Precalculus: Graphical, Numerical, Algebraic 8th Edition solutions

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 110, solve the given formula for the given variable. Area of a Triangle Solve for \(h:\ A=\frac{1}{2}\ bh\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 110, solve the given formula for the given variable. Area of a Trapezoid Solve for \(h:\ A=\frac{1}{2}\left(b_1+b_2\right)h\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 110, solve the given formula for the given variable. Volume of a Right Circular Cylinder Solve for \(h:\ V=\pi r^2h\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 110, solve the given formula for the given variable. Volume of a Right Circular Cone Solve for \(h:\ V=\frac{1}{3}\pi r^2h\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 110, solve the given formula for the given variable. Volume of a Sphere Solve for \(r:\ V=\frac{4}{3}\pi r^3\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 110, solve the given formula for the given variable. Surface Area of a Sphere Solve for \(r: A=4 \pi r^{2}\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 110, solve the given formula for the given variable. Surface Area of a Right Circular Cylinder Solve for \(h: A=2 \pi r h+2 \pi r^{2}\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 110, solve the given formula for the given variable. Simple Interest Solve for \(t: I=P r t\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 110, solve the given formula for the given variable. Compound Interest Solve for \(P:\ A=P\left(1+\frac{r}{n}\right)^{nt}\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 110, solve the given formula for the given variable. Free-Fall from Height H Solve for \(t: s=H-\frac{1}{2} g t^{2}\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 110, write a mathematical expression for the quantity described verbally. Five more than three times a number x

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 110, write a mathematical expression for the quantity described verbally. A number x increased by 5 and then tripled

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 110, write a mathematical expression for the quantity described verbally. Seventeen percent of a number x

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 110, write a mathematical expression for the quantity described verbally. Four more than 5% of a number x

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 110, write a mathematical expression for the quantity described verbally. Area of a Rectangle The area of a rectangle whose length is 12 more than its width x

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 110, write a mathematical expression for the quantity described verbally. Area of a Triangle The area of a triangle whose altitude is 2 more than its base length x

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 110, write a mathematical expression for the quantity described verbally. Salary Increase A salary after a 4.5% increase, if the original salary is x dollars

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 110, write a mathematical expression for the quantity described verbally. Income Loss Income after a 3% drop in the current income of x dollars

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 110, write a mathematical expression for the quantity described verbally. Sale Price Sale price of an item marked x dollars, if 40% is discounted from the marked price

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 110, write a mathematical expression for the quantity described verbally. Including Tax Actual cost of an item selling for x dollars if the sales tax rate is 8.75%

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1114, choose a variable and write a mathematical expression for the quantity described verbally Total Cost The total cost is $34,500 plus $5.75 for each item produced.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1114, choose a variable and write a mathematical expression for the quantity described verbally. Total Cost The total cost is $28,000 increased by 9% plus $19.85 for each item produced.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1114, choose a variable and write a mathematical expression for the quantity described verbally. Revenue The revenue when each item sells for $3.75

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1114, choose a variable and write a mathematical expression for the quantity described verbally. Profit The profit consists of a franchise fee of $200,000 plus 12% of all sales.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1520, write the specified quantity as a function of the specified variable. It will help in each case to draw a picture. The height of a right circular cylinder equals its diameter. Write the volume of the cylinder as a function of its radius.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1520, write the specified quantity as a function of the specified variable. It will help in each case to draw a picture. One leg of a right triangle is twice as long as the other. Write the length of the hypotenuse as a function of the length of the shorter leg.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1520, write the specified quantity as a function of the specified variable. It will help in each case to draw a picture. The base of an isosceles triangle is half as long as the two equal sides. Write the area of the triangle as a function of the length of the base.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1520, write the specified quantity as a function of the specified variable. It will help in each case to draw a picture. A square is inscribed in a circle. Write the area of the square as a function of the radius of the circle.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1520, write the specified quantity as a function of the specified variable. It will help in each case to draw a picture. A sphere is contained in a cube, tangent to all six faces. Find the surface area of the cube as a function of the radius of the sphere.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1520, write the specified quantity as a function of the specified variable. It will help in each case to draw a picture. An isosceles triangle has its base along the x-axis with one base vertex at the origin and its vertex in the first quadrant on the graph of \(y=6-x^{2}\). Write th

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2136, write an equation for the problem and solve the problem. One positive number is 4 times another positive number. The sum of the two numbers is 620. Find the two numbers.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2136, write an equation for the problem and solve the problem. When a number is added to its double and its triple, the sum is 714. Find the three numbers.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2136, write an equation for the problem and solve the problem. Salary Increase Mark received a 3.5% salary increase. His salary after the raise was $36,432. What was his salary before the raise?

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2136, write an equation for the problem and solve the problem. Consumer Price Index The Consumer Price Index for food and beverages in 2007 was 203.3 after a hefty 3.9% increase from the previous year. What was the Consumer Price Index for food and beverages in 2006? (Source: U.S. Bu

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2136, write an equation for the problem and solve the problem. Travel Time A traveler averaged 52 miles per hour on a 182-mile trip. How many hours were spent on the trip?

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2136, write an equation for the problem and solve the problem. Travel Time On their 560-mile trip, the Bruins basketball team spent two more hours on the interstate highway than they did on local highways. They averaged 45 mph on local highways and 55 mph on the interstate highways.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2136, write an equation for the problem and solve the problem. Sale Prices At a shirt sale, Jackson sees two shirts that he likes equally well. Which is the better bargain, and why?

