In Exercises 5–12, you are given a technology matrix A and an external demand
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Chapter 5 Solutions
Finite Mathematics and Applied Calculus (MindTap Course List)
- In 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_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
- The 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_forwardSection 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_forwardCS21.pdf 1 - 3 2.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_forwardJ 2 Please Describe Age And Income variables.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
- LLENGE 6.4.1: Electricity. IVITY 82 2324162 qx3zay? Jump to level1 Jan's electric biltis averaging $10 per day mostly due to the air conditioner. By settng the AC to a highèr temperature, closing curtains to block sunlight, and using direct-blowing fans for comfort, Jan reduces the bill to $7 per day. How much did Jan reduce the electric bill for a 30-day month? Ex: 200 dollars 3 Check Next Feedback? etion? I6 91 Provide feedback ory for assianmont: AI 5. Roadings and Assianmonts Iduo Monl acer Carrow_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_forwardThe Capital Asset Price Model (CAPM) is a financial model that attempts to predict the rate of return on a financial instrument, such as a common stock, in such a way that it is linearly related to the rate of return on the overal market. Specifically, RStockAiBo + BR Markets + e You are to study the relationship between the two variables and estimate the above model: R StockAi-rate of return on Stock A for month i, i = 1,2,---, 59. RMarket-market rate of return for month i, i=1,2,..., 59. B₁ represent's the stocks 'beta' value, or its systematic risk. It measure's the stocks volatility related to the market volatility. Bo represents the risk-free interest rate. The data in the .csv file contains the data on the rate of return of a large energy company which will be referred to as Acme Oil and Gas and the corresponding rate of return on the Toronto Composite Index (TSE) for 59 randomly selected months. Therefore Re, represents the monthly rate of return for a common share of Acme Oil…arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage