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ammonia is a weak base that will react in water following the equation below. nh3 h2ox oh what is the chemical formula for the conjugate acid of nh3? If a company's sales for the year are $750,000, has average operating assets of $1,285,000, has a return on investment of 14%, and a minimum required rate of return of 12%, what is the residual income? $25,700 $570,100 $595,800 $90,000 Thank youEliminate the parameter t to find a Cartesian equation in the form x = f(y) for: [x(t) = 5t ly(t) = -2 + 5t The resulting equation can be written as x = Given the polynomial 9x2y6 25x4y8, rewrite as a product of polynomials. (9xy3 25x2y4)(xy3 + x2y4) (9xy3 25x2y4)(xy3 x2y4) (3xy3 5x2y4)(3xy3 + 5x2y4) (3xy3 5x2y4)(3xy3 5x2y4) which of the following are part of the gut flora? Harriett designed an artistic table top for her dining roomtable. Her sketch is shown below at a scale of 1 cm 6in.How much area will her dining room table top fill when it isbuilt?5 cm3 cmABCD3 cm14 cm9 cm432 sq. in.648 sq. in.864 sq. in.4 cm972 sq. in.5 cm-3 cmthere is also C. 864 sq in and D 972 sq in but it doesnt show If v = [4 3] and v= [-4 0] then are eigenvectors of a matrix A corresponding to the eigenvalues X= 2 and X2 = 1, respectively,then A(v + v): = and A(3v) = Identify and differentiate the two additionalcharacteristics of the behavior we labeled as performance.Essay Assume you have all your wealth (a million dollars) invested in the Vanguard 500 index fund and that you expect to earn an annual return of 12%, with a standard deviation in returns of 25%. You have become more risk averse, and so you decide to shift $200,000 form Vanguard 500 index fund to treasury bills. The treasury bill rate is 5%. Estimate the expected return and standard deviation of your new portfolio Your parents have a credit card with a balance of $3,287.90 at an interest rate of 14.5% APR. They pay $1,200.00 each month on the due date until the card is paid off. How many months does it take to pay off the card, and what is the total amount paid including interest?Be sure to include in your response: the answer to the original question the mathematical steps for solving the problem demonstrating mathematical reasoning For each probability and percentile problem, draw the picture. A random number generator picks a number from 1 to 8 in a uniform manner. Part (a) Give the distribution of X.Part (b) Part (c) Enter an exact number as an integer, fraction, or decimal. f(x) = ____, where ____Part (d) Enter an exact number as an integer, fraction, or decimal. = ___Part (e) Round your answer to two decimal places. = ____Part (f) Enter an exact number as an integer, fraction, or decimal. P(3.75 < x < 7.25) = ____Part (g) Round your answer to two decimal places. P(x > 4.33) =____ Part (h) Enter an exact number as an integer, fraction, or decimal. P(x > 5 | x > 3) =____ Part (i) Find the 90th percentile. (Round your answer to one decimal place.) Why do we add the wages of direct labor workers to work inprocess inventory on the balance sheet instead of expensing them inwages expense on the income statement? Identify which of these methods can be used to distort a bar graph Select all that apply. A. stretching the vertical scale B. starting the vertical axis at a point other than the origin c. making the width of the bars proportional to their height Eighth graders Sienna and Jamal are working on a plan to help people experiencing homelessness in their community. They have talked with people in the community to gather the information they need to create a proposal. Now they want to talk to local government officials. What would be the most likely reason to take this step? When solving a linear system of equations, you are looking for which of the following? Many choice: In which of the following places would you find fibrocartilage?An intervertebral joint, The joint at the pubic symphysis, The knee find all solutions of the given equation. (enter your answers as a comma-separated list. let k be any integer. round terms to two decimal places where appropriate.) sec2() 4 = 0 Consider the following regression model: vi = a +Ba+u. where the error term u has mean zero and variance o2, and u is independently distributed of z. You are told that both y; and are subject to the same measurement error w. Instead of observing ((,)}, you are given a random sample {(1,)}where: y = y + wi, and x = x + w. The measurement error w, has zero mean, and is assumed to be distributed independently of u, x, and y which assumption about level of measurement is made for the chi square test? Consider a market with a risk-free security and a risky asset. Assume that investor is not a price-taker so that her trading moves the expected return of a risky security P as following:E(rP) =.08 - .05y,where y is a fraction of her complete portfolio (in decimals) invested in the risky security. (It follows that if an investor buys more of the risky security, its price increases and the expected return decreases.) Assume that risk-free rate, rf, is 2%, P is 25% and does not change when an investor trades, and the coefficient of risk aversion of an investor is 2. (5 MARKS) Find the optimal fraction of the complete portfolio allocated to the risky asset P by the investor? Hint: you can follow the steps we did in the class in deriving y*a. y =0.46b. y =0.61c. y =0.33d. y =0.27e. y =0.50