A flashlight needs two batteries to be operational. consider such a flashlight along with a set of n functional batteries—battery 1, battery 2, . . . , battery n. initially, battery 1 and 2 are installed. whenever a battery fails, it is immediately replaced by the lowest numbered functional battery that has not yet been put in use. suppose that the lifetimes of the different batteries are independent exponential random variables each having rate μ. at a random time, call it t, a battery will fail and our stockpile will be empty. at that moment exactly one of the batteries—which we call battery x—will not yet have failed.

Elon musk is the ceo of tesla motors. musk also serves as chairman of tesla's board. according to corporate governance theory, which of the following is a logical reason why musk should serve on the board? 1. he serves on many other boards, including that of a major client of tesla.2. his is an independent director who is well positioned to monitor the company's management.3. he can easily fire board members that are shirking their duties.4. he can provide the board with valuable inside information about the firm and the industry.

73. calculate the weighted average cost of capital (wacc) based on the following information: the equity multiplier is 1.66; the interest rate on debt is 13%; the required return to equity holders is 22%; and the tax rate is 35%. (a) 15.6% (b) 16.0% (c) 15.0% (d) 16.6% (e) none of the above

Employees at a library check out books to patrons. books have an isbn and a name. the library sometimes has multiple copies of the same book. books have one or more authors. a patron is an individual who has an active (non-expired) library card. for each library card, we store the person's first and last names and their address. for each employee, we store their employee id, current salary, first and last name and their address. we also store the employee id of their current manager. each time we check out a book to a patron we need to store the date of the transaction, the employee who checked out the book to the patron, and the library card of the patron. some employees have library cards. if an employee patron turns in a book late, the fine that they pay is a percentage of their salary. some employees are authors who have library cards—they are allowed to check out as many books as they like.