Final answer:
Depreciation for the first year is calculated using the straight-line, units-of-production, and double-declining-balance methods, with journal entries to reflect the varying expense amounts for each approach: $15,000, $9,000, and $36,000 respectively.
Step-by-step explanation:
To record the depreciation of equipment using different methods, we start by calculating the expense for each method.
Annual depreciation = (Cost - Salvage value) / Useful life
= ($72,000 - $12,000) / 4 years
= $15,000 per year
Journal Entry: Debit Depreciation Expense $15,000; Credit Accumulated Depreciation $15,000.
Depreciation per unit = (Cost - Salvage value) / Total units of production
= ($72,000 - $12,000) / 5,000 units
= $12 per unit
Depreciation for the year = Depreciation per unit * Units produced in the year
= $12 * 750
= $9,000
Journal Entry: Debit Depreciation Expense $9,000; Credit Accumulated Depreciation $9,000.
Depreciation rate = (100% / Useful life) * 2
= (100% / 4) * 2
= 50% per year
First-year depreciation = Depreciation rate * Book value at beginning of year
= 50% * $72,000
= $36,000
Journal Entry: Debit Depreciation Expense $36,000; Credit Accumulated Depreciation $36,000.
Note: For the double-declining balance method, only record the first year as subsequent years would use a different book value that considers previously accumulated depreciation.