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Intermediate Algebra for College Students

Allen R. Angel; Dennis C. Runde

Chapter 4

Systems of Equations and Inequalities - all with Video Answers

Educators

Section 1

Solving Systems of Linear Equations in Two Variables

00:48

Problem 1

Fill in the blanks with the appropriate word, phrase, or symbol(s) from the following list.
$\begin{array}{llllll}\text { unique } & \text { dependent } & \text { consistent } & \text { inconsistent } & \text { intersecting } & \text { ordered } \\ \text { variable } & \text { perpendicular } & \text { parallel } & \text { same } & \text { pair }\end{array}$
The goal of the addition method is to obtain an equation that contains only one ________

Rylie Howey
Rylie Howey
Numerade Educator
01:13

Problem 1

$10 m-2 n=6$
$-5 m+n=-3$

Sherrie Fenner
Sherrie Fenner
Numerade Educator
00:48

Problem 2

Fill in the blanks with the appropriate word, phrase, or symbol(s) from the following list.
$\begin{array}{llllll}\text { unique } & \text { dependent } & \text { consistent } & \text { inconsistent } & \text { intersecting } & \text { ordered } \\ \text { variable } & \text { perpendicular } & \text { parallel } & \text { same } & \text { pair }\end{array}$
For a system of equations with three equations and three variables, the solution is an __________ triple.

Rylie Howey
Rylie Howey
Numerade Educator
01:03

Problem 3

Fill in the blanks with the appropriate word, phrase, or symbol(s) from the following list.
$\begin{array}{llllll}\text { unique } & \text { dependent } & \text { consistent } & \text { inconsistent } & \text { intersecting } & \text { ordered } \\ \text { variable } & \text { perpendicular } & \text { parallel } & \text { same } & \text { pair }\end{array}$
A system of equations that has an infinite number of solutions is a(n) _________ system.

Tanishq Gupta
Tanishq Gupta
Numerade Educator
01:04

Problem 4

Fill in the blanks with the appropriate word, phrase, or symbol(s) from the following list.
$\begin{array}{llllll}\text { unique } & \text { dependent } & \text { consistent } & \text { inconsistent } & \text { intersecting } & \text { ordered } \\ \text { variable } & \text { perpendicular } & \text { parallel } & \text { same } & \text { pair }\end{array}$
A system of equations that has no solution is a(n) system.

Rylie Howey
Rylie Howey
Numerade Educator
00:40

Problem 5

A system of equations that has at least one solution is $a(n)$ _______ system.

Luke P
Luke P
Numerade Educator
00:09

Problem 6

The _______ solution to a system of two linear equations is located at the intersection point of the graphs of the equations.

Ivan Kochetkov
Ivan Kochetkov
Numerade Educator
00:32

Problem 7

The lines that represent the equations in an inconsistent system of linear equations are ___________ lines.

Brandon Fox
Brandon Fox
Numerade Educator
00:28

Problem 8

The lines that represent the equations in a dependent system of linear equations are the ___________ line.

Deandre Johnson
Deandre Johnson
Numerade Educator
00:10

Problem 9

For a consistent linear system with two equations and two variables, a solution is an ordered __________

Erika Bustos
Erika Bustos
Numerade Educator
00:28

Problem 10

The lines that represent the equations in a consistent system of linear equations with a unique solution are ___________ lines.

Deandre Johnson
Deandre Johnson
Numerade Educator
00:46

Problem 11

$$
\begin{aligned}
&y=3 x-1 \\
&y=2 x+3
\end{aligned}
$$
a) $(0,3)$
b) $(4,11)$

Nick Johnson
Nick Johnson
Numerade Educator
01:37

Problem 12

Determine which, if any, of the given ordered pairs or ordered triples satisfy the system of linear equations. $$
\begin{aligned}
&4 x+3 y=11 \\
&y=\frac{3}{2} x-2
\end{aligned}
$$
a) $(2,1)$
b) $(0,-2)$

James Kiss
James Kiss
Numerade Educator
01:02

Problem 13

Determine which, if any, of the given ordered pairs or ordered triples satisfy the system of linear equations. $$
\text { . } x+2 y=4
$$
$$
y=-\frac{1}{2} x+2
$$
a) $(2,1)$
b) $(4,0)$

