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Math Algebra College Algebra Essentials

According to the CIA’s World Fact Book, in 2010, the population of the United States was approximately 310 million with a 0.97% annual growth rate. ( Source : www.cia.gov) At this rate, the population P ( t ) (in millions) can be approximated by P ( t ) = 310(1.0097) t , where t is the time in years since 2010. a. Is the graph of P an increasing or decreasing exponential function? b. Evaluate P (0) and interpret its meaning in the context of this problem. c. Evaluate P (10) and interpret its meaning in the context of this problem. Round the population value to the nearest million. d. Evaluate P (20) and P (30). e. Evaluate P (200) and use this result to determine if it is reasonable to expect this model to continue indefinitely.

According to the CIA’s World Fact Book, in 2010, the population of the United States was approximately 310 million with a 0.97% annual growth rate. ( Source : www.cia.gov) At this rate, the population P ( t ) (in millions) can be approximated by P ( t ) = 310(1.0097) t , where t is the time in years since 2010. a. Is the graph of P an increasing or decreasing exponential function? b. Evaluate P (0) and interpret its meaning in the context of this problem. c. Evaluate P (10) and interpret its meaning in the context of this problem. Round the population value to the nearest million. d. Evaluate P (20) and P (30). e. Evaluate P (200) and use this result to determine if it is reasonable to expect this model to continue indefinitely.

College Algebra Essentials

College Algebra Essentials

1st Edition

ISBN: 9780078035616

Author: Julie Miller

Publisher: MCG

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Textbook Question

Chapter 4.2, Problem 65PE

According to the CIA’s World Fact Book, in 2010, the population of the United States was approximately 310 million with a 0.97% annual growth rate. (Source: www.cia.gov) At this rate, the population P(t) (in millions) can be approximated by P(t) = 310(1.0097)^t, where t is the time in years since 2010.

a. Is the graph of P an increasing or decreasing exponential function?

b. Evaluate P(0) and interpret its meaning in the context of this problem.

c. Evaluate P(10) and interpret its meaning in the context of this problem. Round the population value to the nearest million.

d. Evaluate P(20) and P(30).

e. Evaluate P(200) and use this result to determine if it is reasonable to expect this model to continue indefinitely.

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Chapter 4.2, Problem 64PE

Chapter 4.2, Problem 66PE

Chapter 4 Solutions

College Algebra Essentials

Ch. 4.1 - Skill Practice 1 Determine whether function f is a...Ch. 4.1 - Prob. 2SP Ch. 4.1 - Prob. 3SP Ch. 4.1 - Prob. 4SP Ch. 4.1 - Prob. 5SP Ch. 4.1 - Prob. 6SP Ch. 4.1 - Prob. 7SP Ch. 4.1 - Prob. 8SP Ch. 4.1 - Prob. 1PE Ch. 4.1 - Prob. 2PE

