6. The Motion Picture Association of America reports a drop-off of video disc sales. The data inthe table below shows consumer spending on video discs (DVD, Blue-ray, and UltraHDBlu-ray) in the United States in the years 2015-2018.YearConsumer Spending on video discs(in billions of dollars)20159.120168.020176.820185.8(a) What was the average rate of change in consumer spending from 2015 to 2018? (Besure to include units.)(b) Use the average rate of change calculated above to predict consumer spending on videodiscs in 2020?

Given: Let us determine the following data in the table below shows consumer spending on video discs…

Answered: 6. The Motion Picture Association of…

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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The following table shows timber stumpage prices for pine pulpwood in two regions of the American South. Prices are in dollars per ton and were recorded at the start of the indicated year. Year Region 1 Region 2 2002 6.30 4.00 2005 7.50 6.70 2007 7.00 9.00 (a) For Region 2, what is the average rate of change per year in price from 2002 to 2005?(b) Use your answer to part (a) to estimate the price in Region 2 at the start of 2004. (The actual price was $6.40 per ton.)(c) For Region 1, what is the average rate of change per year in price from 2005 to 2007?(d) Use your answer to part (c) to estimate the price in Region 1 at the start of 2008.(e) For each region, find the percentage increase in price from 2002 to 2007. (Round your answers to one decimal place.) Region 1 % Region 2 % (f) On the basis of your answer to part (e), in the absence of other factors, would an investor in timber be better advised to choose Region 1 or Region 2? Region 1Region 2
5 Quarterly data from 1960Q1 to 2009Q4, stored in the file consumptn.dat, were used to estimate the following relationship between growth in consumption of consumer durables in the U.S. (DURGWTH) and growth in personal disposable income (INCGWTH); DURGWTHt = 0.0103 - 0.163 DURGWTHt-1 + 0.7422 INCGWTHt + 0.3479 INCGWTH t-1 Given that DURGWTH 2009Q4 = 0.1, INCGWTH 2009Q4 = 0.9, INCGWTH 2010 Q1= 0.6, and INCGWTH 2010 Q2= 0.8, forecast DURGWTH for 2010Q1 and 2010Q2
Is the geometric mean the measure of central tendency which can be used to compute the average rate of growth? True or false
The following table shows the daily receipts in millions of dollars of the movie "The Hunger Games" after its opening on 23 March 2012. Days $Receipts 0 152.535 14 33.111 28 14.666 42 5.587 56 2.95 70 1.567 84 0.852 98 0.397 112 0.279 126 0.518 Estimate the instantaneous rate of change of the daily receipts on day 70.
Suppose we have the following returns for large-company stocks and Treasury bills over a six-year period: Year Large-Company US Treasury Bill 1 3.97 6.59 2 14.34 4.42 3 19.23 4.29 4 −14.45 7.32 5 −31.94 5.28 6 37.47 5.38 a. Calculate the arithmetic average returns for large-company stocks and T-bills over this time period. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. Calculate the standard deviation of the returns for large-company stocks and T-bills over this time period. (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) c-1. Calculate the observed risk premium in each year for the large-company stocks versus the T-bills. What was the arithmetic average risk premium over this period? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answer…
John Kittle, an independent insurance agent, uses a five-year moving average to forecast the number of claims made in a single year for one of the large insurance companies he sells for. He has just discovered that a clerk in his employ incorrectly entered the number of claims made four years ago as 1,400 when it should have been 1,200.a. What adjustment should Mr. Kittle make in next year’s forecast to take into account the corrected value of the number of claims four years ago?b. Suppose that Mr. Kittle used simple exponential smoothing with a = .2instead of moving averages to determine his forecast. What adjustment is now required in next year’s forecast? (Note that you do not need to know the value of the forecast for next year in order to solve this problem.)
The following data are taken from recent financial statements of Nike, Inc. (NKE) (in millions): Year 2 Year 1 Revenues (sales) $32,376 $30,601 Operating income 4,502 4,175 a. Determine the amount of change (in millions) and percent of change in operating income from Year 1 to Year 2. Round to one decimal place. Operating income $fill in the blank 1 fill in the blank 2% b. Determine the percentage relationship between operating income and sales for Year 2 and Year 1. Round to one decimal place. Year 1 fill in the blank Year 2 fill in the blank
4. Consider the following data. Period 1 rate of return -6.0. Period 2 rate of return -8.0. Period 3 rate of return -4.0. Period 4 rate of return 2.0. Period 5 rate of return 5.4. What is the mean growth rate over these five periods?
According to a high-profile realtor, houses in the sleepy town of Sun Beach have shown higher appreciation over the past three years than have houses in the bustling town of North Arden. To test the realtor's claim, an economist has found eight recently sold homes in Sun Beach and eight recently sold homes in North Arden that were owned for exactly three years. The following table gives the appreciation (expressed as a percentage increase) for each of the sixteen houses. Appreciation rates in percent Sun Beach 10.2, 9.7, 12, 10.4, 7.9, 10.9, 9.6, 13.3 North Arden 7.5, 12.8, 5.9, 8.5, 8.1, 9.3, 6.3, 13.4 Assume that the two populations of appreciation rates are normally distributed and that the population variances are equal. Can we conclude, at the 0.05 level of significance, that houses in Sun Beach have higher appreciation over the past three years than houses in North Arden? Perform a one-tailed test. The null hypothesis: H0:…
Table 1. DEMOGRAPHY OF COUNTRY X 2020 2018 2015 Total population 109,035,343 100,981,437 92,337,852 Average annual population growth rate 1.63 (2015- 2020) 1.72 (2010- 2015) 1.90 (2000- 2010) Population density (persons per square kilometer) 363 337 308 Births (Based on civil registration) Male 990,390 750,871 632,870 Female 952,126 972,802 487,798 Deaths (Based on civil registration) Timely 506,530 509,762 473,987 Late 106,820 110,382 116,803 2012 2009 2005 Total population by sex 102,303,977 93,114,333 89,088,544 Male 51,962,069 46,257,634 44,788,757 Female 50,341,908 46,856,699 44,299,787 Proportion of total population by sex Male 50.79 49.68 50.27 Female 49.21 50.32 49.73 Total population by age group 0-4 years 10,931,818 10,784,233 10,656,575 0-14 years 32,793,155 30,937,734…
Find out the next month after april income by using the forecasting method of the moving average method
Suppose the table below gives the average tuition and fees at 2-year and 4-year state schools in a particular state. Values are adjusted to 2019 dollars. Academic Year 4-year state school 2-year state school 2005-06 $5,904 $2,661 2006-07 $6,066 $2,539 2007-08 $6,289 $2,604 2008-09 $7,222 $2,901 2009-10 $7,738 $3,065 2010-11 $8,035 $3,117 2011-12 $8,154 $3,108 2012-13 $8,497 $3,075 2013-14 $8,578 $3,025 2014-15 $9,390 $3,326 2015-16 $10,004 $3,504 2016-17 $10,474 $3,663 2017-18 $10,789 $3,830 2018-19 $10,874 $3,859 2019-20 $10,900 $3,907 Here is a graph of the information from the table. a. What is the absolute change in tuition and fees at this state's four-year institutions from 2005-06 to 2019-20? b. What is the relative change in tuition and fees at this state's four-year institutions from 2005-06 to 2019-20? Round to the nearest whole percentage…

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