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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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Student Solutions Manual for Waner/Costenoble's 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_forwardNn.105. Subject :- advance mathematicsarrow_forward
- China’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_forwarda scuba diver used her camera equipment to measure the intensity of light, in lux, as she dove into the lake. She compared her readings with the depth of water at each point. light intensity(lux) - 5.0, 4.0, 3.0, 2.0, 1.0 depth of water(m) - 2.3, 3.1, 4.0, 5.4, 7.7 (a) use logarithmic regression to model data, round all values to the nearest hundredth (b) At what depth, to the nearest tenth of a metre is the light intensity 3.6 lux (c) What is the light intensity at the surface, round to the nearest tentharrow_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
- 04 – 09-2021 x* dx = ? %3Darrow_forward4 The edge of the spaceship was hit by an asteroid. And due to that, there's a leakage in the fuel tank! Use the given graph to know the rate at which the fuel is leaking (liters per second). 60 55 50 45 40 35 %3D 30 25 20 15 10 0 1 2 4 8. Time (seconds) Fuel leakage (liters)arrow_forwardsolve part (d) pleasearrow_forward
- 7.8.7 d) in the early 1970s there were approximately 40,000 trees lining the streets of Newton. Today, that number is about 26,000-a 35% loss. The current annual rate of decline is about 650 trees per year. At this rate, if unchecked, public street trees would diminish to approximately 10,000 within a generation (25 years), and in 40 years, public street trees would no longer be part of the Newton landscape. a-c will be answered in the picture attached a) check the arithmetic that leads to the claimed "35% loss" b) check the arithmetic that leads to a "current annual rate of 650 trees per year". c) check the predictions in the last sentence. are they likely to come to pass? now, using the information in the paragraph and the questions + work shown, answer d) d) write the equation for the linear model implicit in this quotation (use years since 2012 as the independent variable). identify the slope and the intercept, with their units.arrow_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