Lie Around Furniture manufactures two products: Futons and Recliners. The following data are available: Futons Recliners Sales price $ 510 $ 740 Variable costs $ 350 $ 375 The company can manufacture either 3 futons per machine hour or 1 recliner(s) per machine hour. The company's production capacity is 12 comma 000 machine hours per month. What is the contribution margin per machine hour for recliners?

Shareholders of tesla recently expressed concerns that elon musk should give up some of his power on tesla's board by appointing two independent directors. which of the following is not a reason why elon musk is perceived to have significant power over tesla's board? 1. he is the founder of the firm and a successful entrepreneur, thus board members may be hesitant to challenge him.2. as the ceo and chairman of the firm he can easily determine what the board should discuss and how it should vote on strategic issues.3. all board members, except for kimbal, have been appointed to the board during elon's tenure.4. many of the firm's directors are outsider investment managers whose interests would not be aligned with those of firms' shareholders.

Describe three scenarios in which you might utilize mathematics to investigate a crime scene, accident scene, or to make decisions involving police practice. be sure to explain how math is used in police as they work through each scenario.

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?