Melissa Barry
Melissa Barry
Numerade Educator
01:35

Problem 14

Determine which, if any, of the given ordered pairs or ordered triples satisfy the system of linear equations. $$
y=\frac{x}{3}-\frac{7}{3}
$$
$$
5 x-35=15 y
$$
a) $(1,-2)$
b) $(7,0)$

Raushan Kumar
Raushan Kumar
Numerade Educator
01:37

Problem 15

Determine which, if any, of the given ordered pairs or ordered triples satisfy the system of linear equations. $$
\begin{aligned}
&x+2 y-z=-5 \\
&2 x-y+2 z=8 \\
&3 x+3 y+4 z=5
\end{aligned}
$$
a) $(3,1,-2)$
b) $(1,-2,2)$

James Kiss
James Kiss
Numerade Educator
01:37

Problem 16

Determine which, if any, of the given ordered pairs or ordered triples satisfy the system of linear equations. $$
\begin{aligned}
&4 x+y-3 z=1 \\
&2 x-2 y+6 z=11 \\
&-6 x+3 y+12 z=-4
\end{aligned}
$$
a) $(2,-1,-2)$
b) $\left(\frac{1}{2}, 2,1\right)$

James Kiss
James Kiss
Numerade Educator
02:18

Problem 17

Write each equation in slope-intercept form. Without graphing the equations, state whether the system of equations has exactly one solution, no solution, or an infinite number of solutions. $x+y=-2$
$3 y+12=-6 x$

Supratim Roy
Supratim Roy
Numerade Educator
02:18

Problem 18

Write each equation in slope-intercept form. Without graphing the equations, state whether the system of equations has exactly one solution, no solution, or an infinite number of solutions. $2 x-4 y=5$
$x-2 y=1$

Kudakwashe Mapiki
Kudakwashe Mapiki
Numerade Educator
02:18

Problem 19

Write each equation in slope-intercept form. Without graphing the equations, state whether the system of equations has exactly one solution, no solution, or an infinite number of solutions. $3 x-3 y=9$
$2 x-2 y=-4$

Supratim Roy
Supratim Roy
Numerade Educator
02:18

Problem 20

Write each equation in slope-intercept form. Without graphing the equations, state whether the system of equations has exactly one solution, no solution, or an infinite number of solutions. $2 x=3 y+4$
$6 x-9 y=12$

Supratim Roy
Supratim Roy
Numerade Educator
01:27

Problem 21

Write each equation in slope-intercept form. Without graphing the equations, state whether the system of equations has exactly one solution, no solution, or an infinite number of solutions. $\frac{x}{3}+\frac{y}{4}=1$
$4 x+3 y=12$

Ian Maurer
Ian Maurer
Numerade Educator
01:21

Problem 22

Write each equation in slope-intercept form. Without graphing the equations, state whether the system of equations has exactly one solution, no solution, or an infinite number of solutions. $\frac{x}{3}+\frac{y}{4}=1$
$2 x-3 y=12$

Dale Sanford
Dale Sanford
Numerade Educator
00:44

Problem 23

Determine the solution to each system of equations graphically. $y=-5 x+5$
$y=2 x-2$

Heather Zimmers
Heather Zimmers
Numerade Educator
02:41

Problem 24

Determine the solution to each system of equations graphically.$y=2 x+8$
$y=-3 x-12$

Ian Maurer
Ian Maurer
Numerade Educator
01:44

Problem 25

Determine the solution to each system of equations graphically. $y=-\frac{1}{3} x-1$
$2 x-3 y=12$

Heather Zimmers
Heather Zimmers
Numerade Educator
00:57

Problem 26

Determine the solution to each system of equations graphically. $y=-2 x-1$
$x+2 y=4$

Haley Mortell
Haley Mortell
Numerade Educator
01:44

Problem 27

Determine the solution to each system of equations graphically.$x+y=3$
$x-y=1$

Heather Zimmers
Heather Zimmers
Numerade Educator
03:03

Problem 28

Determine the solution to each system of equations graphically. $4 x-y=9$
$x-3 y=16$

AG
Ankit Gupta
Numerade Educator
00:44

Problem 30

Determine the solution to each system of equations graphically. $2 x-5 y=10$
$y=\frac{2}{5} x-2$

Heather Zimmers
Heather Zimmers
Numerade Educator
00:59

Problem 31

Determine the solution to each system of equations graphically. $y=4 x-1$
$3 y=12 x+9$

Christopher Stanley
Christopher Stanley
Numerade Educator
02:41

Problem 32

Determine the solution to each system of equations graphically. $x-\frac{1}{2} y=-2$
$2 y=4 x-6$

