ALEKS 360 ONLINE ACCESS (6 WEEKS) FOR B
5th Edition
ISBN: 9781260962024
Author: Miller
Publisher: MCG
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Chapter 4, Problem 21T
To determine
To calculate: The number of mL of 10% acid solution that must be mixed with 25% acid solution to produce
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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.
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Chapter 4 Solutions
ALEKS 360 ONLINE ACCESS (6 WEEKS) FOR B
Ch. 4.1 - Determine whether the ordered paired is a solution...Ch. 4.1 - Determine whether the ordered paired is a solution...Ch. 4.1 - Solve the system by the graphing method. y = − 3 x...Ch. 4.1 - Solve the system by the graphing method. y = 2 x −...Ch. 4.1 - Solve the system by the graphing.
5.
Ch. 4.1 - Solve the system by the graphing.
6.
Ch. 4.1 - a. A______ of linear equations consists of two or...Ch. 4.1 - For Exercises 2-10, determine if the given point...Ch. 4.1 - Prob. 3PECh. 4.1 - Prob. 4PE
Ch. 4.1 - For Exercises 2-10, determine if the given point...Ch. 4.1 - Prob. 6PECh. 4.1 - Prob. 7PECh. 4.1 - Prob. 8PECh. 4.1 - Prob. 9PECh. 4.1 - Prob. 10PECh. 4.1 - For Exercises 11-14, match the graph of the system...Ch. 4.1 - Prob. 12PECh. 4.1 - Prob. 13PECh. 4.1 - For Exercises 11-14, match the graph of the system...Ch. 4.1 - Prob. 15PECh. 4.1 - Prob. 16PECh. 4.1 - Prob. 17PECh. 4.1 - Prob. 18PECh. 4.1 - Prob. 19PECh. 4.1 - Prob. 20PECh. 4.1 - For Exercises 16-26, determine which system of...Ch. 4.1 - Prob. 22PECh. 4.1 - Prob. 23PECh. 4.1 - Prob. 24PECh. 4.1 - Prob. 25PECh. 4.1 - Prob. 26PECh. 4.1 - Prob. 27PECh. 4.1 - Prob. 28PECh. 4.1 - For Exercises 27-50, solve the system by graphing....Ch. 4.1 - Prob. 30PECh. 4.1 - Prob. 31PECh. 4.1 - Prob. 32PECh. 4.1 - Prob. 33PECh. 4.1 - Prob. 34PECh. 4.1 - Prob. 35PECh. 4.1 - Prob. 36PECh. 4.1 - Prob. 37PECh. 4.1 - Prob. 38PECh. 4.1 - Prob. 39PECh. 4.1 - Prob. 40PECh. 4.1 - Prob. 41PECh. 4.1 - Prob. 42PECh. 4.1 - Prob. 43PECh. 4.1 - Prob. 44PECh. 4.1 - Prob. 45PECh. 4.1 - Prob. 46PECh. 4.1 - Prob. 47PECh. 4.1 - Prob. 48PECh. 4.1 - Prob. 49PECh. 4.1 - Prob. 50PECh. 4.1 - Prob. 51PECh. 4.1 - The cost to rent a 10 ft by 10 ft storage space is...Ch. 4.1 - For the systems graphed in Exercises 53-54,...Ch. 4.1 - For the systems graphed in Exercises 53-54,...Ch. 4.1 - Prob. 55PECh. 4.1 - Prob. 56PECh. 4.1 - One equation in a system of linear equations is x...Ch. 4.1 - Prob. 58PECh. 4.2 - Solve the system by using the substitution method....Ch. 4.2 - Prob. 2SPCh. 4.2 - Prob. 3SPCh. 4.2 - Prob. 4SPCh. 4.2 - Prob. 5SPCh. 4.2 - One number is 16 more than another. Their sum is...Ch. 4.2 - Prob. 7SPCh. 