INSTRUCTOR’S
SOLUTIONS MANUAL
R
E U
S
B USINESS M ATH
S
ELEVENTH EDITION
I
O
N
N
Cheryl Cleaves
O
Southwest Tennessee Community College, Emerita
C
Margie Hobbs
D
Southwest Tennessee Community College, Emerita
E
Jeffrey Noble
M
Madison College
, Table of Contents
Chapter 1: Review of Whole Numbers and Integers 1
Chapter 2: Review of Fractions 9
Chapter 3: Decimals 19
R
Chapter 4: Banking 29
U
Chapter 5: Equations 40
E
Chapter 6: Percents 51
Chapter 7: Business Statistics 62
S
Chapter 8: Trade and Cash Discounts 75
S
Chapter 9: Markup and Markdown 84
I
O
Chapter 10: Payroll 99
Chapter 11: Simple Interest and Simple Discount 110
N
Chapter 12: Consumer Credit 121
N
Chapter 13: Compound Interest, Future Value, and Present Value 130
O
Chapter 14: Annuities and Sinking Funds 140
Chapter 15: Building Wealth Through Investments 155
C
Chapter 16: Mortgages 164
D
Chapter 17: Depreciation 181
E
Chapter 18: Inventory 194
Chapter 19: Insurance 206
M
Chapter 20: Taxes 215
Chapter 21: Financial Statements 223
, Chapter 1 Review of Whole Numbers and Integers
Section Exercises
1-1, p. 9
1. Twenty-two million, three hundred fifty-six thousand, 2. One hundred six billion, three hundred fifty-seven
twenty-seven million, two hundred ninety-one thousand, five hundred
eighty-two
3. Seven hundred thirty million, five hundred thirty-one 4. Twenty-one million, seventeen
R
thousand, nine hundred sixty-eight
5. Five hundred twenty-three billion, eight hundred million, 6. Seven hundred thirteen million, two hundred five
U
seven thousand, one hundred ninety thousand, five hundred thirty-eight
7. 14,985 8. 32,943,608
E
9. 17,000,803,075 10. 50,612,078
S
11. 306,541 12. 300,760,512
13. 8 is in the tens place. 3 is to its right and is less than 5. 14. 7 is in the hundreds place. The digit 6 is on the right and
S
Leave 8 and replace 3 with zero; 480. is 5 or more. Add 1 to 7 and replace 6 and 2 with zeros;
3,800.
I
15. 9 is in the ten-thousands place and 8 is 5 or greater. So 16. 5 is the first digit. 7 is 5 or greater, so add 1 to 5 and
O
increase 9 by 1. Since 9 + 1 = 10, we record 0 and carry replace all digits to its right with zeros; 60,000.
1 to the next place to the left. 2 1 3. Replace digits to
the right of the ten-thousands place with zeros; 300,000.
N
17. $4,000,000,000 18. $25,972,800
N
19. 6 is in the millions place, 3 on the right is less than 5, so 20. 1 is in the first place. The digit to the right, 5, is 5 or
leave 6 as it is and replace all digits on its right with more, so round up by adding 1 to the 1 in the first place.
zeros; 86,000,000. Replace all digits to the right with zeros; 2,000.
