An asset was purchased for $$100,000$ on January $1,$ Year $1$ and was originally estimated to have a useful life of $10$ years with a residual value of $$10,000.($The firm uses the straight$-$line method to depreciate all of its assets.$)$

At the beginning of Year $4,$ it was determined that the remaining useful life of the asset was only $5$ years with a residual value of $$2,000.$

How much is the amount of depreciation expense for Year $4$ using the revised amounts?

$($Enter just the number. No dollar signs, decimals, or thousands separators. Example: $9000,$ not $$9000,9000\mathrm{.}00,$ nor $9,000).$