Math Problem Statement
A computer system was purchased on 1st July for 5000 the depreciation rate is 12.5% p.a. using the straight line method there is no residual value
Solution
In this scenario, you are dealing with depreciation of a computer system using the straight-line method, with the following information:
- Initial value of the asset (computer system) = $5000
- Depreciation rate per annum = 12.5%
- Residual value = $0 (since there is no residual value)
Formula for Straight-Line Depreciation:
But in this case, we can also directly use the depreciation rate:
- Annual Depreciation:
So, the system depreciates by $625 per year.
Value of the Computer System after a given period:
The value at any point in time can be calculated by subtracting the accumulated depreciation from the initial value:
Where is the number of years.
If you'd like to calculate the value after a specific number of years or any further details, let me know!
Would you like me to expand on anything or continue with a specific period? Here are some related questions:
- How much is the value of the computer after 3 years?
- What is the accumulated depreciation after 5 years?
- How would the calculation change with a residual value?
- What is the total depreciation after 10 years?
- How does the straight-line method compare with other depreciation methods?
Tip: Straight-line depreciation is simple but does not account for varying usage over time, unlike declining balance methods.
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Math Problem Analysis
Mathematical Concepts
Depreciation
Straight-Line Method
Percentage Calculations
Formulas
Annual Depreciation = Initial Value × Depreciation Rate
Value after n years = Initial Value - (n × Annual Depreciation)
Theorems
Straight-Line Depreciation Method
Suitable Grade Level
Grades 9-12
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