O
21. Negative fifteen thousand, three hundred fourteen dollars 22. Negative eight thousand, four hundred twenty dollars
23. Negative eight thousand, six hundred thirty-six dollars 24. Negative twenty-thousand, one hundred fifty-seven
C
dollars
25. $520,000,000 26. $1,800,000,000
D
1-2, p. 24
E
1. 300 600 700 1,600; 1,637 2. 700 1,000 60 1,760; 1,710
M
3. 800 1,000 50 1,850; 1,843 4. 6,000 20,000 30,000 56,000; 53,871
5. 89 6. 4 15
7. 2 10
8. 3 10 9. 6
5 5 3 0 8 5, 4 0 9
52
3 6 2 7 5 2, 1 7 6
37
19 33 3, 2 3 3
10. 92 11. 8,188 12. 403 13. 21 14. 17
15. 12 16. 4 17. 730 18. 904 19. 1, 005
60 24 89
43,800 3 616 9 045
18 08 80 40
21,696 89,445
Copyright © 2018 Pearson Education, Inc. Chapter 1 1
, 20. 138 21. 480 22. 5,312 23. $580,412
24. 16 25. 407 26. 260 R4
6 96 34 13,838 17 4, 424
6 13 6 34
36 23 1 02
36 0 1 02
238 4
238 0
4
R
27. −8 28. 7 29. −42 30. $239 31. 4 32. $51 33. 26 34. −217
35. 2,950 50 36. 689,100 30 37. 57,800,000 2,000 38. 5,730,000 300
U
295 5 59 68,910 3 22,970 57,800 2 28,900 57,300 3 19,100
39. Region W Th F S Su Region Totals
E
Eastern $72,492 $81,948 $32,307 $24,301 $32,589 $243,637
Southern 81,897 59,421 48,598 61,025 21,897 272,838
S
Central 71,708 22,096 23,222 21,507 42,801 181,334
Western 61,723 71,687 52,196 41,737 22,186 249,529
S
Daily Sales Total $287,820 $235,152 $156,323 $148,570 $119,473 $947,338
Region Totals $243,637 $272,838 $181,334 Daily Sales Totals $287,820 $235,152 $156,323
I
$249,529 $947,338 $148,570 $119,473 $947,338
O
Difference Goal Actual $1,384,000 $947,338 Goal was not reached.
$436,662
N
40. Total pounds of candy 84 25 2,100 41. 922 R256 The average selling price of
Number of bags of candy 2,100 3 700 352 324,800 each trailer was nearly $923.
N
Number of boxes of candy 700 12 58 R4 316 8
There are 58 boxes of candy and 4 bags left so 59 boxes will 8 00
be needed to ship all the candy. Enough bags and boxes are on 7 04
O
hand to package. 960
704
C
256
42. Total length of fencing needed 210 4 840 feet 43. Wages 3 $15 21 $945
D
Number of rolls of fencing needed 840 50 16 R40 Gross profit total cost of materials cost of labor
Because a partial roll of fencing cannot be purchased,
Gross profit $1,673 $833 $945 $105
17 rolls are needed.
E
Cost of 17 rolls of fencing $49 17 $833
Cost of installing fence $1 840 $840
M
Total cost $833 $840 $1,673
Your bid is the lowest bid and you are likely to get the
business.
44. 8832 8 1104 Each vendor supplied 1,104 boxes of 45. 348 12 29 You will need 29 boxes.
cards.
46. 21960 16300 5660 Visitors increased by 5,660. 47. 200000000 500000 199500000
The sales increase is $199,500,000.
