Find the distance between $-2\frac{1}{2}$ and $-1\frac{1}{3}$
on a number line. Write your answer as a fraction or mixed number in simplest form.

You are chairman of the board of a successful technology firm. there is a nominal federal corporate tax rate of 35 percent, yet the effective tax rate of the typical corporation is about 12.6%. your firm has been clever with use of transfer pricing and keeping money abroad and has barely paid any taxes over the last 5 years; during this same time period, profits were $28 billion. one member of the board feels that it is un-american to use various accounting strategies in order to avoid paying taxes. others feel that these are legal loopholes and corporations have a fiduciary responsibility to minimize taxes. one board member quoted what the ceo of exxon once said: “i’m not a u.s. company and i don’t make decisions based on what’s good for the u.s.” what are the alternatives? what are your recommendations? why do you recommend this course of action?

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?

Jallouk corporation has two different bonds currently outstanding. bond m has a face value of $50,000 and matures in 20 years. the bond makes no payments for the first six years, then pays $2,100 every six months over the subsequent eight years, and finally pays $2,400 every six months over the last six years. bond n also has a face value of $50,000 and a maturity of 20 years; it makes no coupon payments over the life of the bond. the required return on both these bonds is 10 percent compounded semiannually. what is the current price of bond m and bond n?