4.2 - For Exercises 1-6, write each pair of lines in...Ch. 4.2 - Prob. 2PECh. 4.2 - Prob. 3PECh. 4.2 - Prob. 4PECh. 4.2 - For Exercises 1-6, write each pair of lines in...Ch. 4.2 - Prob. 6PECh. 4.2 - Prob. 7PECh. 4.2 - Prob. 8PECh. 4.2 - Prob. 9PECh. 4.2 - Prob. 10PECh. 4.2 - Given the system: 4 x − 2 y = − 6 3 x + y...Ch. 4.2 - Prob. 12PECh. 4.2 - For Exercises 13-48, solve the system by using the...Ch. 4.2 - Prob. 14PECh. 4.2 - For Exercises 13-48, solve the system by using the...Ch. 4.2 - Prob. 16PECh. 4.2 - For Exercises 13-48, solve the system by using the...Ch. 4.2 - Prob. 18PECh. 4.2 - For Exercises 13-48, solve the system by using the...Ch. 4.2 - Prob. 20PECh. 4.2 - Prob. 21PECh. 4.2 - Prob. 22PECh. 4.2 - Prob. 23PECh. 4.2 - For Exercises 13-48, solve the system by using the...Ch. 4.2 - Prob. 25PECh. 4.2 - Prob. 26PECh. 4.2 - For Exercises 13-48, solve the system by using the...Ch. 4.2 - Prob. 28PECh. 4.2 - For Exercises 13-48, solve the system by using the...Ch. 4.2 - For Exercises 13-48, solve the system by using the...Ch. 4.2 - Prob. 31PECh. 4.2 - Prob. 32PECh. 4.2 - For Exercises 13-48, solve the system by using the...Ch. 4.2 - For Exercises 13-48, solve the system by using the...Ch. 4.2 - Prob. 35PECh. 4.2 - Prob. 36PECh. 4.2 - Prob. 37PECh. 4.2 - Prob. 38PECh. 4.2 - For Exercises 13-48, solve the system by using the...Ch. 4.2 - For Exercises 13-48, solve the system by using the...Ch. 4.2 - For Exercises 13-48, solve the system by using the...Ch. 4.2 - Prob. 42PECh. 4.2 - Prob. 43PECh. 4.2 - Prob. 44PECh. 4.2 - Prob. 45PECh. 4.2 - Prob. 46PECh. 4.2 - Prob. 47PECh. 4.2 - For Exercises 13-48, solve the system by using the...Ch. 4.2 - Prob. 49PECh. 4.2 - For Exercises 49-58, set up a system of linear...Ch. 4.2 - For Exercises 49-58, set up a system of linear...Ch. 4.2 - For Exercises 49-58, set up a system of linear...Ch. 4.2 - For Exercises 49-58, set up a system of linear...Ch. 4.2 - For Exercises 49-58, set up a system of linear...Ch. 4.2 - For Exercises 49-58, set up a system of linear...Ch. 4.2 - For Exercises 49-58, set up a system of linear...Ch. 4.2 - Prob. 57PECh. 4.2 - Prob. 58PECh. 4.2 - Prob. 59PECh. 4.2 - Prob. 60PECh. 4.3 - Solve the system by using the addition method. x +...Ch. 4.3 - Solve the system by using the addition method. 4 x...Ch. 4.3 - Prob. 3SPCh. 4.3 - Solve the system by using the addition method. 15...Ch. 4.3 - Solve the system by using the addition method. 2 3...Ch. 4.3 - Solve the system by using the addition method. 3 x...Ch. 4.3 - For Exercises 1-5, check whether the given ordered...Ch. 4.3 - For Exercises 1-5, check whether the given ordered...Ch. 4.3 - For Exercises 1-5, check whether the given ordered...Ch. 4.3 - For Exercises 1-5, check whether the given ordered...Ch. 4.3 - For Exercises 1-5, check whether the given ordered...Ch. 4.3 - For Exercises 6-7, answer as true or false. Given...Ch. 4.3 - Prob. 7PECh. 4.3 - Given the system 3 x − 4 y = 2 17 x + y = 35 a....Ch. 4.3 - 9. Given the system
