Calculate the present value of an annuity (as a series of uniform payments) (use Table 7). 2a. Beth has won the $40 million lottery!! She will receive $2million per year for 20 years. If Beth could invest the money at 7% interest what is the $20 million lottery really worth today?(i.e., is a $20 million lottery really a $20 million lottery?) (Another way of stating this problem would be What is the most a prize consolidation company would be willing to pay Beth in a lump sum today for her lottery winnings if their discount rate is 7%?) 2b. If the State can invest its lottery tax money at 10%, what is the $40 million lottery prize actually costing the State today? 2c. The lottery offers Beth an alternative---to take a lump sum today of $7,469,400 instead of the annual payments. What interest/discount rate is the lottery charging Beth if she takes the lump sum instead of the annual payments?