25 years old, salary is 70,000

1. assume your nest egg is 4,504,260. since you are 25 you want to be more aggressive with investments and expect to earn 8% while saving for retirement. you were left 50,000 cash inheritance that you will invest at (8%) to help fund your nest egg. If you start saving at 25 yrs and plan to save until you retire at age 65, how much must you save each year (at the end of the year) to reach your financial goal of 4,504,260. show work

2. Now you earned 9% per year on your portfolio instead of 8% during the 40 yrs you were saving for retirement. if your annual saving was the amount found above, how much money would you be able to live on in retirement each year assuming you live to age 100? Assuming you can earn 5% in retirement and pay yourself at the beginning of each year. show work

3. by the time you reach your retirement, you accumulated a 4,000,000 nest egg. Assume you are spendthrift and live on 300,000 per yr and you earn 4% per yr on your money instead of 5%. How many yrs will you run out of money? show work