A store has determined that the number of Blu-ray movies sold monthly is approximatelyn(x) = 6250(0.931*) movieswhere x is the average price in dollars.(a) Write the function for the model giving revenue in dollars, where x is the average price in dollars.R(x) =dollars(b) If each movie costs the store $10.00, write the function for the model that gives profit in dollars, where x is the average price in dollars.P(x) =dollars(c) Complete the table. (Round your answers to three decimal places.)Rates of Change of Revenue and ProfitRate of changeof revenue(dollars per dollar)Price$13$14$20$21$22Rate of changeof profit(dollars per dollar)(d) What does the table indicate about the rate of change in revenue and the rate of change in profit at the same price?There is a range of prices beginning near $14 for which the rate of change of revenue is ---Select---revenue is -Select--- ✓while the rate of change of profit is ---Select---profit is ---Select---

Answered: Image /qna-images/answer/6daa7bb2-901a-418e-8c7a-a0cbfd9294e9.jpg

Answered: A store has determined that the number…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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The amount of money (in trillions of dollars) that is invested in passively managed mutual funds can be approximated by the function A(x) = 0.34(1.15), where x = 1 corresponds to the year 2001. (a) What was the amount of money in passively managed mutual funds in 2014 and 2016? (b) If the trend continues, what is the first full year when the amount of passively managed mutual funds exceeds $7.3 trillion? (a) Which of the following describes how to find amount of money in passively managed mutual funds in 2014 using the given information? Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal.) O A. To find the amount of money in passively managed mutual funds in 2014, find the intersection point of the graphs y = 0.34(1.15)* and y= The amount of money in passively managed mutu funds in 2014 is represented by the y-coordinate. O B. To find the amount of money in passively managed mutual funds in 2014, substitute for x and…
A college dormitory houses 650 students, all of whom are susceptible to a particular infectious virus. On a particular day, the infectious virus had been contracted by 15 students. 3 days later, 135 students had contracted the virus. The number of infected students grows at a rate that is jointly proportional to the current number of students who have contracted the virus and the difference between the total number of students in the dorm and the number who have contracted the virus. a. Find a function that gives the number of students who have contracted the virus at any time t. Round to 5 decimal places, if necessary. P (t) = b. Find the number of students who have contracted the virus 5 days after its initial outbreak. Round to the nearest student. P (5)
The amount of foreign earnings (in trillions of dollars) kept overseas can be approximated by the function f(x) = 0.223(1.25), where x = 5 corresponds to the Find the first full year in which the foreign earnings kept overseas exceeds the following amounts. year 2005 (a) $1.3 trillion (b) $2.4 trillion ... (a) The first full year in which the foreign earnings kept overseas exceeds $1.3 trillion is (Type a whole number.) (b) The first full year in which the foreign earnings kept overseas exceeds $2.4 trillion is (Type a whole number.)
The population of a Ukrainian village is currently 500. Based on the observed growth of the population in past years it is estimated that after 1 year the population will be 600. Similarly, it is estimated that after 2 and 3 years, the population of the village will be 720 and 864 respectively.Which function describes the relationship between year and the village population?
There were around 70,000 black rhinos in the world in 1970. After that, their population declined by a rate of 12.6% annually. Which function best describes the number of black rhinos remaining x years after 1970?
Suppose that a student carrying a flu virus returns to campus and that four days later fifty students have been infected. Determine the number of infected students as a function time. Assume that the virus spreads at a rate that is proportional to both the number of students that have been infected and the number of students that have not been infected. Also assume that the campus population is 5000 students.
48
The amount of revenue generated by a food deliveries company (in billions of dollars) can be approximated by the function f(x) = 0.769(1.125)*, where x = 1 corresponds to the first quarter of the year 2018. Find the first full quarter in which the revenue generated from food deliveries exceeded the following amounts. (a) $4.9 billion (b) $6.9 billion (a) The first full quarter in which the revenue generated exceeded $4.9 billion was the (Type a whole number.) quarter of the year third first fourth second

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