A truck is purchased for $22,500 and has a resale value of $16,500 after a useful life of 5 years. Using a book value depreciation chart, calculate the number of years until the book value of the truck is $17,700. B. 2 years A. 1 year C. 3 years D. 4 years

Principles of Accounting Volume 1
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Chapter11: Long-term Assets
Section: Chapter Questions
Problem 11PA: Montezuma Inc. purchases a delivery truck for $15,000. The truck has a salvage value of $3,000 and...
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**Depreciation Analysis of a Truck**

A truck is purchased for $22,500 and has a resale value of $16,500 after a useful life of 5 years. Using a book value depreciation chart, calculate the number of years until the book value of the truck is $17,700.

**Options:**
- A. 1 year
- B. 2 years
- C. 3 years
- D. 4 years

---

**Explanation:**

To solve this problem, you will need to understand the concept of depreciation and how to apply it to calculate the book value of an asset over time.

1. **Initial Purchase Price**: $22,500
2. **Resale Value after 5 Years**: $16,500

Depreciation is calculated using the following formula:
\[ \text{Depreciation per year} = \frac{\text{Initial Purchase Price} - \text{Resale Value after Useful Life}}{\text{Useful Life}} \]

Thus, the yearly depreciation amount can be calculated as:
\[ \text{Depreciation per year} = \frac{22,500 - 16,500}{5} = \frac{6,000}{5} = 1,200 \]

Using this information, we can determine the book value of the truck after each year.

- **After 1 Year**: 
\[ \text{Book Value} = 22,500 - 1,200 = 21,300 \]
  
- **After 2 Years**: 
\[ \text{Book Value} = 21,300 - 1,200 = 20,100 \]
  
- **After 3 Years**: 
\[ \text{Book Value} = 20,100 - 1,200 = 18,900 \]
  
- **After 4 Years**: 
\[ \text{Book Value} = 18,900 - 1,200 = 17,700 \]

From this calculation, you can see that the truck reaches a book value of $17,700 after 4 years.

**Answer:**
- D. 4 years

**Source:**
© 2022 International Academy of Science. All Rights Reserved.
Transcribed Image Text:**Depreciation Analysis of a Truck** A truck is purchased for $22,500 and has a resale value of $16,500 after a useful life of 5 years. Using a book value depreciation chart, calculate the number of years until the book value of the truck is $17,700. **Options:** - A. 1 year - B. 2 years - C. 3 years - D. 4 years --- **Explanation:** To solve this problem, you will need to understand the concept of depreciation and how to apply it to calculate the book value of an asset over time. 1. **Initial Purchase Price**: $22,500 2. **Resale Value after 5 Years**: $16,500 Depreciation is calculated using the following formula: \[ \text{Depreciation per year} = \frac{\text{Initial Purchase Price} - \text{Resale Value after Useful Life}}{\text{Useful Life}} \] Thus, the yearly depreciation amount can be calculated as: \[ \text{Depreciation per year} = \frac{22,500 - 16,500}{5} = \frac{6,000}{5} = 1,200 \] Using this information, we can determine the book value of the truck after each year. - **After 1 Year**: \[ \text{Book Value} = 22,500 - 1,200 = 21,300 \] - **After 2 Years**: \[ \text{Book Value} = 21,300 - 1,200 = 20,100 \] - **After 3 Years**: \[ \text{Book Value} = 20,100 - 1,200 = 18,900 \] - **After 4 Years**: \[ \text{Book Value} = 18,900 - 1,200 = 17,700 \] From this calculation, you can see that the truck reaches a book value of $17,700 after 4 years. **Answer:** - D. 4 years **Source:** © 2022 International Academy of Science. All Rights Reserved.
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