Ian Maurer
Ian Maurer
Numerade Educator
00:47

Problem 33

Determine the solution to each system of equations graphically. $5 x+3 y=13$
$x=2$

Christopher Stanley
Christopher Stanley
Numerade Educator
00:42

Problem 34

Determine the solution to each system of equations by substitution. $3 x-4 y=2$
$y=-2$

K B
K B
Numerade Educator
02:13

Problem 35

Determine the solution to each system of equations by substitution. $2 x-7 y=-1$
$y=-2 x+7$

Marcial Vargas
Marcial Vargas
Numerade Educator
00:58

Problem 36

Determine the solution to each system of equations by substitution $4 x-5 y=3$
$y=-6 x+13$

Himanshu Kushwaha
Himanshu Kushwaha
Numerade Educator
01:13

Problem 37

Determine the solution to each system of equations by substitution. $x=4 y-1$
$3 x-2 y=7$

Ma. Theresa Alin
Ma. Theresa Alin
Numerade Educator
02:12

Problem 38

Determine the solution to each system of equations by substitution. $4 x=3 y+17$
$x=-2 y-4$

Erika Bustos
Erika Bustos
Numerade Educator
01:22

Problem 39

Determine the solution to each system of equations by substitution. $x=2 y+3$
$y=x$

Angela Guo
Angela Guo
Numerade Educator
02:39

Problem 40

Determine the solution to each system of equations by substitution. $y=3 x-16$
$x=y$

Laurie Buchanan
Laurie Buchanan
Numerade Educator
01:23

Problem 41

Determine the solution to each system of equations by substitution. $a+3 b=5$
$2 a-b=3$

Carson Merrill
Carson Merrill
Numerade Educator
01:19

Problem 42

Determine the solution to each system of equations by substitution. $x-5 y=-8$
$3 x-2 y=-11$

Angela Guo
Angela Guo
Numerade Educator
02:23

Problem 43

Determine the solution to each system of equations by substitution. $a+b=3$
$0.05 a+0.3 b=0.6$

Palitha Reddy
Palitha Reddy
Numerade Educator
01:16

Problem 44

Determine the solution to each system of equations by substitution. $x+y=13.5$
$0.02 x+0.08 y=0.81$

Erika Bustos
Erika Bustos
Numerade Educator
02:50

Problem 45

Determine the solution to each system of equations by substitution. $a-\frac{1}{2} b=2$
$b=2 a-4$

Sarah Klein
Sarah Klein
Numerade Educator
01:45

Problem 46

Determine the solution to each system of equations by substitution. $x+3 y=-2$
$y=-\frac{1}{3} x-\frac{2}{3}$

Amanda Tricario
Amanda Tricario
Numerade Educator
03:00

Problem 47

Determine the solution to each system of equations by substitution. $5 x-2 y=-7$
$y=\frac{5}{2} x+1$

Laurie Buchanan
Laurie Buchanan
Numerade Educator
02:28

Problem 48

Determine the solution to each system of equations by substitution. $y=\frac{2}{3} x-1$
$2 x-3 y=5$

Chandler Austin
Chandler Austin
Numerade Educator
02:30

Problem 49

Determine the solution to each system of equations by substitution. $\frac{1}{2} x-\frac{1}{3} y=2$
$\frac{1}{4} x+\frac{2}{3} y=6$

Rylie Howey
Rylie Howey
Numerade Educator
03:21

Problem 50

Determine the solution to each system of equations by substitution. $\frac{1}{2} x+\frac{1}{3} y=3$
$\frac{1}{5} x+\frac{1}{8} y=1$

Rylie Howey
Rylie Howey
Numerade Educator
00:35

Problem 51

Determine the solution to each system of equations by substitution. $\frac{x}{4}+\frac{y}{4}=1$
$-\frac{x}{3}+\frac{y}{2}=1$

Amanda Tricario
Amanda Tricario
Numerade Educator
01:04

Problem 52

Determine the solution to each system of equations by substitution. $-\frac{x}{3}-\frac{y}{3}=1$
$-\frac{x}{6}+\frac{y}{5}=1$

Erika Bustos
Erika Bustos
Numerade Educator
00:58

Problem 53

Solve each system of equations using the addition method. $x+y=-1$
$x-y=-7$

Julie Silva
Julie Silva
Numerade Educator
01:12

Problem 54

Solve each system of equations using the addition method. $x+5 y=-2$
$3 x-5 y=14$

