Declining Balance
1. Stating the problem: We need to find the accumulated depreciation for 3 years of a television set costing 3850 with a salvage value of 650, using the declining balance depreciation method and a useful life of 5 years.
2. Calculate the depreciation rate: The declining balance method uses a constant depreciation rate which is typically double the straight-line rate for double declining balance. The straight-line rate is $\frac{1}{5} = 0.2$ or 20%.
3. Double declining balance rate: $0.2 \times 2 = 0.4$ or 40% per year.
4. Calculate depreciation and book value year by year:
- Year 1 depreciation: $3850 \times 0.4 = 1540$
- Year 1 book value: $3850 - 1540 = 2310$
- Year 2 depreciation: $2310 \times 0.4 = 924$
- Year 2 book value: $2310 - 924 = 1386$
- Year 3 depreciation: $1386 \times 0.4 = 554.4$
- Year 3 book value: $1386 - 554.4 = 831.6$
5. Check for salvage value: The book value after 3 years is 831.6 which is above salvage value 650, so no adjustment is needed.
6. Calculate accumulated depreciation: Sum of yearly depreciation for 3 years is $1540 + 924 + 554.4 = 3018.4$
Final answer: The accumulated depreciation for 3 years using the declining balance method is **3018.4**.