On January $1,$ Pacific Specialty Foods purchased equipment for $$16,000.$ Residual value at the end of an estimated four$-$year service life is expected to be $$1,600.$ The machine operated for $2,100$ hours in the first year, and the company expects the machine to operate for a total of $15,000$ hours.

Calculate depreciation expense for the first year using each of the following depreciation methods: $(1)$ straight$-$line, $(2)$ doubledeclining$-$balance, and $(3)$ activity$-$based. $($Do not round your intermediate calculations.