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Seton Company has issued 10,000 shares of $100 par value 8% noncumulative preferred stock and 100,000 shares of no-par value common stock. In the first year of operations, Seton declared and paid a $50,000 dividend. In the second year of operations, Seton declared and paid a $280,000 dividend. What was the dividend per common share in the second year?
Prove that an interior angle bisector of any triangle divides the side of the triangle opposite the angle into segments proportional to the adjacent sides.
Complex problems
There are 3 suspects, A, B, and C, for a robbery that presumably happened in a shop. We know that the following facts are true:
Determine the asymptotic stability of the system x' = Ax where. More specifically, what stability conclusion(s) can be drawn?
In each situation below, is it reasonable to use a binomial distribution for the random variable X? Give reasons for your answer in each case.
Find the volume V of water in the bowl. Consider two cases: one in which the ball is not completely submerged and the other in which it is.
As a business owner, there are many decisions that you need to make on a daily basis, such as ensuring you reach the highest production levels possible with your company's products. Your company produces two models of bicycles: Model A and Model B..
Find the probability of receiving a phone call during office hours between 12:00 p.m. and 5:00 p.m. You may assume phone calls are equally likely at any time of the day.
Find all the zeros of the function and write the polynomial as a product of linear factors. Use a graphing utility to graph the function as an aid in finding the zeros and as a check of your results. (If you have a computer algebra system, use it ..
Create a joint probability table
Evaluate double integral: (int from 0 to 1). (int from 0 to cos inverse y). [square root (1 + sin x) dx dy.
Let N be a positive integer. Let d be an integer relatively prime to phi(N) (phi denotes the euler totient function). Prove that there exists a d' in Z (=integers) with dd'=1 mod phi(N).
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