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:

Annual Depreciation=Initial ValueResidual ValueUseful Life of the Asset\text{Annual Depreciation} = \frac{\text{Initial Value} - \text{Residual Value}}{\text{Useful Life of the Asset}}

But in this case, we can also directly use the depreciation rate: Annual Depreciation=Initial Value×Depreciation Rate\text{Annual Depreciation} = \text{Initial Value} \times \text{Depreciation Rate}

  1. Annual Depreciation:

Annual Depreciation=5000×0.125=625\text{Annual Depreciation} = 5000 \times 0.125 = 625

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:

Value after n years=Initial Valuen×Annual Depreciation\text{Value after n years} = \text{Initial Value} - n \times \text{Annual Depreciation}

Where nn 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:

  1. How much is the value of the computer after 3 years?
  2. What is the accumulated depreciation after 5 years?
  3. How would the calculation change with a residual value?
  4. What is the total depreciation after 10 years?
  5. 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