College Algebra
7th Edition
ISBN: 9781305115545
Author: James Stewart, Lothar Redlin, Saleem Watson
Publisher: Cengage Learning
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Chapter 9, Problem 9E
To determine
To find:
The maximum number of codes possible to generate three security code for its employee.
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Compare the interest earned from #1 (where simple interest was used) to #5 (where compound interest was used). The principal, annual interest rate, and time were all the same; the only difference was that for #5, interest was compounded quarterly. Does the difference in interest earned make sense? Select one of the following statements. a. No, because more money should have been earned through simple interest than compound interest. b. Yes, because more money was earned through simple interest. For simple interest you earn interest on interest, not just on the amount of principal. c. No, because more money was earned through simple interest. For simple interest you earn interest on interest, not just on the amount of principal. d. Yes, because more money was earned when compounded quarterly. For compound interest you earn interest on interest, not just on the amount of principal.
Compare and contrast the simple and compound interest formulas. Which one of the following statements is correct? a. Simple interest and compound interest formulas both yield principal plus interest, so you must subtract the principal to get the amount of interest. b. Simple interest formula yields principal plus interest, so you must subtract the principal to get the amount of interest; Compound interest formula yields only interest, which you must add to the principal to get the final amount. c. Simple interest formula yields only interest, which you must add to the principal to get the final amount; Compound interest formula yields principal plus interest, so you must subtract the principal to get the amount of interest. d. Simple interest and compound interest formulas both yield only interest, which you must add to the principal to get the final amount.
Sara would like to go on a vacation in 5 years and she expects her total costs to be $3000. If she invests $2500 into a savings account for those 5 years at 8% interest, compounding semi-annually, how much money will she have? Round your answer to the nearest cent. Show you work. Will she be able to go on vacation? Why or why not?
Chapter 9 Solutions
College Algebra
Ch. 9.1 - The Fundamental Counting Principle says that if...Ch. 9.1 - The number of ways of arranging r objects form n...Ch. 9.1 - The number of ways of choosing r objects from n...Ch. 9.1 - True or False? In counting combinations, order...Ch. 9.1 - Evaluating Permutations and Combinations Evaluate...Ch. 9.1 - Evaluating Permutations and Combinations Evaluate...Ch. 9.1 - Prob. 7ECh. 9.1 - Prob. 8ECh. 9.1 - Prob. 9ECh. 9.1 - Evaluating Permutations and Combinations Evaluate...
Ch. 9.1 - Prob. 11ECh. 9.1 - Prob. 12ECh. 9.1 - Prob. 13ECh. 9.1 - Prob. 14ECh. 9.1 - Prob. 15ECh. 9.1 - Prob. 16ECh. 9.1 - Prob. 17ECh. 9.1 - Prob. 18ECh. 9.1 - Prob. 19ECh. 9.1 - Prob. 20ECh. 9.1 - Prob. 21ECh. 9.1 - Prob. 22ECh. 9.1 - Prob. 23ECh. 9.1 - Prob. 24ECh. 9.1 - Prob. 25ECh. 9.1 - Prob. 26ECh. 9.1 - Prob. 27ECh. 9.1 - Prob. 28ECh. 9.1 - Fundamental Counting Principle. The exercises...Ch. 9.1 - Prob. 30ECh. 9.1 - Prob. 31ECh. 9.1 - Prob. 32ECh. 9.1 - Prob. 33ECh. 9.1 - Prob. 34ECh. 9.1 - Fundamental Counting Principle. The exercises...Ch. 9.1 - Prob. 36ECh. 9.1 - Prob. 37ECh. 9.1 - Prob. 38ECh. 9.1 - Prob. 39ECh. 9.1 - Prob. 40ECh. 9.1 - Prob. 41ECh. 9.1 - Prob. 42ECh. 9.1 - Prob. 43ECh. 9.1 - Prob. 44ECh. 9.1 - Prob. 45ECh. 9.1 - Prob. 46ECh. 9.1 - Prob. 47ECh. 9.1 - Prob. 48ECh. 9.1 - Prob. 49ECh. 9.1 - Prob. 50ECh. 9.1 - Prob. 51ECh. 9.1 - Prob. 52ECh. 9.1 - Prob. 53ECh. 9.1 - Distinguishable Permutations These exercises...Ch. 9.1 - Prob. 55ECh. 9.1 - Distinguishable Permutations These exercises...Ch. 9.1 - Prob. 57ECh. 9.1 - Prob. 58ECh. 9.1 - Prob. 59ECh. 9.1 - Prob. 60ECh. 9.1 - Prob. 61ECh. 9.1 - Prob. 62ECh. 9.1 - Prob. 63ECh. 9.1 - Prob. 64ECh. 9.1 - Prob. 65ECh. 9.1 - Prob. 66ECh. 9.1 - Prob. 67ECh. 9.1 - Prob. 68ECh. 9.1 - Prob. 69ECh. 9.1 - Prob. 70ECh. 9.1 - Prob. 71ECh. 9.1 - Prob. 72ECh. 9.1 - Prob. 73ECh. 9.1 - Prob. 74ECh. 9.1 - Prob. 75ECh. 9.1 - Prob. 76ECh. 9.1 - Prob. 77ECh. 9.1 - Counting Principles Solve these exercise by using...Ch. 9.1 - Prob. 79ECh. 9.1 - Counting Principles Solve these exercise by using...Ch. 9.1 - Prob. 81ECh. 9.1 - Prob. 82ECh. 9.1 - Prob. 83ECh. 9.1 - Prob. 84ECh. 9.1 - Prob. 85ECh. 9.1 - Counting Principles Solve these exercise by using...Ch. 9.1 - Prob. 87ECh. 9.1 - Counting Principles Solve these exercise by using...Ch. 9.1 - Prob. 89ECh. 9.1 - Prob. 90ECh. 9.1 - Prob. 91ECh. 9.1 - DISCUSS: Complementary Combinations Without...Ch. 9.1 - Prob. 93ECh. 9.1 - DISCUSS • DISCOVER: Why ls (;) the Same as C(n,r)?...Ch. 9.2 - The set all possible outcomes of an experiment is...Ch. 9.2 - Prob. 2ECh. 9.2 - The conditional probability of E given that F...Ch. 9.2 - Let E and F be events in a sample space S. (a) The...Ch. 9.2 - Prob. 5ECh. 9.2 - Prob. 6ECh. 9.2 - probability by Counting these exercises involve...Ch. 9.2 - Prob. 8ECh. 9.2 - Prob. 9ECh. 9.2 - Prob. 10ECh. 9.2 - A card is drawn randomly from a standard 52-card...Ch. 9.2 - A card is drawn randomly from a standard 52-card...Ch. 9.2 - Prob. 13ECh. 9.2 - Prob. 14ECh. 9.2 - A poker hand, consisting of five cards, is dealt...Ch. 9.2 - Three CD, arc picked it random from a collection...Ch. 9.2 - Two balls are picked at random from a jar that...Ch. 9.2 - A letter is chosen at random from the word...Ch. 9.2 - A five-card poker hand is drawn from a standard...Ch. 9.2 - A pair of dice is rolled, and the numbers showing...Ch. 9.2 - Union of Events These exercises involve finding...Ch. 9.2 - Prob. 22ECh. 9.2 - Prob. 23ECh. 9.2 - Prob. 24ECh. 9.2 - Union of Events These exercises involve finding...Ch. 9.2 - Prob. 26ECh. 9.2 - Prob. 27ECh. 9.2 - Prob. 28ECh. 9.2 - Refer to the spinner in Exercises 21-22. 21-22...Ch. 9.2 - Refer to the spinner in Exercises 21-22 21—22...Ch. 9.2 - Prob. 31ECh. 9.2 - Two balls are drawn at random from the jar. Find...Ch. 9.2 - Prob. 33ECh. 9.2 - Intersection of Events these exercises involve the...Ch. 9.2 - Prob. 35ECh. 9.2 - Prob. 36ECh. 9.2 - Intersection of Evens These exercises involve the...Ch. 9.2 - Intersection of Evens These exercises involve the...Ch. 9.2 - Spinner A and B shown in the figure are spun at...Ch. 9.2 - Spinner A and B shown in the figure are spun at...Ch. 9.2 - Four Siblings A couple intends to ha four...Ch. 9.2 - Bridge Hands What is the probability that a...Ch. 9.2 - Roulette An American roulette wheel has 38 slots....Ch. 9.2 - Prob. 44ECh. 9.2 - Prob. 45ECh. 9.2 - An Unlikely Event The president of a large company...Ch. 9.2 - Prob. 47ECh. 9.2 - Quality Control To control the quality of their...Ch. 9.2 - Monkeys Typing Shakespeare An often-quoted example...Ch. 9.2 - Making Words A monkey is trained to arrange