Numerade

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Given the series: \[ \sum_{k=1}^{\infty} \frac{1}{k(k+2)} \] does this series converge or diverge? diverges converges If the series converges, find the sum of the series: \[ \sum_{k=1}^{\infty} \frac{1}{k(k+2)}= \] $ \square $ (If the series diverges, just leave this second box blank.) Hint: Try breaking up the summand using partial fractions.

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why do airline companies increase fixed cost in hopes of achieving reduction to Total variable cost and hence lower total costs

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F * 2°F lear 1 1 2 3 4 5 D 6 7 A Z Match the term to the definition (from chap 11) 3 Syntactic Priming Syntax Lexical Priming Lexical Semantics Speech Segmentation Lexicon 1 point The ability to judge the truth or falsity of sentences involving high-prototypical members of a category. J $ Y Search B N 00 Σ (). K O P ㅅ I C

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BC-4 The path of a particle is given by $\frac{dx}{dt} = \sqrt{\sin t + 1}$ and $\frac{dy}{dt} = \cos(t^2)$ for $t \ge 0$. The position of the particle at $t = 2$ is $(-6, 4)$. (a) Find the velocity vector and the speed at $t = 1$. (b) Find the acceleration vector for any time $t \ge 0$. (c) Find the equation of the line tangent to the path of the particle at $t = 1$. (d) Find the total distance travelled by the particle from $t = 0$ to $t = 1$. (e) Find the first time, $t$, such that the path of the particle has a horizontal tangent. (f) In the time interval $0 < t < 6$, is the particle ever at rest? Explain.

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2. Given the function: $F(x) = \frac{x^2 - 6x}{4}$ 2a. Show that: $F'(x) = f(x)$ ($F(x)$ is the antiderivative of $f(x)$) (Hint: write $F(x)$ in the form: $F(x) = ax^2 + bx$, then find the derivative $F'(x)$ and compare to $f(x)$)

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Respond to Tianna's post: Apple could respond to the release of the new Samsung Galaxy in many ways. While watching and checking stats on the Galaxy to see consumers' reaction, Apple could release an iPhone with the same new updated features that the Galaxy has. Apple could compete with value by proposing higher utility around the same price. Apple could also offer different versions as sizes and colors of a new iPhone with similar features. Respond to Skye's post: If Samsung were to release a new version of the Galaxy, Apple could respond in many different ways. Apple could come out with a new iPhone with all the updates of the recent Galaxy and add a few new features to ensure more people would buy Apple. Apple could make their new phones smaller or touch screen flip phones. Apple would do anything to make their phone look more desirable than the Galaxy.

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Assume that, as of today, the annualized two-year interest rate is 13% and the one-year interest rate is 12%. Further assume that the liquidity premium on the two-year security is 0.3%. Use this information to estimate the one-year forward rate.\newline Write your answer in percentage terms and round your answer to two decimal places

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6. A 10 m long square bar of 316 stainless steel is bolted securely in place when its installation temperature was 21 $^\circ$C. What stresses would the bar experience if the service temperature reaches 28 $^\circ$C? What about 15 $^\circ$C? Note whether the forces are tensile of compressive. The young's modulus of the steel is 210 GPa and the coefficient of thermal expansion is 1.6 x $10^{-6}$ /$^\circ$C.

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The market is expected to yield 11.7%. The risk free rate is 2%. What is the expected return of a stock with a beta of 0.4? Please show your work on how you get this You want to create a portfolio with a beta of 1.8. You want to accomplish this goal by investing in a mutual fund that follows the market and in a stock with a beta of 2.3. Assuming you have $7,000 to invest, how much (in $) do you need to invest in the market fund? Please show work on how you get this The market is expected to yield 12% and the risk free rate is 2%. You currently hold a portfolio with a beta of 0.75 worth $19,000. You want to re-allocate your assets by investing in another portfolio with a beta of 2.9. How much will you have to invest in this new risky asset so that the resulting portfolio will have an expected return of 16%? HINT: the value of your porfolio will remain unchanged, you just take money away from one asset to add it to the other. answer in $ not in percentage. please show work on how you get this

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Sort the steps of this problem into the correct order. A Multiply above and below by $\sqrt{3}$ B $\frac{2 + \sqrt{2}}{\sqrt{3}}$ C Write down the question. D $\frac{2\sqrt{3} + \sqrt{6}}{3}$ E $\frac{2 + \sqrt{2}}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}}$

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jason m.