Please step by step manually.

You are currently 30 years old and want to start saving for your retirement. You decide to make monthly contributions of $200, split equally between a stock account with a 10% annual interest rate and a bond account with a 6% annual interest rate. You plan to work for another 35 years and combine your investments into an account with a 4% return at retirement. Assuming a monthly compounding interest rate, answer the following questions:

a. How much would you be able to withdraw each month from your account assuming a 25-year withdrawal period?

b. Using your own words, explain the difference between simple interest and compound interest and how it affects investments over time. What would happen to your retirement savings if the interest rate on your stock account decreases from 10% to 8%?

c. What would be the total value of your retirement savings if you invested $250 monthly instead of $200, with $125 going to the stock account and $125 going to the bond account, assuming all other variables remaining the same?

d. If you want to have $1,500,000 at retirement, how much would you have to start investing monthly today in your stock account with a 10% return and your bond account with a 6% return, both quoted as APRs? Which one of these rates, APR or EAR, provides a more accurate representation of the true return on investment? Elaborate your answer.