wooden...Ch. 9.2 - Prob. 51ECh. 9.2 - Prob. 52ECh. 9.2 - Prob. 53ECh. 9.2 - Prob. 54ECh. 9.2 - Roulette An American roulette wheel has 38 slots....Ch. 9.2 - Prob. 56ECh. 9.2 - Snake Eyes What ¡s the probability of rolling...Ch. 9.2 - Lottery In the 6/49 lottery game a player selects...Ch. 9.2 - Marbles In a Jar A jar contains six red marbles...Ch. 9.2 - Prob. 60ECh. 9.2 - Balls in a Jar Jar A contains three red balls and...Ch. 9.2 - Prob. 62ECh. 9.2 - Prob. 63ECh. 9.2 - Committee Membership A mathematics department...Ch. 9.2 - Class Photo Twenty students are arranged randomly...Ch. 9.2 - Making Words A monkey is trained to arrange wooden...Ch. 9.2 - Making Words A monkey is trained to arrange wooden...Ch. 9.2 - Prob. 68ECh. 9.3 - A binomial experiment is UDC in which there are...Ch. 9.3 - If a binomial experiment has probability p...Ch. 9.3 - Binomial Trials Five independent trials of a...Ch. 9.3 - Binomial Trials Five independent trials of a...Ch. 9.3 - Binomial Trials Five independent trials of a...Ch. 9.3 - Prob. 6ECh. 9.3 - Prob. 7ECh. 9.3 - Prob. 8ECh. 9.3 - Prob. 9ECh. 9.3 - Binomial Trials Five independent trials of a...Ch. 9.3 - Prob. 11ECh. 9.3 - Binomial Trials Five independent trials of a...Ch. 9.3 - Prob. 13ECh. 9.3 - Prob. 14ECh. 9.3 - Prob. 15ECh. 9.3 - Probability Distribution An experiment is...Ch. 9.3 - Prob. 17ECh. 9.3 - Prob. 18ECh. 9.3 - Prob. 19ECh. 9.3 - Prob. 20ECh. 9.3 - Prob. 21ECh. 9.3 - Archery An archer hits his target 80% of the time....Ch. 9.3 - Prob. 23ECh. 9.3 - Spread of Disease Health authorities estimate that...Ch. 9.3 - Blood Type about 45% of populations Of the United...Ch. 9.3 - Prob. 26ECh. 9.3 - Prob. 27ECh. 9.3 - Prob. 28ECh. 9.3 - Prob. 29ECh. 9.3 - Prob. 30ECh. 9.3 - Defective Light Bulbs The Dim Bulb lighting...Ch. 9.3 - Quality Control An assembly line that manufacturer...Ch. 9.3 - Sick leave probability that a given worker at Dyno...Ch. 9.3 - Political Surveys In a certain county, 60% of the...Ch. 9.3 - Pharmaceuticals A drug that is to prevent motion...Ch. 9.3 - Reliability of a Machine A machine that is used in...Ch. 9.3 - Genetics Huntington's disease a hereditary ailment...Ch. 9.3 - Select Cards Three cards are randomly selected...Ch. 9.3 - Smokers md Nonsmokers The participants at a...Ch. 9.3 - Telephone Marketing A mortgage company advertises...Ch. 9.3 - Effectiveness of a Drug A certain disease has a...Ch. 9.3 - Hitting a Target An archer normally hits the...Ch. 9.3 - DISCUSS: Most Likely Outcome for n Tosses of a...Ch. 9.4 - If a game gives payoffs of $10 and $100 with...Ch. 9.4 - If you played the game in Exercise 1 many times,...Ch. 9.4 - Expected Value of a Game Find the expected value...Ch. 9.4 - Expected Value of a Game Find the expected value...Ch. 9.4 - Expected Value of a Game Find the expected value...Ch. 9.4 - Expected Value of a Game Find the expected value...Ch. 9.4 - Expected Value of a Game Find the expected value...Ch. 9.4 - Expected Value of a Game Find the expected value...Ch. 9.4 - Expected Value of a Game Find the expected value...Ch. 9.4 - Expected Value of a Game Find the expected value...Ch. 9.4 - Expected Value of a Game Find the expected value...Ch. 9.4 - Expected Value of a Game Find the expected value...Ch. 9.4 - Roulette An American roulette wheel has 38 slots....Ch. 9.4 - Sweepstakes A sweeptakes offer ¡s first prize of...Ch. 9.4 - A Game of Chance A box contains 100 envelopes. Ten...Ch. 9.4 - Combination Lock A safe containing $1000000 is...Ch. 9.4 - Prob. 17ECh. 9.4 - Prob. 18ECh. 9.4 - Lottery In a 6/49 