please help me question 6,7,8 thanks!

6) (30 points) John plans to make 10 equal annual deposits starting one year from now into a fund that pays an interest of 10% per year compounded annually. He would like to withdraw $10,000 each year for 5 years, starting one year after the last annual deposit. If the account balance is to be zero immediately after the last withdrawal, what should be John's annual deposit? 7) (25 points) First draw a cash flow diagram for the cash flow series shown below. Then write an expression (e.g., P-500(P/A 5%, 3) + 100(P/G 5%, 3) + ...) for the present worth of the following cash flow series. You must use at least one uniform series factor, one arithmetic gradient series factor, and one geometric gradient series factor. i 5% per period. No calculations are needed. EOY 0 Cash 1 -2,000 Flow 7 4,800 8 5,760 9 6,912 10 8,000 -6,000 -6,300 -6,600 -6,900 7,000 4,000 a) (5 points) Draw the cash flow diagram for the above cash flow series. b) (20 points) Write down the expression for the present worth of the above cash flow series. 8) (30 points) A company has $500,000 available to invest. It has narrowed its choices to two projects, each expected to last for 10 years. Project A is expected to generate a net income of $50,000 at the end of year one with an annual increase of $10,000 each year in net annual income over the next 9 years. Project B is expected to generate a net income of $40,000 at the end of year one and the net annual income over each of the next 9 years being 20% larger than the previous year's net annual income. The company's TVOM is 10% per year compounded annually. a) (12 points) Compute the present value of the net income from Project A over the 10-year period. b) (12 points) Compute the present value of the net income from Project B over the 10-year period. c) (6 points) Based on the above present values, which project should the company choose, if any? Explain