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At the end of the current year, Accounts Receivanie has a balance of $445,000; Allowance for Doubtful Accounts has a debit balance of $4,000; and sales for the year total $2,000,000. Bad debt expense is estimated at 1/4 of 1% of sales a. Determine the amount of the adjusting entry for uncollectible accounts. 1. Find the Laplace transform of +3 + et sin(4t) 2. Find the Laplace transform of (t - 34 3. Find the Laplace transform of : te4t sin(2t) Suppose that the utility function is u(c, l) = log(c) l (a) Explain the intuition behind this utility function. Does the person likes consump- tion c? What about leisure l? (b) Find the equation of an indifference curve given a level of utility I. (c) Find the Marginal Rate of Substitution. (d) Show the optimal consumption-labor choice using a plot with c in the y-axis and l in the x-axis. (e) Find the optimal amount of consumption and leisure assuming that h = 1 and = T = 0. Determine the x-intercepts. Express your answers in exact form. a) y = x2 - 4x + 2 b) y = 2x2 + 8x + 1 Question 44 10 pts A marketer of a smartphone company wants to run a correlation using the survey questions below. Can you provide any advice for this marketer? (word limit: 100 words) Q1: Would you l List and briefly discuss 2-3 current concerns that are limiting the adoption of cryptocurrencies.What are the characteristics of disruptive technologies? Give an example of disruptive technology not discussed in the book. emaining: 2:27:02 I Question A line passes through the point (2, -6) and has a slope of 6. Write an equation for this line. what is the total displacement of the car after 5 h? responses 0 km 0 km 15 km 15 km 20 km 20 km 40 km Emily Ltd had the following ratios at 31 December 2020 and 31 December 2021: 2021 2020 Gross profit margin 28% 25% Trade payable days 44 days 40 days Trade receivable days 35 days 30 daysWhich ONE of the following statements is TRUE?a. E Ltd is paying its trade payables 4 days more quickly in 2021 than in 2020. b. The average length of time between goods being purchased and E Ltd paying for those goods, is 75 days in 2020, c. ELtd is collecting in its debts from customers more quickly in 2021 than in 2020.d. The gross profit margin made by E Ltd has increased from 2020 to 2021. The ultrasonic transducer used in a medical ultrasound imaging device is a very thin disk (m = 0.10 g) driven back and forth in SHM at 1.0 MHz by an electromagnetic coil.The maximum restoring force that can be applied to the disk without breaking it is 27,000 N. What is the maximum oscillation amplitude that won't rupture the disk?Part BWhat is the disk's maximum speed at this amplitude? a. Draw the morphological structure tree for the word: miscommunicationsb. Are there any inflectional affixes in the word above? If so, list them.c. Are there any derivational affixes in the word above? If so, list them.d. In the word above, what are the bases? List them. Let x be the number of courses for which a randomly selected student at a certain university is registered. The probability distribution of x appears in the following table X 1 2 3 4 5 6 7 p(x) 0.03 0.04 0.09 0.26 0.38 0.15 0.05 It can be easily verified that 4:57 and 1.27 (a) Because - 3.30, the x values 1, 2 and 3 are more than 1 standard deviation below the mean: What is the probability that is more than 1 standard deviatic mean? 0.16 (b) What x values are more than 2 standard deviations away from the mean value (either less than x - 20 or greater than + 20) (select all that apply.) 4 SS 6 X (c) Wisat is the probability that is more than 2 Standard deviations away from its mean value? 0.03 Given f'(-1) = 2 and f(-1) = 4. Find f'(x) = _____and find f(1) = ____ Determine the radius and interval of convergence of the following series... SERIES ANSWERS ) . (x-1)" R=1; ( 0,2) n+1 b) n*(x-2)" R=1; (13) n=0 (2x+1)" R=1; [-1,0] 11 R=2; (-2,2) (1)"n*(x+2)" 3" n=1 Romberg integration for approximating integral (x) dx gives Ry1 = 6 and Rzz = 6.28 then R11 = 2.15 0.35 4:53 5.16 Patrick Ross, the president of M & M Materials Company, has asked for information about the cost behavior of manufacturing overhead costs. Specifically, he wants to know how much overhead cost is fixed and how much is variable. The following data are the only records available:Month Machine-hours Overhead Costs February 1,870 $22,500 March 3,080 24,475 April 1,200 24,321 May 2,750 23,650 June 3,700 31,196Required: Using the high-low method, determine the MONTHLY overhead cost equation. (Use machine-hours as your cost driver.) One can perfect on a deposit account: Select one: a. only by filing a financing statement. b. only by taking possession. c. only by taking 'control' of it. d. by filing a financing statement or by taking 'control' of it. Solve the exponential equation: 4^(3x-5) = 9. Then round your answer to two-decimal places. Which of the following changes would impact net income but not cash inflow? a. A decrease in dividends b. A decrease in inventories c. An increase in accounts payable d. An increase in depreciation expense If 15.00 mL of a 1.00 M HCl solution is mixed with 25.00 mL of a 0.250 M NaOH solution in a process that produces 273 mg of NaCl, what is the percentage yield of NaCl?