You have just turned $38$ years$$ old, have just received your$$ MBA, and have accepted your first job. Now you must decide how much money to put into your retirement plan. You are required to specify a fixed percentage of your salary that you want to contribute. Assume that your starting salary is $$$$70$ comma $000$ per year and it will grow $2\%$ per year until you retire. Every dollar in the plan earns $5\%$ per year. You cannot make withdrawals until you retire on your $67$th birthday. After that$$ point, you can make withdrawals as you see fit. You decide that you will plan to live to $95$ and work until you turn $67.$ You estimate that to live comfortably in$$ retirement, you will need $$$$100$ comma $000$ per year starting at the end of the first year of retirement and ending on your $95$th birthday. What percentage of your income do you need to contribute to the plan every year to fund your retirement$$ income?