For assets such as machines, whose market values drop rapidly in the early years of of usage, businesses often use the double declining-balance method. In practice, a business firm normally employs the double declining- balance method for depreciating such assets for a certain number of years and then switches over to the linear method. The double-declining formula isV(n) = C(1-(2/n))^nwhere C is the initial value of the assest in dollars, V(n) denotes the book value of the assets at the end of n years, and N is the number of years over which the asset is depreciatedA tractor purchased at a cost of $40,000is to depreciated by the double declining balance method over 10 years .(a) What is the book value of the tractor at the end of 3 years?(b) What is the relative rate of change of the book value of the tractor at the end of 3 years?

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Asked Nov 12, 2019
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For assets such as machines, whose market values drop rapidly in the early years of of usage, businesses often use the double declining-balance method. In practice, a business firm normally employs the double declining- balance method for depreciating such assets for a certain number of years and then switches over to the linear method. The double-declining formula is

V(n) = C(1-(2/n))^n

where C is the initial value of the assest in dollars, V(n) denotes the book value of the assets at the end of n years, and N is the number of years over which the asset is depreciated

A tractor purchased at a cost of $40,000is to depreciated by the double declining balance method over 10 years .

(a) What is the book value of the tractor at the end of 3 years?

(b) What is the relative rate of change of the book value of the tractor at the end of 3 years?

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Expert Answer

Step 1

Given:

For assets such as machines, whose market values drop rapidly in the early years of of usage, businesses often use the double declining-balance method. In practice, a business firm normally employs the double declining- balance method for depreciating such assets for a certain number of years and then switches over to the linear method. The double-declining formula is

2
V()-c1-
(u)A
N
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2 V()-c1- (u)A N

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Step 2

Where C is the initial value of the assets in dollars, V(n) denotes the book value of the assets at the end of n years, and N is the number of years over which the asset is depreciated.

A tractor purchased at a cost of $40,000is to depreciated by the double declining balance method over 10 years.

 

Step 3

Calculating the value of the book value of the...

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Calculus