Mathematical Applications for the Management, Life, and Social Sciences
Mathematical Applications for the Management, Life, and Social Sciences
11th Edition
ISBN: 9781305108042
Author: Ronald J. Harshbarger, James J. Reynolds
Publisher: Cengage Learning
bartleby

Concept explainers

bartleby

Videos

Textbook Question
Book Icon
Chapter 5.3, Problem 67E

Modeling Diabetes The following table gives the total number of U.S. adults with diabetes for selected years from 2010 and projected to 2050.

(a) Find the logistic function that models these data. Use x equal to the number of years past 2000.

(b) Use the model to predict the number of U.S. adults expected to have diabetes in 2028.

(c) According to the model, what is the expected upper limit on the number of U.S. adults with diabetes?

(d) In what year does the model predict that the number of U.S. adults with diabetes will reach 80.0 million?

Year Number(millions) Year Number(millions)
2010 32.3 2035 76.2
2015 37.3 2040 84.1
2020 50.0 2045 91.7
2025 59.5 2050 100.0
2030 68.3
Blurred answer
Students have asked these similar questions
A field currently holds 20 tulips.  The number of tulips will grow by 70% each year.  The field can only sustain 300 plants.  Use th logistic growth model to predict the population in the next 3 years.
Give the logistic function modeling initial value = 6,   limit to growth = 20  and passing through  (3, 15).
Suppose 16 blackberry plants started growing in a yard. Absent constraint, the blackberry plants will spread by 100% a month. If the yard can only sustain 100 plants, use a logistic growth model to estimate the number of plants after 4 months.

