5.7 pts. In January 2019, an influencer had 4,000 followers. In July 2019, they had 10,000...
Perry currently has 109,082,317 followers on Twitter. Her followers increase at a continuous rate of 11%. a. Find an exponential function that models the growth of Perry’s Twitter followers. b. If this trend continues, predict how many followers Katy Perry will have in the year 2020. Round to the nearest follower. c. In what year will Katy Perry double the number of followers she has today?
Often new technology spreads exponentially. Between 1995 and 2005, each year the number of Internet domain hosts was 1.43 times the number of hosts in the preceding year. In 1995, the number of hosts was 8.2 million. (a) Explain why the number of hosts is an exponential function of time. The number of hosts grows by a factor of each year, this is an exponential function because the number is growing b ---Select--- multiples. constant increasing (b) Find a formula...
Return to the original model. We now introduce a Poisson intensity parameter X for every time point and denote the parameter () that gives the canonical exponential family representation as above by θ, . We choose to employ a linear model connecting the time points t with the canonical parameter of the Poisson distribution above, i.e., n other words, we choose a generalized linear model with Poisson distribution and its canonical link function. That also means that conditioned on t,...
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An investment worth $1 million in 2005 has been growing at a rate of (t) 0.142(1.155) million dollars per year where t is the number of years since 2005. (a) Calculate how much the investment will have grown between 2005 and 2014. (Round your answer to three decimal places) million How much is it projected to grow between 2014 and 2019? (Round your...
Use the Leading Coefficient Test to determine the end behavior of the graph of the given polynomial function. f(x) = -6x* +5x2 - x +7 Choose the correct answer below. A. The graph of f(x) falls to the left and falls to the right. O B. The graph of f(x) falls to the left and rises to the right O C. The graph of f(x) rises to the left and rises to the right OD. The graph of f(x) rises...
7. (7 pts) The number N() of bacteria in a culture is growing exponentially. When t=0 hours, Nt) = 5000 bacteria, and when 1 = 5 hours, N(O) = 30,000 bacteria. W a. Find the growth rate k. (Round to four decimal places.) In solamyes Isinoshorts non 11001nix on bald #7a: b. Write the function () that represents the number of bacteria after hours. #7b: c. After how many hours will the number of bacteria be 100,000? Round to the...
10). Following the birth of his child, Benjamin deposits $10,000 in a college trust fund where interest is 3.9%, compounded semiannually. Find the amount of money in the account at t = 21 years. (Show the correct formula/function and your work.) (Section 5.2) II). The exponential function D(t) = 347(1.024)' gives the number of bachelor's degrees, in thousands, camed in the United Statest years after 1970 (Sources: National Center for Educational Statistics; U.S. Department of Education). Estimate the number of...
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му art Name: Write your answer or answers as pairs (x,y) 6. 16 pts) Solve the system of equations: xy-y = -4 xy-2y=-29 #6: 7. (pt) The number N() of bacteria in a culture is growing exponentially. When 1 =0, N(1) 100, and when t=5, NC) -300 where is the time in hours. a. Find the growth rate k. (Round to four decimal places.) #7a: b. Write the function that represents the number of bacteria after t hours....
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Despite the growth in digital entertainment, the nation's 400 amusement parks have managed to hold on to visitors. A manager collects data on the number of visitors (in millions) to amusement parks in the United States. A portion of the data is shown in the accompanying...
Exercises 1. Verify equation (3) 2. Use the techniques of Section 13.7 and the fact that P(0) = 10 to solve equation (5). 3. The carrying capacity of Atlantic harp seals has been estimated to be C = 10 million seals. Let 1 = 0 correspond to the year 1980 when this seal population was estimated to be about 2 mil- lion. (Data from: Fisheries and Oceans Canada.) (a) Use a logistic growth model = kP(C - P) with k...