Marriott Hotels purchased eight iRobot Roomba $17+$ for $$900$ each. It received a $15\%$ discount for buying more than four and an additional $5\%$ discount for immediate delivery. Terms of payment were $\frac{3}{10},\frac{n}{30}.$ Marriott Hotels pays the bill within the cash discount period. How much should the check be written for?

Note: Do not round intermediate calculations. Round your final answer to the nearest cent.

Amount