Roxy knows that she can deduct the depreciation expense of her ice cream delivery truck from her taxes over the truck’s useful life of 7 years. She can depreciate $2,100 per year. If she paid $19,000 to buy the truck, what is its salvage value?
To determine the salvage value of Roxy's ice cream delivery truck, we can use the formula for straight-line depreciation. The formula for straight-line depreciation is:
\[
\text{Depreciation Expense} = \frac{\text{Cost of the Asset} - \text{Salvage Value}}{\text{Useful Life}}
\]
Given that:
- The depreciation expense per year is \(2,100\)
- The cost of the truck is \(19,000\)
- The useful life is \(7\) years
We can set up the equation:
\[
2,100 = \frac{19,000 - \text{Salvage Value}}{7}
\]
To solve for the salvage value, we first multiply both sides by \(7\):
\[
2,100 \times 7 = 19,000 - \text{Salvage Value}
\]
This gives us:
\[
14,700 = 19,000 - \text{Salvage Value}
\]
Now, we can isolate the salvage value:
\[
\text{Salvage Value} = 19,000 - 14,700
\]
Calculating that gives:
\[
\text{Salvage Value} = 4,300
\]
Therefore, the salvage value of Roxy's ice cream delivery truck is **$4,300**.