Chapter 5 Solutions

Mathematical Applications for the Management, Life, and Social Sciences

Ch. 5.1 - Prob. 5ECh. 5.1 - Prob. 6ECh. 5.1 - Prob. 7ECh. 5.1 - Prob. 8ECh. 5.1 - Prob. 9ECh. 5.1 - Prob. 10ECh. 5.1 - Prob. 11ECh. 5.1 - Prob. 12ECh. 5.1 - Prob. 13ECh. 5.1 - Prob. 14ECh. 5.1 - Prob. 15ECh. 5.1 - Prob. 16ECh. 5.1 - Prob. 17ECh. 5.1 - Prob. 18ECh. 5.1 - 23. (a) Graph . (b) Graph . (c) Algebraically show...Ch. 5.1 - Prob. 20ECh. 5.1 - 25. Given that , write an equivalent equation in...Ch. 5.1 - 26. Given that , write an equivalent equation in...Ch. 5.1 - Prob. 23ECh. 5.1 - Prob. 24ECh. 5.1 - Prob. 25ECh. 5.1 - Prob. 26ECh. 5.1 - Prob. 27ECh. 5.1 - Prob. 28ECh. 5.1 - 33. Compound interest If $1000 is invested for x...Ch. 5.1 - 35. Compound interest We will show in the next...Ch. 5.1 - 36. Compound interest If $1000 is invested for x...Ch. 5.1 - 37. Drug in the bloodstream The percent...Ch. 5.1 - Bacterial growth A single bacterium splits into...Ch. 5.1 - 39. Product reliability A statistical study shows...Ch. 5.1 - Prob. 35ECh. 5.1 - Prob. 36ECh. 5.1 - Prob. 38ECh. 5.1 - 46. Advertising and sales Suppose that sales are...Ch. 5.1 - 47. Modeling Carbon dioxide emissions The...Ch. 5.1 - 53. Modeling Alzheimer’s disease As the baby...Ch. 5.2 - 1. What asymptote does the graph of approach when...Ch. 5.2 - 2. For , does the equation represent the same...Ch. 5.2 - Prob. 3CPCh. 5.2 - Prob. 4CPCh. 5.2 - 5. Simplify: (a) (b) (c) (d) log 1 Ch. 5.2 - Prob. 6CPCh. 5.2 - In Problems 1-4, use the definition of a...Ch. 5.2 - Prob. 2ECh. 5.2 - Prob. 3ECh. 5.2 - Prob. 4ECh. 5.2 - Prob. 5ECh. 5.2 - Prob. 6ECh. 5.2 - Prob. 7ECh. 5.2 - Prob. 8ECh. 5.2 - Prob. 9ECh. 5.2 - Prob. 10ECh. 5.2 - Prob. 11ECh. 5.2 - Prob. 12ECh. 5.2 - In Problems 5-14, solve for x by writing the...Ch. 5.2 - In Problems 5-14, solve for x by writing the...Ch. 5.2 - Prob. 15ECh. 5.2 - Prob. 16ECh. 5.2 - Prob. 17ECh. 5.2 - Prob. 18ECh. 5.2 - Prob. 19ECh. 5.2 - In Problems 19 and 20, write the equation in...Ch. 5.2 - Prob. 21ECh. 5.2 - Prob. 22ECh. 5.2 - Prob. 23ECh. 5.2 - Prob. 24ECh. 5.2 - Prob. 25ECh. 5.2 - Prob. 26ECh. 5.2 - Prob. 27ECh. 5.2 - Prob. 28ECh. 5.2 - Prob. 29ECh. 5.2 - Prob. 30ECh. 5.2 - Prob. 31ECh. 5.2 - In Problems 27 and 28, use properties of...Ch. 5.2 - Prob. 33ECh. 5.2 - Prob. 34ECh. 5.2 - In Problems 35 and 36, evaluate each logarithm...Ch. 5.2 - In Problems 35 and 36, evaluate each logarithm...Ch. 5.2 - Write each expression in Problems 37-40 as the sum...Ch. 5.2 - Prob. 38ECh. 5.2 - Prob. 39ECh. 5.2 - Write each expression in Problems 37-40 as the sum...Ch. 5.2 - Prob. 41ECh. 5.2 - Prob. 42ECh. 5.2 - Prob. 43ECh. 5.2 - Prob. 44ECh. 5.2 - Prob. 45ECh. 5.2 - Prob. 46ECh. 5.2 - Prob. 47ECh. 5.2 - In Problems 45-48, use a calculator to determine...Ch. 5.2 - Prob. 49ECh. 5.2 - Prob. 50ECh. 5.2 - Prob. 51ECh. 5.2 - Prob. 52ECh. 5.2 - Prob. 53ECh. 5.2 - Prob. 54ECh. 5.2 - Prob. 55ECh. 5.2 - Prob. 56ECh. 5.2 - Prob. 57ECh. 5.2 - Prob. 58ECh. 5.2 - Richter scale Use the formula in Problems 59-62....Ch. 5.2 - Richter scale Use the formula in Problems 59-62....Ch. 5.2 - Prob. 61ECh. 5.2 - Richter scale Use the formula in Problems 59-62....Ch. 5.2 - Prob. 63ECh. 5.2 - Prob. 65ECh. 5.2 - Prob. 66ECh. 5.2 - Prob. 67ECh. 5.2 - Prob. 68ECh. 5.2 - Prob. 69ECh. 5.2 - Prob. 70ECh. 5.2 - Doubling time In Problems 71 and 72, use the...Ch. 5.2 - Prob. 72ECh. 5.2 - 73. Women in the workforce For selected years from...Ch. 5.2 - 75. Modeling Diabetes As the following table...Ch. 5.2 - Prob. 76ECh. 5.2 - 78. Modeling Demographics The table below gives...Ch. 5.3 - 1. Suppose the sales of a product, in dollars, are...Ch. 5.3 - 2. Suppose the monthly demand for a product is...Ch. 5.3 - 3. Suppose the number of employees at a new...Ch. 5.3 - Prob. 1ECh. 5.3 - Prob. 2ECh. 5.3 - In Problems 1-22, solve each equation. Give...Ch. 5.3 - In Problems 1-22, solve each equation. Give...Ch. 5.3 - Prob. 5ECh. 5.3 - Prob. 6ECh. 5.3 - Prob. 7ECh. 5.3 - Prob. 8ECh. 5.3 - In Problems 1-22, solve each equation. Give...Ch. 5.3 - Prob. 10ECh. 5.3 - Prob. 11ECh. 5.3 - Prob. 12ECh. 5.3 - Prob. 13ECh. 5.3 - Prob. 14ECh. 5.3 - Prob. 15ECh. 5.3 - Prob. 16ECh. 5.3 - Prob. 17ECh. 5.3 - Prob. 18ECh. 5.3 - Prob. 19ECh. 5.3 - Prob. 20ECh. 5.3 - Prob. 21ECh. 5.3 - Prob. 22ECh. 5.3 - Prob. 23ECh. 5.3 - Prob. 24ECh. 5.3 - 25. Sales decay The sales decay for a product is...Ch. 5.3 - 26. Sales decay The sales of a product decline...Ch. 5.3 - 27. Inflation The purchasing power P (in dollars)...Ch. 5.3 - 28. Product reliability A statistical study shows...Ch. 5.3 - 29. Radioactive half-life An initial amount of 100...Ch. 5.3 - 30. Radioactive