Erika Bustos
Erika Bustos
Numerade Educator
02:28

Problem 55

Solve each system of equations using the addition method. $-5 s+t=14$
$-3 s+t=-2$

Debasish Das
Debasish Das
Numerade Educator
00:46

Problem 56

Solve each system of equations using the addition method. $6 x+3 y=30$
$2 x+3 y=18$

Jake Zanazzi
Jake Zanazzi
Numerade Educator
00:57

Problem 57

Solve each system of equations using the addition method. $5 x+3 y=12$
$3 x-6 y=15$

Amanda Tricario
Amanda Tricario
Numerade Educator
01:21

Problem 58

Solve each system of equations using the addition method. $4 r-3 s=2$
$2 r+s=6$

Ashley High
Ashley High
Numerade Educator
01:38

Problem 59

Solve each system of equations using the addition method. $7 p-3 q=4$
$2 p+5 q=7$

Shawn Gedert
Shawn Gedert
Numerade Educator
01:18

Problem 60

Solve each system of equations using the addition method. $2 x-7 y=3$
$-5 x+3 y=7$

Nick Johnson
Nick Johnson
Numerade Educator
03:00

Problem 61

Solve each system of equations using the addition method. $5 x-2 y=1$
$7 y=2 x+12$

Laurie Buchanan
Laurie Buchanan
Numerade Educator
01:25

Problem 62

Solve each system of equations using the addition method. $5 x+4 y=6$
$2 x=-5 y-1$

Ashley Hanson
Ashley Hanson
Numerade Educator
01:34

Problem 63

Solve each system of equations using the addition method. $2 c-5 d=1$
$-4 c+10 d=6$

Heather Zimmers
Heather Zimmers
Numerade Educator
View

Problem 64

Solve each system of equations using the addition method. $2 x-5 y=6$
$-4 x+10 y=-1$

Nick Johnson
Nick Johnson
Numerade Educator
00:54

Problem 65

Solve each system of equations using the addition method. $0.2 x-0.5 y=-0.4$
$-0.3 x+0.4 y=-0.1$

Erika Bustos
Erika Bustos
Numerade Educator
01:19

Problem 66

Solve each system of equations using the addition method. $0.3 j-0.5 k=1.2$
$0.7 j+0.2 k=-1.3$

Ashley High
Ashley High
Numerade Educator
01:25

Problem 67

Solve each system of equations using the addition method. $10 m-2 n=6$
$-5 m+n=-3$

Erika Bustos
Erika Bustos
Numerade Educator
01:04

Problem 70

Solve each system of equations using the addition method.

Angela Guo
Angela Guo
Numerade Educator
01:07

Problem 71

Solve each system of equations using the addition method.
$a+b=20$
$0.03 a+0.09 b=1.32$

Erika Bustos
Erika Bustos
Numerade Educator
00:46

Problem 72

Solve each system of equations using the addition method. $c+d=16$
$0.125 c+0.625 d=4$

Anurag Kumar
Anurag Kumar
Numerade Educator
00:52

Problem 73

$\frac{x}{21}+\frac{y}{15}=\frac{1}{35}$
$3 x-4 y=5$
$2 x=5 y-3$
$\frac{x}{4}-\frac{y}{5}=1$
$x$
$y$

Kristen Karbon
Kristen Karbon
Numerade Educator
02:00

Problem 74

Solve each system of equations using the addition method. Solve each system of equations using the addition method. $4 x+5 y=3$
$2 x-3 y=4$

Erika Bustos
Erika Bustos
Numerade Educator
03:28

Problem 75

Salaries In January 2018, Mary started a new job with an annual salary of $\$ 38,000$. Her boss agreed to increase her salary by $\$ 1000$ each January in the years to come. Her salary is determined by the equation $y=38,000+1000 t$, where $t$ is the number of years since 2018. (See red line in graph.) Also, in January 2018, Wynn started a new job with an annual salary of $\$ 45,500$. Her boss agreed to increase her salary by $\$ 500$ each January in the years to come. Her salary is determined by the equation $y=45,500+500 t$, where $t$ is the number of years since 2018. (See blue line in graph.) Solve the system of equations to determine the year both salaries will be the same. What will be the salary in that year?

