solve by using Laplace Transform y"-10y'+9y=5t, y(0)=-1, y'(0)=2
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- Using rstudio please answer this questionChrome File DO → C Gmail Edit Home - myRCC View ! 7 History Q Male mylearning.suny.edu/d21/le/content/920969/viewContent/25846500/View Female Bookmarks Giving a test to a group of students, the grades and gender are summarized below A X 6 12 B.2 HW-23FA STATISTICS (81 X B C 2 13 7 15 Total 19 19 25 Profiles Tab Window Help 10 3 If one student is chosen at random, Submit Question Find the probability that the student was female: Total # 28 Find the probability that the student was male AND got a "B": 3 Find the probability that the student was female OR got an "C": 35 If one student is chosen at random, find the probability that the student was male GIVEN they got a 'C': 63 E + $ 4 R % 5 6 SEP 25 Y ∞ Ka 8Suppose you are the marketing manager of a firm, and you plan to introduce a new product to the market. You have to estimate the first year net profit, which depends on several variables • Sales volume (in units) • Price per unit • Unit cost . Fixed costs Your net profit is net profit = sales volume x (price per unit-unit cost) - fixed cost The fixed cost is $120, 000, but other factors have some uncertainty. Based on your market research, there are equal chance that the market will be slow, ok, or hot. • Slow market the sales volume follows Poisson distribution with mean 50,000 units product, and the average price per unit is $11.00 ● Ok market the sales volume follows Poisson distribution with mean 75,000 units product, the average price per unit is $10.00 Hot market: the sales volume follows Poisson distribution with mean 100,000 units product, but the competition is severe so you expect the average price per unit is just $8.00 No matter what the market type is, your average unit…
- Linear Modeling 1. Some phone apps measure the number of steps taken during a period of time. John downloaded an app that reported data in a table like this: Time Steps Steps taken taken (minutes) 600 4000 20 2400 25 3000 4200 3000 35 2000 1000 10 20 30 40 Minutes (a) What are the variables of the problem? Identify independent and/or dependent variables of the problem if any. (b) Use the information from the table to graph the number of steps that John has taken over time. Connect the points on your graph. Does this curve or is it a line? (c) Explain why the graph tells you that John is walking at a constant pace. МacВook Air DII DD 80 F10 F9 F6 F7 F8 F5 F2 F3 F4 & 23 2$ 3 4 5 6. 7 8 9. E R Y U F H J K L. * 00Mathematical Modeling subject.eBook Show Me How Question Content Area Income Statements under Absorption Costing and Variable Costing Gallatin County Motors Inc. assembles and sells snowmobile engines. The company began operations on July 1 and operated at 100% of capacity during the first month. The following data summarize the results for July: Sales (4,000 units) $2,600,000 Production costs (4,350 units): Direct materials $1,218,000 Direct labor 522,000 Variable factory overhead 87,000 Fixed factory overhead 130,500 1,957,500 Selling and administrative expenses: Variable selling and administrative expenses $60,000 Fixed selling and administrative expenses 25,000 85,000 Question Content Area a. Prepare an income statement according to the absorption costing concept. Gallatin County Motors Inc.Absorption Costing Income StatementFor the Month Ended July 31 $Sales Cost of goods sold $Gross profit Selling and…
- Year Governmenttax revenues(billions of dollars) Governmentexpenditures(billions of dollars) 1 240 240 2 250 245 3 260 255 4 300 320 5 325 340 What is the amount of the surplus or deficit incurred in year 1 by the government shown in the above table? Group of answer choices $0 $25 billion deficit $25 billion surplus $240 billion surplus*NEED HELP WITH 1, 2, and 3*DYNAMIC INVENTORY MODELSPLEASE WALK THROUGH WITH EXCEL IF POSSIBLE, PLEASE!Mohawk Industries builds transmissions for a large automobile manufacturer. One of its transmissionassemblies requires part #HD234, purchased from a supplier within the same industrial park. Because ofthe close proximity of its supplier, the lead me for part #HD234 is negligible.The demand for part #HD234 varies according to the orders received from the automobile manufacturer.The requirements schedule for the next 10 periods is shown below: Period 1 2 3 4 5 6 7 8 9 10 Total Demand 115 50 175 95 150 225 75 70 40 20 1,015 This requirements schedule is considered fairly typical. Furthermore, the cost of placing an order with anearby supplier is $85.00, the purchase cost is $65.00, and the holding cost fracon is 0.01 per period.Mohawk is in the process of assessing different lot-sizing policies. It is interested in several that havebeen suggested.Before it can decide among them,…