An item is purchased for $24$ monthly payments of $$150.$ The first payment is due on the date of sale, and the interest rate charged on the balance is $18\%$ compounded monthly. What is the purchase price of the item?Group of answer choices$$4295\mathrm{.}03$$$3409\mathrm{.}53$$$3004\mathrm{.}56$$$3049\mathrm{.}63$$$3600\mathrm{.}00$