Angelo Rendina
Angelo Rendina
Numerade Educator
03:28

Problem 76

Salaries In January 2018, Mary started a new job with an annual salary of $\$ 38,000$. Her boss agreed to increase her salary by $\$ 1000$ each January in the years to come. Her salary is determined by the equation $y=38,000+1000 t$, where $t$ is the number of years since 2018. (See red line in graph.) Also, in January 2018, Wynn started a new job with an annual salary of $\$ 45,500$. Her boss agreed to increase her salary by $\$ 500$ each January in the years to come. Her salary is determined by the equation $y=45,500+500 t$, where $t$ is the number of years since 2018. (See blue line in graph.) Solve the system of equations to determine the year both salaries will be the same. What will be the salary in that year?

Angelo Rendina
Angelo Rendina
Numerade Educator
03:28

Problem 77

In January 2018, Mary started a new job with an annual salary of $\$ 38,000$. Her boss agreed to increase her salary by $\$ 1000$ each January in the years to come. Her salary is determined by the equation $y=38,000+1000 t$, where $t$ is the number of years since 2018. (See red line in graph.) Also, in January 2018, Wynn started a new job with an annual salary of $\$ 45,500$. Her boss agreed to increase her salary by $\$ 500$ each January in the years to come. Her salary is determined by the equation $y=45,500+500 t$, where $t$ is the number of years since 2018. (See blue line in graph.) Solve the system of equations to determine the year both salaries will be the same. What will be the salary in that year?

Angelo Rendina
Angelo Rendina
Numerade Educator
00:44

Problem 79

a) create a system of linear equations that has the solution indicated and b) explain how you determined your solution.
$(2,5)$

Erika Bustos
Erika Bustos
Numerade Educator
01:44

Problem 80

a) create a system of linear equations that has the solution indicated and b) explain how you determined your solution. $(-3,4)$

Luke P
Luke P
Numerade Educator
00:55

Problem 81

The solution to the following system of equations is $(2,-3)$. Determine $A$ and $B$.
$$
\begin{aligned}
&A x+4 y=-8 \\
&3 x-B y=21
\end{aligned}
$$

Erika Bustos
Erika Bustos
Numerade Educator
01:31

Problem 82

The solution to the following system of equations is $(-5,3)$. Determine $A$ and $B$.
$$
\begin{aligned}
&3 x+A y=-3 \\
&B x-2 y=-16
\end{aligned}
$$

Luke P
Luke P
Numerade Educator
00:48

Problem 83

If $(2,6)$ and $(-1,-6)$ are two solutions of $f(x)=m x+b$, determine $m$ and $b .$

AG
Ankit Gupta
Numerade Educator
00:48

Problem 84

If $(3,-5)$ and $(-2,10)$ are two solutions of $f(x)=m x+b$, determine $m$ and $b .$

AG
Ankit Gupta
Numerade Educator
02:30

Problem 85

Explain how you can determine, without graphing or solving, whether a system of two linear equations is consistent, inconsistent or dependent.

Joshua Eastwood
Joshua Eastwood
Numerade Educator
01:55

Problem 86

When solving a system of linear equations using the addition (or elimination) method, what is the object of the process?

Angela Guo
Angela Guo
Numerade Educator
01:04

Problem 87

When solving a linear system by addition, how can you tell if the system is dependent?

Emily Himsel
Emily Himsel
Numerade Educator
00:48

Problem 88

When solving a linear system by addition, how can you tell if the system is inconsistent?

Emily Himsel
Emily Himsel
Numerade Educator
00:45

Problem 89

Explain how you can tell by observation that the following system is dependent.
$$
\begin{aligned}
&2 x+3 y=1 \\
&4 x+6 y=2
\end{aligned}
$$

K B
K B
Numerade Educator
02:46

Problem 90

Explain how you can tell by observation that the following system is inconsistent.
$$
\begin{aligned}
&-x+3 y=5 \\
&2 x-6 y=-13
\end{aligned}
$$

Matt Gibson
Matt Gibson
Numerade Educator
00:42

Problem 91

a) Write a system of equations that would be most easily solved by substitution.
b) Explain why substitution would be the easiest method to use.
c) Solve the system by substitution.

Erika Bustos
Erika Bustos
Numerade Educator
03:03

Problem 92

a) Write a system of equations that would be most easily solved using the addition method.
b) Explain why the addition method would be the easiest method to use.
c) Solve the system using the addition method.

