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Derek borrows $43,485.00 to buy a car. He will make monthly payments for 6 years. Th car loan has an interest rate of 5.56%. After a 16.00 months Derek decides to pay off hi car loan. How much must he give the bank?

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10. Consider the non-parallel lines $$ \begin{bmatrix} x \\ y \\ z \end{bmatrix} = \begin{bmatrix} 3 \\ 0 \\ 1 \end{bmatrix} + s \begin{bmatrix} 2 \\ 1 \\ -3 \end{bmatrix}. $$ and $$ \begin{bmatrix} x \\ y \\ z \end{bmatrix} = \begin{bmatrix} 1 \\ 1 \\ -1 \end{bmatrix} + t \begin{bmatrix} 1 \\ 0 \\ 1 \end{bmatrix}. $$ Find the shortest distance between these lines and find the points on the lines which are closest together.

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Question 15 2 pts For a typical human cell (T=37 °C) with a membrane potential of -0.060 V (inside negative), the concentrations of sodium ions are 12 mM in the cell and 145 mM in blood. Given that it takes two sodium ions to move one molecule of glucose via the sodium-glucose transporter, what is the $\Delta G$ for transport of glucose by the sodium-glucose transporter? less than -26.4 kJ/mole between -26.4 and -13.2 kJ/mole between -13.2 and 0 kJ/mole between 0 and 13.2 kJ/mole between 13.2 and 26.4 kJ/mole greater than 26.4 kJ/mole

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code class="asciimath">The equivalent weight of aspirin is 90 (i.e.( 180)/(2)=90). Hence each milliliter of 0.5N NaOH is equivalent to 45mg of aspirin.

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The risk of violence among mentally ill patients increases if specific symptoms such as present. hallucinations delusions both of these neither of these

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Problem \#1b (10 points) The stability of 17 36 Cl with respect to alpha, beta-plus and beta-minus decay is to be determined. The following atomic masses are known: \[ \begin{array}{l} { }_{2}^{4} \mathrm{He}: 4.002603 u \\ { }_{15}^{32} \mathrm{P}: 31.973907 u \\ { }_{16}^{36} \mathrm{~S}: 35.967081 u \\ { }^{36} \mathrm{Cl}: 35.968307 u \\ { }_{17}^{38} \mathrm{Ar}: 35.967546 u \\ { }_{8} \mathrm{~A} \end{array} \] Is the 17 36 Cl nucleus subject to beta-plus decay only, beta-minus decay only, beta-minus or betaplus, alpha-decay only, or none of these? Explain why. Show your work for full credit.

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Getting rid of unwanted calories through purging (i.e. vomiting, excessive laxative use, excessive exercise) can be a symptom of which of the following disorders?

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A 30-kg object on a frictionless horizontal surface oscillating on a spring that has a force constant equal to 2.5 kN/m has a total mechanical energy of 0.70 J. (a) What is the total mechanical energy? (b) What is the amplitude of the oscillation?

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The nominal exchange rate is about two airborne foreign per dollar if a basket of goods in the United States cost $40 how many Florence must a basket of goods in Aruba cost for purchasing power priority to hold

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Evaluate the integral.\\ $\int_0^2 \left(\frac{4}{5}t^3 - \frac{3}{4}t^2 + \frac{2}{5}t\right) dt$

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