Mascis is buying a plece of art $-$ a sculpture of a small dinosaur titled "Dinosaur Jr$".$ Dinosaur

Ir is valued at $$11,950.$ Mascis can afford monthly payments of $$450$ and is considering $2$

options:

The art dealer is offering a payment option of ${13}_{\%}$ interest, compounded monthly, but

includes a $4\mathrm{.}5\%$ rebate.

A bank is offering a loan at $8\mathrm{.}5\%,$ compounded monthly.

a$)$ What is the total cost of each option?

b$)$ What amount of interest is paid for each option?

c$)$ How long will it take to pay off each option?

d$)$ Which option is the better deal?