lottery game, a player pays $1...Ch. 9.4 - Prob. 20ECh. 9.4 - Prob. 21ECh. 9.4 - Prob. 22ECh. 9.4 - Prob. 23ECh. 9.4 - Prob. 24ECh. 9.4 - Prob. 25ECh. 9.4 - Prob. 26ECh. 9.4 - Prob. 27ECh. 9.4 - Prob. 28ECh. 9.4 - Prob. 29ECh. 9.4 - Prob. 30ECh. 9.4 - Prob. 31ECh. 9 - Prob. 1CCCh. 9 - Prob. 2CCCh. 9 - (a) What is a combination of r elements of a set?...Ch. 9 - Prob. 4CCCh. 9 - Prob. 5CCCh. 9 - Prob. 6CCCh. 9 - Prob. 7CCCh. 9 - (a) An experiment has two outcomes, "success" and...Ch. 9 - Prob. 9CCCh. 9 - Prob. 1ECh. 9 - Prob. 2ECh. 9 - Prob. 3ECh. 9 - Prob. 4ECh. 9 - Prob. 5ECh. 9 - Prob. 6ECh. 9 - Prob. 7ECh. 9 - Prob. 8ECh. 9 - Prob. 9ECh. 9 - Counting These exercises involve counting....Ch. 9 - Counting These exercises involve counting. Coin...Ch. 9 - Prob. 12ECh. 9 - Counting These exercises involve counting. Tennis...Ch. 9 - Counting These exercises involve counting. Pizza...Ch. 9 - Prob. 15ECh. 9 - Prob. 16ECh. 9 - Prob. 17ECh. 9 - Prob. 18ECh. 9 - Prob. 19ECh. 9 - Prob. 20ECh. 9 - Prob. 21ECh. 9 - Prob. 22ECh. 9 - Prob. 23ECh. 9 - Prob. 24ECh. 9 - Prob. 25ECh. 9 - Prob. 26ECh. 9 - Prob. 27ECh. 9 - Prob. 28ECh. 9 - Prob. 29ECh. 9 - Prob. 30ECh. 9 - Probability These exercises involve Probability...Ch. 9 - Prob. 32ECh. 9 - Prob. 33ECh. 9 - Prob. 34ECh. 9 - Prob. 35ECh. 9 - Prob. 36ECh. 9 - Prob. 37ECh. 9 - Prob. 38ECh. 9 - Prob. 39ECh. 9 - Prob. 40ECh. 9 - Prob. 41ECh. 9 - Prob. 42ECh. 9 - Prob. 43ECh. 9 - Binomial Probability These Exercise involve...Ch. 9 - Prob. 45ECh. 9 - Prob. 46ECh. 9 - Prob. 47ECh. 9 - Prob. 48ECh. 9 - Expected Value These exercises involve expected...Ch. 9 - Prob. 50ECh. 9 - Alice and Bill have four grandchild, and they have...Ch. 9 - A hospital cafeteria offers a fixed-price lunch...Ch. 9 - An Internet service provider requires its...Ch. 9 - Over the past year, John has purchased 30 books....Ch. 9 - A commuter must Lrae1 from Ajax to Barrie and back...Ch. 9 - A pizza parlor offers four sizes of pizza and 14...Ch. 9 - An anagram of a word is a rearrangement of the...Ch. 9 - Prob. 8TCh. 9 - One card ¡s drawn from a deck. Find the...Ch. 9 - A jar contains five red balls, numbered 1 to 5,...Ch. 9 - Three people are chosen at random from a group of...Ch. 9 - Prob. 12TCh. 9 - In a group of four students, what is the...Ch. 9 - An unbalanced coin is weighted so that the...Ch. 9 - Prob. 15TCh. 9 - Prob. 1PCh. 9 - Family Planning A intend to have two children....Ch. 9 - Dividing a Jackpot A game between two pIayers...Ch. 9 - Long or Short World Series? In the World Series...Ch. 9 - Prob. 5PCh. 9 - Areas of Curved Regions the Monte Carlo method can...Ch. 9 - Prob. 7P
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- If $8000 is deposited into an account earning simple interest at an annual interest rate of 4% for 10 years, howmuch interest was earned? Show you work.arrow_forward10-2 Let A = 02-4 and b = 4 Denote the columns of A by a₁, a2, a3, and let W = Span {a1, a2, a̸3}. -4 6 5 - 35 a. Is b in {a1, a2, a3}? How many vectors are in {a₁, a₂, a3}? b. Is b in W? How many vectors are in W? c. Show that a2 is in W. [Hint: Row operations are unnecessary.] a. Is b in {a₁, a2, a3}? