Your car dealer offers to buy back your old car with two payments. The first payment $($$$5000)$ will be made in two years and the second payment $($$$6000)$ will be paid in $5$ years. Assuming that you can invest money at $10\%$ per year, and that you want to receive $$9,000$ for the car if cash is paid today, should you accept?

a$.$

No$,$ present value is $$7,857\mathrm{.}76$

b$.$

No$,$ present value is $$6,830\mathrm{.}13$

c$.$

Yes, present value is $$9,090\mathrm{.}91$

d$.$

Yes, present value is $$9,522\mathrm{.}67$