Finite Mathematics and Applied Calculus (MindTap Course List)
7th Edition
ISBN: 9781337274203
Author: Stefan Waner, Steven Costenoble
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 2.2, Problem 54E
To determine
To calculate: The model of following data by using the exponential function
1 | 2 | |
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Model the data using an exponential function f (x) = Ab"
|0 1
2
f(x)
| 500
250
125
O f(x) = 500"
O f (x) = 500(0.5)*
O f (x) = 250(2)"
O f (æ) = 500(2)*
Do the following exponential functions show growth or decay or neither?
10
6-
4-
A)
Select an answer
-4
-5
-7
6-
10
10
B)
Select an answer
-4
-3
-2
-2
C)
y = 0.28 · (1.76)*
Select an answer
D)
y = 0.28 · (0.57)*
Select an answer
hard
Chapter 2 Solutions
Finite Mathematics and Applied Calculus (MindTap Course List)
Ch. 2.1 - In Exercises 16, (a) state the values of a, b, and...Ch. 2.1 - In Exercises 16, (a) state the values of a, b, and...Ch. 2.1 - In Exercises 16, (a) state the values of a, b, and...Ch. 2.1 - In Exercises 16, (a) state the values of a, b, and...Ch. 2.1 - In Exercises 16, (a) state the values of a, b, and...Ch. 2.1 - Prob. 6ECh. 2.1 - Prob. 7ECh. 2.1 - Prob. 8ECh. 2.1 - In Exercises 716, sketch the graph of the...Ch. 2.1 - Prob. 10E
Ch. 2.1 - Prob. 11ECh. 2.1 - In Exercises 716, sketch the graph of the...Ch. 2.1 - In Exercises 716, sketch the graph of the...Ch. 2.1 - Prob. 14ECh. 2.1 - Prob. 15ECh. 2.1 - Prob. 16ECh. 2.1 - In Exercises 1720, for each demand equation,...Ch. 2.1 - Prob. 18ECh. 2.1 - Prob. 19ECh. 2.1 - Prob. 20ECh. 2.1 - Prob. 21ECh. 2.1 - In Exercises 2124, use technology to find the...Ch. 2.1 - Prob. 23ECh. 2.1 - In Exercises 2124, use technology to find the...Ch. 2.1 - World Military Expenditure The following chart...Ch. 2.1 - Education Expenditure The following chart shows...Ch. 2.1 - Oil Imports from Mexico Crude oil imports to the...Ch. 2.1 - Oil Production in Mexico Crude oil production by...Ch. 2.1 - GE Net Income 20092013 The annual net income of...Ch. 2.1 - GE Net Income 20072011 The annual net income of...Ch. 2.1 - Revenue The market research department of the...Ch. 2.1 - Prob. 32ECh. 2.1 - Revenue Pack-Em-In Real Estate is building a new...Ch. 2.1 - Revenue Pack-Em-In has another development in the...Ch. 2.1 - Revenue from Monorail Service, Las Vegas In 2005...Ch. 2.1 - Revenue from Monorail Service, Mars The Utarek...Ch. 2.1 - Website Profit You operate a gaming website,...Ch. 2.1 - T-Shirt Profit Two fraternities, Sig Ep and Ep...Ch. 2.1 - Website Profit The latest demand equation for your...Ch. 2.1 - T-Shirt Profit The latest demand equation for your...Ch. 2.1 - Nightclub Management You have just opened a new...Ch. 2.1 - Television Advertising As sales manager for...Ch. 2.1 - Prob. 43ECh. 2.1 - Prob. 44ECh. 2.1 - iPod Sales The following table shows Apple iPod...Ch. 2.1 - iPod Sales The following table shows Apple iPod...Ch. 2.1 - What can you say about the graph of f(x)=ax2+bx+c...Ch. 2.1 - Prob. 48ECh. 2.1 - Multiple choice: Following is the graph of...Ch. 2.1 - Prob. 50ECh. 2.1 - Prob. 51ECh. 2.1 - Prob. 52ECh. 2.1 - Prob. 53ECh. 2.1 - Prob. 54ECh. 2.1 - Prob. 55ECh. 2.1 - Prob. 56ECh. 2.1 - Prob. 57ECh. 2.1 - Prob. 58ECh. 2.1 - Prob. 59ECh. 2.1 - Prob. 60ECh. 2.1 - If the revenue function for a particular commodity...Ch. 2.1 - If the revenue function for a particular commodity...Ch. 2.2 - In Exercises 1-12, compute the missing values