What is the value of ( ( 131 ) 39 + 11 ⋅ ( − 11 ) ) mod 13 ?

x = 2 3 ⋅ 5 2 ⋅ 7 ⋅ 13 3 y = 2 2 ⋅ 5 ⋅ 7 2 ⋅ 17 What is the prime factorization for lcm(x, y)?

A fair coin is flipped three times. Events A and B are defined as: A: there are at least two consecutive heads somewhere in the sequence B: at least one flip comes up tails What is p(A | B)?

  QUESTION 5.4     Show all your calculations in the text block below.     You have a 50 cm ribbon. You use 14 and 3/4 cm to tie around a gift and 5 and 1/4 cm to make a bow. How much ribbon do you have left? (3)

  QUESTION 4.3     Read the following descriptions of shapes and name them: A 2-D shape with 5 equal sides [ans1] A 2-D shape with 6 unequal sides [ans2] (2)

  QUESTION 2.4     How many more items were collected by the team Zizi  than the Blue team team? (1)

  QUESTION 2.5     Order the teams in ascending order by using their names: (1)

S and T are binary relations on the set {a, b, c, d} and are defined as follows: S = { (a, b), (a, c), (b, d), (d, c) } T = { (b, b), (c, a), (c, d), (a, d) } Select the set corresponding to T ∘ S .

Austin Manufacturing is considering three independent projects that each require an initial investment of $1.50 million. The estimated internal rate of return (IRR) and cost of capital for these projects are presented here:   Project 1:  cost of capital = 13%, IRR = 16% Project 2: cost of capital = 10%, IRR = 11% Project 3: cost of capital = 16%, IRR = 20%   Assume that Austin Manufacturing only pursues positive net present value projects. The company’s optimal capital structure calls for 45% equity.  Austin expects to have net income of $3,000,000.   a. If Austin establishes its dividend from the residual dividend model, what will be its payout ratio?   b. What would be the payout ratio if net income were only $2,250,000?

Anderson Aeronautics will report a 2015 Net Income of $1,400,000   Prior to reporting this net income (and the rest of their income statement), the company wants to determine its annual dividend. The company has 125,000 shares of common stock outstanding, and its stock trades at $28 per share. The company had a 60% payout ratio in 2014.   a. If Anderson wants to maintain its 2014 payout ratio in 2015, what will be its per-share dividend in 2015?   b. The company reported net income of $1,800,000 million in 2014. Assume that the number of shares outstanding has remained constant. What was the company’s per-share dividend in 2014?   c. As an alternative to maintaining the same dividend payout ratio, Anderson is considering maintaining the same per-share dividend in 2015 that it paid in 2014. If it chooses this policy, what will be the company’s dividend payout ratio in 2015?   d. Which strategy, maintaining a constant dividend payout ratio or maintaining the same per-share dividend, will lead to higher retained earnings for the firm in 2015?   e. Assuming the firm can utilize the additional retained earnings to fund future investments, is the strategy in d advisable and why?