Sarah Adia owes $$29,000$ now. A lender will carry the debt for eight more years at $9$ percent interest. That is$,$ in this particular case, the amount owed will go up by $9$ percent per year for eight years. The lender then will require that Sarah pay off the loan over the next $16$ years at $12$ percent interest.

What will her annual payment be$?($Use a Financial calculator to arrive at the answer. Do not round intermediate calculations. Round the final answer to nearest whole dollar.$)$