$4.$ You want to retire early so you know you must start saving money. Thus, you have decided to save $$7,500$ a year, starting at age $25.$ You plan to retire as soon as you can accumulate $$1,000,000.$ If you can earn an average of $10$ percent APR on your savings, how old will you be when you retire?

a$.52$ years

b$.53$ years

c$.54$ years

d$.55$ years