Example 4 (Calculator Active): For 0 ≤s ≤ 5000, the total amount a local college spends on printingis related to the number of students enrolled at the school and is modeled by C(s) = 70-32 cos(2000)where s is the number of students enrolled at the college and C is the total cost of printing, in thousandsof dollars. At what rate is the total cost of printing changing, in dollars per student, when 2500 studentsare enrolled at the college?

NOTE: Refresh your page if you can't see any equations. . the given cost function is where…

Answered: Example 4 (Calculator Active): For 0 ≤s…

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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2. Lijah opened an account at Advantis Credit Union. The balance of her account after x years is represented by the function b(x) = 500(1.05)*. What annual interest rate is Lijah earning? а. b. After how many years did it take for Lijah's balance to double? Show all of your work.
According to the U.S. Census Bureau, in 2011, the median (middle of the range) annual income of a high school graduate with no further education was about $35,400 per year. If we assume that it takes 4 years to earn a bachelor's degree and 2 additional years to earn a master's degree, the median annual income increases by 12% for each year spent toward successful completion of a degree. This describes a function I = I(y), where I is the median income in 2011 for a person with y years of college education. (a) Express in functional notation the median income in 2011 of an individual with a bachelor's degree, which requires 4 years of college. Calculate the value. (Round your answer to the nearest cent.) I = $ (b) Make a table of values that shows the median income in 2011 for individuals completing 0 through 4 years of college. (Round your answers to the nearest cent.) Years of college Median income (in 2011) 0 $ 1 $ 2 $ 3 $ 4 $ (c) Make a…
In a certain culture, an initial population of 6000 bacteria grows to 9000 bacteria after 20 minutes. (a) Determine the function n(t)=n0ert that models the number of bacteria after t minutes. (b) How many bacteria are present after 2 hours?
In this example we considered the function W = f(T, v), where W is the wind-chill index, T is the actual temperature, and v is the wind speed. A numerical representation is given in this table. (a) What is the value of f(-20, 40)? What is its meaning? f(-20, 40) = , which means that if the temperature is -20°C and the wind speed is 40 km/h, then the air would feel equivalent to approximately °C without wind. (b) Describe in words the meaning of the question "For what value of v is f(-10, v) = -15?" The question is asking: when the temperature is °C? Answer the question. V = km/h Answer the question. T = (c) Describe in words the meaning of the question "For what value of T is f(T, 10) = -39?" The question is asking: when the wind speed is °C? °C °C, what wind speed gives a wind-chill index of E km/h, what temperature gives a wind-chill index of d 9:16 PM 9/26/2022
Sarah pays a flat rate plus a rate per minute for her phone plan as shown in the graph above. The cost of Sarah's phone plan, C(t), can be represented by which of the following functions? A: C(t) = -0.10t+25 B: C(t) = 0.10t+25 C: C(t) = 25(0.10)^t D: C(t) = 25(1+0.10)^t
3. The function N = 300(0.93)' models the number of gadgets on the shelf after t days. How many days until we are down to 30 gadgets?
Write down first order ODE that could describe: "The rate at which COVID-19 spreads (an increase in number of infected people) through a university is jointly proportional to the number of people who have in- fected with COVID-19 and the number who is healthy. Assume that the population size is 1,000 and people can either be infected or healthy."
The crime rate of a certain city is decreasing by exactly 3%each year. Let t=0 correspond to the year 1995 in which there were 35 crimes. If the number of crimes continue to decrease at a constant rate, create thw function to represent

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