company borrowed at $4\mathrm{.}94\%$ compounded semi dash annually to purchase$$ equipment, agreeing to make payments of $$$$2020$ at the end of every three months for $13$ payments.

$($a$)$ What is the equivalent cash price of the$$ equipment?

$($b$)$ How much will be owed at the end of two $$years$?$

$($c$)$ How much of the principal will be repaid within the first two $$years$?$

$($d$)$ How much interest is paid during the first two $$years$?$