The Peel Trading Company received an invoice dated September $20$ for $$$$16$ comma $000$ less$25\%,20\%,$ terms$5/10,2/30,$ n$/60.$ Peel made a payment on September $30$ to reduce the debt to$$ $$5000$ and a payment on October $20$ to reduce the debt by$$ $$3000.$

$($a$)$

What amount must Peel remit to pay the balance of the debt at the end of the credit$$ period?

$($b$)$

What is the total amount paid by$$ Peel?