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 $$4,500$ will be paid directly toward the your student debt. At graduation the terms of your student debt is: $$45,000$ at $6\%($compounded annually$).$

How many years must you stay with this job to pay off that debt completely?

Group of answer choices

$20$ years

$10$ years

$15$ years

$16$ years