On January $2,2023,$ Helmkamp Company purchased a $$50,000$ machine. It had an estimated useful life of $5$ years and a residual value of $$5,000.$ What is the amount of depreciation expense for $2024,$ the second year of the asset's life, using the double declining $-$ balance method? $($Round intermediary calculations to two decimal places and your final answer to the nearest dollar.$)$

A$.$ $$10,000$

B$.$ $$12,000$

C$.$ $$20,000$

D$.$ $$9,000$