Jack's family went out to dinner at his favorite restaurant, because his dad had a coupon for 15% off. His dad said if he could correctly figure out the total cost of dinner, including the612 % sales tax, he would take them all out for frozen yogurt on the way home. The meal cost $53.52 without the discount. Jack determined the total, with the coupon discount and sales tax, would be $44.50. Did Jack figure it out correctly? Show your work to support your answer.