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A piece of equipment costing $15,000 is depreciated using the double declining b

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Question: A piece of equipment costing $15,000 is depreciated using the double declining balance method. What is the depreciation expense for the first year?

Options:

  1. $3,750
  2. $4,500
  3. $5,000
  4. $6,000

Correct Answer: $4,500

Solution:

Depreciation Expense = Book Value at Beginning of Year x (2 / Useful Life) = $15,000 x (2 / 5) = $6,000.

A piece of equipment costing $15,000 is depreciated using the double declining b

Practice Questions

Q1
A piece of equipment costing $15,000 is depreciated using the double declining balance method. What is the depreciation expense for the first year?
  1. $3,750
  2. $4,500
  3. $5,000
  4. $6,000

Questions & Step-by-Step Solutions

A piece of equipment costing $15,000 is depreciated using the double declining balance method. What is the depreciation expense for the first year?
  • Step 1: Identify the cost of the equipment. In this case, it is $15,000.
  • Step 2: Determine the useful life of the equipment. Here, it is given as 5 years.
  • Step 3: Calculate the depreciation rate using the double declining balance method. The formula is (2 / Useful Life). So, (2 / 5) = 0.4 or 40%.
  • Step 4: Calculate the depreciation expense for the first year. Use the formula: Depreciation Expense = Book Value at Beginning of Year x Depreciation Rate. Here, it is $15,000 x 0.4 = $6,000.
  • Double Declining Balance Method – A method of accelerated depreciation that calculates depreciation based on a fixed percentage of the book value of the asset at the beginning of each year.
  • Depreciation Expense Calculation – The process of determining the amount of depreciation to be recorded for an asset in a given period.
  • Useful Life – The estimated duration over which an asset is expected to be used, which affects the depreciation calculation.
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