For the following cash flow, calculate and graph the present worth as a function of the interest rate. Show all work using i for interest rate to set up the equations needed for each option (**Do not use Excel)

a. Assume the interest rate is compounded annually. b. Assume the interst rate is compounded continuously. c. Repeat for the annual equivalent amount. d. Repeat for the future-worth amount.

End of year Cash flow -$50,000 $5,000 $8,000 $11,000 $1,000 $17,000 $20,000 $23,000