On January $1,2023,$ a machine was purchased for $$87,500.$ The machine has an estimated salvage value of $$6,500$ and an estimated useful life of $5$ years. The machine can operate for $100,000$ hours before it needs to be replaced. The company closed its books on December $31$ and operates the machine as follows: $2023,20,000$ hours; $2024,25,000$ hours; $2025,15,000$ hours; $2026,30,000$ hours; and $2027,10,000$ hours.

Assume a fiscal year ends september $30$th$.$ Compute the annual deprecial charges over the assets life applying straight line method, sum of the years method, and double declining balance method