Numerade

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[4] 3. Solve the following system of linear equations: $$ \begin{cases} \frac{x}{3} + \frac{2y}{9} = \frac{1}{9} \\ \frac{x}{2} + \frac{y}{8} = -\frac{1}{2} \end{cases} $$

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Mr. Director Non Executive Director 3% shareholding List co A Chief Executive Officer 0% shareholding Supplier Regular purchases for operating requirements Payments for goods 1. Is the proposed transaction: (a) a conflict of interest transaction; (b) a related party transaction; & (c) an Interested Person Transaction? 2. What must Mr. Director do to comply with Companies Act requirement? What must List co A do to comply with accounting rules and SGX Listing Rules?

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We need to first convert the probability P(x < 96 ) to a corresponding probability involving a z value. Recall we previously found that z = 3 when x = 96 find P(z < )

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\lim_()x^(3)=0Prove 40. $\lim_{x \to 0} x^3 = 0$

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In a symmetric bell-shaped distribution, about 99.5% of all potential values for $x$ lie between -1$\sigma$ and +1$\sigma$ of the mean $\mu$ -1.5$\sigma$ and +1.5$\sigma$ of the mean $\mu$ -2$\sigma$ and +2$\sigma$ of the mean $\mu$ -3$\sigma$ and +3$\sigma$ of the mean $\mu$

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On a fine sunny day, you and a friend decide to take a walk. Together, you walk 6.42 km due east at a constant speed of 1.61 m/s, and then turn around and walk back west at a constant speed of 0.569 m/s to a coffee shop that is 2.64 km from where you turned around. How far, in km, is the coffee shop from your home? (Report your answer with three significant digits.)

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What enzyme is responsible for translation? What type of template is used to provide information for translation?

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What is the future value of a 7-year ordinary annuity with annual payments of $477 if the appropriate rate for the calculations is 13%? Assume that the first period of the annuity begins one year from today.

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4) Do the part indicated in the table above. Let V be the vector space of polynomials over $\mathbb{R}$ of degree $\le 2$. Let $f_1, f_2, f_3$ be the linear functionals on V defined by a) $f_1(x(t)) = \int_0^2 x(t)dt, f_2(x(t)) = x(0), f_3(x(t)) = x'(2)$ b) $f_1(x(t)) = \int_0^1 x(t)dt, f_2(x(t)) = x(2), f_3(x(t)) = x'(1)$ c) $f_1(x(t)) = \int_0^3 x(t)dt, f_2(x(t)) = x(1), f_3(x(t)) = x'(0)$ Find the basis $\{x_1(t), x_2(t), x_3(t)\}$ of V that is dual to $\{f_1, f_2, f_3\}$.

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Jennifer K. is analyzing a project and has determined that the initial cost will be $1,519,000 and the required rate of return needs to be 14 percent. The project has a 60 percent chance of success and a 40 percent chance of failure. If the project fails, it will generate an annual after-tax cash flow of $261,000. If the project succeeds, the annual after-tax cash flow will be $684,000. She has further determined that if the project fails, she will shut it down after the first year and sell the equipment for the after-tax salvage value of $530,000. If however, the project is a success, she can expand it with no additional investment and increase the after-tax cash flow to $712,000 a year for Years 2-5. At the end of Year 5, the project would be terminated and have no salvage value. What is the expected net present value of this project at Time 0? $210,419.21 $176,737.63 $235,844.96 $229,842.11 $185,006.33

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pamela r.