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2136, write an equation for the problem and solve the problem. Job Offers Ruth is weighing two job offers from the sales departments of two competing companies. One offers a base salary of $25,000 plus 5% of gross sales; the other offers a base salary of $20,000 plus 7% of gross sale

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2136, write an equation for the problem and solve the problem. Cell Phone Antennas From December 2006 to December 2007, the number of cell phone antennas in the United States grew from 195,613 to 213,299. What was the percentage increase in U.S. cell phone antennas in that one-year p

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2136, write an equation for the problem and solve the problem. Cell Phone AntennasFrom December 1996 to December 1997, the number of cell phone antennas in the United States grew from 30,045 to 51,600. What was the percentage increase in U.S. cell phone antennas in that one-year peri

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2136, write an equation for the problem and solve the problem. Mixing Solutions How much 10% solution and how much 45% solution should be mixed together to make 100 gallons of 25% solution? (a) Write an equation that models this problem. (b) Solve the equation graphic

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2136, write an equation for the problem and solve the problem. Mixing Solutions The chemistry lab at the University of Hardwoods keeps two acid solutions on hand. One is 20% acid and the other is 35% acid. How much 20% acid solution and how much 35% acid solution should be used to pr

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2136, write an equation for the problem and solve the problem. Maximum Value Problem A square of side x inches is cut out of each corner of a 10 in. by 18 in. piece of cardboard and the sides are folded up to form an open-topped box. (a) Write the volume V of the box as a functio

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2136, write an equation for the problem and solve the problem. Residential Construction DDL Construction is building a rectangular house that is 16 feet longer than it is wide. A rain gutter is to be installed in four sections around the 136-foot perimeter of the house. What lengths

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2136, write an equation for the problem and solve the problem. Protecting an Antenna In Example 3, suppose the parabolic dish has a 32-in. diameter and is 8 in. deep, and the radius of the cardboard cylinder is 8 in. Now how tall must the cylinder be to fit in the middle of the dish

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2136, write an equation for the problem and solve the problem. Interior Design Renes Decorating Service recommends putting a border around the top of the four walls in a dining room that is 3 feet longer than it is wide. Find the dimensions of the room if the total length of the bord

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Finding the Model and Solving Water is stored in a conical tank with a faucet at the bottom. The tank has depth 24 in. and radius 9 in., and it is filled to the brim. If the faucet is opened to allow the water to flow at a rate of 5 cubic inches per second, what will the depth of the water be after 2

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Investment Returns Reggie invests $12,000, part at 7% annual interest and part at 8.5% annual interest. How much is invested at each rate if Reggies total annual interest is $900?

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Unit Conversion A tire of a moving bicycle has radius 16 in. If the tire is making 2 rotations per second, find the bicycles speed in miles per hour.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Investment Returns Jackie invests $25,000, part at 5.5% annual interest and the balance at 8.3% annual interest. How much is invested at each rate if Jackie receives a 1-year interest payment of $1571?

Precalculus: Graphical, Numerical, Algebraic 8th Edition
True or False A correlation coefficient gives an indication of how closely a regression line or curve fits a set of data. Justify your answer.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
True or False Linear regression is useful for modeling the position of an object in free fall. Justify your answer.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 4346, tell which type of regression is likely to give the most accurate model for the scatter plot shown without using a calculator. (A) Linear regression (B) Quadratic regression (C) Cubic regression (D) Exponential regression (E) Sinusoidal regression Multiple C

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 4346, tell which type of regression is likely to give the most accurate model for the scatter plot shown without using a calculator. (A) Linear regression (B) Quadratic regression (C) Cubic regression (D) Exponential regression (E) Sinusoidal regression Multiple C

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 4346, tell which type of regression is likely to give the most accurate model for the scatter plot shown without using a calculator. (A) Linear regression (B) Quadratic regression (C) Cubic regression (D) Exponential regression (E) Sinusoidal regression Multiple C

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 4346, tell which type of regression is likely to give the most accurate model for the scatter plot shown without using a calculator. (A) Linear regression (B) Quadratic regression (C) Cubic regression (D) Exponential regression (E) Sinusoidal regression Multiple C

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Manufacturing The Buster Green Shoe Company determines that the annual cost C of making x pairs of one type of shoe is $30 per pair plus $100,000 in fixed overhead costs. Each pair of shoes that is manufactured is sold wholesale for $50. (a) Find an equation that models the cost of producing x pa

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Employee Benefits Johns company issues employees a contract that identifies salary and the companys contributions to pension, health insurance premiums, and disability insurance. The company uses the following formulas to calculate these values. If Johns total contract with benefits is wo

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Manufacturing Queen, Inc., a tennis racket manufacturer, determines that the annual cost C of making x rackets is $23 per racket plus $125,000 in fixed overhead costs. It costs the company $8 to string a racket. (a) Find a function \(y_{1}=u(x)\) that models the cost of producing x unstrung racke

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Hourly Earnings of U.S. Production Workers The average hourly earnings of U.S. production workers for 19902007 are shown in Table 1.13. (a) Produce a scatter plot of the hourly earnings (y) as a function of years since 1990 (x). (b) Find the linear regression equation for the years 19

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Newtons Law of Cooling A 190 cup of coffee is placed on a desk in a 72 room. According to Newtons Law of Cooling, the temperature T of the coffee after t minutes will be \(T=(190-72) b^{t}+72\), where b is a constant that depends on how easily the cooling substance loses heat. The data in Table 1.14

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Group Activity Newtons Law of Cooling If you have access to laboratory equipment (such as a CBL or CBR unit for your grapher), gather experimental data such as in Exercise 51 from a cooling cup of coffee. Proceed as follows: (a) First, use the temperature probe to record the temperature of the r