math homework need help, must show complete work
jamex.a.bowher2s
5.docx5) Solve the inequality using the methods discussed in Chapter 3 of our text. Clear fractions from the inequality in the first step. Write your answer in interval notation and graph the solution set on a number line.
6) Solve the inequality using the methods discussed in Chapter 3 of our text. Write your answer in interval notation and graph the solution set on a number line.
7) Solve the inequality using the methods discussed in Chapter 3 of our text. Write your answer in interval notation and graph the solution set on a number line.
8) The cost of a house in New York is proportional to the size of the house. If a 2100-square-foot house costs $295,000 then what is the cost of a 3000-square-foot house? Round your answer to the nearest cent.
9) Carrie wins $350,000 (after taxes) in the lottery and decides to invest half of it in a 10-year CD that pays 3.15% interest compounded monthly. She invests the other half in a money market fund that unfortunately turns out to average only 1.9% interest compounded annually over the 10-year period. How much money will she have altogether in the two accounts at the end of the 10-year period?
10) In 2010 the population of Orlando, Florida was 175,000. By 2016 the population was 182, 200. Write a linear model for the population, y, in Orlando as a function of the year, x. Let x = 0 correspond to 2010.
a.) Write a linear equation, in slope-intercept form that models the growth in Orlando’s population in terms of the year, x.
b.) Use this equation to predict the population of Orlando in the year 2020.
c) Explain what the slope of this line means in the context of the problem.
11) Given the linear equation 3x + 4y = 8:
a) Convert the equation to slope-intercept form. State the slope of the line and state the y-intercept as an ordered pair.
b) Use the slope and the y-intercept to graph the line represented by the equation. You may use the axes provided, or create your own graph.
12) Given the following two linear equations, determine whether the lines are parallel, perpendicular, or neither. Show all work and explain your conclusion clearly.
3x – 2y = 2
6x – 4y = 8
13) Write an equation of a line through the point (-3, -4) that is perpendicular to the x-axis. Graph the line on the grid below or create your own graph. State the slope of the line.
14) Find an equation of the line through (-2, 5), parallel to the line with equation -4x + 2y = -6. Write the new equation in point-slope form.
15) Convert the equation of the new line found in problem #14 to standard form, Ax + By = C, where A, B, and C are integers.
-7-6-5-4-3-2-112345678
-7
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
7
8
x
y
5
)
Solve the inequality using the methods discussed in Chapter
3
of our text.
Clear
fractions from the inequality in the first step.
Write your answer in interval notation and
graph the solution set on a number line.
6
)
Solve th
e inequality using the methods discussed in Chapter
3
of our text. Write your
answer in interval notation and graph the solution set on a number line.
-
21
=
6
??
-
3
<
21
7
)
Solve the inequality using the methods discussed in Chapter
3
of our text. Write your
answer in interval notation and graph the solution set on a number line.
-
50
<
7
??
+
6
=
-
8
8
)
T
he cost of a house in New York
is proportional to the size of the
house. If a 2100
-
square
-
foot house costs $295
,
000 then what is
the cost of a 30
00
-
square
-
foot house?
Round
your answer to the nearest cent.
9
)
Carrie
wins $
350
,000 (after taxes) in the lottery and decides to invest half of it in a
10
-
year CD that pays
3
.1
5
% interest compounded
monthly
. Sh
e invests the other half in a
money market fund that unfortunately turns out to average only
1
.
9
% interest
compounded annually over the
10
-
year period. How much money will
s
he have altogether
in the two accounts at the end of the
10
-
year period?
1
0
)
In 2010 the population of Orlando, Florida was 175,000. By 2016
the population was
182, 200
. Write a linear model for the
population, y, in Orlando
as a function of the year, x.
Let x = 0
correspond to 2010
.
a.) Writ
e a linear
eq
uation, in slope
-
intercept form
that models the growth in
Orlando’s
population in terms of the year,
x.
b.) Use this equation to
predict the
population of Orlando in the
year 2020.
c) Explain what the slope of this line means in
the context of the problem.
5) Solve the inequality using the methods discussed in Chapter 3 of our text. Clear
fractions from the inequality in the first step. Write your answer in interval notation and
graph the solution set on a number line.
6) Solve the inequality using the methods discussed in Chapter 3 of our text. Write your
answer in interval notation and graph the solution set on a number line.
-21=6??-3<21
7) Solve the inequality using the methods discussed in Chapter 3 of our text. Write your
answer in interval notation and graph the solution set on a number line.
-50<7??+6=-8
8) The cost of a house in New York is proportional to the size of the house. If a 2100-
square-foot house costs $295,000 then what is the cost of a 3000-square-foot house? Round
your answer to the nearest cent.
9) Carrie wins $350,000 (after taxes) in the lottery and decides to invest half of it in a 10-
year CD that pays 3.15% interest compounded monthly. She invests the other half in a
money market fund that unfortunately turns out to average only 1.9% interest
compounded annually over the 10-year period. How much money will she have altogether
in the two accounts at the end of the 10-year period?
10) In 2010 the population of Orlando, Florida was 175,000. By 2016 the population was
182, 200. Write a linear model for the population, y, in Orlando as a function of the year, x.
Let x = 0 correspond to 2010.
a.) Write a linear equation, in slope-intercept form that models the growth in Orlando’s
population in terms of the year, x.
b.) Use this equation to predict the population of Orlando in the year 2020.
c) Explain what the slope of this line means in the context of the problem.
