A precision lathe costs $$15,000$ upfront and will cost $$22,000$ a year to$$ operate and maintain. If the discount rate is $10\%$ and the lathe will last for six years, what is the equivalent annual cost of the tool?

Question $6$ options:

$$27,815\mathrm{.}74$

$$22,637\mathrm{.}98$

$$23,765\mathrm{.}34$

$$25,444\mathrm{.}11$