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Depreciation by three methods; partial years

Perdue Company purchased equipment on April $1$ for $$48,870.$ The equipment was expected to have a useful life of $3$ years, or $4,320$ operating hours, and a residual value of $$1,350.$ The equipment was used for $800$ hours during Year $1,1,500$ hours in Year $2,1,300$ hours in Year $3,$ and $720$ hours in Year $4.$

Required:

Determine the amount of depreciation expense for the years ended December $31,$ Year $1,$ Year $2,$ Year $3,$ and Year $4,$ by $($a$)$ the straight$-$line method, $($b$)$ the units$-$of$-$activity method, and $($c$)$ the double$-$declining$-$balance method.