Solutions for MAT 171 ACCESS CODE
Problem 2SP:
Suppose that $10,000 is invested and at the end of 5 yr, the value of the account is $13,771.28. Use...Problem 3SP:
On January 1, 2000, the population of Texas was approximately 21 million. On January 1, 2010, the...Problem 4SP:
a. Given Pt=10,00020.4t, write the rule for this function using base e. b. Find the function value...Problem 5SP:
Use the function Qt=Q0e0.000121t to determine the age of a piece of wood that has 42 of its...Problem 6SP:
The score on a test of dexterity is by Pt=1001+19e0.354x , where x is the number of times the is...Problem 7SP:
For the given data, a. Graph the data points. b. Use a graphing utility to find a model form y=abx...Problem 8SP:
For the given data, a. Graph the data points. b. Use a graphing utility to find a model of the form...Problem 1PE:
If k0, the equation y=y0ekt is a model for exponential (growth/decay), whereas if k0, the equation...Problem 2PE:
A function defined by y=abx can be written in terms of an exponential function base e as .Problem 3PE:
A function defined by y=c1+aebt is called a growth model and imposes a limiting value on y.Problem 5PE:
For Exercises 5-14, solve for the indicated variable. (See Example 1) Q=Q0ektforkusedinchemistryProblem 6PE:
For Exercises 5-14, solve for the indicated variable. (See Example 1) N=N0e0.025tfortusedinchemistryProblem 9PE:
For Exercises 5-14, solve for the indicated variable. (See Example 1) pH=logH+forH+usedinchemistryProblem 10PE:
For Exercises 5-14, solve for the indicated variable. (See Example 1) L=10logII0forIusedinmedicineProblem 11PE:
For Exercises 5-14, solve for the indicated variable. (See Example 1) A=P1+rtfortusedinfinanceProblem 12PE:
For Exercises 5-14, solve for the indicated variable. (See Example 1) A=PertforrusedinfinanceProblem 13PE:
For Exercises 5-14, solve for the indicated variable. (See Example 1) InkA=ERTforkusedinchemistryProblem 15PE:
Suppose that $12,000 is invested in a bond fund and the account grows to $14,309.26 in 4 yr. (See...Problem 16PE:
Suppose that $50,000 from a retirement account is invested in a large cap stock fund. After 20 yr....Problem 17PE:
Suppose that P dollars in principal is invested in an account earning 3.2 interest compounded...Problem 18PE:
Suppose that P dollars in principal is invested in an account earning 2.1 interest compounded...Problem 19PE:
The populations of two countries are given for January 1, 2000, and for January 1, 2010. a. Write a...Problem 20PE:
The populations of two countries are given for January 1, 2000, and for January 1, 2010. a. Write a...Problem 21PE:
A function of the form Pt=abt represents the population (in millions) of the given country t years...Problem 22PE:
A function of the form Pt=abt represents the population (in millions) of the given country t years...Problem 24PE:
For Exercises 23-24, refer to the model Qt=Q0e0.000121t used in Example 5 for radiocarbon dating. At...Problem 25PE:
The isotope of plutonium 238Pu is used to make thermoelectric power sources for spacecraft. Suppose...Problem 26PE:
Technetium-99 99mTc is a radionuclide used widely in nuclear medicine.99mTc is combined with another...Problem 27PE:
Fluorodeoxyglucose is a derivative of glucose that contains the radionuclide fluorine-18 18F. A...Problem 28PE:
Painful bone metastases are common in advanced prostate cancer. Physicians often order treatment...Problem 29PE:
Two million E. coli bacteria are present in a laboratory culture. An antibacterial agent is...Problem 30PE:
The half-life of radium-226 is 1620 yr. Given a sample of 1 g of radium-226, the quantity left Qt...Problem 31PE:
The population of the United States Pt (in millions) since January 1, 1900, can be approximated by...Problem 32PE:
The population of Canada Pt (in millions) since January 1, 1900, can be approximated by...Problem 33PE:
The number of computers Nt (in millions) infected by a computer virus can be approximated by...Problem 34PE:
After a new product is launched the cumulative sales Stin$1000t weeks after launch is given by...Problem 35PE:
For Exercises 35-38, a graph of data is given. From visual inspection, which model would best fit...Problem 36PE:
For Exercises 35-38, a graph of data is given. From visual inspection, which model would best fit...Problem 37PE:
For Exercises 35-38, a graph of data is given. From visual inspection, which model would best fit...Problem 38PE:
For Exercises 35-38, a graph of data is given. From visual inspection, which model would best fit...Problem 39PE:
For Exercises 39-46, a table of data is given. a. Graph the points and from visual inspection,...Problem 40PE:
For Exercises 39-46, a table of data is given. a. Graph the points and from visual inspection,...Problem 41PE:
For Exercises 39-46, a table of data is given. a. Graph the points and from visual inspection,...Problem 42PE:
For Exercises 39-46, a table of data is given. a. Graph the points and from visual inspection,...Problem 43PE:
For Exercises 39-46, a table of data is given. a. Graph the points and from visual inspection,...Problem 44PE:
