Depreciation by three methods; partial years

Perdue Company purchased equipment on April $1$ for $$270,000.$ The equipment was expected to have a useful life of $3$ years or $18,000$ operating

hours, and a residual value of $$9,000.$ The equipment was used for $7,500$ hours during Year $1,5,500$ hours in Year $2,4,000$ hours in Year $3,$ and

$1,000$ 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.

Note: FOR DECLINING BALANCE ONLY, do not round the multiplier. Then, round the answer for each year to the nearest whole

dollar.