a. Which variable, x or y, is...Ch. 4.3 - For Exercises 10-24, solve each system using the...Ch. 4.3 - For Exercises 10-24, solve each system using the...Ch. 4.3 - For Exercises 10-24, solve each system using the...Ch. 4.3 - For Exercises 10-24, solve each system using the...Ch. 4.3 - For Exercises 10-24, solve each system using the...Ch. 4.3 - For Exercises 10-24, solve each system using the...Ch. 4.3 - For Exercises 10-24, solve each system using the...Ch. 4.3 - For Exercises 10-24, solve each system using the...Ch. 4.3 - For Exercises 10-24, solve each system using the...Ch. 4.3 - For Exercises 10-24, solve each system using the...Ch. 4.3 - For Exercises 10-24, solve each system using the...Ch. 4.3 - For Exercises 10-24, solve each system using the...Ch. 4.3 - Prob. 22PECh. 4.3 - Prob. 23PECh. 4.3 - For Exercises 10-24, solve each system using the...Ch. 4.3 - Prob. 25PECh. 4.3 - Prob. 26PECh. 4.3 - Prob. 27PECh. 4.3 - Prob. 28PECh. 4.3 - Prob. 29PECh. 4.3 - 30. Suppose in solving a system of linear...Ch. 4.3 - For Exercises 31-42, solve the system by using the...Ch. 4.3 - Prob. 32PECh. 4.3 - Prob. 33PECh. 4.3 - Prob. 34PECh. 4.3 - Prob. 35PECh. 4.3 - Prob. 36PECh. 4.3 - Prob. 37PECh. 4.3 - Prob. 38PECh. 4.3 - Prob. 39PECh. 4.3 - Prob. 40PECh. 4.3 - Prob. 41PECh. 4.3 - Prob. 42PECh. 4.3 - Prob. 43PECh. 4.3 - Prob. 44PECh. 4.3 - Prob. 45PECh. 4.3 - Prob. 46PECh. 4.3 - Prob. 47PECh. 4.3 - Prob. 48PECh. 4.3 - Prob. 49PECh. 4.3 - Prob. 50PECh. 4.3 - Prob. 51PECh. 4.3 - Prob. 52PECh. 4.3 - Prob. 53PECh. 4.3 - Prob. 54PECh. 4.3 - Prob. 55PECh. 4.3 - Prob. 56PECh. 4.3 - For Exercises 43-63, solve each system of...Ch. 4.3 - Prob. 58PECh. 4.3 - Prob. 59PECh. 4.3 - Prob. 60PECh. 4.3 - Prob. 61PECh. 4.3 - Prob. 62PECh. 4.3 - Prob. 63PECh. 4.3 - Prob. 64PECh. 4.3 - Prob. 65PECh. 4.3 - Prob. 66PECh. 4.3 - Prob. 67PECh. 4.3 - Prob. 68PECh. 4.3 - Prob. 69PECh. 4.3 - For Exercises 70-72, solve the system by using...Ch. 4.3 - For Exercises 70-72, solve the system by using...Ch. 4.3 - For Exercises 70-72, solve the system by using...Ch. 4.3 - 73. Explain why a system of linear equations...Ch. 4.3 - Prob. 74PECh. 4.3 - Prob. 75PECh. 4.3 - For Exercises 1–6 determine the number of...Ch. 4.3 - For Exercises 1–6 determine the number of...Ch. 4.3 - Prob. 3PRECh. 4.3 - Prob. 4PRECh. 4.3 - Prob. 5PRECh. 