in...Ch. 2.2 - In Exercises 1-12, compute the missing values in...Ch. 2.2 - In Exercises 1-12, compute the missing values in...Ch. 2.2 - Prob. 4ECh. 2.2 - Prob. 5ECh. 2.2 - In Exercises 1-12, compute the missing values in...Ch. 2.2 - Prob. 7ECh. 2.2 - Prob. 8ECh. 2.2 - Prob. 9ECh. 2.2 - Prob. 10ECh. 2.2 - In Exercises 1-12, compute the missing values in...Ch. 2.2 - Prob. 12ECh. 2.2 - In Exercises 13-18, graph the given function using...Ch. 2.2 - Prob. 14ECh. 2.2 - Prob. 15ECh. 2.2 - In Exercises 13-18, graph the given function using...Ch. 2.2 - Prob. 17ECh. 2.2 - In Exercises 13-18, graph the given function using...Ch. 2.2 - In Exercises 19-24 the values of two functions, f...Ch. 2.2 - Prob. 20ECh. 2.2 - Prob. 21ECh. 2.2 - Prob. 22ECh. 2.2 - Prob. 23ECh. 2.2 - Prob. 24ECh. 2.2 - In Exercises 25-30, supply a valid technology...Ch. 2.2 - Prob. 26ECh. 2.2 - Prob. 27ECh. 2.2 - Prob. 28ECh. 2.2 - In Exercises 25-30, supply a valid technology...Ch. 2.2 - In Exercises 25-30, supply a valid technology...Ch. 2.2 - Prob. 31ECh. 2.2 - Prob. 32ECh. 2.2 - Prob. 33ECh. 2.2 - Prob. 34ECh. 2.2 - Prob. 35ECh. 2.2 - Prob. 36ECh. 2.2 - Prob. 37ECh. 2.2 - Prob. 38ECh. 2.2 - Prob. 39ECh. 2.2 - Prob. 40ECh. 2.2 - Prob. 41ECh. 2.2 - Prob. 42ECh. 2.2 - Prob. 43ECh. 2.2 - Prob. 44ECh. 2.2 - Prob. 45ECh. 2.2 - Prob. 46ECh. 2.2 - In Exercises 47-54, model the data using an...Ch. 2.2 - Prob. 48ECh. 2.2 - Prob. 49ECh. 2.2 - Prob. 50ECh. 2.2 - In Exercises 47-54, model the data using an...Ch. 2.2 - Prob. 52ECh. 2.2 - In Exercises 47-54, model the data using an...Ch. 2.2 - Prob. 54ECh. 2.2 - Prob. 55ECh. 2.2 - Prob. 56ECh. 2.2 - In Exercises 55-62, find an equation for an...Ch. 2.2 - Prob. 58ECh. 2.2 - In Exercises 55-62, find an equation for an...Ch. 2.2 - In Exercises 55-62, find an equation for an...Ch. 2.2 - Prob. 61ECh. 2.2 - Prob. 62ECh. 2.2 - In Exercises 63-66, obtain an exponential function...Ch. 2.2 - Prob. 64ECh. 2.2 - In Exercises 63-66, obtain an exponential function...Ch. 2.2 - Prob. 66ECh. 2.2 - Prob. 67ECh. 2.2 - Prob. 68ECh. 2.2 - In Exercises 67-70, use technology to find the...Ch. 2.2 - Prob. 70ECh. 2.2 - Aspirin Soon after taking an aspirin, a patient...Ch. 2.2 - Alcohol After a large number of drinks, a person...Ch. 2.2 - Prob. 73ECh. 2.2 - Revenue The annual revenue of Amazon rose from...Ch. 2.2 - Prob. 75ECh. 2.2 - Prob. 76ECh. 2.2 - Prob. 77ECh. 2.2 - Prob. 78ECh. 2.2 - Bacteria A bacteria culture starts with 1,000...Ch. 2.2 - Prob. 80ECh. 2.2 - Prob. 81ECh. 2.2 - The 2003 SARS Outbreak A few weeks into the deadly...Ch. 2.2 - The 2014 Ebola Outbreak In the first six months of...Ch. 2.2 - Prob. 84ECh. 2.2 - Investments In August 2013, E*TRADE Financial was...Ch. 2.2 - Investments In August 2013, Ally Bank was offering...Ch. 2.2 - Prob. 87ECh. 2.2 - Prob. 88ECh. 2.2 - Investments Rock Solid Bank Trust is offering a...Ch. 2.2 - Savings FlybynightSavings.com is offering a...Ch. 2.2 - Prob. 91ECh. 2.2 - Home Prices The median selling price of an...Ch. 2.2 - Climate Change The most abundant greenhouse gas is...Ch. 2.2 - Prob. 94ECh. 2.2 - New York City Housing Costs: Downtown The...Ch. 2.2 - New York City Housing Costs: Uptown The following...Ch. 2.2 - Facebook The following table gives the approximate...Ch. 2.2 - Prob. 98ECh. 2.2 - Prob. 99ECh. 2.2 - Prob. 100ECh. 2.2 - Prob. 101ECh. 2.2 - Prob. 102ECh. 2.2 - Prob. 103ECh. 2.2 - Prob. 104ECh. 2.2 - Prob. 105ECh. 2.2 - Describe a real-life