On April $13,$ Michelle Lizaro borrowed $$8,000$ from her credit union at $9\%$ for $100$ days. The credit union uses the ordinary interest method.

$($a$)$ What is the amount $($in $$)$ of interest on the loan?

$($b$)$ What is the maturity value $($in $$)$ of the loan?

$($c$)$ What is the maturity date of the loan?