Tom can get a car loan with a term of four years at an APR of $4\mathrm{.}5\%.$ If he can afford a monthly payment of $$300,$ how much can Tom borrow?

Assume you start working in your career at the age of $28.$ Your employer deposits $$125$ each month into a retirement account that pays $5\mathrm{.}75\%$ APR, compounded monthly.

a$)$ What is your account balance if you retire at the age of $60?$

b$)$ How much was deposited over that time period?

c$)$ How much interest was earned over that time period?

Five years after you purchase $10$ shares of a company for $$52$ per share, you sell the shares for a total of $$670.$

a$)$ Calculate the total return.

b$)$ Calculate the annual return.