solve the circled questions 31 Ax By C for y (B 0) 32 y mx b for m 34 C (F 32) for F Solve Problems 35 and 36 and graph 35 34 7x 18 36 1083 6 37 What can be said about the signs of the numbers a and b in each case (A) ab 0 ght 38 What can be said about the signs of the numbers a, b, and c in each case (A) abc () (C) 20 33 FC 32 for C 0 (B) ab 0 (B) (D) ab 0 0 be be 39 If both a and bare positive numbers and bla is greater than 1 then is a b positive or negative 40 If both a and bare negative numbers and bla is greater than 1, then is a b positive or negative In Problems 41 46, discuss the validity of each statement If the statement is true, explain why If not, give a counterexample 41 If the intersection of two open intervals is nonempty, then their intersection is an open interval 42 If the intersection of two closed intervals is nonempty, then their intersection is a closed interval 43 The union of any two open intervals is an open interval 44 The union of any two closed intervals is a closed interval 45 If the intersection of two open intervals is nonempty, then their union is an open interval 46 If the intersection of two closed intervals is nonempty, then their union is a closed interval Applications 47 Ticket sales A rock concert brought in $432,500 on the sale of 9,500 tickets If the tickets sold for $35 and $55 each, how many of each type of ticket were sold 48 Parking meter coins An all day parking meter takes only dimes and quarters If it contains 100 coins with a total value of $14 50, how many of each type of coin are in the meter SECTION 1 1 Linear Equations and Inequalities 11 50 IRA Refer to Problem 49 How should you divide your money between Fund A and Fund B to produce an annual in terest income of $30,000 51 Car prices If the price change of cars parallels the change in the CPI (see Table 2 in Example 10), what would a car sell for (to the nearest dollar) in 2012 if a comparable model sold for $10,000 in 1999 52 Home values If the price change in houses parallels the CPI (see Table 2 in Example 10), what would a house valued at $200,000 in 2012 be valued at (to the nearest dollar) in 1960 53 Retail and wholesale prices Retail prices in a department store are obtained by marking up the wholesale price by 40 That is, the retail price is obtained by adding 40 of the wholesale price to the wholesale price (A) What is the retail price of a suit if the wholesale price is $300 (B) What is the wholesale price of a pair of jeans if the retail price is $77 54 Retail and sale prices Sale prices in a department store are obtained by marking down the retail price by 15 That is, the sale price is obtained by subtracting 15 of the retail price from the retail price (A) What is the sale price of a hat that has a retail price of $60 (B) What is the retail price of a dress that has a sale price of $136 55 Equipment rental A golf course charges $52 for a round of golf using a set of their clubs, and S44 if you have your own clubs If you buy a set of clubs for $270, how many rounds must you play to recover the cost of the clubs 56 Equipment rental The local supermarket rents carpet cleaners for $20 a day These cleaners use shampoo in a special cartridge that sells for $16 and is available only from the supermarket A home carpet cleaner can be purchased for $300 Shampoo for the home cleaner is readily available for $9 a bottle Past experience has shown that it takes two shampoo cartridges to clean the 10 foot by 12 foot carpet in your living room with the rented cleaner Cleaning the same area with the home cleaner will consume three bottles of shampoo If you buy the home cleaner, how many times must you clean the living room carpet to make buying cheaper than renting 57 Sales commissions One employee of a computer store is paid a base salary of $2 000 a month plus an 8 commission on all sales over $7,000 during the month How much must the employee sell in one month to earn a total of $4,000 for the month 58 Sales commissions A second employee of the computer store in Problem 57 is paid a base salary of $3,000 a month plus a 5 commission on all sales during the month 49 IRA You have $500,000 in an IRA (Individual Retirement Account) at the time you retire You have the option of investing this money in two funds Fund A pays 5 2 annually and Fund B pays 7 7 annually How should you divide your money be tween Fund A and Fund B to produce an annual interest income of $34,000 Printed by Coretta Frazier (coratafiazier att nation 10 25 2015 from 107,203 129 130 authorized to use until 12 12 2015 Use beyond the authorized user or valid subscription date represents a copyright violation (A) How much must this employee sell in one month to earn a total of $4,000 for the month (B) Determine the sales level at which both employees receive the same monthly income

Question: solve the circled questions 31. Ax+By C; for y (B 0) 32. y = mx + b; for m 34. C (F-32); for F Solve

solve the circled questions

31. Ax+By= C, fory (B 0) 32. y=mx+b; for m 34. C (F-32); for F Solve Problems 35 and 36 and graph. 35.-34-7x 12 CHAPTER Linear Equations and Graphs 59. Break-even analysis. A publisher for a promising new novel figures CHAPTER 1 Linear Equations and Graphs 35. Given Ax+By 12, graph each of the following three cases in the same depreciation one of several methods permitted by the IRS) to determine the annual value of the tractor. (A) Table 9 Licensed Drivers in 2010 State Alaska Delaware Montana North Dakota South Dakota Vermont Wyoming Fall Enrollosent (millions) 147 12- 10- Table 14 Fall Enrollment (millions of students) Year Female 1970 3.54 CHAPTER Linear Equations and Graphs 10. Sketch a graph of 2x - 3y 18. What are the intercepts and slope of (B) What would be the retail price of a pair of in-line skates that cost $120? (C) What would be the cost of Applications 85. Price-demand. A company manufactures memory chips for microcomputers. Its marketing research 56 CHAPTER 2 Functions and Graphs 90. Profit. The financial department for the company in Problems 86 and 88

31. Ax+By C; for y (B 0) 32. y = mx + b; for m 34. C (F-32); for F Solve Problems 35 and 36 and graph. 35.-34-7x < 18 36.-1083-6 37. What can be said about the signs of the numbers a and b in each case? (A) ab > 0 ght 38. What can be said about the signs of the numbers a, b, and c in each case? (A) abc > () (C) 20 33. FC + 32; for C >0 (B) ab < 0 (B) (D) ab

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