Alice has two bags. each bag has $4$ slips of paper with the numbers $1$ through $4$ on them. betty also has two bags, each with $4$ slips of paper with positive integers on them. they decide to play a game whereby each girl pulls a slip from each of her own bags, records the sum of the numbers, then returns each slip to the bag it came from. the numbers in betty's bags are not $1$ through $4$ in each bag, but the expected distribution of her sums is the same as alice's. what are all eight numbers in betty's bags?

Bear, inc. estimates its sales at 200,000 units in the first quarter and that sales will increase by 20,000 units each quarter over the year. they have, and desire, a 25% ending inventory of finished goods. each unit sells for $35. 40% of the sales are for cash. 70% of the credit customers pay within the quarter. the remainder is received in the quarter following sale. cash collections for the third quarter are budgeted at

At a roundabout, you must yield to a. already in the roundaboutb. entering the roundaboutc. only if their turn signal is ond. only if they honk at you

Your parents have accumulated a $170,000 nest egg. they have been planning to use this money to pay college costs to be incurred by you and your sister, courtney. however, courtney has decided to forgo college and start a nail salon. your parents are giving courtney $20,000 to her get started, and they have decided to take year-end vacations costing $8,000 per year for the next four years. use 8 percent as the appropriate interest rate throughout this problem. use appendix a and appendix d for an approximate answer, but calculate your final answer using the formula and financial calculator methods. a. how much money will your parents have at the end of four years to you with graduate school, which you will start then?