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Leo's Lawncare purchased equipment on January 1. The cost was $15,000, and the equipment had a residual value of $5,000. The equipment was given a useful life of 10 years. After the end of two years, it was determined that the equipment would be obsolete in 5 more years and the residual value would still be $5,000. What will be the depreciation under the straight-line method to the nearest dollar be for the third year?

A. $1,000

B. $1,600

C. $1,500

D. $8,000

1 Answer

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Final answer:

The straight-line depreciation for the third year after adjusting the useful life and accounting for the past depreciation is $1,600, corresponding to option B.

Step-by-step explanation:

Leo's Lawncare initially purchased equipment with a cost of $15,000 and a residual value of $5,000 spreading over a 10-year lifespan. To calculate the annual depreciation using the straight-line method, we deducted the residual value from the cost and divided by the useful life. Thus, for the initial 2 years, the depreciation per year was ($15,000 - $5,000) / 10 = $1,000.

After two years, they revised the useful life to a total of 7 years (2 years past and 5 years future), with the residual value remaining at $5,000. The revised annual depreciation for the remaining 5 years would then be calculated based on the book value at the end of year 2 ($15,000 cost - $2,000 accumulated depreciation) minus the residual value, all divided by the revised useful life (5 years). This results in ($13,000 - $5,000) / 5 = $1,600 depreciation for each of the remaining 5 years.

Therefore, the depreciation under the straight-line method for the third year would be $1,600, which corresponds to option B.

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