situation in which a...Ch. 2.2 - Prob. 107ECh. 2.2 - Prob. 108ECh. 2.2 - Prob. 109ECh. 2.2 - Prob. 110ECh. 2.3 - If y=4x, then x=.Ch. 2.3 - If y=log6x, then x=.Ch. 2.3 - Simplify: 2log28.Ch. 2.3 - Prob. 4ECh. 2.3 - Simplify: ln(ex).Ch. 2.3 - Simplify: lna.Ch. 2.3 - In Exercises 7-14, graph the given function....Ch. 2.3 - Prob. 8ECh. 2.3 - In Exercises 7-14, graph the given function....Ch. 2.3 - Prob. 10ECh. 2.3 - In Exercises 7-14, graph the given function....Ch. 2.3 - Prob. 12ECh. 2.3 - Prob. 13ECh. 2.3 - Prob. 14ECh. 2.3 - In Exercises 15-20, find the associated...Ch. 2.3 - Prob. 16ECh. 2.3 - Prob. 17ECh. 2.3 - Prob. 18ECh. 2.3 - In Exercises 15-20, find the associated...Ch. 2.3 - Prob. 20ECh. 2.3 - In Exercises 21-26, find the associated half-life...Ch. 2.3 - Prob. 22ECh. 2.3 - Prob. 23ECh. 2.3 - Prob. 24ECh. 2.3 - In Exercises 21-26, find the associated half-life...Ch. 2.3 - Prob. 26ECh. 2.3 - In Exercises 27-32, convert the given exponential...Ch. 2.3 - Prob. 28ECh. 2.3 - In Exercises 27-32, convert the given exponential...Ch. 2.3 - Prob. 30ECh. 2.3 - In Exercises 27-32, convert the given exponential...Ch. 2.3 - Prob. 32ECh. 2.3 - Investments How long will it take a $500...Ch. 2.3 - Prob. 34ECh. 2.3 - Investments How long, to the nearest year, will it...Ch. 2.3 - Investments How long, to the nearest year, will it...Ch. 2.3 - Prob. 37ECh. 2.3 - Depreciation My investment in OHaganBooks.com...Ch. 2.3 - Carbon Dating The amount of carbon 14 remaining in...Ch. 2.3 - Carbon Dating Refer to Exercise 39. How old, to...Ch. 2.3 - Long-Term Investments Exercises 41-48 are based on...Ch. 2.3 - Long-Term Investments Exercises 41-48 are based on...Ch. 2.3 - Long-Term Investments Exercises 41-48 are based on...Ch. 2.3 - Long-Term Investments Exercises 41-48 are based on...Ch. 2.3 - Long-Term Investments Exercises 41-48 are based on...Ch. 2.3 - Long-Term Investments Exercises 41-48 are based on...Ch. 2.3 - Prob. 47ECh. 2.3 - Prob. 48ECh. 2.3 - Half-Life The amount of radium 226 remaining in a...Ch. 2.3 - Half-Life The amount of iodine 131 remaining in a...Ch. 2.3 - Automobiles The rate of auto thefts triples every...Ch. 2.3 - Televisions The rate of television thefts is...Ch. 2.3 - Half-Life The half-life of cobalt 60 is 5 years....Ch. 2.3 - Half-Life The half-life of strontium 90 is 28...Ch. 2.3 - Prob. 55ECh. 2.3 - Prob. 56ECh. 2.3 - Aspirin Soon after taking an aspirin, a patient...Ch. 2.3 - Alcohol After a large number of drinks, a person...Ch. 2.3 - Prob. 59ECh. 2.3 - Prob. 60ECh. 2.3 - Prob. 61ECh. 2.3 - Prob. 62ECh. 2.3 - Prob. 63ECh. 2.3 - Prob. 64ECh. 2.3 - Richter Scale The Richter scale is used to measure...Ch. 2.3 - Sound Intensity The loudness of a sound is...Ch. 2.3 - Prob. 67ECh. 2.3 - Prob. 68ECh. 2.3 - On the same set of axes, graph y=lnx, y=Alnx, and...Ch. 2.3 - Prob. 70ECh. 2.3 - Prob. 71ECh. 2.3 - Of what use are logarithms, now that they are no...Ch. 2.3 - Prob. 73ECh. 2.3 - Prob. 74ECh. 2.3 - Prob. 75ECh. 2.3 - Prob. 76ECh. 2.3 - Prob. 77ECh. 2.4 - In Exercises 1-6, find N, A, and b; give a...Ch. 2.4 - Prob. 2ECh. 2.4 - Prob. 3ECh. 2.4 - Prob. 4ECh. 2.4 - Prob. 5ECh. 2.4 - Prob. 6ECh. 2.4 - Prob. 7ECh. 2.4 - Prob. 8ECh. 2.4 - Prob. 9ECh. 2.4 - Prob. 10ECh. 2.4 - Prob. 11ECh. 2.4 - Prob. 12ECh. 2.4 - Prob. 13ECh. 2.4 - Prob. 14ECh. 2.4 - Prob. 15ECh. 2.4 - Prob. 16ECh. 2.4 - Prob. 17ECh. 2.4 - In Exercises 17-20, use technology to find a...Ch. 2.4 - Prob. 19ECh. 2.4 - Prob. 