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This exercise requires calculating the depreciation expense using the double-declining-balance method, applied partially for the first year since the purchase was made on April 1.

Here's the process to solve it:

### Given Information
- **Cost of the asset**: $290,000
- **Salvage value**: $45,000
- **Useful life**: 5 years
- **Depreciation method**: Double-declining-balance (DDB)
- **Partial year depreciation**: April 1 to December 31, which is 9 months or 9/12 of a year.

### Steps

1. **Calculate the straight-line depreciation rate**:
   \[
   \text{Straight-line rate} = \frac{100\%}{5} = 20\%
   \]

2. **Double the straight-line rate**:
   \[
   \text{Double-declining rate} = 20\% \times 2 = 40\%
   \]

3. **Year 1 Partial Depreciation Calculation**:
   - Start of Year Book Value = $290,000
   - Depreciation Expense = Beginning Book Value × DDB Rate × Partial Year Factor
   - Calculation:
     \[
     \text{Depreciation Expense (Year 1)} = 290,000 \times 40\% \times \frac{9}{12} = 116,000
     \]
   - **End of Year Book Value for Year 1**:
     \[
     \text{End Book Value} = 290,000 - 116,000 = 174,000
     \]

4. **Update Table for Year 1** (already filled in):
   - Beginning Book Value: $290,000
   - Depreciation Expense: $116,000
   - Accumulated Depreciation: $116,000
   - Book Value at end of Year 1: $174,000

### Year 2 Calculation (if needed)
If you would like, I can also calculate Year 2 using this double-declining balance method. Let me know if you'd like to continue.

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Would you like more detailed explanations or calculations? Here are some related questions to explore:

1. How would the depreciation expense differ using a straight-line method?
2. What would be the impact of using a different salvage value?
3. How does double-declining-balance depreciation compare with other methods in terms of expense allocation?
4. How does the partial-year factor affect the depreciation calculation?
5. How would changes in the asset's useful life affect depreciation expense?

**Tip**: Double-declining-balance depreciation accelerates expense recognition, reducing book value faster in the early years compared to other methods.

Compute depreciation expense at December 31 for both the first year and second year assuming the company uses the double-declining-balance method.

Learn how to calculate depreciation using the double-declining-balance method for a machine purchased by Cyclone Company on April 1 for $290,000, with a 5-year useful life and a $45,000 salvage value. The exercise includes partial year calculations for the first year and full calculations for the second year.

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