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Profit: Smartphones (Compare Exercise 27.) Worldwide annual sales of smartphones in 2012–2013 were approximately
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- Cell Phone Plans Gwendolyn is mulling over the three cell phone plans shown in the table. Gigabytes GB of data included Monthly Cost Each additional megabytes MB Plan A Plan B Plan C 1 1 1 25.00 40.00 60.00 2.00 1.50 1.00 From past experience, Gwendolyn knows that she will always use more than 1GB of cell phone data every month. aMake table of values that shows the cost of each plan for 1 GB to 4 GB, in 500 MB increments. bFind formulas that give Gwendolyns monthly cost for each plan, assuming that she uses x gigabytes of data per month where x1. cWhat is the charge from each plan when Gwendolyn uses 2.2 GB? 3.7 GB? 4.9 GB? d Use your formulas from part b to determine the number of gigabytes of data usage for which: (i) Plan A and Plan B give the same cost. (ii) Plan A and Plan C give the same cost. (iii) Plan B and Plan C give the same cost.arrow_forwardsee picture for questions a and barrow_forwardSection 3.2 (35) Six years ago, I invested some money in Dracubunny Toy Co. stock, acting on the advice of a “friend.” As things turned out, the value of the stock decreased by 5% every 4 months, and I discovered yesterday (to my horror) that my investment was worth only $297.91. How much did I originally invest?arrow_forward
- Chapter 3.1 (13) Find the present value of the given investment. An investment earns7% per year and is worth $1000 after 7 months.arrow_forward8. The total yearly revenue of a small company, in thousands of dollars, is given in the table below. Which model would best fit this data: quadratic, cubic, or exponential? Use the model to write a best-fit equation, then estimate the revenue of the company in 2020. Year Revenue 2010 4.3 2011 8.3 2012 10.5 2013 2014 11.4 13.5arrow_forwardUse this data and and generate a model of the annual maintenance expenses based on the age of the bug. If my bus is 4.1 years old, what are the projected annual maintenance costs? (Enter a whole number) Age of Bus (years) Annual Maintenance Cost ($) 2.4 350 2.3 370 2.4 480 3.1 520 3 590 5.8 550 4.8 750 3.8 800 3.6 790 4.9 950 5.5 915arrow_forward
- Q. Table gives data on gold prices, the Consumer Price Index (CPI), and the New York Stock Exchange (NYSE) Index for the United States for the period 1974 –2006. The NYSE Index includes most of the stocks listed on the NYSE, some 1500-plus. a. Plot in the same scattergram gold prices, CPI, and the NYSE Index. b. An investment is supposed to be a hedge against inflation if its price and /or rate of return at least keeps pace with inflation. To test this hypothesis, suppose you decide to fit the following model, assuming the scatterplot in (a) suggests that this is appropriate: Gold pricet = β1 + β2 CPIt + ut NYSE indext = β1 + β2 CPIt + ut Note that if beta2 = 1 the response exactly grows with CPI Thank you!arrow_forwardThe Country Fields Retirement Community ch $6000/month for a single senior citizen to resi an efficiency apartment with assisted living The facility has operating expenses of $600,00 month. Staffing levels are dependent on the n of residents. Each senior who enters the comm requires additional food, personal care, and s staff time. The estimated cost for each pers $4000 per person per month. (a) How many senior citizen residents does the ity need to have in order to reach the break point? (b) What is the company's annual profit or in they maintain an average residency level senior citizens?arrow_forwardsolve 5 a and b.arrow_forward
- Q1. The table provided gives data on indexes of output per hour (X) and real compensation per hour (Y) for the business and nonfarm business sectors of the U.S. economy for 1960–2005. The base year of the indexes is 1992 = 100 and the indexes are seasonally adjusted. a. Plot Y against X for the two sectors separately. b. What is the economic theory behind the relationship between the two variables? Does the scattergram support the theory? c. Estimate the OLS regression of Y on X. Note: on the table ( 1. Output refers to real gross domestic product in the sector. 2. Wages and salaries of employees plus employers’ contributions for social insurance and private benefit plans. 3. Hourly compensation divided by the consumer price index for all urban consumers for recent quarters.) Thank you!arrow_forwardA certain city's power company charges their residents for electricity usage on a daily basis. There is a basic charge of 11.57 cents. For each day the first 10 kWh cost 4.81 cents per kWh and any additional kWhs are 9.69 per kWh. (A kWh, or kilowatt-hour, is a unit of energy.) (a) Complete the following table using the information provided above. kWhkWh 0 5 10 15 20 cost (dollars)cost (dollars) kWhkWh 25 30 35 40 cost (dollars)cost (dollars) (b) We can define a piecewise function f(x)f(x) where xx is the kWh used in a day and f(x)f(x) is the cost, in dollars. This function would have the form f(x)={g(x)h(x)ififx∈Ax∈Bf(x)={g(x)ifx∈Ah(x)ifx∈B What functions g(x)g(x) and h(x)h(x) make up the piecewise function f(x)f(x)? g(x)=g(x)= for A = h(x)=h(x)= for B = Hint: A and B are intervals. If an interval uses ±∞±∞ write inf or -inf . (c) Using the above function, what is the cost of 26 kWh? dollars. (d) For 3 dollars, what is the maximum kWh usage for one…arrow_forwardThe yearbook staff at the high school expects to sell 500 yearbooks this year. They expect sales to increase sales by 2% each year. Which explicit equation represents the total yearbooks projected to be sold each year, where x represent number of years?arrow_forward
- Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningTrigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage LearningGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill