Archie Co. purchased a framing machine for $45,000 on January 1, 2021. The machine is expected to have a four-year life, with a residual value of $5,000 at the end of four years. Using the straight-line method, depreciation for 2022 and book value at December 31, 2022, would be:

$10,000 and $25,000

Explanation:

DEPRECIATION FOR 2022.

Straight line method of depreciation means it depreciates by the same amount every year. You can calculate by

(Cost - Residual Value) / useful life.

=($45,000 - $5,000) / 4

= $10,000.

Each year the framing machine reduces by $10,000 meaning in 2022 the depreciation will be $10,000.

BOOK VALUE AT DECEMBER 31, 2022

We've established that every year the value drops by $10,000.

On December 31, 2021, it dropped by $10,000.

On December 31, 2022, it dropped by another $10,000.

Adding that together gives you 10,000 + 10,000 = $20,000.

$20,000 is the total depreciation at the end of 2022.

Subtract that figure from the cost,

=$45,000-$20,000

=$25,000.

BOOK VALUE ON DECEMBER 31, 2022 is $25,000.