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During its first year of operations, Sheridan Corporation had these transactions pertaining to its common stock. Jan. 10 Issued 26,700 shares for cash at $4 per share. July 1 Issued 58,500 shares for cash at $7 per share. (a) Prepare a tabular summary to record the transactions, assuming that the common stock has a par value of $4 per share. Include margin explanations for the changes in revenues and expenses. (If a transaction causes a decrease in Assets, Liabilities or Stockholders' Equity, place a negative sign (or parentheses) in front of the amount entered for the particular Asset, Liability or Equity item that was reduced.) Assets = Liabilities + Paid-in-Capital Cash = + Common Stock + PIC in Excess o Com Jan. 10 $ $ $ $ July 1 $ $ $ $

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A 10-meter long wire is attached to an anchor on the ground and to the top of a vertical pillar. If the wire is inclined at \( 45^{\circ} \) to the horizontal, calculate the height of the pillar. Round to the nearest meter. The height of the pillar \( \approx \) \( \square \) m.

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True or false For each statement, decide whether it is true or false. If true, give a proof. If false, give a counter-example. If A and B both are orthogonal 2 imes 2 matrices, then so is AB.

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The following equation has two different solutions. Solve the equation and place one solution in each answer box. The LARGER answer goes in Box1. The SMALLER solution should go in Box2. Solve for $x$: $x^2 + 13x + 40 = 0$ Box1 (Larger Solution): Box2 (Smaller Solution):

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Spot Forward Rate for 4/15/23 Rate Delivery of Canadian Dollars November 15, 2022 $0.685 December 31, 2022 0.745 March 01, 2023 0.7 April 15, 2023 0.72 $0.675 0.73 0.695 0.72 On November 15, 2022, a U.S. company receives an order from a Canadian customer for merchandise priced at C$ 800,000 On the same date, the company enters a forward contract locking in the U.S. dollar amount to be received from the customer, for delivery on April 15, 2023. The forward qualifies as a hedge of the firm commitment. The company delivers the merchandise on March 1, 2023, and on April 15, 2023, payment of C$ 800,000 is received from the customer and the forward contract is closed. What is the net exchange gain or loss for 2022 and 2023?

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For a steady two-dimensional flow field as shown below determine whether the flow is incompressible and/or irrotational. Please construct the strain rate tensor for the flow and please write the difference between irrotationality and incompressibility for a fluid (10 points). \vec{V} = (\vec{u}, \vec{v}) = (1+2x)\vec{i} + (3-2y)\vec{j}

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Question 6 (Mandatory) (6 points) Which of the following tests has the biggest power? Denote \alpha as Type I error and \beta as the Type II error. $\alpha$=0.10,$\beta$=0.11 $\alpha$=0.05,$\beta$=0.46 $\alpha$=0.01,$\beta$=0.34 $\alpha$=0.025,$\beta$=0.28

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Your rich aunt gives you a high school graduation present of $70,000. Her present is in the form of a 17-year bond with an annual interest rate of 5.2% (compounded annually). The bond says that it will be worth $70,000 in 17 years. What is this gift worth at the present time? (Round your answer to the nearest cent.)

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Question 4 Write a Python program that uses For loop to read five integers, and for each integer prints whether it is a multiple of 3. Hint: n is a multiple of 3 when n % 3 == 0 Sample Run Enter number 1: 7 7 is NOT a multiple of 3 Enter number 2: 6 6 is a multiple of 3 Enter number 3: 9 9 is a multiple of 3 Enter number 4: 8 8 is NOT a multiple of 3 Enter number 5: 3 3 is a multiple of 3 (10 Marks - Input and convert: 3 marks | Loop: 2 marks | Condition: 3 marks | output: 2 marks)

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4. Suppose that the joint p.d.f. of two random variables X and Y is as follows: $f(x, y) = \begin{cases} c(x + y^2) & \text{for } 0 \le x \le 1 \text{ and } 0 \le y \le 1, \ 0 & \text{otherwise.} \end{cases}$ Determine (a) the conditional p.d.f. of X for every given value of Y, and (b) Pr(X < \frac{1}{2}|Y = \frac{1}{2}).

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