Math Problem Statement

If a car is depreciated in 4years, what’s the rate of depreciation using twice the straight line rate?

Solution

To find the rate of depreciation using "twice the straight line rate" for a car that depreciates fully in 4 years, let's work through the steps:

Step 1: Determine the Straight-Line Depreciation Rate

  1. In the straight-line method, the depreciation rate is calculated by taking the reciprocal of the number of years over which the asset depreciates.
  2. Since the car depreciates in 4 years, the straight-line depreciation rate is: Straight-line rate=14=0.25 or 25% per year\text{Straight-line rate} = \frac{1}{4} = 0.25 \text{ or } 25\% \text{ per year}

Step 2: Calculate Twice the Straight-Line Rate

Since the problem specifies "twice the straight line rate," we double the 25% rate: Twice the straight-line rate=2×25%=50%\text{Twice the straight-line rate} = 2 \times 25\% = 50\%

Answer:

The rate of depreciation, using twice the straight-line rate, is 50% per year.

Would you like more details or have any questions?


Here are some related questions you may find helpful:

  1. What is the difference between straight-line depreciation and declining balance depreciation?
  2. How is the residual value of an asset accounted for in depreciation calculations?
  3. What is the impact of accelerated depreciation on a company’s financial statements?
  4. How do other depreciation methods (like sum-of-the-years-digits) differ from the double-declining balance method?
  5. How can one estimate the useful life of an asset for depreciation?

Tip: Depreciation methods impact tax and financial reporting differently; understanding them can optimize financial strategies.

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Math Problem Analysis

Mathematical Concepts

Depreciation
Straight-Line Depreciation
Double Declining Balance Method

Formulas

Straight-line rate = 1 / Useful Life
Double-declining rate = 2 * Straight-line rate

Theorems

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Suitable Grade Level

Grades 9-12