Bui is checking out a Ford Explorer, which has a sticker price of $$31,970.$ She's able to negotiate $$3000$ off sticker price, and the tax rate is $7\mathrm{.}5\%.$ License and title fees are $$395.$ If she trades in her old minivan for $$6000($deducted from the negotiated price before taxes$),$ the monthly payment will be $$503\mathrm{.}61$ for $72$ months. She's also offered a lease with $$3400$ down and payments of $$399$ for $36$ months. $($a$)$ How much will Bui pay total if she chooses the lease option?