4.3 - For Exercises 1–6 determine the number of...Ch. 4.3 - For Exercises 7–10, a method of solving has been...Ch. 4.3 - For Exercises 7–10, a method of solving has been...Ch. 4.3 - Prob. 9PRECh. 4.3 - Prob. 10PRECh. 4.3 - For Exercises 11–30, solve each system using the...Ch. 4.3 - For Exercises 11–30, solve each system using the...Ch. 4.3 - Prob. 13PRECh. 4.3 - For Exercises 11–30, solve each system using the...Ch. 4.3 - For Exercises 11–30, solve each system using the...Ch. 4.3 - For Exercises 11–30, solve each system using the...Ch. 4.3 - For Exercises 11–30, solve each system using the...Ch. 4.3 - For Exercises 11–30, solve each system using the...Ch. 4.3 - For Exercises 11–30, solve each system using the...Ch. 4.3 - For Exercises 11–30, solve each system using the...Ch. 4.3 - For Exercises 11–30, solve each system using the...Ch. 4.3 - For Exercises 11–30, solve each system using the...Ch. 4.3 - Prob. 23PRECh. 4.3 - Prob. 24PRECh. 4.3 - Prob. 25PRECh. 4.3 - Prob. 26PRECh. 4.3 - Prob. 27PRECh. 4.3 - Prob. 28PRECh. 4.3 - Prob. 29PRECh. 4.3 - Prob. 30PRECh. 4.4 - 1. Lynn went to a fast-food restaurant and spent...Ch. 4.4 - Prob. 2SPCh. 4.4 - Prob. 3SPCh. 4.4 - Prob. 4SPCh. 4.4 - For Exercises 1-4, solve each system of equations...Ch. 4.4 - Prob. 2PECh. 4.4 - Prob. 3PECh. 4.4 - Prob. 4PECh. 4.4 - Prob. 5PECh. 4.4 - Foe Exercises 5-8, set up a system of linear...Ch. 4.4 - Prob. 7PECh. 4.4 - Prob. 8PECh. 4.4 - 9. An online store sells old video games and DVDs...Ch. 4.4 - Tanya bought three adult tickets and one...Ch. 4.4 - 11. Nora bought 100 shares of a technology stock...Ch. 4.4 - 12. Eight students in Ms. Reese’s class decided to...Ch. 4.4 - 13. Mylee is a stamp collector and buys...Ch. 4.4 - Zoey purchased some beef and some chicken for a...Ch. 4.4 - 15. Shanelle invested $10,000, and at the end of 1...Ch. 4.4 - Prob. 16PECh. 4.4 - Prob. 17PECh. 4.4 - 18. Blake has a total of $4000 to invest in two...Ch. 4.4 - Prob. 19PECh. 4.4 - Prob. 20PECh. 4.4 - How much 50% disinfectant solution must be mixed...Ch. 4.4 - Prob. 22PECh. 4.4 - 23. How much 45% disinfectant solution must be...Ch. 4.4 - Prob. 24PECh. 4.4 - Prob. 25PECh. 4.4 - Prob. 26PECh. 4.4 - Prob. 27PECh. 4.4 - Silvia wants to mix a 40% apple juice drink with...Ch. 4.4 - Prob. 29PECh. 4.4 - Prob. 30PECh. 4.4 - Prob. 31PECh. 4.4 - A plane flies 720 mi with the wind in 3 hr. The...Ch. 4.4 - Prob. 33PECh. 4.4 - Prob. 34PECh. 4.4 - Debi has $2.80 in a collection of dimes and...Ch. 4.4 - Prob. 36PECh. 4.4 - Prob. 37PECh. 4.4 - Prob. 38PECh. 4.4 - In the 1961–1962 NBA basketball season, Wilt...Ch. 4.4 - 40. In the 1971–1972 NBA basketball season, Kareem...Ch. 4.4 - Prob. 41PECh. 4.4 - Prob. 42PECh. 4.4 - A total of $60,000 is invested in two accounts,...Ch. 