On January $1,2023,$ a machine was purchased for $$102,500.$ The machine has an estimated salvage value of $8000$ and useful life of $5$ years. The machine can operate for $105,000$ hours before it needs to be replaced. The company closed its books on December $31$ and operates the machine as follows: $2023,21,000$ hours; $2024,26,250$ hours; $2025,15,750,2026,31,500,$ and $2027,10,500$ hours. Assume a fiscal year$-$end of September $30.$ Compute the annual depreciation charges over the asset$$s life applying each of the following methods. $($Round answers to $0$ decimal places, e$.$g$.45,892.)$ Straight$-$line Method $,$ Sum$-$of$-$the$-$years'$-$digits method, and Double$-$declining$-$balance method.