20ECh. 2.4 - Prob. 21ECh. 2.4 - Prob. 22ECh. 2.4 - Prob. 23ECh. 2.4 - Prob. 24ECh. 2.4 - Internet Use The following graph shows the...Ch. 2.4 - Internet Use The following graph shows the...Ch. 2.4 - Prob. 27ECh. 2.4 - Epidemics Last year's epidemic of Martian flu...Ch. 2.4 - Sales You have sold 100 I Calculus T-shirts, and...Ch. 2.4 - Prob. 30ECh. 2.4 - Prob. 31ECh. 2.4 - Prob. 33ECh. 2.4 - College Basketball: Women The following table...Ch. 2.4 - Prob. 35ECh. 2.4 - Exercises 35 and 36 are based on the discussion...Ch. 2.4 - Prob. 37ECh. 2.4 - Prob. 38ECh. 2.4 - Prob. 39ECh. 2.4 - Prob. 40ECh. 2.4 - Prob. 41ECh. 2.4 - Prob. 42ECh. 2.4 - Prob. 43ECh. 2.4 - Prob. 44ECh. 2 - Sketch the graph of the quadratic functions in...Ch. 2 - Prob. 2RECh. 2 - Prob. 3RECh. 2 - Prob. 4RECh. 2 - Prob. 5RECh. 2 - Prob. 6RECh. 2 - Prob. 7RECh. 2 - Prob. 8RECh. 2 - Prob. 9RECh. 2 - Prob. 10RECh. 2 - Prob. 11RECh. 2 - Prob. 12RECh. 2 - Prob. 13RECh. 2 - Prob. 14RECh. 2 - In Exercises 15-18, find a formula of the form...Ch. 2 - Prob. 16RECh. 2 - Prob. 17RECh. 2 - Prob. 18RECh. 2 - Prob. 19RECh. 2 - Prob. 20RECh. 2 - In Exercises 21-24, use the given information to...Ch. 2 - In Exercises 21-24, use the given information to...Ch. 2 - Prob. 23RECh. 2 - Prob. 24RECh. 2 - Prob. 25RECh. 2 - In Exercises 25-28, find the time required, to the...Ch. 2 - In Exercises 25-28, find the time required, to the...Ch. 2 - In Exercises 25-28, find the time required, to the...Ch. 2 - In Exercises 29-32, find an equation for the...Ch. 2 - In Exercises 29-32, find an equation for the...Ch. 2 - In Exercises 29-32, find an equation for the...Ch. 2 - In Exercises 29-32, find an equation for the...Ch. 2 - Website Traffic The daily traffic (hits per day)...Ch. 2 - Revenue and Profit Some time ago, a consultant...Ch. 2 - Revenue and Profit Billy-Sean OHagan is John...Ch. 2 - Lobsters Marjory Duffin, CEO of Duffin House, is...Ch. 2 - Stock Prices In the period immediately following...Ch. 2 - Prob. 39RECh. 2 - Prob. 40RECh. 2 - Prob. 41RECh. 2 - Prob. 42RECh. 2 - Prob. 43RECh. 2 - Prob. 44RECh. 2 - Prob. 45RECh. 2 - Prob. 50RE
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Similar questions
- Identify the exponential function from the graph y=f(x) (1,2) (0,1) -1 -1 -2 a)f (x) = 2* %3D b) f(x) = (÷)" c) f(x) = (4)" %3D %3D d)f(x) = 4* %3D 2.arrow_forwardThe equation for an exponential function is w(x) = 6 · (1.25)x + 5. Which statement correctly describes the end behavior of the function?arrow_forwardFind all real numbers a such that a2=a−2. Explain why this does not violate the exponential function property which states ax=ay if and only if x=y.arrow_forward
- A deposit of $100 is placed in a savings account. Each month, the amount deposited is doubled. Write the function that models the exponential change between the number of months, t, and the amount of money deposited in the savings account, a(t). O a(t) = 2.100¹ Oa(t) = 100 - 2¹ O a(t) = 100 O a(t)= ()* (1) = 1 1/2 ² 1 · 100¹arrow_forwardModel the data using an exponential function f(x) = Abx. f(x): = X f(x) 01 2 64 16 4arrow_forwardThe function h(x) is a translation of the exponential function g(x) = 2(3)X - 4. What's h(x) if the translation is a vertical stretch by a factor of 2, a vertical shift upward 9 units, and a horizontal shift to the right 7 units? A) h(x) = 4(3)x+ - 9 B) h(x) = 4(3)X - 7 + 7 C) h(x) = 4(3)× -7 +9 D) h(x) = 4(3)X - 9 +7arrow_forward
