PLEASE PLEASE PLEASE HELP WITH ANNUITIES.

1. Patricia invested the profit of her business in an investment fund that was earning 3.25% compounded monthly. She began withdrawing $2500 from this fund every six months, with the first withdrawal in 3 years. If the money in the fund lasted for the next 7 years, how much money did she initially invest in the fund?

2. A college plans to set up an endowment fund that will provide a scholarship of $2500 at the end of every quarter, in perpetuity. How much should the college invest in the fund, if the fund earns 4% compounded quarterly?

3. The Smiths have decided to invest in a college fund for their young son. They invested $40,000 in a deferred annuity that will pay their son at the beginning of every month for four years, while he goes to college. If the count earns 3% compounded monthly and annuity payments are deferred for 13 years, what will be the size of the monthly payments?

4. Monica started a scholarship fund that would be $1200 at the end of every month in perpetuity. The phone earns 3.90% compounded monthly. How much money would be required to set up this fund?

5. Eric purchased an annuity that had an interest rate of 3.25% compounded semi annually. It provided him with payments of $1500 at the end of every month for five years. If the first withdrawal is to be made in four years and one month, how much did she pay for it?

6. Shelby invested her savings in a bank at 3.75% compounded quarterly. How much money did she invest to enable withdrawals of $3000 at the beginning of every six months from the investment for six years, if the first withdrawal is to be made in eight years?