Consider the following statement. Having a large income is not a necessary condition for a person to be happy. Which of the following expresses the statement without using the words necessary or sufficient? (Recall that the negation of a ∀ statement is a ∃ statement and that the negation of an if-then statement is an and statement.) There is a person who does not have a large income and is happy. All persons who have a large income are happy. There is a person who has a large income and is happy. All persons who do not have a large income are not happy. There is a person who has a large income and is not happy.

Goals that are overly ambitious can discourage employees and decrease motivation, yet the idea of stretch goals is proposed as a way to get people fired up and motivated. as a manager, how might you decide where to draw the line between a “good” stretch goal and a “bad” one that is unrealistic?

Cool beans is a locally owned coffee shop that competes with two large coffee chains, planeteuro and frothies. alicia, the owner, hired two students to count the number of customers that entered each of the coffee shops to estimate what percent of people who are interested in coffee are visiting each shop. after a week, the students found the following results: 589 visited cool beans, 839 visited planeteuro, and 1,290 visited frothies. the students were surprised that cool beans had 139 visits on monday which represented 59% of all people who visited one of the three coffee shops on mondays. how many people visited one of the three coffee shops during the week?

Bond x is noncallable and has 20 years to maturity, a 7% annual coupon, and a $1,000 par value. your required return on bond x is 10%; if you buy it, you plan to hold it for 5 years. you (and the market) have expectations that in 5 years, the yield to maturity on a 15-year bond with similar risk will be 9.5%. how much should you be willing to pay for bond x today? (hint: you will need to know how much the bond will be worth at the end of 5 years.) do not round intermediate calculations. round your answer to the nearest cent.