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. ○ A. No, b is not in {a₁, a2, 3} since it cannot be generated by a linear combination of a₁, a2, and a3. B. No, b is not in (a1, a2, a3} since b is not equal to a₁, a2, or a3. C. Yes, b is in (a1, a2, a3} since b = a (Type a whole number.) D. Yes, b is in (a1, a2, 3} since, although b is not equal to a₁, a2, or a3, it can be expressed as a linear combination of them. In particular, b = + + ☐ az. (Simplify your answers.)arrow_forward14 14 4. The graph shows the printing rate of Printer A. Printer B can print at a rate of 25 pages per minute. How does the printing rate for Printer B compare to the printing rate for Printer A? The printing rate for Printer B is than the rate for Printer A because the rate of 25 pages per minute is than the rate of for Printer A. pages per minute RIJOUT 40 fy Printer Rat Number of Pages 8N WA 10 30 20 Printer A 0 0 246 Time (min) Xarrow_forward
- OR 16 f(x) = Ef 16 χ по x²-2 410 | y = (x+2) + 4 Y-INT: y = 0 X-INT: X=0 VA: x=2 OA: y=x+2 0 X-INT: X=-2 X-INT: y = 2 VA 0 2 whole. 2-2 4 y - (x+2) = 27-270 + xxx> 2 क् above OA (x+2) OA x-2/x²+0x+0 2 x-2x 2x+O 2x-4 4 X<-1000 4/4/2<0 below Of y VA X=2 X-2 OA y=x+2 -2 2 (0,0) 2 χarrow_forwardI need help solving the equation 3x+5=8arrow_forwardWhat is the domain, range, increasing intervals (theres 3), decreasing intervals, roots, y-intercepts, end behavior (approaches four times), leading coffiencent status (is it negative, positivie?) the degress status (zero, undifined etc ), the absolute max, is there a absolute minimum, relative minimum, relative maximum, the root is that has a multiplicity of 2, the multiplicity of 3.arrow_forward
- What is the vertex, axis of symmerty, all of the solutions, all of the end behaviors, the increasing interval, the decreasing interval, describe all of the transformations that have occurred EXAMPLE Vertical shrink/compression (wider). or Vertical translation down, the domain and range of this graph EXAMPLE Domain: x ≤ -1 Range: y ≥ -4.arrow_forward4. Select all of the solutions for x²+x - 12 = 0? A. -12 B. -4 C. -3 D. 3 E 4 F 12 4 of 10arrow_forward2. Select all of the polynomials with the degree of 7. A. h(x) = (4x + 2)³(x − 7)(3x + 1)4 B h(x) = (x + 7)³(2x + 1)^(6x − 5)² ☐ Ch(x)=(3x² + 9)(x + 4)(8x + 2)ª h(x) = (x + 6)²(9x + 2) (x − 3) h(x)=(-x-7)² (x + 8)²(7x + 4)³ Scroll down to see more 2 of 10arrow_forward
- 1. If all of the zeros for a polynomial are included in the graph, which polynomial could the graph represent? 100 -6 -2 0 2 100 200arrow_forward3. Select the polynomial that matches the description given: Zero at 4 with multiplicity 3 Zero at −1 with multiplicity 2 Zero at -10 with multiplicity 1 Zero at 5 with multiplicity 5 ○ A. P(x) = (x − 4)³(x + 1)²(x + 10)(x — 5)³ B - P(x) = (x + 4)³(x − 1)²(x − 10)(x + 5)³ ○ ° P(x) = (1 − 3)'(x + 2)(x + 1)"'" (x — 5)³ 51 P(r) = (x-4)³(x − 1)(x + 10)(x − 5 3 of 10arrow_forwardMatch the equation, graph, and description of transformation. Horizontal translation 1 unit right; vertical translation 1 unit up; vertical shrink of 1/2; reflection across the x axis Horizontal translation 1 unit left; vertical translation 1 unit down; vertical stretch of 2 Horizontal translation 2 units right; reflection across the x-axis Vertical translation 1 unit up; vertical stretch of 2; reflection across the x-axis Reflection across the x - axis; vertical translation 2 units down Horizontal translation 2 units left Horizontal translation 2 units right Vertical translation 1 unit down; vertical shrink of 1/2; reflection across the x-axis Vertical translation 2 units down Horizontal translation 1 unit left; vertical translation 2 units up; vertical stretch of 2; reflection across the x - axis f(x) = - =-½ ½ (x − 1)²+1 f(x) = x²-2 f(x) = -2(x+1)²+2 f(x)=2(x+1)²-1 f(x)=-(x-2)² f(x)=(x-2)² f(x) = f(x) = -2x²+1 f(x) = -x²-2 f(x) = (x+2)²arrow_forward
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