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GE Net Income 2009–2013 The annual net income of General Electric for the period 2009–2013 could be approx- imated by
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Finite Mathematics and Applied Calculus (MindTap Course List)
- The file P02_26.xlsx lists sales (in millions of dollars) of Dell Computer during the period 1987–1997 (where year 1 corresponds to 1987). Year Sales 1 69 2 159 3 258 4 389 5 546 6 890 7 2014 8 2873 9 3475 10 5296 11 7759 a. Fit a power and an exponential trend curve to these data. Which fits the data better? b. Use your part a answer to predict 1999 sales for Dell. c. Use your part a answer to describe how the sales of Dell have grown from year to year.arrow_forwardWorld Military Expenditure The following chart shows total military and arms trade expenditure from 2011–2020 (t = 1 represents 2011). †A bar graph titled "World military expenditure" has a horizontal t-axis labeled "Year since 2010" and a vertical axis labeled "$ (billions)". The bar graph has 10 bars. Each bar is associated with a label and an approximate value as listed below. 1: 1,800 billion dollars 2: 1,775 billion dollars 3: 1,750 billion dollars 4: 1,730 billion dollars 5: 1,760 billion dollars 6: 1,760 billion dollars 7: 1,850 billion dollars 8: 1,900 billion dollars 9: 1,950 billion dollars 10: 1,980 billion dollars (a) If you want to model the expenditure figures with a function of the form f(t) = at2 + bt + c, would you expect the coefficient a to be positive or negative? Why? HINT [See "Features of a Parabola" in this section.] We would expect the coefficient to be positive because the curve is concave up. We would expect the coefficient to be negative because the…arrow_forwardExer. 31-32: Find an exponential function of the form f(x) = ba-* + c that has the given horizontal asymptote and y-intercept and passes through point P. 31 y = 32; y-intercept 212; P(2, 112) 32 y = 72; y-intercept 425; P(1, 248.5)arrow_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_forwardHow long will it take money to quadruple with continuous compounding at 12% interest? Oa 15,019 72 b.11.5524 Oc10 9861 Od.76,943 18.129.05arrow_forwardII. Solve. 2.) Tim invests $1000 into an account in which interest is compounded continuously. If the interest rate is 2.5%, how long until Tim doubles his investment? (Round to the nearest year.) T ( e ni slduob of no teluooy ars not beniupen eiarrow_forward
- 2) An initial investment of $10,000 grows at 11% per year. What function represents the value of the investment after t years? R) - 10,000(1.11) R) - 10,000(1.11) - 10,000(11)' A) – 10,000(0.11)' a. c. b. d.arrow_forwardthe tth policy year, t = 1, 2, 3, 3. A whole life insurance policy issued to a life aged exactly 30 has an increasing sum insured. In the sum insured is $100000(1.03t-¹). Derive the formula of the EPV of this benefit. ....arrow_forward3. The Hershey Company is the largest US producer of chocolate. In 2017, annual net sales were 7.986 billion dollars and were increasing at a continuous rate of 2.7% per year. Write a formula for annual net sales, S, as a function of time, t, in years since 2017. a. b In what year are sales predicted to reach 11 billion dollars?arrow_forward
- Ever since the start of the 21st century, life expectancy has steadily increased. The table below shows the life expectancy based on the year between 2000-2020. Year Life Expectancy (years)2001 472002 502004 542006 602008 642010 682012 712014 732016 762018 782020 80 (a) Let x represent time in years starting with x = 1 for the year 2001. Using your calculator, find the logarithmic regression (LnReg) that models this situation. Call this equation L(x). Round to 3 decimal places. (b) According to the model L(x), what will be the life expectancy be in 2030? Round to the nearest year. (c) Using the model, algebraically determine what year the life expectancy will be 95 years old? Round the answer to the nearest year.arrow_forward7.8.7 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_forwardA wooden artifact from an ancient tomb contains 50 percent of the carbon-14 that is present in living trees.How long ago, to the nearest year, was the artifact made? (The half-life of carbon-14 is 5730 years.) ________ yearsarrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage