$.$Eddie is $31$ years old now, he had $$5,000$ in his saving account when he was $20$ years old and he planned to contribute $$5,000$ into this account every year. However, he lost his job several years ago, so he had to stop put money in during his $26$ and $27($that is$,$ no cash inflow to his account at age $26$ and $27).$ Fortunately, he got a better job and start to contribute $$7,000$ at age $28.$ He planned to increase this amount by $5\%$ each year after. Suppose the bank account earns $12\%$ p$.$a$.,$ compounded annually. What is the value of this account now? Choose the closest one.

a$)$ $$115,891$ b$)$ $$125,501$ c$)$ $$80,089$ d$)$ $$33,315$