Roni Lockard signed a $$27,500$ simple discount promissory note at a certain bank. The discount rate was $14\%,$ and the note was made on February $13($not in a leap$-$year$)$ for $112$ days.

$($a$)$

What proceeds $($in $$)$ will Roni receive on the note?

$

$($b$)$

What is the maturity date of the note?

$---$Select$---$