On January $1,$ a company purchased equipment that cost $$110,000.$ The equipment has an estimated residual value of $$10,000$ and an estimated service life of $10$ years or $100,000$ hours. Using the straight$-$line method, double$-$declining balance method, and activity$-$based method, what is the amount of depreciation expense under each method for the second year, during which the equipment was used $9,000$ hours? Show your calculations.$$