For Exercises 39-46, a table of data is given. a. Graph the points and from visual inspection,...Problem 45PE:
For Exercises 39-46, a table of data is given. a. Graph the points and from visual inspection,...Problem 46PE:
For Exercises 39-46, a table of data is given. a. Graph the points and from visual inspection,...Problem 47PE:
During a recent outbreak of Ebola in western Africa, the cumulative number of cases y was reported t...Problem 48PE:
The monthly costs for a small company to do business has been increasing over time due in part to...Problem 49PE:
The age of a tree t (in yr) and its corresponding height Ht are given in the table. (See Example 8)...Problem 50PE:
The sales of a book tend to increase over the short-term as word-of-mouth makes the book “catch...Problem 51PE:
A van is purchased new for $29,200. a. Write a linear function of the form y=mt+b to represent the...Problem 52PE:
A delivery truck is purchased new for $54,000 . a. Write a linear function of the form y=mt+b to...Problem 53PE:
Why is it important to graph a set of data before trying to find an equation or function to model...Browse All Chapters of This Textbook
Chapter R - Review Of PrerequisitesChapter R.1 - Sets And The Real Number LineChapter R.2 - Exponents And RadicalsChapter R.3 - Polynomials And FactoringChapter R.4 - Rational Expressions And More Operations On RadicalsChapter R.5 - Equations With Real SolutionsChapter R.6 - Complex Numbers And More Quadratic EquationsChapter R.7 - Applications Of EquationsChapter R.8 - Linear, Compound, And Absolute Value InequalitiesChapter 1 - Functions And Relations
Chapter 1.1 - The Rectangular Coordinate System And Graphing UtilitiesChapter 1.2 - CirclesChapter 1.3 - Functions And RelationsChapter 1.4 - Linear Equations In Two Variables And Linear FunctionsChapter 1.5 - Applications Of Linear Equations And ModelingChapter 1.6 - Transformations Of GraphsChapter 1.7 - Analyzing Graphs Of Functions And Piecewise-defined FunctionsChapter 1.8 - Algebra Of Functions And Function CompositionChapter 2 - Polynomial And Rational FunctionsChapter 2.1 - Quadratic Functions And ApplicationsChapter 2.2 - Introduction To Polynomial FunctionsChapter 2.3 - Division Of Polynomials And The Remainder And Factor TheoremsChapter 2.4 - Zeros Of PolynomialsChapter 2.5 - Rational FunctionsChapter 2.6 - Polynomial And Rational InequalitiesChapter 2.7 - VariationChapter 3 - Exponential And Logarithmic FunctionsChapter 3.1 - Inverse FunctionsChapter 3.2 - Exponential FunctionsChapter 3.3 - Logarithmic FunctionsChapter 3.4 - Properties Of LogarithmsChapter 3.5 - Exponential And Logarithmic Equations And ApplicationsChapter 3.6 - Modeling With Exponential And Logarithmic FunctionsChapter 4 - Trigonometric FunctionsChapter 4.1 - Angles And Their MeasureChapter 4.2 - Trigonometric Functions Defined On The Unit CircleChapter 4.3 - Right Triangle TrigonometryChapter 4.4 - Trigonometric Functions Of Any AngleChapter 4.5 - Graphs Of Sine And Cosine FunctionsChapter 4.6 - Graphs Of Other Trigonometric FunctionsChapter 4.7 - Inverse Trigonometric FunctionsChapter 5 - Analytic TrigonometryChapter 5.1 - Fundamental Trigonometric IdentitiesChapter 5.2 - Sum And Difference FormulasChapter 5.3 - Double-angle, Power-reducing, And Half-angle FormulasChapter 5.4 - Product-to-sum And Sum-to-product FormulasChapter 5.5 - Trigonometric EquationsChapter 6 - Applications Of Trigonometric FunctionsChapter 6.1 - Applications Of Right TrianglesChapter 6.2 - The Law Of SinesChapter 6.3 - The Law Of CosinesChapter 6.4 - Harmonic MotionChapter 7 - Trigonometry Applied To Polar Coordinate Systems And VectorsChapter 7.1 - Polar CoordinatesChapter 7.2 - Graphs Of Polar EquationsChapter 7.3 - Complex Numbers In Polar FormChapter 7.4 - VectorsChapter 7.5 - Dot ProductChapter 8 - Systems Of Equations And InequalitiesChapter 8.1 - Systems Of Linear Equations In Two Variables And ApplicationsChapter 8.2 - Systems Of Linear Equations In Three Variables And ApplicationsChapter 8.3 - Partial Fraction DecompositionChapter 8.4 - Systems Of Nonlinear Equations In Two VariablesChapter 8.5 - Inequalities And Systems Of Inequalities In Two VariablesChapter 8.6 - Linear ProgrammingChapter 9 - Matrices And Determinants And ApplicationsChapter 9.1 - Solving Systems Of Linear Equations Using MatricesChapter 9.2 - Inconsistent Systems And Dependent EquationsChapter 9.3 - Operations On MatricesChapter 9.4 - Inverse Matrices And Matrix EquationsChapter 9.5 - Determinants And Cramer’s RuleChapter 10 - Analytic GeometryChapter 10.1 - The EllipseChapter 10.2 - The HyperbolaChapter 10.3 - The ParabolaChapter 10.4 - Rotation Of AxesChapter 10.5 - Polar Equations Of ConicsChapter 10.6 - Plane Curves And Parametric EquationsChapter 11 - Sequences, Series, Induction, And ProbabilityChapter 11.1 - Sequences And SeriesChapter 11.2 - Arithmetic Sequences And SeriesChapter 11.3 - Geometric Sequences And SeriesChapter 11.4 - Mathematical InductionChapter 11.5 - The Binomial TheoremChapter 11.6 - Principles Of CountingChapter 11.7 - Introduction To Probability
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