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# MATH 111- Mock Final Exam MATH 111

Towson

GPA 3.9

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This 9 page Study Guide was uploaded by James on Wednesday January 27, 2016. The Study Guide belongs to MATH 111 at Towson University taught by Callie Morreau in Fall 2015. Since its upload, it has received 329 views. For similar materials see Finite Mathematics in Math at Towson University.

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Date Created: 01/27/16

MATH 111 – Mock Final Exam Name: Score: /200 1.) Let y =-.4y +7, y =17.5 . n n-1 0 a.) Generate y0,y1, y2, 3 ,4. b.) Graph these firstfew terms. c.) Solve the difference equation. 2.) Find an expression for the amount of money after 5 years when the initial amount is $80 and the annual interestrate is 9%compounded monthly. 3.) Give the difference equation for y n the amount for the balance after n interest periods for a mortgage loan of $32,500 at 9%interest compounded monthly with monthly payments of $261.50. Page 2 of 9 th 4.) On Friday, May 18 , 2007, the odds of that Street Sense would win the Preakness Stakes were given as 7 to 5. What was the probability that Street Sense would winthe Preakness Stakes? 5.) A box contains a penny, a nickel, a dime, a quarter, and a half dollar. You select two(2) coins at random from the box. a.) Construct a sample space for this situation. b.) List all the elements in the event Ein which the total value of the coins you have selected is an odd number of cents. 6.) The probability distribution for the result of rolling a loaded die is given below. Outcome 1 2 3 4 5 6 Probability .10 .15 .15 .25 .30 .05 a.) What twothings do you need to check to make sure that this a probability distribution? b.) Determine the probability that the outcome is no more than 3. Page 3 of 9 7.) An urn contains six white balls and five red balls. A sample of four balls is selected at random from the urn. What is the probability that the sample contains 2 white balls and 2 red balls? 8.) What is the probability of the impossible event? 16 9.) Find the middle term of x+y . ) 10.) The most popular toppings for pizza are pepperoni, mushrooms, extra cheese, sausage, green pepper and onions. a.) How manydifferent pizzas are possible? b.) How many 3-topping pizzas are possible? c.) What is the probability of a randomly selected pizza having exactly 3 toppings? 11.) How many ways can a field of 8 horses finish a race? 12.) A survey of employees in a certain company revealed that 300 people subscribe to Newsweek, 200 subscribe to Time, and 50 subscribe to both. How many subscribe to Newsweek or Time? Page 4 of 9 13.) The 100 members of the Earth Club were asked what they felt the club’s priorities should be in the coming year: clean water, clean air, or recycling. The responses were 45 for clean water, 30 for clean air, 42 for recycling, 13 for both clean air and clean water, 20 for clean air and recycling, 16 for clean water and recycling, and 9 for all three. a.) Draw and label the Venn diagram for this survey. b.) How many thought none of these three should be a priority? c.) How many thought exactly one of these should be a priority? 14.) In the process of solving a linear system of equations with the Gauss-Jordan elimination method, the following matrix occurred: . What is the general solution if the variables are x, y, and z? 15.) Let , , , . List the elements of the following sets. a.) b.) c.) d.) R'ˬS' Page 5 of 9 16.) Let , and be matrices. Calculate the following, if possible. a.) CA b.) c.) 17.) According to the Pizza Marketing Quarterly, the number of Domino’s Pizza stores grew from 4818 in 2001 to 4904 in 2003. a.) Assuming that the number of Domino’s Pizza stores continues to grow linearly, find the equation that relates the number of Domino’s Pizza stores, y, to the number of years after 2001, x. b.) Use the equation from part a.) to predict the number of Domino’s Pizza stores in 2008. Page 6 of 9 18.) Give an algebraic formulation for the following linear programming pDoNOT solve it. The Beautiful Day Fruit Juice Company makes twovarieties of fruitEach can of Fruit Delight contains 10 ounces of pineapple juice, 3 ounces of orange juice, and 1 ounce of apricot juice and makes a profit of 20 cents. Each can of Heavenly Punch contains 10 ounces of pineapple juice, 2 ounces of orange juice, and 2 pineapple juice, 2400 ounces of orange juice, and 1400 ounces of apricot juice. How many cans of Fruits of Delight and of Heavenly Punch should be produced each week to maximize profits? (Find the objective function and constraints, but do NOT solve it.) -x +y =-1 19.) UseGauss-Jordan elimination to solve the linear {ystemx + z= 4 ). 6x-3y +2z=10 Page 7 of 9 20.) Usethe graphicalmethod to solve the following linear programming problem. Minimize subject to the constraints . y x Page 8 of 9 0 0 1 1 0 1 -1 3 21.)Given that 2 -2 -1 = -1 -1 1 , solve 2x-2y-z=8 . [ ] 2 2 2 { 3x =4 3 0 0 [ ] 1 0 -1 3 22.)Find the particular solution for the simplex method below. (DO NOTSOLVE.) Page 9 of 9 23.) In a certain developing country, ecotourism income has been increasing in recent years. The income y (in thousands of dollars) x years after 2000can be modey=1.15x+14 a.) What interpretation can be given to the y-intercept of this graph? b.) What interpretation can be given to the slope of this graph? c.) When was there $20,000 in ecotourism income? d.) If this trend continues, how much ecotourism income will there be in 2017? 24.) A company makes backyard playground equipment such as swing sets, slides, and play sets. The cost (in dollars) to make a specific style of each piece is given in matrix C. The sales price (in dollars) for each piece is given in matrix S. Two stores sellthese specific pieces, and matrix A gives the quantities sold during one month. 165 Swing set 200 Swing set Swing set Slide Play set C= 65 Slide S= 80 Slide A= 15 20 8 [ ] 210 Play set [ ]250 Play set [ 10 17 12 ] Determine and interpret the following matrices: a.) AC b.) AS c.) S-C d.) A(S-C)

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