2. After graduating from UTD at age 25, Mary got her first job at Merrill Lynch with an annual salary of $65,000 a year and a one-time signing bonus of $30,000. She bought a nice car using her signing bonus. At the same time, Mary signed up for the 401K retirement plan by investing 10% of her monthly salary each month (including 5% of her own contribution and 5% of employer's match). Mary is expecting an annual salary increase of 3.6% (APR on a monthly base). Suppose, the 401K investment plan will earn her an annual return of 7.2% (APR on a monthly base). (Assume the beginning of age 25 is month 0 and salary is paid at the end of each month, i.e., beginning of age 65 is the last period) (a) How much money will Mary have when she retires in 40 years in her 401K account? (b) Instead, if she retires in 35 years, how much less money will Mary have? (c) Instead of buying a nice car, she brought a used car for $10,000, and saved the rest of the $20,000 in a separate investment account for retirement that pays 8% annual interest (APR on a monthly base). As a result, Mary will only contribute a total of 9% of her salary to her 401K plan so that she will have more money to consume each year (assume that the 401K account still earns the same return as before). Now, how much money will Mary have when she retires in 40 years in both her investment account and the 401K account