The Powerball lottery is open to participants across several states. When entering the powerball lottery, a participant selects five numbers from 1-59 and then selects a powerball number from the digits 1-35. In addition, there’s a $1 million payoff for anybody selecting the first five numbers correctly. • Show that the odds of winning the Powerball Jackpot are 1 in 175, 223, 510. • Show that the odds of winning the $1 million are 1 in 5, 153, 632. On February 18, 2006 the Jackpot reached $365 million. Assuming that you will either win the Jackpot or the $1 million prize, what’s your expected value of winning? Mega Millions is a similar lottery where you pick 5 balls out of 56 and a powerball from 46. Show that the odds of winning mega millions are higher than the Powerball lottery On March 30, 2012 the Jackpot reached $656 million. Is your expected value higher or lower than that calculated for the Powerball lottery?

The following information is available for jase company: market price per share of common stock $25.00 earnings per share on common stock $1.25 which of the following statements is correct? a. the price-earnings ratio is 20 and a share of common stock was selling for 20 times the amount of earnings per share at the end of the year. b. the market price per share and the earnings per share are not statistically related to each other. c. the price-earnings ratio is 5% and a share of common stock was selling for 5% more than the amount of earnings per share at the end of the year. d. the price-earnings ratio is 10 and a share of common stock was selling for 125 times the amount of earnings per share at the end of the year.

The cost of labor is significantly lower in many countries than in the united states. if you move manufacturing to a facility to a country labeled as part of the axis of evil and a threat to world peace you will increase the net income of your client by $10 million per the facility is located in a country which limits personal freedom and engages in state sponsored terrorism. imagine you are a marketing consultant. (a) what would you tell the executives to do? (b) what are the alternatives? what are your recommendations? why do you recommend this course of action?

The expenditures and receipts below are related to land, land improvements, and buildings acquired for use in a business enterprise. the receipts are enclosed in parentheses. money borrowed to pay building contractor (signed a note) $(276,500 ) (b) payment for construction from note proceeds 276,500 (c) cost of land fill and clearing 11,220 (d) delinquent real estate taxes on property assumed by purchaser 8,340 (e) premium on 6-month insurance policy during construction 12,060 (f) refund of 1-month insurance premium because construction completed early (2,010 ) (g) architect’s fee on building 27,040 (h) cost of real estate purchased as a plant site (land $206,800 and building $55,900) 262,700 (i) commission fee paid to real estate agency 9,620 (j) installation of fences around property 4,030 (k) cost of razing and removing building 10,130 (l) proceeds from salvage of demolished building (4,910 ) (m) interest paid during construction on money borrowed for construction 13,700 (n) cost of parking lots and driveways 17,690 (o) cost of trees and shrubbery planted (permanent in nature) 14,080 (p) excavation costs for new building 2,950 identify each item by letter and list the items in columnar form.