Ch. 4.1 - Prob. 3PE Ch. 4.1 - Prob. 4PE Ch. 4.1 - Prob. 5PE Ch. 4.1 - Prob. 6PE Ch. 4.1 - Prob. 7PE Ch. 4.1 - Prob. 8PE Ch. 4.1 - Prob. 9PE Ch. 4.1 - Prob. 10PE Ch. 4.1 - Prob. 11PE Ch. 4.1 - Prob. 12PE Ch. 4.1 - Prob. 13PE Ch. 4.1 - Prob. 14PE Ch. 4.1 - Prob. 15PE Ch. 4.1 - Prob. 16PE Ch. 4.1 - Prob. 17PE Ch. 4.1 - Prob. 18PE Ch. 4.1 - Prob. 19PE Ch. 4.1 - Prob. 20PE Ch. 4.1 - Prob. 21PE Ch. 4.1 - Prob. 22PE Ch. 4.1 - Prob. 23PE Ch. 4.1 - Prob. 24PE Ch. 4.1 - Prob. 25PE Ch. 4.1 - Prob. 26PE Ch. 4.1 - Prob. 27PE Ch. 4.1 - Prob. 28PE Ch. 4.1 - Prob. 29PE Ch. 4.1 - Prob. 30PE Ch. 4.1 - Prob. 31PE Ch. 4.1 - Prob. 32PE Ch. 4.1 - Prob. 33PE Ch. 4.1 - Prob. 34PE Ch. 4.1 - Prob. 35PE Ch. 4.1 - Prob. 36PE Ch. 4.1 - Prob. 37PE Ch. 4.1 - Prob. 38PE Ch. 4.1 - Prob. 39PE Ch. 4.1 - Prob. 40PE Ch. 4.1 - Prob. 41PE Ch. 4.1 - Prob. 42PE Ch. 4.1 - Prob. 43PE Ch. 4.1 - The monthly sales for January for a whole foods...Ch. 4.1 - a. Show that f(x) = 2 x 3 defines a one-to-one...Ch. 4.1 - a. Show that f(x) = 4 x+ 4 defines a one-to-one...Ch. 4.1 - For Exercises 4758, a one-to-one function is...Ch. 4.1 - For Exercises 4758, a one-to-one function is...Ch. 4.1 - For Exercises 4758, a one-to-one function is...Ch. 4.1 - Prob. 50PE Ch. 4.1 - Prob. 51PE Ch. 4.1 - Prob. 52PE Ch. 4.1 - Prob. 53PE Ch. 4.1 - Prob. 54PE Ch. 4.1 - Prob. 55PE Ch. 4.1 - Prob. 56PE Ch. 4.1 - Prob. 57PE Ch. 4.1 - Prob. 58PE Ch. 4.1 - Prob. 59PE Ch. 4.1 - Prob. 60PE Ch. 4.1 - Prob. 61PE Ch. 4.1 - Prob. 62PE Ch. 4.1 - Prob. 63PE Ch. 4.1 - Prob. 64PE Ch. 4.1 - Prob. 65PE Ch. 4.1 - Prob. 66PE Ch. 4.1 - Prob. 67PE Ch. 4.1 - Prob. 68PE Ch. 4.1 - Prob. 69PE Ch. 4.1 - Prob. 70PE Ch. 4.1 - Prob. 71PE Ch. 4.1 - Prob. 72PE Ch. 4.1 - Prob. 73PE Ch. 4.1 - Prob. 74PE Ch. 4.1 - Prob. 75PE Ch. 4.1 - Prob. 76PE Ch. 4.1 - Prob. 77PE Ch. 4.1 - Prob. 78PE Ch. 4.1 - Prob. 79PE Ch. 4.1 - Prob. 80PE Ch. 4.1 - Prob. 81PE Ch. 4.1 - Prob. 82PE Ch. 4.1 - Prob. 83PE Ch. 4.1 - Prob. 84PE Ch. 4.1 - Prob. 85PE Ch. 4.1 - Prob. 86PE Ch. 4.1 - 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Prob. 1SP Ch. 4.6 - Prob. 2SP Ch. 4.6 - Prob. 3SP Ch. 4.6 - Prob. 4SP Ch. 4.6 - Prob. 5SP Ch. 4.6 - Prob. 6SP Ch. 4.6 - Prob. 7SP Ch. 4.6 - Prob. 8SP Ch. 4.6 - Prob. 1PE Ch. 4.6 - Prob. 2PE Ch. 4.6 - Prob. 3PE Ch. 4.6 - Prob. 4PE Ch. 4.6 - Prob. 5PE Ch. 4.6 - Prob. 6PE Ch. 