Below is a 6 × 8 array containing the ages of moviegoers. Treat this as a population. 32 34 33 12 57 13 58 16 23 23 62 65 35 15 17 20 14 11 51 33 31 13 11 58 23 10 63 34 12 15 62 13 40 11 18 62 64 30 42 20 21 56 11 51 38 49 15 21 (a) What was the proportion of all 48 moviegoers who were under age 45?

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?

Pennewell publishing inc. (pp) is a zero growth company. it currently has zero debt and its earnings before interest and taxes (ebit) are $80,000. pp's current cost of equity is 10%, and its tax rate is 40%. the firm has 10,000 shares of common stock outstanding selling at a price per share of $48.00. refer to the data for pennewell publishing inc. (pp). pp is considering changing its capital structure to one with 30% debt and 70% equity, based on market values. the debt would have an interest rate of 8%. the new funds would be used to repurchase stock. it is estimated that the increase in risk resulting from the added leverage would cause the required rate of return on equity to rise to 12%. if this plan were carried out, what would be pp's new value of operations? a. $484,359 b. $521,173 c. $584,653 d. $560,748 e. $487,805

You hold a diversified $100,000 portfolio consisting of 20 stocks with $5,000 invested in each. the portfolio's beta is 1.12. you plan to sell a stock with b = 0.90 and use the proceeds to buy a new stock with b = 1.50. what will the portfolio's new beta be? do not round your intermediate calculations.