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Bottled Water Sales Annual sales of bottled water in the United States in the period 2007–2014 could be approximated by
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Chapter 12 Solutions
Student Solutions Manual for Waner/Costenoble's Finite Math and Applied Calculus, 7th
- Sales of the Flying Flintmobile has been increasing over the past five years. The operations manager has estimated sales in 2017 to be 410 Flying Flintmobiles. Using exponential smoothing with a weight of α = 0.30, forecasts have been developed for 2017 through 2022. Year Sales Forecast 2016 450 N/A 2017 495 410 (given) 2018 518 (0.3 x 495)+(0.7 x 410) = 435.5 2019 563 (0.3x518)+(0.7x435.5) = 460.25 2020 584 (0.3x563)+(0.7x460.25) = 491.075 2021 (0.3x584)+(0.7x491.075) = 518.9525 1. Caution the manager on the limitations associated with your forecast.arrow_forwardSales of the Flying Flintmobile has been increasing over the past five years. The operations manager has estimated sales in 2017 to be 410 Flying Flintmobiles. Using exponential smoothing with a weight of α = 0.30, forecasts are developed for 2017 through 2022. Year Sales Forecast 2016 450 N/A 2017 495 410 (given) 2018 518 (0.3 x 495)+(0.7 x 410) = 435.5 2019 563 (0.3x518)+(0.7x435.5) = 460.25 2020 584 (0.3x563)+(0.7x460.25) = 491.075 2021 (0.3x584)+(0.7x491.075) = 518.9525 1. Advise Flying Flintmobile of the benefits associated with this method of forecasting.arrow_forwardt=0 corresponds to 2000 students enrolled t=15 corresponds to 9500 students enrolledarrow_forward
- Nn.105. Subject :- advance mathematicsarrow_forwardChina’s Shale-Natural Gas The estimated annualproduction of shale-natural gas in China for the years2013 through 2020, in billions of cubic feet, can bemodeled by y = 0.0131(1.725x), with x equal to thenumber of years x after 2010. In what year does themodel predict that the number of billions of cubicfeet of shale-natural gas in China will be 1.77?arrow_forwardThe numbers of polio cases in the world are shown in the table for various years. Year Number of Polio Cases (thousands) 1988 1992 1996 2000 2005 2007 f(t) Let f(t) be the number of polio cases in thousands t years since 1980. Use a graphing calculator to draw a scattergram of the data. Is it better to model the data by using a linear or exponential model? Select an answer ✓ Find an equation of f. Hint 350 138 34 5 3.2 1.3 Hint The number of polio cases is Select an answer Predict the number of polio cases in 2020. Round the coefficients to 4 decimal places. years by by Select an answe per year. Select an answe Predict in which year there will be 1 case of polio. Hint Find the approximate half-life of the number of polio cases. Hintarrow_forward
- Let' pretend that in an American city there were 2000 new cases on Monday which is a 12% decrease from two weeks ago. So it appears that new covid cases are going down (wahoo! with a two-week trend of -12%. Curious... how many new cases were there two weeks ago? (don't round for accuracy) c) Write a linear/exponential equation that models this situation (consistent with your choice above). Time is the explanatory variable, and New Covid Cases is the response variable. D. Explain what the slope/multiplier (consistent with your choice above) means in this context of the problem. Be sure to use units and to write a clear sentence. I need only parts C and D answered because I have already created a scatterplot based on the table. I have provided the information needed with images.arrow_forwardSuppose that in a logistic model the percentage growth rate G per year (in decimal form) as a function of N declines from G = 0.12 when N = 0 to G = 0 when N= 366. (a) What is the r value? r = (b) What is the carrying capacity? K = (c) At what value of N will there be a maximum growth rate? N = | Need Help? Read Itarrow_forwardEmployment. According to the U.S. Bureau of Labor Statistics, the number of professional services employees fluctuated during the period 2000-2009, as modeled by E(t) = -28.31t³ +381.86t² - 1162.07t + 16,905.87, where t is the number of years since 2000 (t = 0 corresponds to 2000) and E is thousands of employees. (Source: www.data.bls.gov.) Find the relative extrema of this function, and sketch the graph. Interpret the meaning of the relative extrema.arrow_forward
- solve part (d) pleasearrow_forwardMaria, a biologist is observing the growth pattern of a virus. She starts with 100 of the virus that grows at a rate of 10% per hour. She will check on the virus in 24 hours. How many viruses will she find?arrow_forwardTable 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to 2012. a. Let x represent time in years starting with x=0 for the year 1997. Let y represent the number of seals in thousands. Use logistic regression to fit a model to these data. b. Use the model to predict the seal population for the year 2020. c. To the nearest whole number, what is the limiting value of this model?arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage