Solve the problem. 8) Use a graphing calculator to predict what income the company should expect in its seventh year of operation. Years of Operation 1 2 3 4 A) 2-3 million Annual Income (in millions) 0.2 0.6 1.1 1.9 B) 10-20 million C) 5-7 million D) 30-40 million

Solve the problem. 8) Use a graphing calculator to predict what income the company should expect in its seventh year of operation. Years of Operation 1 2 3 4 A) 2-3 million Annual Income (in millions) 0.2 0.6 1.1 1.9 B) 10-20 million C) 5-7 million D) 30-40 million

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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2. The local community hall is hired out at a rate of $20 per hour plus a fee of $60 for cleaning. (a) Write a formula relating total cost of hiring the hall to the number of hours required. Be sure to carefully define all variables that you use. (b) Complete the following table of values for the costs to hire the hall for the hours given Hours Required 1 2 3 4 Cost of Hall ($) (c) Plot the values from the table on a graph and draw a trend line. (d) Use your graph to determine the cost of hiring the hall for 4.5 hours. (e) If your group has only budgeted for a total of $130 for how long could they hire the hall?
B. The graph below show's Leslie's monthly budget. Leslie's Monthly Budget other savings 11% 10% rent entertainment 30% 9% food clothing 8% 15% car insurance 10% 7% Which of the following are not true about her budget? А. Leslie spends twice as much on rent as she does food. Leslie spends less on food than she does on insurance and clothing combined. If Leslie makes $4,500 per month, she will put over $450 into savings. If Leslie makes $3,000 per month, she will spend $210 on insurance. В. С. D.
2. The number of public branch libraries in the United States for several years is given in the table: Year Public Library Branches G500 1994 6223 1995 6172 1996 Branches 6205 1997 6332 1998 6435 a. Graph the data b. Find an equation for a model of these data. Year b. Using your model, estimate the number of branch libraries in 2000 c. Use the graph to estimate in what year(s) there are 6500 branch Libraries
The company has data on demand and factory capacity for the next 4 months as in the table. Unit cost with regular time $ 24, overtime cost $ 28, on subcontract $ 34. Storage costs $ 2 per unit per month; backorders cost $ 5 per unit per month. Initial inventory is as many as 120 units, and it is expected that by the end of July there will be an inventory of 100 units. April May June July Demand 460 450 480 480 Regular Capacity 370 370 380 380 Overtime Capacity 60 60 60 60 Subcontract Capacity 30 30 30 30 Use the transportation method to optimize the aggregate plan. Determine the production cost each month and the total cost for 4 months
Should this table be graphed as linear,quadratic or exponential?
8) Use a graphing calculator to predict what income the company should expect in its seventh year of operation. Years of Operation 1 A) 2-3 million 2 3 4 Annual Income (in millions) 0.2 0.6 1.1 1.9 B) 10-20 million C) 5-7 million D) 30-40 million
A certain city's power company charges their residents for electricity usage on a daily basis. There is a basic charge of 11.57 cents. For each day the first 10 kWh cost 4.81 cents per kWh and any additional kWhs are 9.69 per kWh. (A kWh, or kilowatt-hour, is a unit of energy.) (a) Complete the following table using the information provided above. kWhkWh 0 5 10 15 20 cost (dollars)cost (dollars) kWhkWh 25 30 35 40 cost (dollars)cost (dollars) (b) We can define a piecewise function f(x)f(x) where xx is the kWh used in a day and f(x)f(x) is the cost, in dollars. This function would have the form f(x)={g(x)h(x)ififx∈Ax∈Bf(x)={g(x)ifx∈Ah(x)ifx∈B What functions g(x)g(x) and h(x)h(x) make up the piecewise function f(x)f(x)? g(x)=g(x)= for A = h(x)=h(x)= for B = Hint: A and B are intervals. If an interval uses ±∞±∞ write inf or -inf . (c) Using the above function, what is the cost of 26 kWh? dollars. (d) For 3 dollars, what is the maximum kWh usage for one…
Two competing companies produce mobile phones. Company A starts production at 1000 phones per week and plans to increase output by 200 each week. Company B starts production with 500 phones per week and plans to increase output by 20% each week. (a) Calculate the weekly production in weeks 1; 5; 10; 15. Plot the graph of weekly output for each producer on the same diagram (use Excel, if available). Estimate the week in which the output is the same for both firms. (b) Calculate the total production during the first 15 weeks for each firm.
II.
Based on the following graph, what is the year when the largest decrease in GDP took place ? GDP (change YoY) 6% 5% 4% 4% 3% 3% 3% 3% 2% 2% 1% -1% -1% -8% 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010o 2011 2012 2013 2009 2001 2005 2007
An entrepreneur who owns and operates two businesses (A and B) would like to analyze their profitability. They would like your help in the analysis. They give you the annual net profit (in thousands of $) for each business from 2008-2020. Table 1: Annual Net Profits for Businesses A and B Business Year Profit Business Year Profit 2008 -50 2008 -10 2009 57 2009 30 2010 71 2010 27 2011 64 2011 22 2012 60 2012 21 2013 50 2013 20 A 2014 41 2014 24 2015 59 2015 24 2016 71 2016 32 2017 71 2017 36 2018 74 2018 37 019 81 20 40 2020 97 2020 49 a. Suppose you want to graph the distribution of profits. Explain why using only one stem- plot might not be optimal for the analysis. b. Describe the correct stemplot to use. Generate this stemplot. Explain your steps. What can you say about the distribution from this stemplot? c. When are stemplots useful? And why is that? d. Suppose that instead of having 26 observations you have 200 observations. What graph should you generate? e. What other type of…