Winners of the georgia lotto drawing are given the choice of receiving the winning amount divided equally over 2121 years or as a lump-sum cash option amount. the cash option amount is determined by discounting the annual winning payment at 88% over 2121 years. this week the lottery is worth $1616 million to a single winner. what would the cash option payout be?

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

Microsoft's stock price peaked at 6118% of its ipo price more than 13 years after the ipo suppose that $10,000 invested in microsoft at its ipo price had been worth $600,000 (6000% of the ipo price) after exactly 13 years. what interest rate, compounded annually, does this represent? (round your answer to two decimal places.)

When using various forms of promotion to carry the promotion message, it is important that the recipients of the message interpret it in the same way. creating a unified promotional message, where potential customers perceive the same message, whether it is in a tv commercial, or on a billboard, or in a blog, is called