Over fourteen years, Casey has saved $7200 by authorizing $30 to be deduced at the end of every month through a payroll deduction plan at his work. The money was sent to his savings account to be invested.

(a) What is the nominal annual rate of interest compounded monthly on the savings plan?

(Round to six decimal places as needed.)

(b) If, after the fourteen years, he withdraws $135 at the end of each month, what is the term of the annuity?

(Round up to the nearest whole number.)