half-life A breeder reactor...Ch. 5.3 - 31. Population growth If the population of a...Ch. 5.3 - 32. Population growth The population of a certain...Ch. 5.3 - 35. Demand The demand function for a certain...Ch. 5.3 - 36. Demand The demand function for a product is...Ch. 5.3 - 37. Supply If the supply function for a product is...Ch. 5.3 - Prob. 38ECh. 5.3 - 39. Total cost The total cost function for x units...Ch. 5.3 - Prob. 40ECh. 5.3 - Prob. 41ECh. 5.3 - Prob. 42ECh. 5.3 - 43. Compound interest If $8500 is invested at...Ch. 5.3 - 44. Compound interest If $1000 is invested at 10%...Ch. 5.3 - 45. Compound interest If $5000 is invested at 9%...Ch. 5.3 - Prob. 46ECh. 5.3 - Profits An investment services company experienced...Ch. 5.3 - Profits An investment services company experienced...Ch. 5.3 - Prob. 49ECh. 5.3 - Prob. 50ECh. 5.3 - 51. Supply Suppose the supply of x units of a...Ch. 5.3 - 52. Demand Assume that the demand function for a...Ch. 5.3 - 53. Sales growth The president of a company...Ch. 5.3 - Prob. 54ECh. 5.3 - 55. Organizational growth Suppose that the...Ch. 5.3 - Prob. 56ECh. 5.3 - Prob. 57ECh. 5.3 - 58. Population growth Suppose that the number y of...Ch. 5.3 - 59. Spread of disease On a college campus of...Ch. 5.3 - 60. Spread of a rumor The number of people N(t) in...Ch. 5.3 - 61. Market share Suppose that the market share y...Ch. 5.3 - 62. Advertising An advertising agency has found...Ch. 5.3 - 63. Pollution Pollution levels in a lake have been...Ch. 5.3 - 64. Fish length Suppose that the length x (in...Ch. 5.3 - Prob. 65ECh. 5.3 - Prob. 66ECh. 5.3 - 67. Modeling Diabetes The following table gives...Ch. 5 - 1. Write each statement in logarithmic form. Ch. 5 - Prob. 2RECh. 5 - Prob. 3RECh. 5 - Prob. 4RECh. 5 - Prob. 5RECh. 5 - Prob. 6RECh. 5 - Prob. 7RECh. 5 - Prob. 8RECh. 5 - Prob. 9RECh. 5 - Prob. 10RECh. 5 - Prob. 11RECh. 5 - Prob. 12RECh. 5 - In Problems 13-20, evaluate each logarithm without...Ch. 5 - Prob. 14RECh. 5 - Prob. 15RECh. 5 - In Problems 13-20, evaluate each logarithm without...Ch. 5 - In Problems 13-20, evaluate each logarithm without...Ch. 5 - Prob. 18RECh. 5 - Prob. 19RECh. 5 - Prob. 20RECh. 5 - Prob. 21RECh. 5 - Prob. 22RECh. 5 - In Problems 21-24, if , find each of the following...Ch. 5 - In Problems 21-24, if , find each of the following...Ch. 5 - Prob. 25RECh. 5 - Prob. 26RECh. 5 - 27. Is it true that ln for all positive values of...Ch. 5 - Prob. 28RECh. 5 - Prob. 29RECh. 5 - Prob. 30RECh. 5 - 31. If Ch. 5 - Prob. 32RECh. 5 - Prob. 33RECh. 5 - Prob. 34RECh. 5 - Prob. 35RECh. 5 - Prob. 36RECh. 5 - In Problems 36-42, solve each equation. 37. Ch. 5 - Prob. 38RECh. 5 - In Problems 36-42, solve each equation. 39. Ch. 5 - In Problems 36-42, solve each equation. 40. Ch. 5 - Prob. 41RECh. 5 - In Problems 36-42, solve each equation. 42. Ch. 5 - Prob. 43RECh. 5 - Prob. 45RECh. 5 - Prob. 46RECh. 5 - Prob. 48RECh. 5 - Prob. 49RECh. 5 - 50. Sales decay The sales decay for a product is...Ch. 5 - Prob. 51RECh. 5 - 54. Compound interest If $1000 is invested at 12%,...Ch. 5 - 55. Compound interest If $5000 is invested at...Ch. 5 - Prob. 54RECh. 5 - Prob. 55RECh. 5 - Prob. 56RECh. 5 - Prob. 1TCh. 5 - Prob. 2TCh. 5 - Prob. 3TCh. 5 - Prob. 4TCh. 5 - Prob. 5TCh. 5 - Prob. 6TCh. 5 - Prob. 7TCh. 5 - Prob. 8TCh. 5 - Prob. 9TCh. 5 - Prob. 10TCh. 5 - Prob. 11TCh. 5 - Prob. 12TCh. 5 - Prob. 13TCh. 5 - Prob. 14TCh. 5 - Prob. 15TCh. 5 - Prob. 16TCh. 5 - Prob. 17TCh. 5 - Prob. 18TCh. 5 - Prob. 19TCh. 5 - Prob. 20TCh. 5 - Prob. 21TCh. 5 - Prob. 22TCh. 5 - Prob. 23TCh. 5 - Prob. 24TCh. 5 - Prob. 25TCh. 5 - Prob. 26TCh. 5 - 27. The total national health expenditures per...Ch. 5 - 28. A company plans to phase out one model of its...Ch. 5 - Prob. 30T
Knowledge Booster
Background pattern image
Math
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Text book image
College Algebra
Algebra
ISBN:9781938168383
Author:Jay Abramson
Publisher:OpenStax
Text book image
Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
Mod-01 Lec-01 Discrete probability distributions (Part 1); Author: nptelhrd;https://www.youtube.com/watch?v=6x1pL9Yov1k;License: Standard YouTube License, CC-BY
Discrete Probability Distributions; Author: Learn Something;https://www.youtube.com/watch?v=m9U4UelWLFs;License: Standard YouTube License, CC-BY
Probability Distribution Functions (PMF, PDF, CDF); Author: zedstatistics;https://www.youtube.com/watch?v=YXLVjCKVP7U;License: Standard YouTube License, CC-BY
Discrete Distributions: Binomial, Poisson and Hypergeometric | Statistics for Data Science; Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=lHhyy4JMigg;License: Standard Youtube License