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Mathematics, 18.11.2019 18:31 mdoswalt

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 isv(n)=c(1-(2/n)^nwhere 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) find v '(n). hint: use logarithmic differentiation.(b) what is the relative rate of change of v(n)?

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