In contrast, FarmerBooks.com's (a competitor of OHaganBooks.com) stock were increasing at a continuous rate of 3.2% per hour. Based on this information, create an exponential model, where t is time is hours since it was first offered, to answer the following: If you bought $8,000 worth of stock how many hours would it take your investment to reach $20,000? (Round to the nearest hour.)
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- Households' consumption function is: C=100+0.7Y Households are more pessimistic about the future and they decide to reduce their consumption by 10 units. What is the intercept of the consumption function now? Type your numeric answer and submitIf the annual rate of world oil consumption t years after 1970 is modeledby the equation R(t) = 16.1e^.07t (billions of barrels per year), how much total oil (net change) was used between 1976 and 1980?A company estimates that it will sell N(x) units of a product after spending $x thousand on advertising, as given by N(x)= -0.25x +22x³-472.5x² +83,000, where 21 ≤x≤45. When is the rate of change of sales increasing and when is it decreasing? What is the point of diminishing returns and the maximum rate of change of sales? Graph N and N' on the same coordinate system. The rate of change of sales is increasing on. (Type your answer in interval notation.) The rate of change of sales is decreasing on (Type your answer in interval notation.) The point of diminishing returns is thousand dollars. The maximum rate of change of sales is sales per thousand dollars. (Round to the nearest whole number as needed.) Graph N and N' on the same coordinate system. Choose the correct answer below. OA. Av 110000 0+ 16 N N' 50 Q Q G OB. 110000 Ay 0+ 16 N N' 50 Q Q O C. Ay Q Q MN 110000 04 16 N N' + O D. 50 110000 Ay 0+ 16 N N' X 50 Q G
- A certain quantity Q has initial value 5 and decays by 2% each day. Give an exponential function that describes this quantity. (Use t in days as your variable.)X(t) is a wide sense stationary stochastic process with autocorrelation function sin(271000r) R„(T)=10- 271000r The process Y(t) is a version of X(t) delayed by 50 micro seconds. {Y(t) = X(t - t0)} (a) Derive the autocorrelation function of Y (t). (b) Derive the cross-correlation function of X(t) and Y (t). (c) Are X(t) and Y (t) jointly wide sense stationary? IUnloaded File DetailsThe Montag Family purchased a house in 2020 and expects its value (in thousands of dollars) t years in the future will be well-modeled by the function V(t)=310(1.08). By what percentage does the model predict the house will increase in value each year?
- Anation with fixed quantities of resources is able to produce any of the following combinations of carpet and carpet looms: Yards of Carpet (Millions) Carpet Looms (Thousands) 75 60 20 45 35 30 45 15 50 50 These figures assume that a certain number of previously produced looms are available in the current period for producing carpet. To answer this question, assume carpet looms is on the y-axis and yards of carpet is on the x-ais The plot of these points that make up the PPF has a vertical intercept of and a horizontal intercept of This PPF would be (Enter your responses as a wvhole number) bowed out a straight lineA company estimates that it will sell N(x) units of a product after spending $x thousand on advertising, as given by N(x) = -0.25x +22x³-432x² + 75,000, where 18 ≤x≤ 48. When is the rate of change of sales increasing and when is it decreasing? What is the point of diminishing returns and the maximum rate of change of sales? Graph N and N' on the same coordinate system. The rate of change of sales is increasing on (Type your answer in interval notation.) GEZETWhat is logistic
- Retail chain Kroger has more than 2700 locations and is the largest supermarket in the United States based on revenue. Kroger has invested heavily in data, technology, and analytics. Feeding predictive models with data from an infrared sensor system called QueVision to anticipate when shoppers will reach the checkout counters, Kroger is able to alert workers to open more checkout lines as needed. This has allowed Kroger to lower its average checkout time from four minutes to less than 30 seconds (Retail Touchpoints). Consider the data in the file Checkout. The file contains 32 observations. Each observation gives the arrival time (measured in minutes before 6 p.m.) and the shopping time (measured in minutes). DATA file a. Select the correct scatter diagram for arrival time as the independent variable. A. 60 50 40 30 20 10 Shopping Time (Minutes) 20 40 60 8- 80 Arrival Time (Minutes before 6 p.m.) 100 120 140 160A department store is about to order deluxe, standard, and economy grade DVD players for next year's inventory. The state of the nation's economy (fate) during the year will be a factor on sales for that year. Records over the past 5 years show that if the economy is up, the store will net 4, 2, and 1 million dollers, respectively, on sales of deluxe, standard, and economy grade models; if the economy is down, the company will net -2, 1, and 4 million dollars, respectively, on sales of deluxe, standard, and economy grade models. Complete parts A through D below. The expected value of the game to the company if it orders only deluxe DVD players and fate plays the strategy "Down" is | (Simplify your answer.) The expected value of the game to the company if it plays its optimal strategy and fate plays the strategy "Down" is (Simplify your answer.)Q4 A business manager determines that t months after production begins on a new product, the number of units produced will be P thousand,where P(t) =6?2 + 5? /(? + 1)2 production in the long run (i) A ruptured pipe in a North Sea oil rig produces a circular oil slick that is y meters thick at a distance x meters from the rupture.Turbulence makes it difficult to directly measure the thickness of the slick at the source (where x = 0),but for x > 0,it is found that y =0.5(x2 + 3x)/ x3 + x2 + 4x Required:a)Assuming the oil slick is continuously distributed,how thick would you expect it to be at the source?