$2-14$ Money is worth $0\mathrm{.}75\%$ per month to you. You're offered the following deals to buy your new BMW $760$Li $($with twinturbocharged and intercooled DOHC $32$ valve V$-8).$

Deal A:

Pay no money down

Pay $$1,400$ per month for $12$ months Pay $$1,900$ per month for the second year $(12$ months$)$

Pay $$3,400$ per month for years $3,4,$ and $5(36$ months$)$

You own the car!

Deal B:

Pay X amount down today

Pay $$2,300$ per month for $60$ months You own the car!

What is the amount X that you must pay down to make Deal A and Deal B equivalent? Compound monthly.