Ty recieved a separation payment of $$25000$ from his former employer when he was $35$ years old. He invested the money at $5\mathrm{.}5\%$ compounded semi$-$annually. When he was $65,$ he converted the balance into an ordinary annuity paying $$6000$ every three months with interst at $6\%$ compounded quarterly. For how long will the annuity continue to pay him?