Edmonton Pizza borrowed money to redesign their restaurants. Payments of $$$$410$ would be made at the beginning of each month for six $$years$,$ starting in eighteen months. Interest on the loan is $4\mathrm{.}55\%$ compounded annually.

$($a$)$ How much must the company borrow$$ today?

$($b$)$ What will be the amount of the total$$ payments?

$($c$)$ How much of the amount paid will be$$ interest?