Ramirez Company installs a computerized manufacturing machine in its factory at the beginning of the year at a cost of $84,600. The machine's useful life is estimated at 20 years, or 393,000 units of product, with a $6,000 salvage value. During its second year, the machine produces 33,300 units of product. Determine the machine's second-year depreciation using the double-declining-balance method. Double-declining-balance Depreciation Annual Depreciation Expense = Depreciation expense Choose Factors: Choose Factor(%) First year's depreciation Second year's depreciation %3!
Ramirez Company installs a computerized manufacturing machine in its factory at the beginning of the year at a cost of $84,600. The machine's useful life is estimated at 20 years, or 393,000 units of product, with a $6,000 salvage value. During its second year, the machine produces 33,300 units of product. Determine the machine's second-year depreciation using the double-declining-balance method. Double-declining-balance Depreciation Annual Depreciation Expense = Depreciation expense Choose Factors: Choose Factor(%) First year's depreciation Second year's depreciation %3!
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![### Depreciation Calculation Using Double-Declining-Balance Method
**Context:**
Ramirez Company installs a computerized manufacturing machine in its factory at the beginning of the year at a cost of $84,600. The machine's useful life is estimated at 20 years, or 393,000 units of product, with a $6,000 salvage value. During its second year, the machine produces 33,300 units of product.
**Objective:**
Determine the machine’s second-year depreciation using the double-declining-balance method.
**Steps for Calculation:**
1. **Calculate the Depreciation Rate:**
The double-declining-balance method applies depreciation at double the straight-line rate.
- Straight-line rate = 1 / Useful life
- Double-declining-balance rate = 2 x Straight-line rate
2. **Determine First Year’s Depreciation:**
- Apply the double-declining-balance rate on the initial cost (not reducing for salvage value).
3. **Determine Second Year’s Depreciation:**
- Subtract the first year’s depreciation from the original cost to get the book value at the beginning of the second year.
- Apply the double-declining-balance rate to this book value for the second year’s depreciation.
**Table Explanation:**
| Double-declining-balance Depreciation | | | Annual Depreciation Expense |
|---------------------------------------|-----------------------------|----------------------|----------------------------|
| **Choose Factors:** | **x** | **Choose Factor(%):**| |
| First year's depreciation | | Depreciation expense | |
| Second year's depreciation | | | |
- The table provides a structured way to fill in and calculate the necessary factors and annual depreciation expenses.
- In each row, the given book value and calculated rate are multiplied to derive the depreciation expense for that specific year.
### Example:
1. **Straight-line rate calculation:**
Since the machine has a useful life of 20 years:
\[
\text{Straight-line rate} = \frac{1}{20} = 0.05 \text{ or } 5\%
\]
Therefore, the double-declining-balance rate:
\[
2 \times 5\% = 10\%
\]
2. **First Year Depreci](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc87ddbd0-2e96-4ff2-b892-078e8a47d877%2Fd30d7c0e-3023-4262-9101-9bd0868f3cde%2Fholk9k_processed.png&w=3840&q=75)
Transcribed Image Text:### Depreciation Calculation Using Double-Declining-Balance Method
**Context:**
Ramirez Company installs a computerized manufacturing machine in its factory at the beginning of the year at a cost of $84,600. The machine's useful life is estimated at 20 years, or 393,000 units of product, with a $6,000 salvage value. During its second year, the machine produces 33,300 units of product.
**Objective:**
Determine the machine’s second-year depreciation using the double-declining-balance method.
**Steps for Calculation:**
1. **Calculate the Depreciation Rate:**
The double-declining-balance method applies depreciation at double the straight-line rate.
- Straight-line rate = 1 / Useful life
- Double-declining-balance rate = 2 x Straight-line rate
2. **Determine First Year’s Depreciation:**
- Apply the double-declining-balance rate on the initial cost (not reducing for salvage value).
3. **Determine Second Year’s Depreciation:**
- Subtract the first year’s depreciation from the original cost to get the book value at the beginning of the second year.
- Apply the double-declining-balance rate to this book value for the second year’s depreciation.
**Table Explanation:**
| Double-declining-balance Depreciation | | | Annual Depreciation Expense |
|---------------------------------------|-----------------------------|----------------------|----------------------------|
| **Choose Factors:** | **x** | **Choose Factor(%):**| |
| First year's depreciation | | Depreciation expense | |
| Second year's depreciation | | | |
- The table provides a structured way to fill in and calculate the necessary factors and annual depreciation expenses.
- In each row, the given book value and calculated rate are multiplied to derive the depreciation expense for that specific year.
### Example:
1. **Straight-line rate calculation:**
Since the machine has a useful life of 20 years:
\[
\text{Straight-line rate} = \frac{1}{20} = 0.05 \text{ or } 5\%
\]
Therefore, the double-declining-balance rate:
\[
2 \times 5\% = 10\%
\]
2. **First Year Depreci
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