On May $13,$ a company accepted an $$8500$ note in settlement of a bill. The note was for $160$ days at $7\mathrm{.}25\%$ simple interest. If the company sells the note to a loan company at a $10\mathrm{.}5\%$ discount $90$ days after receipt, find the bank discount and the proceeds.

Click the icon to view the Number of Each of the Days of the Year table.

The bank discount is $$.$

$($Round to the nearest cent.$)$

The proceeds are $$.$