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7 February, 09:34

A copy machine acquired with a cost of $1,410 has an estimated useful life of 4 years. It is also expected to have a useful operating life of 13,350 copies. Assuming that it will have a residual value of $75, determine the depreciation for the first year by the three methods listed below. If required, round your answers to two decimal places. a. Straight-line method $ b. Double-declining-balance method $ c. Units-of-output method (4,500 copies were made the first year) $

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  1. 7 February, 09:56
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    a. Straight-line method

    Depreciation Expense for the first year: $333.75

    b. Double-declining-balance method

    Depreciation Expense for the first year: $667.5

    c. Units-of-output method

    Depreciation Expense for the first year: $450

    Explanation:

    a. Straight-line method

    Depreciation Expense each year is calculated by following formula

    Annual Depreciation Expense = (Cost of machine - Residual Value) / Useful Life = ($1,410 - $75) / 4 = $333.75

    Depreciation Expense for the first year: $333.75

    b. Double-declining-balance method

    Under the straight-line method, useful life is 4 years, so the asset's annual depreciation will be 25% of the Depreciable cost.

    Depreciable cost = Total cost of machine - Residual value = $1,410-$75 = $1.335

    Under the double-declining-balance method the 25% straight line rate is doubled to 50% - multiplied times

    Depreciation Expense for the first year = $1.335 x 50% = $667.5

    c. Units-of-output method

    Depreciation Expense per copy = (Cost of machine - Residual Value) / Life in Number of Units = ($1,410 - $75) / 13,350 = $0.1

    Depreciation Expense for the first year = Depreciation Expense per copy x number of copies were made the first year = $0.1 x 4,500 = $450
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