To be able to walk to the center $c$ of a circular fountain, a repair crew places a 16-foot plank from $a$ to $b$ and then a 10-foot plank from $d$ to $c$, where $d$ is the midpoint of $\overline{ab}$ . what is the area of the circular base of the fountain?

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.

Select the correct answer. sarah works in a coffee house where she is responsible for keying in customer orders. a customer orders snacks and coffee, but later, cancels th snacks, saying she wants only coffee. at the end of the day, sarah finds that there is a mismatch in the snack items ordered. which term suggest data has been violated? a. security b. integrity c. adding d. reliability e. reporting

At a student café, there are equal numbers of two types of customers with the following values. the café owner cannot distinguish between the two types of students because many students without early classes arrive early anyway (i.e., she cannot price-discriminate). students with early classes students without early classes coffee 70 60 banana 51 101 the marginal cost of coffee is 10 and the marginal cost of a banana is 40. the café owner is considering three pricing strategies: 1. mixed bundling: price bundle of coffee and a banana for 161, or just a coffee for 70. 2. price separately: offer coffee at 60, price a banana at 101. 3. bundle only: coffee and a banana for 121. do not offer goods separately. assume that if the price of an item or bundle is no more than exactly equal to a student's willingness to pay, then the student will purchase the item or bundle. for simplicity, assume there is just one student with an early class, and one student without an early class. price strategy revenue from pricing strategy cost from pricing strategy profit from pricing strategy 1. mixed bundling $ $ $ 2. price separately $ $ $ 3. bundle only $ $ $ pricing strategy yields the highest profit for the café owner.