Question $10(1\mathrm{.}5$ points$)$

Amy, a college student, needs to borrow $$6,000$ today for her tuition bill. She agr to pay back the loan in a lump$-$sum payment $5$ years from now, after she is out of college. The bank states that the payment will need to be $$7,500.$ If Amy borrow: the $$6,000$ from the bank, what interest rate is she paying on his loan?

a$)7\mathrm{.}5\%$

b$)5\mathrm{.}5\%$

c$)6\%$

d$)4\mathrm{.}56\%$