Depreciation of Equipment For assets such as machines, whose market values drop rapidly in the early years 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-balance formula is V(n) = C(1-2)^ where C is the initial value of the asset 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 $30,000 is to be depreciated by the double declining-balance method over 10 years. (a) What is the book value (in dollars) 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?

College Algebra
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Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
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Depreciation of Equipment For assets such as machines, whose market values drop rapidly in the early years 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-balance
formula is
V(n) = C(1-2)^
where C is the initial value of the asset 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 $30,000 is to be depreciated by the double declining-balance method over 10 years.
(a) What is the book value (in dollars) 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?
Transcribed Image Text:Depreciation of Equipment For assets such as machines, whose market values drop rapidly in the early years 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-balance formula is V(n) = C(1-2)^ where C is the initial value of the asset 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 $30,000 is to be depreciated by the double declining-balance method over 10 years. (a) What is the book value (in dollars) 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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