Erika Bustos
Erika Bustos
Numerade Educator
01:59

Problem 93

The solutions of a system of linear equations include $(-4,3)$ and $(-6,11)$.
a) How many other solutions does the system have? Explain.
b) Determine the slope of the line containing $(-4,3)$ and $(-6,11)$. Determine the equation of the line containing these points. Then determine the $y$ intercept.
c) Does this line represent a function?

Lauren Shelton
Lauren Shelton
Numerade Educator
01:33

Problem 94

The solutions of a system of linear equations include $(-5,1)$ and $(-5,-4)$.
a) How many other solutions does the system have? Explain.
b) Determine the slope of the line containing $(-5,1)$ and $(-5,-4)$. Determine the equation of the line containing these points. Does this graph have a $y$ intercept? Explain.
c) Does this line represent a function?

Erika Bustos
Erika Bustos
Numerade Educator
01:19

Problem 95

Construct a system of equations that is dependent. Explain how you created your system.

Heather Zimmers
Heather Zimmers
Numerade Educator
01:23

Problem 96

Construct a system of equations that is inconsistent. Explain how you created your system.

Karly Williams
Karly Williams
Numerade Educator
00:25

Problem 97

Suppose you graph a system of two linear equations on your graphing calculator, but only one line shows in the window. What are two possible explanations for this?

James Kiss
James Kiss
Numerade Educator
01:05

Problem 98

Suppose you graph a system of linear equations on your graphing calculator and get the following.
a) By observing the window, can you be sure that this system is inconsistent? Explain.
b) What can you do on your graphing calculator to determine whether the system is inconsistent?

AG
Ankit Gupta
Numerade Educator
01:41

Problem 99

$\frac{x+2}{2}-\frac{y+4}{3}=4$
$\frac{x+y}{2}=\frac{1}{2}+\frac{x-y}{3}$

Melissa Barry
Melissa Barry
Numerade Educator
05:12

Problem 100

$\frac{5 x}{2}+3 y=\frac{9}{2}+y$
$\frac{1}{4} x-\frac{1}{2} y=6 x+12$

Luke P
Luke P
Numerade Educator
02:48

Problem 101

$\frac{3}{a}+\frac{4}{b}=-1$
$\frac{1}{a}+\frac{6}{b}=2$

Vinnu M
Vinnu M
Numerade Educator
02:08

Problem 102

$\frac{6}{x}+\frac{1}{y}=-1$
$\frac{3}{x}-\frac{2}{y}=-3$

Sherrie Fenner
Sherrie Fenner
Numerade Educator
01:34

Problem 103

By solving for $x$ and $y$, determine the solution to each system of equations. In all equations, $a \neq 0$ and $b \neq 0$. The solution will contain either a or b or both letters.
$4 a x+3 y=19$
$-a x+y=4$

Ramzi Deek
Ramzi Deek
Numerade Educator
01:12

Problem 104

By solving for $x$ and $y$, determine the solution to each system of equations. In all equations, $a \neq 0$ and $b \neq 0$. The solution will contain either a or b or both letters. $a x=2-b y$
$-a x+2 b y-1=0$

Aamir Mithaiwala
Aamir Mithaiwala
Numerade Educator
01:25

Problem 105

Explain the difference between a rational number and an irrational number.

Rebecca Dias
Rebecca Dias
Numerade Educator
01:25

Problem 106

a) Are all rational numbers real numbers?
b) Are all irrational numbers real numbers?

Mukesh Devi
Mukesh Devi
Numerade Educator
01:40

Problem 107

Solve the equation $\frac{1}{2}(x-7)=\frac{3}{4}(2 x+1)$.

AG
Ankit Gupta
Numerade Educator
View

Problem 108

Determine all numbers such that $|x-6|=|6-x|$

Nick Johnson
Nick Johnson
Numerade Educator
02:17

Problem 109

Evaluate $A=p\left(1+\frac{r}{n}\right)^{n t}$, when $p=500$, $r=0.04, n=2$, and $t=1$.

Ava Perkins
Ava Perkins
Numerade Educator
00:16

Problem 110

Is the following relation a function?
Explain your answer. $\{(-3,4),(7,2),(-4,5)$, $(5,0),(-3,-1)\}$

Amy Jiang
Amy Jiang
Numerade Educator
01:34

Problem 111

Let $f(x)=x+3$ and $g(x)=x^{2}-9$. Determine $(f / g)(3)$.

Lewis Groves
Lewis Groves
Numerade Educator