You accept a job immediately upon graduating from WWU. One of the benefits provided by your new employer is that for every year of employment$-$ at the end of each and every year of service $-$ exactly $$4,500$ will be paid directly toward your student debt. At graduation the terms of your student debt is: $$45,000$ at $6\%($compounded anually$).$ How many years must you stay with this job to pay off that debt entirely?

a$)16$ years

b$)20$ years

c$)10$ years

d$)15$ years