1.A woman wants to withdraw $80,000 per year for the next 30 years. Her retirement funds will be invested in assets that are expected to earn an annual rate of return of 6%. Assume her first withdraw comes one year after her date of retirement. How much money does she need in her retirement fund on her retirement date.

1b. It is 50 years prior to her retirement date. Starting one year from today, she plans to begin funding her retirement play by investing in assets that are expected to earn an annual rate of 8%. Find the size of the equal annual payments that she needs to make into her account, for the next 50 years, in order to have amassed the dollar amount you found in part a by the day she retires.

2. An interest rate of 3% per year, with compounding monthly interest, on its CD. If you invest $10,000, how many months will it take for your investment to grow to 12,000?

Need the questions answered with finance practices and equations, not on excel. Thank You.