Use an exponential model and a graphing calculator to estimate the answer to the following problem.Suppose that in any given year the number of cases of a disease is reduced by 17%. There are 14,000 today. Complete parts (a) and (b) below.Write an equation that can be used to model the number of cases of the disease after x years.y=0(Type an expression using x as the variable.)

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Answered: Use an exponential model and a graphing…

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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(Depreciation). Table 2 gives the market value of a luxury sedan (in dollars) x years after its purchase. (Use 4 decimal places in all answers.) Table 2: Luxury Sedan's Value x Value ($) 1 23,125 2 19,050 3 15,625 4 11,875 5 9,450 6 7,125 A. What exponential equation, V(x) best fits the data, where x is the number of years after purchase and V(x) is value of the vehicle after x years?V(x) = B. What is r2?r2 = C. Use the equation to estimate the purchase price of the vehicle and the value of the vehicle after 10 years. (Round to the nearest cent.)The purchase price of the vehicle after 10 years will be $ .D. Use the equation to estimate how old a luxury sedan valued at $12,000 is. (Round to the nearest year.)The luxury sedan should be about years old.
1) In 2021, Jay purchases a car for $16,000. The value of the car depreciates (exponentially decreases) 5% each year. Part A: Complete the given table and graph to represent the situation. Be sure to show your calculations or explain how you got your y-values. y (years) (value of car) 1 2 3 4 Fof Years Part B: Part C: Write an equation to represent the situation. What is the value of the car in 2031? Equation: Valae of Cat
An economist predicts that the buying power B(x) of a dollar x years from now will be given by the formula B(x)=0.8*. How much will today's dollar be worth in 2 years? Round to the nearest cent. O A. $1.74 OB. $0.96 OC. $1.60 OD. $0.64
2. An antique computer valued at $6500 depreciates at the rate of 14% per year (b = 0.86). Equation: Circle one: Linear or Exponential 3. The population of flying squirrels in Madagascar started with 3 and the population doubles each year. Equation: Circle one: Linear or Exponential 4. Penny has a stamp collection of 550 stamps. Penny is feeling generous and gives away7 stamps every week. Circle one: Linear or Exponential Equation: 5. The phone company charges a flat rate of $25 per month. In addition they charge $0.05 for each min of service. Write a function to model the relationship between the number of minutes of service each month. 6. Jenny bought a 2016 Ford F-150 for $25,000 which depreciates at a rate of 4.3% per year (b = 0.957). Write a function to model the relationship between time and value of the car. 7. Brian used the equation y = 3x + 7 that represents the new cucumber plant that he bought for his yard, where x represents the weeks since the cucumber plant was planted…
An exponential function is given as 3 to the power x. Write the equation of the transformed function if the transformed function has horizontal asymtote as y = -1 and has y - intercept of 70.
Write an equation for the function graphed below. The y intercept is at (0,0.5) 5 4 3 -5 -4 -3 -2 -1 1 2 3 4 5 7 -2 -3 -4 -5 y = The count in a bacteria culture was 900 after 15 minutes and 1700 after 35 minutes. Assuming the count grows exponentially, What was the initial size of the culture? Find the doubling period. Find the population after 100 minutes. When will the population reach 11000.

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