Suppose you pay $50 to enter into a raffle with $1,000 prize. If you have a 3% chance of winning comma the expected value of your ticket is.

Alocal club is selling christmas trees and deciding how many to stock for the month of december. if demand is normally distributed with a mean of 100 and standard deviation of 20, trees have no salvage value at the end of the month, trees cost $20, and trees sell for $50 what is the service level?

Amanda rice has just arranged to purchase a $640,000 vacation home in the bahamas with a 20 percent down payment. the mortgage has a 7 percent apr compounded monthly and calls for equal monthly payments over the next 30 years. her first payment will be due one month from now. however, the mortgage has an eight-year balloon payment, meaning that the balance of the loan must be paid off at the end of year 8. there were no other transaction costs or finance charges. how much will amanda’s balloon payment be in eight years

Burke enterprises is considering a machine costing $30 billion that will result in initial after-tax cash savings of $3.7 billion at the end of the first year, and these savings will grow at a rate of 2 percent per year for 11 years. after 11 years, the company can sell the parts for $5 billion. burke has a target debt/equity ratio of 1.2, a beta of 1.79. you estimate that the return on the market is 7.5% and t-bills are currently yielding 2.5%. burke has two issuances of bonds outstanding. the first has 200,000 bonds trading at 98% of par, with coupons of 5%, face of $1000, and maturity of 5 years. the second has 500,000 bonds trading at par, with coupons of 7.5%, face of $1000, and maturity of 12 years. kate, the ceo, usually applies an adjustment factor to the discount rate of +2 for such highly innovative projects. should the company take on the project?