Numerade

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The engineering manager of Company A proposes to install an automated barcode scanner costing $4000. He estimates that he can save about 100 hours of labor time per month, as products can now be scanned much faster. He reasons that at the wage rate of $15 per hour, the benefit for using the automated barcode scanner is $1500 per month, and the scanner can be paid back in 2.67 months. As the president of Company A, do you agree or disagree with the way he computes the cost-benefit ratio? Why or why not?

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9. What transformations were applied to $f(x) = e^x$ to obtain the graph illustrated below? (Notes: the notation $f(x) \rightarrow g(x)$ indicates that the graph of $f$ gets replaced with the graph of $g$. The dotted line in the graph indicates an asymptote.) (A) $f(x) \rightarrow \frac{1}{2}f(x) - 3$ (B) $f(x) \rightarrow 2f(x) - 3$ (C) $f(x) \rightarrow 3 - 2f(x)$ (D) $f(x) \rightarrow \frac{1}{2}f(x) + 3$ (E) $f(x) \rightarrow 2f(x) + 3$

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3 Remal Corporation's total sales for 2023 were AED 900 million, and gross profit was AED 180 million, current assets AED 300, cash AED 15 million, accounts receivables 80 million and account payable 30 million. Calculate accounts payable days, collection period, inventory days and accounts payable turn over.

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If two segments of length 1 and $\alpha$ are given, give actual construction for the following lengths. You may assume that $\alpha > 1$. (a) $\frac{1+\alpha}{\alpha - 1}$. (b) $\alpha^3$.

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Consider the differential system \frac{d}{dt} \begin{pmatrix} x \\ y \end{pmatrix} = \begin{pmatrix} 1 & -e^t \\ e^t & 1 \end{pmatrix} \begin{pmatrix} x \\ y \end{pmatrix}. Show that $\begin{pmatrix} e^t \cos(e^t) \\ e^t \sin(e^t) \end{pmatrix}$ and $\begin{pmatrix} -e^t \sin(e^t) \\ e^t \cos(e^t) \end{pmatrix}$ are solutions to this system. Compute the natural fundamental matrix of this system associated with $t = 0$. Solve the initial-value problem for this system with $x(0) = 1$ and $y(0) = 1$.

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Justin's Toys sells radio-controlled helicopters from a kiosk in the mall. The helicopters sell for $60 each and cost Justin $25 each. The fixed costs are $5,250 per month. What quantity would Justin have to sell to meet a target operating income of $1,750? ? 200 ? 250 ? 150 ? 100

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(a) Calculate the current ratio for each of the following competing companies. (b) Which competitor is in the best position to pay its short-term obligations? Current assets............$79,040 104,880 45,080 85,680 61,000 Current liabilities.........$32,000 76,000 49,000 81,600 100,000

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3. The following circuit diagram shows an inverting amplifier. The value of R? is 12 ? and R? is 60 ?. If the input voltage (E<sub>in</sub>) is 4 V then what will be the output voltage (E<sub>out</sub>)? What does an inverting amplifier do?

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Maria a gastado 1/5 del dinero que le dieron sus padres para comprar 1 tapabocas y 1 frasco de alcohol que planea llevar a la escuela 1 de cloro; en la limpieza del aula de clases ha gastado 1/3 de litro¿que cantidad de cloro le queda?

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(25 points) Water and oil flow in horizontal pipelines into the page (with cross section of each pipeline shown as a circle in the figure). A double U-tube manometer is connected between the pipelines, as shown. The manometer fluid has a specific gravity, $S_1$=1.6. The oil in the pipeline has a specific gravity of $S_2$= 0.9. Recall that the specific gravity of air is zero. You may assume the specific gravity of water in the pipeline =1. The specific weight of water at 4°C = 9.81 kN/m$^3$. Calculate the pressure difference between the water pipe and the oil pipe.

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nicholas r.