Project #64316 - Mathmatics

INSTRUCTIONS

·   This exam is worth 100 points.

·   This exam is open book and open notes. This means that you may refer to your textbook, notes, and any online materials, but you must work independently and may not consult anyone. You have to submit your answer sheet in your Assignments Folder in a readable format (.doc or .PDF format)

·   Show sufficient work, including all essential steps, or explanation to receive full credit.  Adequacy of the work shown will be determined solely by me and answers without any work may earn little or no credit.

·   You may type (using Equation Editor) or write your work in your copy of the exam and scanned work is acceptable to enable you to submit handwritten work into your Assignments Folder but only in a .pdf or .jpg format that I can readBe sure to include your name on the document.

·   If you require any clarification, please contact me by e-mail: (pkudva@faculty.umuc.edu).

 

1)                                                                                                             (10 points)

Solve for y:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

2)                                                                                                         (5 points)

Solve for x:     3(5 – 2x) = 4(-3x + 2) +7 + 6x

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

3)                                                                                                       (10 points)

The sum of three consecutive odd integers is 177. Determine those three integers.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

4)                                                                                                         (10 points)

A salesperson earns $900 per month plus a commission of 14% of sales. Find the minimum amount of sales needed to receive a total income of at least $2300 per month.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 


 

5)                                                                                                       (10 points)

Solve the inequality: - <  £-.

Write the solution set using interval notation and graph the solution set on a number line.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

6)                                                                                                         (10 points)

A computer is being advertised at an 18% discount.  If the sale price of the computer is $1230, what was the original price of the computer?

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

7)                                                                                                          (15 points)

Joan would like to have at least $200,000 saved for her daughter’s college education.  If she invests $70,000 in an education account paying 6% interest compounded quarterly, will she reach her goal in 18 years?  Justify your answer.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

8)                                                                                                   (5+5 = 10 points)

(a) What are the x-intercepts and y-intercepts of each of the two lines 2x+3y = -6 and 4x – 6y = 9

 

2x+3y = -6

4x – 6y = 9

x-intercept:

 

 

 

 

y-intercept:

 

 

 

 

x-intercept:

 

 

 

 

y-intercept:

 

 

 

 

 

(b)

Determine the slopes of the following lines and then determine if they are parallel, perpendicular, or neither with each other:

 

                2x+3y = -6 and 4x – 6y = 9

 

 

 

 

 

 


9)                                                                                                                (10 points)

Which of the following is the graph of the function f(x)  = (x+2)2-3  ?  Circle the letter, down below, of the correct response.

Show that you have found at least three ordered pairs that lie on the graph.

 

 

 

A

 

 

 

 

B

 

 

 

 

C

 

 

 

D

 

       

x

-3

-2

-1

0

y

 

 

 

 


10)                                                                                                     (10 points)

A real estate company sold 300 houses in 2010 and sold 400 houses in 2014. Assume the company’s selling pattern follows a linear equation model, with x = the number of years since 2010, and y = the number of houses sold in the year corresponding to x.

(a) Determine the linear equation that models the number of houses sold in a year corresponding to x.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(b) Use this model to predict the number of houses that will be sold in 2015.

 

 

 

 INSTRUCTIONS

·   This exam is worth 100 points.

·   This exam is open book and open notes. This means that you may refer to your textbook, notes, and any online materials, but you must work independently and may not consult anyone. You have to submit your answer sheet in your Assignments Folder in a readable format (.doc or .PDF format)

·   Show sufficient work, including all essential steps, or explanation to receive full credit.  Adequacy of the work shown will be determined solely by me and answers without any work may earn little or no credit.

·   You may type (using Equation Editor) or write your work in your copy of the exam and scanned work is acceptable to enable you to submit handwritten work into your Assignments Folder but only in a .pdf or .jpg format that I can readBe sure to include your name on the document.

·   If you require any clarification, please contact me by e-mail: (pkudva@faculty.umuc.edu).

 

1)                                                                                                             (10 points)

Solve for y:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

2)                                                                                                         (5 points)

Solve for x:     3(5 – 2x) = 4(-3x + 2) +7 + 6x

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

3)                                                                                                       (10 points)

The sum of three consecutive odd integers is 177. Determine those three integers.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

4)                                                                                                         (10 points)

A salesperson earns $900 per month plus a commission of 14% of sales. Find the minimum amount of sales needed to receive a total income of at least $2300 per month.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 


 

5)                                                                                                       (10 points)

Solve the inequality: - <  £-.

Write the solution set using interval notation and graph the solution set on a number line.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

6)                                                                                                         (10 points)

A computer is being advertised at an 18% discount.  If the sale price of the computer is $1230, what was the original price of the computer?

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

7)                                                                                                          (15 points)

Joan would like to have at least $200,000 saved for her daughter’s college education.  If she invests $70,000 in an education account paying 6% interest compounded quarterly, will she reach her goal in 18 years?  Justify your answer.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

8)                                                                                                   (5+5 = 10 points)

(a) What are the x-intercepts and y-intercepts of each of the two lines 2x+3y = -6 and 4x – 6y = 9

 

2x+3y = -6

4x – 6y = 9

x-intercept:

 

 

 

 

y-intercept:

 

 

 

 

x-intercept:

 

 

 

 

y-intercept:

 

 

 

 

 

(b)

Determine the slopes of the following lines and then determine if they are parallel, perpendicular, or neither with each other:

 

                2x+3y = -6 and 4x – 6y = 9

 

 

 

 

 

 


9)                                                                                                                (10 points)

Which of the following is the graph of the function f(x)  = (x+2)2-3  ?  Circle the letter, down below, of the correct response.

Show that you have found at least three ordered pairs that lie on the graph.

 

 

 

A

 

 

 

 

B

 

 

 

 

C

 

 

 

D

 

       

x

-3

-2

-1

0

y

 

 

 

 


10)                                                                                                     (10 points)

A real estate company sold 300 houses in 2010 and sold 400 houses in 2014. Assume the company’s selling pattern follows a linear equation model, with x = the number of years since 2010, and y = the number of houses sold in the year corresponding to x.

(a) Determine the linear equation that models the number of houses sold in a year corresponding to x.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(b) Use this model to predict the number of houses that will be sold in 2015.

 

 

 

Subject Mathematics
Due By (Pacific Time) 03/29/2015 08:00 pm
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