On January $1,2022$ Guard Security Service purchased an alarm monitoring system for $$50,000.$ The system is expected to be used for $5$ years, after which it can be sold for $$5,000.$

If Guard Security Service uses the double$-$declining$-$balance method of depreciation, what is depreciation expense for $2022?$

Group of answer choices

$$16,400$

$$12,000$

$$9,000$

$$20,000\backslash$