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How many moles are there in 10.0 g of CO₂ gas (M = 44.0 g/mol)? 0. 555 mol 1. 335 mol O 0.125 mol 2. 227 mol

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1.(a)Consider the function y = 2x² + 4x1 + 31² Calculate the second order cross partial derivatives and show that it satisfy the identity Fij = Fji (b)If the demand function of Corn is given by P(x) = 576 - 3x² where p is price of a kilogram in thousands of Naira. Calculate the price elasticity of demand and interpret it? 2. Use the method of Laplace expansion to calculate the determinant of the matrix L and K below; and using empirical examples justify the importance of matrix algebra to economic :lysis 5 0 1 3 (b) K = 24 14 0 4 2 6 0 10 16 6 3 0 1 5 12 14 0 0 1 4 2 3 A. Find the equilibrium level of national income in the following; C = 0.87(Y - T) I = 300 - 1500i + 0.03Y io = 0.02, T = 200, G = 250 (B) Find the MPC, APC, savings function, MPS and APS. Also evaluate each of these assuming that NNP = 2000 when C = 0.86Y 4. A The consumption function is given by C = 200 + 0.89(Y - T); the investment function by /1 = 700 - 3000i + 0.01Y; government expenditures by G = 280; taxes by T = 200; the transactions demand money by M, = -3P 7; the speculative demand for money by 11 = 160 - 1000i; the price index by Po = 1.20; and the money Supply by Mo = 3480. Find the equilibrium rate of interest and level of national income. B Find the consumption and investment multiplier, by how much will national income changes if consumption decreases by 20? 5 A Find the equilibrium level of national income for any time period and, also trace the Time path of income. Cl = 0.9 10.3Y + 200; YO = 1400 B Expand the following differences: DY+1, DY

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Blossom Discount Retail Company is considering investing in an annuity contract that will return $79,000 annually at the end of each year for 15 years. What amount should Blossom Company pay for this investment if it earns an 6% return? (For calculation purposes, use 5 decimal places as displayed in the factor table provided. Round answer to 2 decimal places, e.g. 52.75.) Click here to view Table 4. Blossom Company pay for investment $

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Laboratory Test Value Reference Range Hgb 13 g/dL 10-17 g/dL Hct White blood cells Platelets Sodium Potassium Chloride Glucose BUN Creatinine Reference Range 10-173/dL nPSEL 6296 6980/mm3 215.00 mm3 156 mEq/L 5.2 mEq/L 95 mEq/L 85 mg/dL 20 mg/dL 0.3 mg/dL 6.200-17.000/mm3 200.000-475.000/mm3 134-150 mEq/L 4.1-5.3 mEq/L 90-110 mEq/L 40-90 mg/dL 5.18 mg/dL 0.1-0.4 mg/dL PH 7.27 PcO2 23 mm Hg HCO3 14 mEq/L SaO2 88% ABG interpretation 7.32-7.49 26.41 mmHg 16-24 mEq/L 40-90% Metabolic acidosis partially compensated Chest x-ray impression enlarged cardiac ventricles and fluid in the lower lobes of the lungs bilaterally Which of the following prescriptions should the nurse anticipate (Select all that apply.) Continuous pulse oximetry and telemetry Placement of a peripheral intravenous (IV) catheter Placement of a nasogastric tube Humidify oxygen Blood pressures of all four extremities Accurate recording of intake and output

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Determine the margin of error for a confidence interval to estimate the population mean with $n = 21$ and $s = 11.1$ for the confidence levels below.\ a) 80%\ b) 90%\ c) 99%

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Q1) Prepare the first row of a loan amortization schedule based on the following information. The loan amount is for $40,314 with an annual interest rate of 14.00%. The loan will be repaid over 37 years with monthly payments. a) What is the Loan Payment? b) What portion of this payment is Interest? c) What portion of this payment is Principal? d) What is the Loan balance after first monthly payment? Q2) What is the most you would be willing to pay for a investment that will pay you $156 in one year, $970, in two years, and $971 in three years, if your required rate of return for this type of investment is 22.00% ?

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Sales Budget Peyton Approved Sales Budgets July, August, and September 2015 Budgeted Units Budgeted Unit Price Budgeted Total Dollars Jul-15 Aug-15 Sep-15 Total for the first quarter Production Budget Peyton Approved Production Budget July, August, and September 2015 July August Sept. Total Next month's budgeted sales Percentage of inventory to future sales Budgeted ending inventory Add budgeted sales Required units to be produced Deduct beginning inventory (Previous month ending inventory) Units to be produced Manufacturing Budget - contains raw materials budget, direct labor budget, and factory overhead budget Peyton Approved Raw Materials Budget July, August, and September 2015 July August Sept. Total Production budget (units) Materials requirement per unit Materials needed for production Add budgeted ending inventory Total materials requirements (units) Deduct beginning inventory (previous month ending inventory) Materials to be purchased Material price per unit Total cost of direct material purchases Peyton Approved Direct Labor Budget July, August, and September 2015 July August Sept. Total Budgeted production (units) Labor requirements per unit (hours) Total labor hours needed Labor rate (per hour) Labor dollars Peyton Approved Factory Overhead Budget July, August, and September 2015 July August Sept. Total Budgeted production (units) Variable factory overhead rate Budgeted variable overhead Fixed overhead Budgeted total overhead Selling Expense Budget Peyton Approved Selling Expense Budget July, August, and September 2015 July August Sept. Total Budgeted sales Sales commission percent Sales commissions expense Sales salaries Total selling expenses General and Administrative Expense Budget Peyton Approved General and Administrative Expense Budget July, August, and September 2015 July August Sept. Total Salaries Interest on long-term note Total expenses

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Roger donated a $100,000 piece of art to a museum for $50,000 cash. His basis was $9,000. What is the effect on his tax return?

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1. Add the following expression. a. 2x + 3y - 4z; -3x - 8y - 3z; 5x\textsuperscript{2}y - 4y + 6z

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Kéo th? bi?u th?c thích h?p vào ô tr?ng. Cho hai ?a th?c $M = -4x^3 + 2y^3$ và $N = -9x^3 - 8y^3$. a) $M + N =$ b) $M - N =$ c) $N - M =$ $-13x^3 - 6y^3$ $-5x^3 - 10y^3$ $5x^3 + 10y^3$ $13x^3 + 6y^3$

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andrea m.