Just in case you didn't think about the really big numbers in your model, how much of the prize would eachperson get if 1,000 people get a share? If 100,000 people get a share? If 100,000,000 people get a share?4.Insbut2 AinU : dash5.Use mathematical notation to describe the behavior of this function as x → ∞.Next, let's look at the interval (0,1] and consider a new way to think about splitting the prize money.6.Imagine that you want each person's share to be of the prize. How many people could share the prize?7.If you want each person's share to be of the prize, how many people could share the prize?8.Model this situation with a table, equation, and graph.T# of peopleSize of the share150.5

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Answered: Just in case you didn't think about the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The function y = x^3 has undergone the following transformations. Write the equation. a. reflected in the x-axis, reflected in y-axis, horizontally compressed by a factor of 7/10 , horizontally translated 12 units to the right, vertically translated 6 units up. Describe the end behaviour of this function.
One model for expenditures at high school gives the cosr C, in dollars per pupil, as a function of the number n of students enrolled. The relationship is C= 725 - 0.4 n + 0.00012n^2 A) find the cost that corresponds to the minimum cost per pupil B) find the enrollment that corresponds to the minimum cost per pupil
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You purchased a car for $30 000. It depreciates by 25% of its current value every year. a) Write a function that can be used to model the value of the car after x years. b) How much will the car be worth 3 years after it is purchased? c) How long would it take for the car to depreciate to a value of $20 000?
The U.S. population can be modeled by the function y=165.6x¹.345, where y is in thousands and x is the number of years after 1800. (a) What was the population in 1970, according to this model? (b) is the graph of this function concave up or concave down? What does this mean? (c) Use numerical or graphical methods to find when the model estimates the population was 94,150,000. (a) According to the model, the population in 1970 was thousands. (Round to the nearest integer as needed.)
A study by the National Highway Traffic Safety Administration found that driver fatality rates were highest for the youngest and oldest drivers. The rates per 1000 licensed drivers for every 100 million miles may be approximated by the function ƒ(x) = k(x - 49)6 + 0.8, where x is the driver’s age in years and k is the constant 3.8 * 10-9. Find and interpret the rate of change of the fatality rate when the driver is a. 20 years old; b. 60 years old
The number of Corona virus cases in a specific country is approximated by the function P(t) = 5.3e-0.085t²+0.75t with t in months since March 2020. Use a number line to determine when the number of cases started to decrease?
The yearly profit, "P" of your store can be estimated by the function P(n)=15n-45,000 where "n" is the number of items you sell per year, and P is measured in dollars. A) what is your estimated profit if you sell 5,280 items this year? B) Estimate the number of items you must sell to make $150,000 profit? C) Estimate the number of items you must sell to break even ($0 profit)
48
The sales of Spicheesy Nachos at the local grocery store are currently 3,200 bags per month. Since Twisty Cheese Sticks were introduced, sales of Spicheesy Nachos had been declining by 48 bags per month. Twisty Cheese Sticks currently sell 1,400 bags per month and it sales are increasing by 62 bags per month. Part A: Write expressions for f(x) and g(x) that represent each products sales. Part B: what is the solution to the system? Part C: what does the solution represent?

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