find the first derivative with respect to x, of the following function using first principle f(x) = 6 + 5x - x^2

The market yield on spice grills' bonds is 15%, and the firm's marginal tax rate is 33%. what is their shareholders' required return if the equity risk premium is 4%?

Consider the following scenarios. use what you have learned to decide if the goods and services being provided are individual, public, or merit goods. for each case, state what kind of good has been described and explain your answer using the definitions of individual, public, and merit goods. (6 points each) 1. from your window, you can see a city block that's on fire. you watch city firefighters rescue people and battle the flames to save the buildings. 2. while visiting relatives, you learn that your cousins attend a nearby elementary school that is supported financially by local property tax revenue. 3. you see a squadron of military jets flying overhead. 4. you find out that your aunt works for a defense manufacturing company that has several defense contracts with the government. she tells you that she works for a team that is producing a communications satellite. 5. your class visits a local jail run by a private, profit-making company that detains county criminals and is paid with tax revenue.

Emily spent her summer vacation in buenos aires, argentina, where she got plastic surgery for a fraction of what it would cost in the united states. this is an example of: