Jane wants to save money for her son's college tultion. She deposits $$1500$ at the end of each year In an ordinary annulty that pays $9\%$ Interest, compounded annually.

Answer each part. Do not round any intermedlate computations nor answers. If necessary, refer to the list of financial formulas.

$($a$)$ Find the total value of the annuity at the end of the $1^{st}$ year.

$prod

$($b$)$ Find the total value of the annulty at the end of the $2^{nd}$ year.

$$$

Find the total value of the annulty at the end of the $3^{rd}$ year.