Solutions for EBK PRECALCULUS: MATHEMATICS FOR CALCUL
Problem 1E:
Explain in your own words what it means for an equation to model a real-world situation, and give an...Problem 2E:
In the formula I = Prt for simple interest. P stands for _____, r for _____, and t for _____.Problem 4E:
Balsamic vinegar contains 5% acetic acid, so a 32-oz bottle of balsamic vinegar contains _____...Problem 6E:
The formula d = rt models the distance d traveled by an object moving at the constant rate r in time...Problem 8E:
SKILLS Using Variables Express the given quantity in terms of the indicated variable. 8. The sum of...Problem 22E:
Cell Phone Costs A cell phone company charges a monthly fee of 10 for the first 1000 text messages...Problem 23E:
Average Linh has obtained scores of 82, 75, and 71 on her midterm algebra exams. If the final exam...Problem 25E:
Investments Phyllis invested 12,000, a portion earning a simple interest rate of 412 per year and...Problem 26E:
Investments If Ben invests 4000 at 4% interest per year, how much additional money must he invest at...Problem 29E:
Salaries An executive in an engineering firm earns a monthly salary plus a Christmas bonus of 8500....Problem 31E:
Overtime Pay Helen earns 7.50 an hour at her job, but if she works more than 35 hours in a week, she...Problem 33E:
A Riddle A movie star, unwilling to give his age, posed the following riddle to a gossip columnist:...Problem 34E:
Career Home Runs During his major league career, Hank Aaron hit 41 more home runs than Babe Ruth hit...Problem 35E:
Value of Coins A change purse contains an equal number of pennies, nickels, and dimes. The total...Problem 36E:
Value of Coins Mary has 3.00 in nickels, dimes, and quarters. If she has twice as many dimes as...Problem 37E:
Length of a Garden A rectangular garden is 25 ft wide. If its area is 1125 ft2, what is the length...Problem 39E:
Dimensions of a Lot A square plot of land has a building 60 ft long and 40 ft wide at one comer. The...Problem 41E:
Dimensions of a Garden A rectangular garden is 10 ft longer than it is wide. Its area is 875 ft2....Problem 45E:
Dimensions of a Lot A rectangular parcel of land is 50 ft wide. The length of a diagonal between...Problem 46E:
Dimensions of a Track A running track has the shape shown in the figure, with straight sides and...Problem 49E:
Framing a Painting Ali paints with watercolors on a sheet of paper 20 in. wide by 15 in. high. He...Problem 50E:
Dimensions of a Poster A poster has a rectangular printed area 100 cm by 140 cm and a blank strip of...Problem 53E:
Length of a Shadow A man is walking away from a lamppost with a light source 6 m above the ground....Problem 54E:
Height of a Tree A woodcutter determines the height of a tall tree by first measuring a smaller one...Problem 56E:
Mixture Problem What amount of pure acid must be added to 300 mL of a 50% acid solution to produce a...Problem 57E:
Mixture Problem A jeweler has five rings, each weighing 18 g, made of an alloy of 10% silver and 90%...Problem 58E:
Mixture Problem A pot contains 6 L of brine at a concentration of 120 g/L. How much of the water...Problem 59E:
Mixture Problem The radiator in a car is filled with a solution of 60% antifreeze and 40% water. The...Problem 61E:
Mixture Problem A bottle contains 750 mL of fruit punch with a concentration of 50% pure fruit...Problem 62E:
Mixture Problem A merchant blends tea that sells for 3.00 an ounce with tea that sells for 2.75 an...Problem 63E:
Sharing a Job Candy and Tim share a paper route. It takes Candy 70 min to deliver all the papers,...Problem 65E:
Sharing a Job Betty and Karen have been hired to paint the houses in a new development. Working...Problem 66E:
Sharing a Job Next-door neighbors Bob and Jim use hoses from both houses to fill Bobs swimming pool....Problem 67E:
Sharing a Job Henry and Irene working together can wash all the windows of their house in 1 h 48...Problem 68E:
Sharing a Job Jack, Kay, and Lynn deliver advertising flyers in a small town. If each person works...Problem 69E:
Distance, Speed, and Time Wendy took a trip from Davenport to Omaha, a distance of 300 mi. She...Problem 70E:
Distance, Speed, and Time Two cyclists, 90 mi apart, start riding toward each other at the same...Problem 71E:
Distance, Speed, and Time A pilot flew a jet from Montreal to Los Angeles, a distance of 2500 mi. On...Problem 72E:
Distance, Speed, and Time A woman driving a car 14 ft long is passing a truck 30 ft long. The truck...Problem 73E:
Distance, Speed, and Time A salesman drives from Ajax to Barrington, a distance of 120 mi, at a...Problem 74E:
Distance, Speed, and Time Kiran drove from Tortula to Cactus, a distance of 250 mi. She increased...Problem 75E:
Distance, Speed, and Time It took a crew 2 h 40 min to row 6 km upstream and back again. If the rate...Problem 76E:
Speed of a Boat Two fishing boats depart a harbor at the same time, one traveling east, the other...Problem 77E:
Law of the Lever The figure shows a lever system, similar to a seesaw that you might find in a...Problem 78E:
Law of the Lever A plank 30 ft long rests on top of a flat-roofed building, with 5 ft of the plank...Problem 79E:
