Final Answer:
For the year ended December 31, 2024, the Snack Stop should record a depreciation expense of $12,500 for the building ([$250,000 20 years] x 2) and $24,000 for the equipment ([$250,000 - $10,000] 10 years). Additionally, amortization expense for the patent is $2,000.
Step-by-step explanation:
In the third year (2024), the Snack Stop needs to calculate depreciation for both the building and equipment. For the building, which has a 20-year service life and no residual value, the double declining balance method is applied. The formula for double declining balance depreciation is:
[ ext{Depreciation Expense} = left(frac{2}{text{Useful Life}}right) times text{Book Value at Beginning of Year} ]
Substituting the values, we get:
[ text{Depreciation Expense for Building} = left(frac{2}{20}right) times \text{Book Value of Building at Jan 1, 2024} \]
[ = left(rac{2}{20}right) times $250,000 = $12,500 ]
For the equipment, which has a 10-year useful life and a $10,000 residual value, the straight-line method is used. The formula for straight-line depreciation is:
[ text{Depreciation Expense} = frac{text{Cost - Residual Value}}{text{Useful Life}} ]
Substituting the values, we get:
[ text{Depreciation Expense for Equipment} = frac{$250,000 - $10,000}{10} = $24,000 ]
Additionally, the patent is amortized over its useful life. The amortization expense is simply the cost of the patent divided by its useful life:
[ text{Amortization Expense for Patent} = frac{$20,000}{10} = $2,000 ]
Finally, to find the book value at December 31, 2024, subtract the accumulated depreciation or amortization from the initial cost. For land, as it does not depreciate, its book value remains unchanged.