A truck acquired at a cost of $$380,000$ has an estimated residual value of $$20,900,$ has an estimated useful life of $57,000$ miles, and was driven $5,700$ miles during the year. Determine the following. If required, round your answer for the depreciation rate to two decimal places.

$($a$)$ The depreciable cost

$($b$)$ The depreciation rate

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$($c$)$ The units$-$of$-$activity depreciation for the year per mile