, per year. Then the depreciation after 3 years is 3x, so that 3x = $ 32000- $ 24500 = $ 7500. Then x = $ 7500/3 = $ 2500.

Let P be the purchase value of the truck. The depreciation after n years is nx so that the value (V) of the truck after n years is given by V = P-nx.

When n= 10, we have V = $ 32000-10*2500 = $ 32000-$ 25000 = $ 7000. Thus, the value of the truck after 10 years is $ 7000.

Let the value of the truck be 0 after n years. Then 0 = 32000-n*2500 or, 2500n = 32000 so that n = 32000/2500 = 12.8. Thus, the value of the truck will be 0 after 12.8 years.

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