Final answer:
Recording the December 31 adjusting entry, the partial-year depreciation expense for the carpet will be $522.
Step-by-step explanation:
To record the December 31 adjusting entry for partial-year depreciation expense for the carpet using the straight-line method, you need to calculate the annual depreciation expense first.
The formula to calculate straight-line depreciation is: (Cost - Residual Value) / Useful Life.
In this case, since the carpet has a 15-year useful life and no residual value, the annual depreciation expense would be $10,440 / 15 = $696.
Next, to calculate the partial-year depreciation, divide the annual depreciation expense by 12 (number of months in a year) and multiply it by the number of months the carpet was used (9 months).
So, the partial-year depreciation expense would be ($696 / 12) * 9 = $522.