Numerade

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Determine whether the series \sum_(k=1)^(\infty ) ((-1)^(k))/(k(k+1)) is absolutely convergent, conditionally convergent, or divergent. Prove your answer carefully, citing and verifying the hypotheses of any theorems you use.

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Derek wants to be a millionaire (Account balance reaches $1,000,000) in 30 years. Suppose he can deposit his monthly saving in a savings account, earning an interest of 4% compounded weekly. How much does he have to save in the monthly deposit to achieve his goal

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a) Calculate the maximum kinetic energy (in J) of an ejected electron if a 450 nm photon strikes a piece of metal with a work function of 1.56 eV. b) What is the cutoff potential necessary to stop these electrons? Show all your work for full marks.

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What rate sets a floor for the federal funds rate? A. IORB rate B. ON RRP offereing rate C. Discount rate How does the discount rate serve as a ceiling for the federal funds rate? A. Banks should not be willing to pay higher than the discount rate when they borrow funds. B. Banks should not be willing to accept less than the discount rate when they deposit funds. C. Banks can borrow at the interest on reserve balances (IORB) rate and deposit at the discount rate if th ediscount rate drops too low.

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(1 point) Let x be a continuous random variable that has a distribution skewed to the right with $\mu$ = 110, and $\sigma$ = 10. Assuming n/N ? 0.05, find the probability that the sample mean, $\bar{x}$, for a random sample of 43 taken from this population will be a. less than 111.91. b. between 110.91 and 112.81. Note 1: Round your z values to 2 decimal places before looking them up in the table or using them in a calculator

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4. Evaluate the improper integrals (a) $ \int_{-\infty}^{\infty} \frac{\sin(x)\cos(x)}{1 + x^2} dx $ (b) $ \int_{1}^{\infty} \frac{e^{-\sqrt{x}}}{\sqrt{x}} dx $

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You are standing 10 m from a speaker that radiates uniformly in all directions. You then move so that the sound level drops by 15 dB. How far from the speaker are you standing?

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a) From which French word the word 'Envwronment' has been derived?

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3. Suppose that a risk averse individual has wealth I. She has the opportunity to invest some of her $I in a risky asset. The rate of return on the asset is uncertain. With probability p, the return is $r_1$ and so $1 invested in the asset would be worth 1+$r_1$. With probability 1-p, the return is $r_2$ and so $1 invested in the asset would be worth 1+$r_2$. Suppose that the expected rate of return on the asset is strictly positive. Let a be the number of dollars invested in this asset. a) Set up the expected utility maximization problem for this investor where the choice variable is a. Write the first order conditions for this problem. b) Show that $a = 0$ is NOT the solution to the problem. In other words, every risk inverse investor will want to invest some money in this asset.

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BEST MATCH

You rewrite the WaitOne and Release methods of the Semaphore Class so that five threads enter the Critical area at the same time. You just write the methods. You can use the Interlocked class. It is forbidden to use Lock, Monitor, and Mutex.

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laura j.