Final answer:
The charge for depreciation of the equipment for the year ended December 31, 2015, would be $0.
Step-by-step explanation:
To calculate the depreciation expense using the sum-of-the-years'-digits method, you need to follow these steps:
- Calculate the sum-of-the-years'-digits (SYD) by adding up the digits from 1 to the useful life of the equipment. In this case, the useful life is 8 years, so the SYD would be 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 = 36.
- Calculate the depreciation expense for each year by multiplying the depreciable cost (cost - salvage value) by the fraction of the remaining useful life over the SYD. For the year 2015, the remaining useful life is 8 - 8 = 0, so the depreciation expense would be 0.
Therefore, the charge for depreciation of this equipment for the year ended December 31, 2015, would be $0.