Consumer expenditures, in millions of dollars, on all types of books in the United States for the years 1995-2005 can be modeled by the function defined by B(x)=26,080 e0453x where x-0 represents 1995, x= 1 represents 1996, and so on. Approximate consumer expenditures for 2001. The total expenditures in the year 2001 was approximately million dollars. (Round to the nearest integer as needed.).

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Q: Suppose that the population of some state in 2010 was P= 35 million and its annual percentage rate…

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Q: Approximate the function at the value of x to four decimal places.

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Q: 9. A function modeling the number of AIDS cases reported t years after 1990 in a certain location is…

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Q: The population of Bangladesh can be modeled by the function P(t) = 265(1 + 0.0195) where P(t)…

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Q: The function models the number of people, f(t), in a city who have become ill with influenza t weeks…

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Q: Assuming that Switzerland's population is growing exponentially at a continuous rate of 0.17 percent…

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Q: Assuming that Switzerland's population is growing exponentially at a continuous rate of 0.23 percent…

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Q: 100. Labor. The percentage of women aged 21-34 in the U.S. civilian labor force can be modeled by…

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Q: A towns population, each year, can be modeled by the function P=12000(1.025)^t how fast, as a…

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Q: An environmental scientist found that the number of gallons of a pollutant in a lake is growing…

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Q: The function f(x)=1+1.3 In (x+1) models the average number of free throws a basketball player can…

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Q: 7. After declining between 1940 and 1980, the number of multigenerational American households has…

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Q: 3. An investment of $2000 in a bank account doubles every 5 years. The function that models the…

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Q: A bacteria colony grow at a rate of 11% per year. If the initial sample has a mass of 500 grams,…

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Q: he population of India can be modeled by the function   P(t)=1462(1+0.0177)t   where P(t) measures…

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Q: The population in a certain city was 58,000 in 2000, and its future size is predicted to be…

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Q: Suppose that the population of some state in 2010 was P= 30 million and its annual percentage rate…

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Q: Suppose that enrolment in CLSU has been increasing over the years since year 2013 according to the…

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Q: 33. A family invested $2,000 into an account that pays 2% interest compounded annually. In the…

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Q: Find the y-intercepts of the given exponential function f(x) = 72x-3 – 343 -312.997085 -322.997085…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.