Lauren, 22, is a 2020 Florida Tech graduate and has accepted a job with a large international retail company. Her first year salary is $57,250. Her co-workers told her she can expect a 3% annual pay increase. Her company has a defined contribution plan (traditional 401k) that allows Lauren to contribute a maximum of 20% of her annual salary. The company will match her retirement contribution, on a dollar for dollar basis, up to 5% of her annual salary. Lauren expects her average annual salary, over her 45 year career, to be $143,000. She plans to retire in 2064 at the very young age of 67 years. Lauren expects to earn an average annual return of 6.28% over the next 45 years. Her marginal tax rate is 25%. a) If Lauren contributes 7% to her retirement plan, what is the total annual amount contributed to her retirement account in the first year? b) Calculate the value of Lauren's retirement account in 45 years assuming she contributes 2.5% annually to her retirement plan. c) Calculate the value of Lauren's retirement account in 45 years assuming she contributes 10% annually to her retirement plan. d) What percent (%) of Lauren's annual 401(k) contribution is taxable? e) As Lauren's financial planner, what advice would you give to her regarding her 401k retirement account