Dan Dayle started a business by issuing an $$82,000$ face value note to First State Bank on January $1,$ Year $1.$ The note had a $8$ percent annual rate of interest and a five$-$year term. Payments of $$20,537$ are to be made each December $31$ for five years.

Required:

a$.$ What portion of the December $31,$ Year $1,$ payment is applied to interest expense and principal?

b$.$ What is the principal balance on January $1,$ Year $2?$

c$.$ What portion of the December $31,$ Year $2,$ payment is applied to interest expense and principal?

Note: Round your answers to the nearest dollar amount.

$\backslash$table$[[$a$.$ Interest expense,$],[$a$.$ Principal,$],[$b$.$ Principal balance,$],[$c$.$ Interest expense,$],[$c$.$ Principal,$]$