Challenge Problem $10-37($Algo$)[$LU $10-1(2)]$

Janet Foster bought a computer and printer at Computerland. The printer had a $$560$ list price with a $$100$ trade discount and $\frac{2}{10},\frac{n}{30}$ terms. The computer had a $$2,080$ list price with a $25\%$ trade discount but no cash discount. On the computer, Computerland offered Janet the choice of $(1)$ paying $$80$ per month for $17$ months with the $18$ th payment paying the remainder of the balance or $(2)$ paying $6\%$ interest for $18$ months in equal payments.

a$.$ Assume Janet could borrow the money for the printer at $6\%$ to take advantage of the cash discount. How much would Janet save?

Note: Use $360$ days a year. Round your answer to the nearest cent.

Janet's savings

b$.$ On the computer, what is the difference in the final payment between choices $1$ and $2?$

Note: Round your answer to the nearest cent.

Difference final payment