In Exercises 5–12, you are given a technology matrix A and an external demand
Trending nowThis is a popular solution!
Chapter 5 Solutions
Finite Mathematics and Applied Calculus (MindTap Course List)
- CS21.pdf 1 - 3 2.arrow_forwardIn Problems 27–34, determine whether the given function is linear, exponential, or neither. For those that are linear functions, find a linearfunction that models the data; for those that are exponential, find an exponential function that models the data.arrow_forwardThe Internal Revenue Service Restructuring and Reform Act (RRA) was signed into law by President Bill Clinton in 1998. A major objective of the RRA was to promote electronic filing of tax returns. The data in the table that follows show the percentage of individual income tax returns filed electronically for filing years 2000–2008. Since the percentage P of returns filed electronically depends on the filing year y and each input corresponds to exactly one output, the percentage of returns filed electronically is a function of the filing year;so P(y) represents the percentage of returns filed electronically for filing year y. (a) Find the average rate of change of the percentage of e-filed returns from 2000 to 2002. (b) Find the average rate of change of the percentage of e-filed returns from 2004 to 2006. (c) Find the average rate of change of the percentage of e-filed returns from 2006 to 2008. (d) What is happening to the average rate of change as time passes?arrow_forward
- National Debt The size of the total debt owed by the UnitedStates federal government continues to grow. In fact,according to the Department of the Treasury, the debt perperson living in the United States is approximately $53,000(or over $140,000 per U.S. household). The following datarepresent the U.S. debt for the years 2001–2014. Since thedebt D depends on the year y, and each input correspondsto exactly one output, the debt is a function of the year. SoD1y2 represents the debt for each year y. Source: www.treasurydirect.govDebt (billions Debt (billionsYear of dollars) Year of dollars)2001 5807 2008 10,0252002 6228 2009 11,9102003 6783 2010 13,5622004 7379 2011 14,7902005 7933 2012 16,0662006 8507 2013 16,7382007 9008 2014 17,824 (a) Plot the points 12001, 58072, 12002, 62282, and so on ina Cartesian plane.(b) Draw a line segment from the point 12001, 58072 to12006, 85072. What does the slope of this line segmentrepresent?(c) Find the average rate of change of the debt from 2002…arrow_forwardExercise 2 Part 5arrow_forwardConsider the basic macroeconomic model: Y=C+I and C = a + by where Y is GDP, C is consumtion and I is total investment (treated as fixed). a, b are positive parameters. Solve the model for Y in terms of I and the parameters.arrow_forward
- Section 2.6 1. Consider the production model x = Cx+d for an economy with two sectors, where =[0.6 0.5 0.2 and C 50 [30] (a) Determine the production level necessary to satisfy the final demand d. d = 1 (b) What is the production level to satisfy a final demand of (c) What is the production level to satisfy a final demand of 51 30arrow_forwardThis question has several parts that must be completed sequentially. The following table shows total military and arms trade expenditure for a certain country in 2000, 2006, and 2012. Year t (year since 2000) 0 6 12 Military Expenditure C(t)($ billion) 40 270 510 (a) Compute and interpret the average rate of change of C(t) over the period 2006–2012 (that is, [6, 12]). Be sure to state the units of measurement. (b) Compute and interpret the average rate of change of C(t) over the period [0, 12]. Be sure to state the units of measurement. Recall that the average rate of change of f(x) over the interval [a, b] is the change in f divided by the change in x. The symbol Δ means "change in." average rate of change of f = change in f change in x = Δf Δx = f(b) − f(a) b − a Note that the given chart provides data points in the form of (t, C(t)). Year t (year since 2000) 0 6 12 Military Expenditure C(t)($ billion) 40 270 510 In the…arrow_forwardRegression and Predictions. Exercises 13–28 use the same data sets as Exercises 13–28 in Section 10-1. In each case, find the regression equation, letting the first variable be the predictor (x) variable. Find the indicated predicted value by following the prediction procedure summarized in Figure 10-5 on page 493. Manatees Use the listed boat/manatee data. In a year not included in the data below, there were 970,000 registered pleasure boats in Florida. Find the best predicted number of manatee fatalities resulting from encounters with boats. Is the result reasonably close to 79, which was the actual number of manatee fatalities?arrow_forward
- J 2 Please Describe Age And Income variables.arrow_forwardQ1. The table provided gives data on indexes of output per hour (X) and real compensation per hour (Y) for the business and nonfarm business sectors of the U.S. economy for 1960–2005. The base year of the indexes is 1992 = 100 and the indexes are seasonally adjusted. a. Plot Y against X for the two sectors separately. b. What is the economic theory behind the relationship between the two variables? Does the scattergram support the theory? c. Estimate the OLS regression of Y on X. Note: on the table ( 1. Output refers to real gross domestic product in the sector. 2. Wages and salaries of employees plus employers’ contributions for social insurance and private benefit plans. 3. Hourly compensation divided by the consumer price index for all urban consumers for recent quarters.) Thank you!arrow_forward1.4 0.3 0 (I – A)-1 = 0.3 1.3 0.2 0 0 1.5 and assume that the external demand for the products in each of the sectors increases by 1 unit. By how many units should each sector increase production? sector 1 sector 2 sector 3arrow_forward
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning