Math Problem Statement
A machine costs $227,000 and its depreciable life is 8 years. If a firm that pays a marginal tax rate of 24% plans to depreciate the machine straight-line over its useful life down to a salvage value of $30,000, what is each year's depreciation expense? Round your answer to the nearest dollar, and enter a positive value.
Solution
Solution:
The straight-line depreciation formula is:
Given:
- Cost of the machine () = $227,000
- Salvage value () = $30,000
- Useful life () = 8 years
Calculation:
Final Answer:
Each year's depreciation expense is $24,625.
Do you have any questions or want further explanation?
Here are 5 follow-up questions you might consider:
- How does straight-line depreciation compare to other methods like declining balance?
- How would the depreciation expense change if the salvage value were higher or lower?
- What is the impact of depreciation on the company's taxable income?
- How does the tax rate affect the after-tax savings from depreciation?
- What if the machine's useful life was estimated incorrectly? How would that change the calculation?
Tip: Always confirm asset salvage values and useful lives periodically, as changes may require adjusting depreciation schedules.
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Math Problem Analysis
Mathematical Concepts
Depreciation
Straight-Line Depreciation
Basic Arithmetic
Formulas
Depreciation Expense per Year = (Cost of Asset - Salvage Value) / Useful Life
Theorems
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Suitable Grade Level
Grades 10-12
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