4.4 - Prob. 44PECh. 4.4 - Prob. 45PECh. 4.4 - Prob. 46PECh. 4.4 - Prob. 47PECh. 4.4 - Prob. 48PECh. 4.4 - Prob. 49PECh. 4.4 - Prob. 50PECh. 4.5 - Solve the system. x + 2 y + z = 1 3 x − y + 2 z =...Ch. 4.5 - Prob. 2SPCh. 4.5 - Prob. 3SPCh. 4.5 - Prob. 4SPCh. 4.5 - Prob. 1PECh. 4.5 - For Exercises 2–4, solve the systems by using two...Ch. 4.5 - Prob. 3PECh. 4.5 - For Exercises 2–4, solve the systems by using two...Ch. 4.5 - Two cars leave Kansas City at the same time. One...Ch. 4.5 - Prob. 6PECh. 4.5 - Which of the following points are solutions to the...Ch. 4.5 - Prob. 8PECh. 4.5 - Prob. 9PECh. 4.5 - Prob. 10PECh. 4.5 - For Exercises 11–34, solve the system of...Ch. 4.5 - For Exercises 11–34, solve the system of...Ch. 4.5 - Prob. 13PECh. 4.5 - Prob. 14PECh. 4.5 - Prob. 15PECh. 4.5 - For Exercises 11–34, solve the system of...Ch. 4.5 - Prob. 17PECh. 4.5 - Prob. 18PECh. 4.5 - Prob. 19PECh. 4.5 - Prob. 20PECh. 4.5 - Prob. 21PECh. 4.5 - Prob. 22PECh. 4.5 - Prob. 23PECh. 4.5 - Prob. 24PECh. 4.5 - Prob. 25PECh. 4.5 - For Exercises 11–34, solve the system of...Ch. 4.5 - For Exercises 11–34, solve the system of...Ch. 4.5 - For Exercises 11–34, solve the system of...Ch. 4.5 - For Exercises 11–34, solve the system of...Ch. 4.5 - For Exercises 11–34, solve the system of...Ch. 4.5 - Prob. 31PECh. 4.5 - Prob. 32PECh. 4.5 - For Exercises 11–34, solve the system of...Ch. 4.5 - Prob. 34PECh. 4.5 - Prob. 35PECh. 4.5 - Prob. 36PECh. 4.5 - Prob. 37PECh. 4.5 - Prob. 38PECh. 4.5 - Prob. 39PECh. 4.5 - Prob. 40PECh. 4.5 - Prob. 41PECh. 4.5 - Prob. 42PECh. 4.5 - For Exercises 35–46, solve the system. If there is...Ch. 4.5 - Prob. 44PECh. 4.5 - Prob. 45PECh. 4.5 - Prob. 46PECh. 4.5 - Prob. 47PECh. 4.5 - Prob. 48PECh. 4.5 - Prob. 49PECh. 4.5 - Prob. 50PECh. 4.6 - 1. The perimeter of a triangle is 30 in. The...Ch. 4.6 - Annette, Barb, and Carlita work in a clothing...Ch. 4.6 - For Exercises 1–4, solve the system. If there is...Ch. 4.6 - Prob. 2PECh. 4.6 - Prob. 3PECh. 4.6 - Prob. 4PECh. 4.6 - Prob. 5PECh. 4.6 - Prob. 6PECh. 4.6 - One angle of a triangle measures 6° more than...Ch. 4.6 - Prob. 8PECh. 4.6 - Prob. 9PECh. 4.6 - 10. The perimeter of a triangle is 5 ft. The...Ch. 4.6 - Prob. 11PECh. 4.6 - Prob. 12PECh. 4.6 - Prob. 13PECh. 4.6 - Prob. 14PECh. 4.6 - Prob. 15PECh. 4.6 - Prob. 16PECh. 4.6 - Prob. 17PECh. 4.6 - Prob. 18PECh. 4.6 - Prob. 19PECh. 4.6 - Prob. 20PECh. 4.6 - Prob. 21PECh. 4.6 - Souvenir hats, T-shirts, and jackets are sold at a...Ch. 4.6 - Prob. 23PECh. 4.6 - Prob. 24PECh. 4 - For Exercises 1–4, determine if the ordered pair...Ch. 4 - Prob. 2RECh. 4 - Prob. 3RECh. 4 - Prob. 4RECh. 4 - Prob. 5RECh. 4 - Prob. 6RECh. 4 - Prob. 7RECh. 4 - Prob. 8RECh. 4 - Prob. 9RECh. 4 - Prob. 10RECh. 4 - For Exercises 11–18, solve the system by graphing....Ch. 4 - For Exercises 11–18, solve the system by graphing....Ch. 4 - Prob. 13RECh. 4 - Prob. 14RECh. 4 - Prob. 15RECh. 4 - Prob. 16RECh. 4 - For Exercises 11–18, solve the system by graphing....Ch. 4 - Prob. 18RECh. 4 - Once phone company charges $0.15 a minute for...Ch. 4 - Prob. 20RECh. 4 - Prob. 21RECh. 4 - Prob. 22RECh. 4 - Prob. 23RECh. 4 - Prob. 24RECh. 4 - 25. Given the system:
a. Which variable from...Ch. 4 - Prob. 26RECh. 4 - Prob. 27RECh. 4 - Prob. 28RECh. 4 - Prob. 29RECh. 4 - Prob. 30RECh. 4 - Prob. 31RECh. 4 - Prob. 32RECh. 4 - Prob. 33RECh. 4 - Given the system. 3 x − 5 y = 1 2 x − y = − 4 a....Ch. 4 - Prob. 35RECh. 4 - Prob. 36RECh. 4 - Prob. 37RECh. 4 - Prob. 38RECh. 4 - Prob. 39RECh. 4 - Prob. 40RECh. 4 - Prob. 41RECh. 4 - Prob. 42RECh. 4 - Prob. 43RECh. 4 - Prob. 44RECh. 4 - Prob. 45RECh. 4 - Prob. 46RECh. 4 - Prob. 47RECh. 4 - Prob. 48RECh. 4 - Prob. 49RECh. 4 - Prob. 50RECh. 4 - Prob. 51RECh. 4 - Prob. 52RECh. 4 - For Exercises 53–58, solve the systems of...Ch. 4 - For Exercises 53–58, solve the systems of...Ch. 4 - For Exercises 53–58, solve the systems of...Ch. 4 - Prob. 56RECh. 4 - Prob. 57RECh. 4 - For Exercises 53–58, solve the systems of...Ch. 4 - Prob. 59RECh. 4 - Prob. 60RECh. 4 - Prob. 61RECh. 4 - 62. In a triangle, the largest angle measures 76°...Ch. 4 - Prob. 1TCh. 4 - Prob. 2TCh. 4 - Prob. 3TCh. 4 - Prob. 4TCh. 4 - Prob. 5TCh. 4 - Prob. 6TCh. 4 - Prob. 7TCh. 4 - 8. a. How many solutions does a system of two...Ch. 4 - Prob. 9TCh. 4 - For Exercises 9–14, solve each system using any...Ch. 4 - For Exercises 9–14, solve each system using any...Ch. 4 - Prob. 12TCh. 4 - Prob. 13TCh. 4 - Prob. 14TCh. 4 - Latrell buys four CDs and two DVDs for $54 from...Ch. 4 - Prob. 16TCh. 4 - Prob. 17TCh. 4 - Prob. 18TCh. 4 - 19. A plane travels 910 mi in 2 hr against the...Ch. 4 - Prob. 20TCh. 4 - Prob. 21TCh. 4 - Prob. 22TCh. 4 - Prob. 23TCh. 4 - Prob. 24TCh. 4 - Prob. 25TCh. 4 - Prob. 26TCh. 4 - Prob. 27TCh. 4 - Prob. 1CRECh. 4 - Prob. 2CRECh. 4 - Prob. 3CRECh. 4 - Prob. 4CRECh. 4 - Prob. 5CRECh. 4 - Prob. 6CRECh. 4 - Prob. 7CRECh. 4 - Prob. 8CRECh. 4 - Prob. 9CRECh. 4 - Prob. 10CRECh. 4 - Prob. 11CRECh. 4 - Prob. 12CRECh. 4 - Prob. 13CRECh. 4 - Prob. 14CRECh. 4 - Sketch the following equations on the same graph....Ch. 4 - Prob. 16CRECh. 4 - Prob. 17CRECh. 4 - Use a system of linear equations to solve for x...Ch. 4 - In 1920, the average speed for the winner of the...Ch. 4 - Prob. 20CRE
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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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