On January $26,$ Nova Co$.$ borrowed cash from Conrad Bank by issuing a $60-$day note with a face amount of $$51,600.$ Assume a $360-$day year.

a$.$ Determine the proceeds of the note, assuming the note carries an interest rate of $9\%.$

$fill in the blank $1$

b$.$ Determine the proceeds of the note, assuming the note is discounted at $9\%.$

$fill in the blank $2$