Math Problem Statement
Solve
Solution
Let's solve the problem step by step based on the straight-line depreciation method described.
Straight-Line Depreciation Formula:
Data Provided:
- Cost of the machine = $86,200
- Salvage value = $7,000
- Useful life = 10 years
Step 1: Compute the Annual Depreciation Expense
Thus, the annual depreciation expense is $7,920.
Step 2: Determine Year 2 Depreciation
Under the straight-line method, depreciation is the same each year. Hence, Year 2 Depreciation = $7,920.
Step 3: Compute Year-End Book Value for Year 2
The book value at the end of Year 2 is calculated as:
Summary of Results:
- Year 2 Depreciation = $7,920
- Year-End Book Value (Year 2) = $70,360
Would you like a detailed breakdown of this computation or have further questions?
Relative Questions:
- What happens if the salvage value changes over the machine's lifetime?
- How does the straight-line depreciation differ from units-of-production depreciation?
- Can salvage value ever be zero, and what would that imply for depreciation calculations?
- Why do we assume equal depreciation every year in the straight-line method?
- How would the calculation change if the machine had a different useful life?
Tip:
When using straight-line depreciation, always verify that the total accumulated depreciation equals the original cost minus salvage value over the asset's lifetime.
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Math Problem Analysis
Mathematical Concepts
Straight-Line Depreciation
Depreciation Calculation
Book Value Computation
Formulas
Annual Depreciation Expense = (Cost of Asset - Salvage Value) / Useful Life
Year-End Book Value = Cost of Machine - (Depreciation Expense × Years of Depreciation)
Theorems
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Suitable Grade Level
College or advanced high school accounting courses
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