4.6 - Prob. 7PE Ch. 4.6 - Prob. 8PE Ch. 4.6 - Prob. 9PE Ch. 4.6 - Prob. 10PE Ch. 4.6 - Prob. 11PE Ch. 4.6 - Prob. 12PE Ch. 4.6 - Prob. 13PE Ch. 4.6 - Prob. 14PE Ch. 4.6 - Prob. 15PE Ch. 4.6 - Prob. 16PE Ch. 4.6 - Prob. 17PE Ch. 4.6 - Prob. 18PE Ch. 4.6 - Prob. 19PE Ch. 4.6 - Prob. 20PE Ch. 4.6 - Prob. 21PE Ch. 4.6 - Prob. 22PE Ch. 4.6 - Prob. 23PE Ch. 4.6 - Prob. 24PE Ch. 4.6 - Prob. 25PE Ch. 4.6 - Prob. 26PE Ch. 4.6 - Prob. 27PE Ch. 4.6 - Prob. 28PE Ch. 4.6 - Prob. 29PE Ch. 4.6 - Prob. 30PE Ch. 4.6 - Prob. 31PE Ch. 4.6 - Prob. 32PE Ch. 4.6 - Prob. 33PE Ch. 4.6 - Prob. 34PE Ch. 4.6 - Prob. 35PE Ch. 4.6 - Prob. 36PE Ch. 4.6 - Prob. 37PE Ch. 4.6 - Prob. 38PE Ch. 4.6 - Prob. 39PE Ch. 4.6 - The population of Canada P(t) (in millions) since...Ch. 4.6 - Prob. 41PE Ch. 4.6 - Prob. 42PE Ch. 4.6 - Prob. 43PE Ch. 4.6 - Prob. 44PE Ch. 4.6 - Prob. 45PE Ch. 4.6 - Prob. 46PE Ch. 4.6 - Prob. 47PE Ch. 4.6 - Prob. 48PE Ch. 4.6 - Prob. 49PE Ch. 4.6 - Prob. 50PE Ch. 4.6 - Prob. 51PE Ch. 4.6 - Prob. 52PE Ch. 4.6 - Prob. 53PE Ch. 4.6 - Prob. 54PE Ch. 4.6 - Prob. 55PE Ch. 4.6 - Prob. 56PE Ch. 4.6 - Prob. 57PE Ch. 4.6 - The sales of a book tend to increase over the...Ch. 4.6 - Prob. 59PE Ch. 4.6 - Prob. 60PE Ch. 4.6 - Prob. 61PE Ch. 4.6 - Prob. 62PE Ch. 4.6 - Prob. 63PE Ch. 4.6 - Prob. 64PE Ch. 4.6 - Prob. 65PE Ch. 4.6 - Prob. 66PE Ch. 4.6 - Prob. 67PE Ch. 4 - Prob. 1PRE Ch. 4 - Prob. 2PRE Ch. 4 - Prob. 3PRE Ch. 4 - Prob. 4PRE Ch. 4 - Prob. 5PRE Ch. 4 - Prob. 6PRE Ch. 4 - Prob. 7PRE Ch. 4 - Prob. 8PRE Ch. 4 - Prob. 9PRE Ch. 4 - Prob. 10PRE Ch. 4 - Prob. 11PRE Ch. 4 - Prob. 12PRE Ch. 4 - Prob. 13PRE Ch. 4 - Prob. 14PRE Ch. 4 - Prob. 1RE Ch. 4 - Prob. 2RE Ch. 4 - Prob. 3RE Ch. 4 - Prob. 4RE Ch. 4 - Prob. 5RE Ch. 4 - Prob. 6RE Ch. 4 - Prob. 7RE Ch. 4 - Prob. 8RE Ch. 4 - Prob. 9RE Ch. 4 - Prob. 10RE Ch. 4 - Prob. 11RE Ch. 4 - Prob. 12RE Ch. 4 - Prob. 13RE Ch. 4 - Prob. 14RE Ch. 4 - Prob. 15RE Ch. 4 - Prob. 16RE Ch. 4 - Prob. 17RE Ch. 4 - Prob. 18RE Ch. 4 - For Exercises 1819, use the formulas on page 450....Ch. 4 - Prob. 20RE Ch. 4 - Prob. 21RE Ch. 4 - Prob. 22RE Ch. 4 - Prob. 23RE Ch. 4 - Prob. 24RE Ch. 4 - Prob. 25RE Ch. 4 - Prob. 26RE Ch. 4 - Prob. 27RE Ch. 4 - Prob. 28RE Ch. 4 - Prob. 29RE Ch. 4 - Prob. 30RE Ch. 4 - Prob. 31RE Ch. 4 - Prob. 32RE Ch. 4 - Prob. 33RE Ch. 4 - Prob. 34RE Ch. 4 - Prob. 