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A neutral atom has the following electron configuration: $1s^2 2s^2 2p^6 3s^2 3p^6 3d^1 4s^2$ What is the chemical symbol for the atom? How many electrons does the atom have? How many $3d$ electrons are in the atom?

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Find a general solution of the system x'(t) = Ax(t) for the given matrix A. $$A = \begin{bmatrix} 6 & 10 \\ -4 & -6 \end{bmatrix}$$ Write the characteristic equation for the given matrix A. $$r^2 + 4 = 0$$ (Type an equation using r as the variable.) Find a general solution. x(t) = (Use parentheses to clearly denote the argument of each function. Do not use d, D, e, E, i, or I as arbitrary constants since these letters already have defined meanings.)

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6-28 a. What does it mean to approach an audit with an attitude of professional skepticism? b. What circumstances related to the accounting treatment of the vendor allowances should increase an auditor's professional skepticism? c. What factors might have caused the auditor to inappropriately accept the assertions by management that the vendor allowances should be reflected in the financial statements? d. Develop three probing questions related to the vendor allowances that the auditor should have asked in the audit of Just for Feet's financial statements.

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Which of the below reduces heart rate. Increased Norepinephrine release Increased acetylcholine release Increased parasympathetic stimulation Increased sympathetic stimulation b and c

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Determine the total resistance of the circuit if $R_1 = 30 \Omega$, $R_2 = 62 \Omega$, and $R_3 = 54 \Omega$

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Student 1 says that the restrictions of $ \frac{9(d-4)}{(d-7)(d+8)} $ are $ d \neq 4, d \neq 7 $, and $ d \neq-8 $ . Is Student 1 correct? Why?

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The Zico Company is one of the fastest growing telephone companies. It was started up by two ABS marketing students in the suburb of Belo Horizonte. Assume the following input the proforma model: Growth rate 5%, Tax rate 40%, Interest rate 10%, NWC/sales ratio 20%, Fixed assets /sales 40%, COGS/sales 75%, Payout ratio 1/3. Calculate the Required external financing for 2022 and 2023 by using the attached: Income Statement 2021 2022 2023 Revenue 3500 Cost of goods sold 3150 EBIT 350 Interest expense 100 Earnings before taxes 250 Taxes 100 Net income 150 Dividends 50 Retained earnings 100 Balance Sheet (year-end) Assets Net working capital 650 Fixed assets 1100 Total assets 1750

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What is the NPV of a project with the following cash flows: Year 0 1 2 3 Cash Flow - \$42,600 \$17,680 \$19,920 \$15,670 Assume the discount Rate is 15\% per year.

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Problem Set 3 - Lecture 9, 10, 11 Lecture 9: Oligopoly Consider the melon market example used in the class, assume the marginal cost of Firm 2 is $0.31, the marginal cost of Firm 1 is still $0.28. a. Under Cournot quantity competition, if Firm 2 believes that Firm 1 will produce q1, derive the profit function and the best-response function for Firm 2. b. Consider Stackelberg leader-follower competition. If Firm 1 is the leader and produces q1, derive the profit function of Firm 2 and the best-response function q2. c. Are the results in a. and b. the same? Why? d. Under Bertrand price competition, if Firm 1 sets the price P1 = 0.30, then how should Firm 2 respond, why? e. Under Cournot quantity competition, compute each firm's optimal output. f. Under Stackelberg leader-follower competition, compute the leader's optimal output.

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A thin uniform rod has a length of 0.550 m and is rotating in a circle on a frictionless table. The axis of rotation is perpendicular to the length of the rod at one end and is stationary. The rod has an angular velocity of 0.33 rad/s and a moment of inertia about the axis of $3.50 \times 10^{-3} \text{ kg} \cdot \text{m}^2$. A bug initially standing on the rod at the axis of rotation decides to crawl out to the other end of the rod. When the bug has reached the end of the rod and sits there, its tangential speed is 0.127 m/s. The bug can be treated as a point mass. Part A What is the mass of the rod? Express your answer with the appropriate units. $m_{rod} =$ Value Units Units input for part A Submit Request Answer Part B What is the mass of the bug? Express your answer with the appropriate units. $m_{bug} =$ Value Units Submit Request Answer

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kristen h.