Numerade

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How many moles of ions will be created when 6 mole(s) of HCl is put into water?

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*10. Assuming that the force of interest per annum at time t years will be ? = (p+s) - \frac{rse^{st}}{1+re^{st}} where p,r and s are constants, show that the present value of 1 due at time T years is $\left(\frac{1}{1+r}\right)e^{-(p+s)T} + \left(\frac{r}{1+r}\right)e^{-pT}$ Hence or otherwise find the present value of a annuity-certain of 1 per annum payable quarterly in arrear for 10 years when the above formula for ? holds with p = 0.09532, r = 2, and s = 0.08701. [Time estimate 30 minutes]

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Suppose you are given the equation X=15- 8Y. If Y is on the vertical axis and X is on the horizontal axis then what is the slope

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3. (2 pts) Explain why the equation $4x^3 - 6x^2 + 3x - 2 = 0$ has a root between 1 and 2.

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5. Normative and positive statements The following table presents statements analyzing policies regarding the minimum wage. Classify each of the listed statements as either positive or normative. Positive Normative Statement All Americans should earn more than $25,000 per year. ? Raising the minimum wage increases the rate of unemployment. ? ? The minimum wage should be raised to $15 per hour. ? ? Raising the minimum wage reduces the number of employment opportunities for low skilled workers. ? ?

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Approximate the normal probability with an error of less than 0.0001, where the probability is given by the following. (Use as few terms as possible. Round your answer to four decimal places.) $\int_a^b \frac{1}{\sqrt{2\pi}}e^{-x^2/2}dx$ $f(x) = \frac{1}{\sqrt{2\pi}}e^{-x^2/2}$ $\int_0^1 \frac{1}{\sqrt{2\pi}}e^{-x^2/2}dx$ $= \frac{1}{\sqrt{2\pi}} \sum_{n=0}^{\infty} (\qquad)$

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Mario is a fireman at your fire department. He contribute to his employer's retirement. saving plan throught regular payroll deduction. His contribution are tax deferred and so are his earning in the plan. Mario most likely participate in which of the type of employer-sponsored retirement plan

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10. [-/9 Points] DETAILS M14 2.5.035. MY NOTES PRACTICE ANOTHER A ball is kicked from a location (6, 0, -7) (on the ground) with initial velocity (-8, 17, -6) m/s. The ball's speed is low enough that air resistance is negligible. (a) What is the velocity of the ball 0.2 seconds after being kicked? (Use the Momentum Principle!) $\vec{v}$ = m/s (b) In this situation (constant force), which velocity will give the most accurate value for the location of the ball 0.2 seconds after it is kicked? $\circ$ the arithmetic average of the initial and final velocities $\circ$ the initial velocity of the ball $\circ$ the final velocity of the ball (c) What is the average velocity of the ball over this time interval? $\vec{v}_{avg}$ = m/s (d) Use the average velocity to find the location of the ball 0.2 seconds after being kicked. $\vec{r}$ = m Now consider a different time interval: the interval between the initial kick and the moment when the ball reaches its highest point. We want to find how long it takes for the ball to reach this point, and how high the ball goes. (e) What is the y-component of the ball's velocity at the instant when the ball reaches its highest point (the end of this time interval)? $v_{yf}$ = m/s (f) Fill in the missing numbers in the equation below (update form of the Momentum Principle: $m v_{yf} = m v_{yi} + F_{net, y} \Delta t$) m m + -mg$\Delta t$ (g) How long does it take for the ball to reach its highest point? $\Delta t$ = s (h) Knowing this time, first find the y-component of the average velocity during this time interval, then use it to find the maximum height attained by the ball. $y_{max}$ = m Now take a moment to reflect on the reasoning used to solve this problem. You should be able to do a similar problem on your own, without prompting. Note that the only equations needed were the Momentum Principle and the expression for the arithmetic average velocity. Additional Materials eBook

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Calculate moles of H in 61.18 grams of urea (NH$_2$)$_2$CO?

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4. Find the Laplace Transform of: \newline $f(x) = \sin(2x)\cos(2x)$. Show your solution for getting \newline the transformation.

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michelle b.