Math Problem Statement

Complete using the declining-balance method of depreciation. Round to the nearest hundredth of a percent when necessary.

Solution

To complete this table using the declining-balance method of depreciation, we need to calculate the straight-line rate for a useful life of 2 years.

The straight-line depreciation rate formula is:

Straight-Line Rate=100%Useful Life (Years)\text{Straight-Line Rate} = \frac{100\%}{\text{Useful Life (Years)}}

For a useful life of 2 years:

Straight-Line Rate=100%2=50%\text{Straight-Line Rate} = \frac{100\%}{2} = 50\%

Now, applying this to the table:

  • Straight-Line Rate (%): 50%
  • Multiple (%): Given as 200%, which is correct.
  • Declining-Balance Rate (%): Calculated as 50%×2=100%50\% \times 2 = 100\%, which is also correctly filled in.

Would you like more details on the declining-balance method, or do you have any other questions?

Here are 5 questions that build upon this topic:

  1. How would the declining-balance rate change if the useful life were 5 years instead?
  2. What is the impact of using a higher multiple on the depreciation schedule?
  3. How does the declining-balance method compare to the straight-line method in terms of expense timing?
  4. Can you explain why companies might choose the declining-balance method over other depreciation methods?
  5. How would the straight-line rate calculation differ if partial-year depreciation were considered?

Tip: The declining-balance method results in higher depreciation expenses in the earlier years of an asset's life, which can be beneficial for matching expenses with revenues generated in those early periods.

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Math Problem Analysis

Mathematical Concepts

Depreciation
Declining-Balance Method
Straight-Line Method

Formulas

Straight-Line Rate = 100% / Useful Life (Years)
Declining-Balance Rate = Straight-Line Rate × Multiple

Theorems

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Suitable Grade Level

College Level