Using the MACRS rates from the following table, what is the book value of a $3,000 computer after 5 years? Year MACRS Rate 1 20.0 % 2 32.0 % 3 19.2% 4 11.52% 5 11.52 % book value = [?]

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Book value of a $3000 computer after 5 years 

**Using MACRS Rates to Determine the Book Value of a Computer**

### Question:
Using the MACRS (Modified Accelerated Cost Recovery System) rates from the following table, what is the book value of a $3,000 computer after 5 years?

### MACRS Depreciation Rates:
| Year | MACRS Rate |
|------|------------|
| 1    | 20.0%      |
| 2    | 32.0%      |
| 3    | 19.2%      |
| 4    | 11.52%     |
| 5    | 11.52%     |

### Calculation:
To calculate the book value, we subtract the accumulated depreciation from the initial purchase price of the computer. The depreciation for each year is calculated using the given MACRS rates.

**Year 1**:  
Depreciation = $3,000 * 20.0% = $600  
Remaining value = $3,000 - $600 = $2,400

**Year 2**:  
Depreciation = $3,000 * 32.0% = $960  
Remaining value = $2,400 - $960 = $1,440

**Year 3**:  
Depreciation = $3,000 * 19.2% = $576  
Remaining value = $1,440 - $576 = $864

**Year 4**:  
Depreciation = $3,000 * 11.52% = $345.60  
Remaining value = $864 - $345.60 = $518.40

**Year 5**:  
Depreciation = $3,000 * 11.52% = $345.60  
Remaining value = $518.40 - $345.60 = $172.80

    **Book Value** = $172.80 (rounded to the nearest hundredth)

### User Interaction:
Please enter this calculated book value into the field provided and round to the nearest hundredth if necessary.

---

This format ensures clarity and provides step-by-step guidance on how to solve the problem using the given MACRS rates.
Transcribed Image Text:**Using MACRS Rates to Determine the Book Value of a Computer** ### Question: Using the MACRS (Modified Accelerated Cost Recovery System) rates from the following table, what is the book value of a $3,000 computer after 5 years? ### MACRS Depreciation Rates: | Year | MACRS Rate | |------|------------| | 1 | 20.0% | | 2 | 32.0% | | 3 | 19.2% | | 4 | 11.52% | | 5 | 11.52% | ### Calculation: To calculate the book value, we subtract the accumulated depreciation from the initial purchase price of the computer. The depreciation for each year is calculated using the given MACRS rates. **Year 1**: Depreciation = $3,000 * 20.0% = $600 Remaining value = $3,000 - $600 = $2,400 **Year 2**: Depreciation = $3,000 * 32.0% = $960 Remaining value = $2,400 - $960 = $1,440 **Year 3**: Depreciation = $3,000 * 19.2% = $576 Remaining value = $1,440 - $576 = $864 **Year 4**: Depreciation = $3,000 * 11.52% = $345.60 Remaining value = $864 - $345.60 = $518.40 **Year 5**: Depreciation = $3,000 * 11.52% = $345.60 Remaining value = $518.40 - $345.60 = $172.80 **Book Value** = $172.80 (rounded to the nearest hundredth) ### User Interaction: Please enter this calculated book value into the field provided and round to the nearest hundredth if necessary. --- This format ensures clarity and provides step-by-step guidance on how to solve the problem using the given MACRS rates.
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