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##### MATH 012 Exam 2014

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solution

**Question**

Question;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) no later;than 11:59 pm on Sunday, Nov 23.;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 read. Be sure to include your name on the document.;If you require any;clarification, please contact me by e-mail: (pkudva@faculty.umuc.edu).;(3+2+10=15 points);1) Given the points;(-3, -2) and (-1, 4);a) Write an;equation in point-slope form of the line L1 through the points.;b) Convert the;equation of L1 to slope-intercept form.;(c) Determine the;slope-intercept equation of a line L2 which is perpendicular to L1 and passes;through the point;(-1, -2).;2);a) Write an;equation of a vertical line through the point (-5, -3).;b) Write an;equation of a horizontal line through the point (6, -7).;1;(5 points);MATH 012 Exam;3);(10 points);John wins $125,000;(after taxes) in the lottery and decides to invest it in a 10-year CD that pays;6.85%;interest compounded;quarterly (4 times/year). How much money (rounded to the nearest cent) will;he have in his;account at the end of the 10-year period?;4);(5 points);The numerator of a;fraction is two less than its denominator. If both the numerator and;denominator are;3;increased by three;the resulting fraction is equal to. Find the fraction.;4;5);(5 points);The product of two;consecutive positive integers is 156. Find the two integers. Only an algebraic;approach is;acceptable and not "guess work" or trial and error approach.;2;MATH 012 Exam;6);(10 points);52x;Solve the;inequality: 5;2.;3;Write your answer;in interval notation and graph the solution set on a number line.;7);(10 points);An experienced;roofer can roof a house in 30 hours. A beginner needs 45 hours to do the same;job.;How long will it;take if the two roofers work together?;3;MATH 012 Exam;8);(10 points);Which of the;following is the graph of the function f(x) = -|x+1| - 1? Circle the letter;down;below, of the;correct response.;Show that you have;found at least three ordered pairs that lie on the graph.;B;A;C;x;y;-2;D;-1;0;4;1;MATH 012 Exam;9);(10 points);1;3;1;Solve the equation;2;x - 4 x 16;x4;10);(10 points);The number of cars;produced at a General Motors assembly plants assembly line varies jointly as;the number of;workers and the time they work. If 200 workers can produce 60 cars in 2 hours;find;how many cars 240;workers should be able to make in 3 hours.;5;MATH 012 Exam;11);Factorize all the;terms, perform the indicated operations and simplify;1 x;1 - x - 2x 2;1 2x 4x2;8x 3 1;6;(10 points)

Paper#60465 | Written in 18-Jul-2015

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