On January $26,$ Nova Co$.$ borrowed cash from Conrad Bank by issuing a $90-$day note with a face amount of $$76,800.$ Assume a $360-$day year. a$.$ Determine the proceeds of the note, assuming the note carries an interest rate of $5\%$ : $$\_\_\_\_\_\_$

b$.$ Determine the proceeds of the note, assuming the note is discounted at $5\%$: $\_\_\_\_\_\_\_$