O Watch help videoThe number of users on a website is 320o and is growing exponentially at arate of 70% per year. Write a function to represent the number of users on thewebsite aftert years, where the daily rate of change can be found from aconstant in the function. Round all coefficients in the function to four decimalplaces. Also, determine the percentage rate of change per day, to the nearesthundredth of a percent.Function: f(t)Growth% increase per daySubmit Answerattempt 1 out of 2

This is a problem related to exponential function. Based on the general formula we will answer the…

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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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Similar questions

Throughout much of the 20th century, the yearly consumption of electricity in the US increased exponentially at a continuous rate of 7% per year. Assume this trend continues and that the electrical energy consumed in 1900 was 1.5 million megawatt-hours. (a) Write an expression for yearly electricity consumption, E, as a function of time, t, in years since 1900. million megawatt-hours (b) Find the average yearly electrical consumption throughout the 20th century. NOTE: Round your answer to the nearest integer. E(t) = million megawatt-hours (c) During what year was electrical consumption closest to the average for the century? NOTE: Round your answer to the nearest integer. During Average Yearly Consumption =
A 12-inch tall sunflower is planted in a garden and the height of the sunflower increases by 8% per day. What is the 1-day percent change in the height of the sunflower? At any given moment, the height of the sunflower is what percent of its height 1 day prior? What is the 1-day growth factor for the height of the sunflower? Write a function f(t) that determines the height of the sunflower (in inches) in terms of the number of days t since it was planted. What does f(4) mean in the context of this problem? If the sunflower is 23 inches tall, then how many days has the sunflower been growing for?
A certain city's population has been in decline since 2010, at which time its population was 100,000. If the population has been decreasing by 4200 people every year, write a function to model the situation with t being the number of years since 2010.
The function A = Age -0.00693x models the amount in pounds of a particular radioactive material stored in a concrete vault, where x is the number of years since the material was put into the vault. If 400 pounds of the material are placed in the vault, how much time will need to pass for only 115 pounds to remain? Round to nearest whole number. O A. 190 years O B. 360 years O C. 185 years O D. 180 years
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.
The value of a brand new car is $28, 000 and the value depreciates 19% every yea. Write a function to represent the value of the car after t years, where the quarterly rate of change can be found from a constant in the function. Round all coefficients in the function to four decimal places, Also, determine the percentage rate of change pe quarter, to the nearest hundredth of a percent. Function: f(t) Growth % increase per quarter Submit Answer
A local community center for sports and fitness charges a initial membership fee of $75.00.The center then charges $35 per member monthly use of the facility.Write a function f(x) for the total amount charged to the members for x months of use. What is the rate of change of the function? What is the slope of the function?
Element X is a radioactive isotope such that its mass decreases by 20% every year. Ifan experiment starts out with 730 grams of Element X, write a function to representthe mass of the sample after t years, where the monthly rate of change can be foundfrom a constant in the function. Round all coefficients in the function to four decimalplaces. Also, determine the percentage rate of change per month, to the nearesthundredth of a percent.

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