Question
Marlin Davies buys a truck for $28,000. In three years, the truck depreciates 48% in value. How much is the truck worth in three years?
Question 11 options:
A)
$14,560
B)
$27,052
C)
$12,005
D)
$14,000
Question 11 options:
A)
$14,560
B)
$27,052
C)
$12,005
D)
$14,000
Answers
GPT-4o mini
To find the value of the truck after three years, we first need to calculate how much value it has lost due to depreciation.
1. **Determine the depreciation amount**:
The truck depreciates 48% of its original value.
\[
\text{Depreciation Amount} = \text{Original Price} \times \text{Depreciation Rate}
\]
\[
\text{Depreciation Amount} = 28000 \times 0.48 = 13440
\]
2. **Calculate the value after depreciation**:
To find the truck's worth after three years, subtract the depreciation amount from the original price.
\[
\text{Value After Depreciation} = \text{Original Price} - \text{Depreciation Amount}
\]
\[
\text{Value After Depreciation} = 28000 - 13440 = 14560
\]
So, the truck is worth **$14,560** in three years.
The correct answer is:
**A) $14,560**
1. **Determine the depreciation amount**:
The truck depreciates 48% of its original value.
\[
\text{Depreciation Amount} = \text{Original Price} \times \text{Depreciation Rate}
\]
\[
\text{Depreciation Amount} = 28000 \times 0.48 = 13440
\]
2. **Calculate the value after depreciation**:
To find the truck's worth after three years, subtract the depreciation amount from the original price.
\[
\text{Value After Depreciation} = \text{Original Price} - \text{Depreciation Amount}
\]
\[
\text{Value After Depreciation} = 28000 - 13440 = 14560
\]
So, the truck is worth **$14,560** in three years.
The correct answer is:
**A) $14,560**