35RE Ch. 4 - Prob. 36RE Ch. 4 - Prob. 37RE Ch. 4 - Prob. 38RE Ch. 4 - Prob. 39RE Ch. 4 - Prob. 40RE Ch. 4 - Prob. 41RE Ch. 4 - Prob. 42RE Ch. 4 - Prob. 43RE Ch. 4 - Prob. 44RE Ch. 4 - Prob. 45RE Ch. 4 - Prob. 46RE Ch. 4 - Prob. 47RE Ch. 4 - Prob. 48RE Ch. 4 - Prob. 49RE Ch. 4 - Prob. 50RE Ch. 4 - Prob. 51RE Ch. 4 - Prob. 52RE Ch. 4 - Prob. 53RE Ch. 4 - Prob. 54RE Ch. 4 - Prob. 55RE Ch. 4 - Prob. 56RE Ch. 4 - Prob. 57RE Ch. 4 - Prob. 58RE Ch. 4 - Prob. 59RE Ch. 4 - Prob. 60RE Ch. 4 - Prob. 61RE Ch. 4 - Prob. 62RE Ch. 4 - Prob. 63RE Ch. 4 - Prob. 64RE Ch. 4 - Prob. 65RE Ch. 4 - Prob. 66RE Ch. 4 - Prob. 67RE Ch. 4 - Prob. 68RE Ch. 4 - Prob. 69RE Ch. 4 - Prob. 70RE Ch. 4 - Prob. 71RE Ch. 4 - Prob. 72RE Ch. 4 - Prob. 73RE Ch. 4 - Prob. 74RE Ch. 4 - Prob. 75RE Ch. 4 - Prob. 76RE Ch. 4 - Prob. 77RE Ch. 4 - Prob. 78RE Ch. 4 - Prob. 79RE Ch. 4 - Prob. 80RE Ch. 4 - Prob. 81RE Ch. 4 - Prob. 82RE Ch. 4 - Prob. 83RE Ch. 4 - Prob. 84RE Ch. 4 - Prob. 85RE Ch. 4 - Prob. 86RE Ch. 4 - Prob. 87RE Ch. 4 - Prob. 88RE Ch. 4 - Prob. 89RE Ch. 4 - Prob. 90RE Ch. 4 - Prob. 91RE Ch. 4 - Prob. 92RE Ch. 4 - Prob. 1T Ch. 4 - Prob. 2T Ch. 4 - Prob. 3T Ch. 4 - Prob. 4T Ch. 4 - Prob. 5T Ch. 4 - Prob. 6T Ch. 4 - Prob. 7T Ch. 4 - Prob. 8T Ch. 4 - Prob. 9T Ch. 4 - Prob. 10T Ch. 4 - Prob. 11T Ch. 4 - Prob. 12T Ch. 4 - Prob. 13T Ch. 4 - Prob. 14T Ch. 4 - Prob. 15T Ch. 4 - Prob. 16T Ch. 4 - Prob. 17T Ch. 4 - Prob. 18T Ch. 4 - Prob. 19T Ch. 4 - Prob. 20T Ch. 4 - Prob. 21T Ch. 4 - Prob. 22T Ch. 4 - Prob. 23T Ch. 4 - Prob. 24T Ch. 4 - Prob. 25T Ch. 4 - Prob. 26T Ch. 4 - Prob. 27T Ch. 4 - Prob. 28T Ch. 4 - Prob. 29T Ch. 4 - Prob. 30T Ch. 4 - Prob. 31T Ch. 4 - Prob. 32T Ch. 4 - Prob. 33T Ch. 4 - Prob. 34T Ch. 4 - Prob. 35T Ch. 4 - Prob. 36T Ch. 4 - Prob. 37T Ch. 4 - Prob. 38T Ch. 4 - Prob. 39T Ch. 4 - Prob. 40T Ch. 4 - Prob. 41T Ch. 4 - Prob. 42T Ch. 4 - Prob. 1CRE Ch. 4 - Prob. 2CRE Ch. 4 - Prob. 3CRE Ch. 4 - Prob. 4CRE Ch. 4 - Prob. 5CRE Ch. 4 - Prob. 6CRE Ch. 4 - Prob. 7CRE Ch. 4 - Prob. 8CRE Ch. 4 - Prob. 9CRE Ch. 4 - Prob. 10CRE Ch. 4 - Prob. 11CRE Ch. 4 - Prob. 12CRE Ch. 4 - Prob. 13CRE Ch. 4 - Prob. 14CRE Ch. 4 - Prob. 15CRE Ch. 4 - Prob. 16CRE Ch. 4 - Prob. 17CRE Ch. 4 - Prob. 18CRE Ch. 4 - Write the expression as a single logarithm and...Ch. 4 - Prob. 20CRE

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