- Exercise 4. Log(1 – iV3)² = a. 2Log(1 – iV3) b. Log(1+ iv3) c. 2Log(1 + iv3) d. None of thesearrow_forwardPopulation growth models are given for countries based on the World Health Organization’s 2006 World. Health Statistics. In each model the population is in millions t years after 2006. Rwanda R(t)= 9.038(1.05)^t. Hungary H(t)= 10.098(0.998)^t a) State whether the population for each country is increasing or decreasing and explain how you know. B) If the population is increasing, determine the amount of time it will take the population to double. C) If the population is decreasing, determine the amount of time it will take the population to have half the initial amount. D) State the practical domain and practical range of R if the function modeled this population from 2000 to 2020.arrow_forwardIn 2002, a company sold 2,480 units. The company's accountant noticed a 5.2% continuous annual increase in the number of units sold between 2002 and 2008. a. Identify a natural exponential function N(f) that models the number of units sold by the company, where t is the number of years after 2002. O N(t) = 2,480 (0.052)* O N(t).= 2,480 e5.2 t %3D N (t) = 2,480 (5.2)t O N(t) = 2,480 e0.052 t b. Find and interpret N(4). 4,004; In the year 2006, the number of urs sold by the company was approximately 4,004 units. 4,004; The number of units sold by the company was increased by 4,004 units since 2006. 3,053; In the year 2006, the number of units sold by the company was approximately 3,053 units. 3,053; The number of units sold by the company was increased by 3,053 units since 2006. c. If this growth rate continues, use your model to estimate when the company will sell approximately 8,000 units. Solve algebraically and round your answer to the nearest whole number. Number years after 2002,…arrow_forward
- The following table shows the number of internet hosts in millions for years since 1995. Year Internet hosts 0 5.846 3 29.67 6 109.574 9 317.646 12 541.677 15 818.374 Let H(t) be the number of internet hosts in millions for t years since 1995. ( Use three decimals in your answer)An exponential model for the data is H(t) = Estimate the number of hosts in 2016? ________ millions Use the model to predict the year in which the number of hosts will be 984 million? ___________arrow_forwardPls helpp ASAParrow_forward2) The value of a plot of land increases 5% every year. The value is $300,000 now, and the owner wants to sell it when the value is at least $400,000. Shanna writes an exponential function of the form, V (t) = a - &, to model the value, V, of the land in t years. The value of b is (A) 1.005 B 1.05 C) 1.5 and the domain is A 0arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
Recommended textbooks for you
- Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin HarcourtAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
01 - What Is A Differential Equation in Calculus? Learn to Solve Ordinary Differential Equations.; Author: Math and Science;https://www.youtube.com/watch?v=K80YEHQpx9g;License: Standard YouTube License, CC-BY
Higher Order Differential Equation with constant coefficient (GATE) (Part 1) l GATE 2018; Author: GATE Lectures by Dishank;https://www.youtube.com/watch?v=ODxP7BbqAjA;License: Standard YouTube License, CC-BY
Solution of Differential Equations and Initial Value Problems; Author: Jefril Amboy;https://www.youtube.com/watch?v=Q68sk7XS-dc;License: Standard YouTube License, CC-BY