Dimensions of a Box A large plywood box has a volume of 180 ft3. Its length is 9 ft greater than its...Problem 84E:
Dimensions of a Lot A city lot has the shape of a right triangle whose hypotenuse is 7 ft longer...Problem 85E:
Construction Costs The town of Foxton lies 10 mi north of an abandoned east-west road that runs...Problem 86E:
Distance, Speed, and Time A boardwalk is parallel to and 210 ft inland from a straight shoreline. A...Problem 87E:
Volume of Grain Grain is falling from a chute onto the ground, forming a conical pile whose diameter...Problem 88E:
Computer Monitors Two computer monitors sitting side by side on a shelf in an appliance store have...Browse All Chapters of This Textbook
Chapter 1 - FundamentalsChapter 1.1 - Real NumbersChapter 1.2 - Exponents And RadicalsChapter 1.3 - Algebraic ExpressionsChapter 1.4 - Rational ExpressionsChapter 1.5 - EquationsChapter 1.6 - Complex NumbersChapter 1.7 - Modeling With EquationsChapter 1.8 - InequalitiesChapter 1.9 - The Coordinate Plane; Graphs Of Equations; Circles
Chapter 1.10 - LinesChapter 1.11 - Solving Equations And Inequalities GraphicallyChapter 1.12 - Modeling VariationChapter 2 - FunctionsChapter 2.1 - FunctionsChapter 2.2 - Graphs Of FunctionsChapter 2.3 - Getting Information From The Graph Of A FunctionChapter 2.4 - Average Rate Of Change Of A FunctionChapter 2.5 - Linear Functions And ModelsChapter 2.6 - Transformations Of FunctionsChapter 2.7 - Combining FunctionsChapter 2.8 - One-to-one Functions And Their InversesChapter 3 - Polynomial And Rational FunctionsChapter 3.1 - Quadratic Functions And ModelsChapter 3.2 - Polynomial Functions And Their GraphsChapter 3.3 - Dividing PolynomialsChapter 3.4 - Real Zeros Of PolynomialsChapter 3.5 - Complex Zeros And The Fundamental Theorem Of AlgebraChapter 3.6 - Rational FunctionsChapter 3.7 - Polynomial And Rational InequalitiesChapter 4 - Exponential And Logarithmic FunctionsChapter 4.1 - Exponential FunctionsChapter 4.2 - The Natural Exponential FunctionChapter 4.3 - Logarithmic FunctionsChapter 4.4 - Laws Of LogarithmsChapter 4.5 - Exponential And Logarithmic EquationsChapter 4.6 - Modeling With Exponential FunctionsChapter 4.7 - Logarithmic ScalesChapter 5 - Trigonometric Functions: Unit Circle ApproachChapter 5.1 - The Unit CircleChapter 5.2 - Trigonometric Functions Of Real NumbersChapter 5.3 - Trigonometric GraphsChapter 5.4 - More Trigonometric GraphsChapter 5.5 - Inverse Trigonometric Functions And Their GraphsChapter 5.6 - Modeling Harmonic MotionChapter 6 - Trigonometric Functions: Right Triangle ApproachChapter 6.1 - Angle MeasureChapter 6.2 - Trigonometry Of Right TrianglesChapter 6.3 - Trigonometric Functions Of AnglesChapter 6.4 - Inverse Trigonometric Functions And Right TrianglesChapter 6.5 - The Law Of SinesChapter 6.6 - The Law Of CosinesChapter 7 - Analytic TrigonometryChapter 7.1 - Trigonometric IdentitiesChapter 7.2 - Addition And Subtraction FormulasChapter 7.3 - Double-angle, Half-angle, And Product-sum FormulasChapter 7.4 - Basic Trigonometric EquationsChapter 7.5 - More Trigonometric EquationsChapter 8 - Polar Coordinates And Parametric EquationsChapter 8.1 - Polar CoordinatesChapter 8.2 - Graphs Of Polar EquationsChapter 8.3 - Polar Form Of Complex Numbers; De Moivre's TheoremChapter 8.4 - Plane Curves And Parametric EquationsChapter 9 - Vectors In Two And Three DimensionsChapter 9.1 - Vectors In Two DimensionsChapter 9.2 - The Dot ProductChapter 9.3 - Three-dimensional Coordinate GeometryChapter 9.4 - Vectors In Three DimensionsChapter 9.5 - The Cross ProductChapter 9.6 - Equations Of Lines And PlanesChapter 10 - Systems Of Equations And InequalitiesChapter 10.1 - Systems Of Linear Equations In Two VariablesChapter 10.2 - Systems Of Linear Equations In Several VariablesChapter 10.3 - Matrices And Systems Of Linear EquationsChapter 10.4 - The Algebra Of MatricesChapter 10.5 - Inverses Of Matrices And Matrix EquationsChapter 10.6 - Determinants And Cramer's RuleChapter 10.7 - Partial FractionsChapter 10.8 - Systems Of Nonlinear EquationsChapter 10.9 - Systems Of InequalitiesChapter 11 - Conic SectionsChapter 11.1 - ParabolasChapter 11.2 - EllipsesChapter 11.3 - HyperbolasChapter 11.4 - Shifted ConicsChapter 11.5 - Rotation Of AxesChapter 11.6 - Polar Equations Of ConicsChapter 12 - Sequences And SeriesChapter 12.1 - Sequences And Summation NotationChapter 12.2 - Arithmetic SequencesChapter 12.3 - Geometric SequencesChapter 12.4 - Mathematics Of FinanceChapter 12.5 - Mathematical InductionChapter 12.6 - The Binomial TheoremChapter 13 - Limits: A Preview Of CalculusChapter 13.1 - Finding Limits Numerically And GraphicallyChapter 13.2 - Finding Limits AlgebraicallyChapter 13.3 - Tangent Lines And DerivativesChapter 13.4 - Limits At Infinity; Limits Of SequencesChapter 13.5 - Areas
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This bestselling author team explains concepts simply and clearly, without glossing over difficult points. Problem solving and mathematical modeling are introduced early and reinforced throughout, providing students with a solid foundation in the principl
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