For the following cash flow, calculate and graph the present worth as function of the interest rate. Please show all equations, work and graph.

S. For the following cash flow, calculate and graph the present worth as a func. tion of the interest rate. End of year 1 2 3 4 5 6 0 Cash flow -$50,000 $5,000 $8,000 $11,000 $14,000 $17,000 $20,000 $23,000a. Assume the interest rate is compounded annually. b. Assume the interest rate is compounded continuously. C. Repeat for the annual equivalent amount. d. Repeat for the future-worth amount