The super ball lottery was won by joan; her winnings were $500,000.00 to be paid in quarterly payments of $12,500.00 each over the next 10 years. how much must super ball deposit in an account paying 8 percent interest compounded quarterly for 10 years in order to meet their commitment to joan? $341,937.50 $500,000.00 $755,021.75 $341,924.78

Catherine de bourgh has one child, anne, who is 18 years old at the end of the year. anne lived at home for seven months during the year before leaving home to attend state university for the rest of the year. during the year, anne earned $6,000 while working part time. catherine provided 80 percent of anne's support and anne provided the rest. which of the following statements regarding whether anne is catherine's qualifying child for the current year is correct? a.anne is a qualifying child of catherine.b.anne is not a qualifying child of catherine because she fails the gross income test.c.anne is not a qualifying child of catherine because she fails the residence test.d.anne is not a qualifying child of catherine because she fails the support test.

Suppose that two firms produce differentiated products and compete in prices. as in class, the two firms are located at two ends of a line one mile apart. consumers are evenly distributed along the line. the firms have identical marginal cost, $60. firm b produces a product with value $110 to consumers.firm a (located at 0 on the unit line) produces a higher quality product with value $120 to consumers. the cost of travel are directly related to the distance a consumer travels to purchase a good. if a consumerhas to travel a mile to purchase a good, the incur a cost of $20. if they have to travel x fraction of a mile, they incur a cost of $20x. (a) write down the expressions for how much a consumer at location d would value the products sold by firms a and b, if they set prices p_{a} and p_{b} ? (b) based on your expressions in (a), how much will be demanded from each firm if prices p_{a} and p_{b} are set? (c) what are the nash equilibrium prices?

Sauer food company has decided to buy a new computer system with an expected life of three years. the cost is $440,000. the company can borrow $440,000 for three years at 14 percent annual interest or for one year at 12 percent annual interest. assume interest is paid in full at the end of each year. a. how much would sauer food company save in interest over the three-year life of the computer system if the one-year loan is utilized and the loan is rolled over (reborrowed) each year at the same 12 percent rate? compare this to the 14 percent three-year loan.