Question

A television cost $7,000. It was estimated to have a useful life of 5 years and an estimated recovery value of $1,000. What will be the book value at the end of the fifth year? If the television is not sold at the end of the fifth year, what will be the depreciation at the end of the sixth year?

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Answer to a math question A television cost $7,000. It was estimated to have a useful life of 5 years and an estimated recovery value of $1,000. What will be the book value at the end of the fifth year? If the television is not sold at the end of the fifth year, what will be the depreciation at the end of the sixth year?

Expert avatar
Jayne
4.4
105 Answers
"The book value of an asset at the end of its useful life is typically the same as its estimated salvage or recovery value, because it is assumed that all depreciation has been accounted for over the asset's useful life.

Given that the television costs $7,000 and has a recovery value of $1,000 after 5 years, we can calculate the annual depreciation using straight-line depreciation, which is the most common method.

The annual depreciation is calculated as:

\text{Annual Depreciation} = \frac{\text{Cost} - \text{Recovery Value}}{\text{Useful Life}}

Let's calculate the annual depreciation:

\text{Annual Depreciation} = \frac{7000 - 1000}{5} = \frac{6000}{5} = 1200

Therefore, the annual depreciation for the television is $1,200.

The book value at the end of the fifth year will be $1,000, which is the estimated recovery value."

\textbf{Answer: $1,000}

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