2 Chapter 1 Copyright © 2018 Pearson Education, Inc.
SOLUTIONS MANUAL
R
E U
S
B USINESS M ATH
S
ELEVENTH EDITION
I
O
N
N
Cheryl Cleaves
O
Southwest Tennessee Community College, Emerita
C
Margie Hobbs
D
Southwest Tennessee Community College, Emerita
E
Jeffrey Noble
M
Madison College
, Table of Contents
Chapter 1: Review of Whole Numbers and Integers 1
Chapter 2: Review of Fractions 9
Chapter 3: Decimals 19
R
Chapter 4: Banking 29
U
Chapter 5: Equations 40
E
Chapter 6: Percents 51
Chapter 7: Business Statistics 62
S
Chapter 8: Trade and Cash Discounts 75
S
Chapter 9: Markup and Markdown 84
I
O
Chapter 10: Payroll 99
Chapter 11: Simple Interest and Simple Discount 110
N
Chapter 12: Consumer Credit 121
N
Chapter 13: Compound Interest, Future Value, and Present Value 130
O
Chapter 14: Annuities and Sinking Funds 140
Chapter 15: Building Wealth Through Investments 155
C
Chapter 16: Mortgages 164
D
Chapter 17: Depreciation 181
E
Chapter 18: Inventory 194
Chapter 19: Insurance 206
M
Chapter 20: Taxes 215
Chapter 21: Financial Statements 223
, Chapter 1 Review of Whole Numbers and Integers
Section Exercises
1-1, p. 9
1. Twenty-two million, three hundred fifty-six thousand, 2. One hundred six billion, three hundred fifty-seven
twenty-seven million, two hundred ninety-one thousand, five hundred
eighty-two
3. Seven hundred thirty million, five hundred thirty-one 4. Twenty-one million, seventeen
R
thousand, nine hundred sixty-eight
5. Five hundred twenty-three billion, eight hundred million, 6. Seven hundred thirteen million, two hundred five
U
seven thousand, one hundred ninety thousand, five hundred thirty-eight
7. 14,985 8. 32,943,608
E
9. 17,000,803,075 10. 50,612,078
S
11. 306,541 12. 300,760,512
13. 8 is in the tens place. 3 is to its right and is less than 5. 14. 7 is in the hundreds place. The digit 6 is on the right and
S
Leave 8 and replace 3 with zero; 480. is 5 or more. Add 1 to 7 and replace 6 and 2 with zeros;
3,800.
I
15. 9 is in the ten-thousands place and 8 is 5 or greater. So 16. 5 is the first digit. 7 is 5 or greater, so add 1 to 5 and
O
increase 9 by 1. Since 9 + 1 = 10, we record 0 and carry replace all digits to its right with zeros; 60,000.
1 to the next place to the left. 2 1 3. Replace digits to
the right of the ten-thousands place with zeros; 300,000.
N
17. $4,000,000,000 18. $25,972,800
N
19. 6 is in the millions place, 3 on the right is less than 5, so 20. 1 is in the first place. The digit to the right, 5, is 5 or
leave 6 as it is and replace all digits on its right with more, so round up by adding 1 to the 1 in the first place.
zeros; 86,000,000. Replace all digits to the right with zeros; 2,000.
O
21. Negative fifteen thousand, three hundred fourteen dollars 22. Negative eight thousand, four hundred twenty dollars
23. Negative eight thousand, six hundred thirty-six dollars 24. Negative twenty-thousand, one hundred fifty-seven
C
dollars
25. $520,000,000 26. $1,800,000,000
D
1-2, p. 24
E
1. 300 600 700 1,600; 1,637 2. 700 1,000 60 1,760; 1,710
M
3. 800 1,000 50 1,850; 1,843 4. 6,000 20,000 30,000 56,000; 53,871
5. 89 6. 4 15
7. 2 10
8. 3 10 9. 6
5 5 3 0 8 5, 4 0 9
52
3 6 2 7 5 2, 1 7 6
37
19 33 3, 2 3 3
10. 92 11. 8,188 12. 403 13. 21 14. 17
15. 12 16. 4 17. 730 18. 904 19. 1, 005
60 24 89
43,800 3 616 9 045
18 08 80 40
21,696 89,445
Copyright © 2018 Pearson Education, Inc. Chapter 1 1
, 20. 138 21. 480 22. 5,312 23. $580,412
24. 16 25. 407 26. 260 R4
6 96 34 13,838 17 4, 424
6 13 6 34
36 23 1 02
36 0 1 02
238 4
238 0
4
R
27. −8 28. 7 29. −42 30. $239 31. 4 32. $51 33. 26 34. −217
35. 2,950 50 36. 689,100 30 37. 57,800,000 2,000 38. 5,730,000 300
U
295 5 59 68,910 3 22,970 57,800 2 28,900 57,300 3 19,100
39. Region W Th F S Su Region Totals
E
Eastern $72,492 $81,948 $32,307 $24,301 $32,589 $243,637
Southern 81,897 59,421 48,598 61,025 21,897 272,838
S
Central 71,708 22,096 23,222 21,507 42,801 181,334
Western 61,723 71,687 52,196 41,737 22,186 249,529
S
Daily Sales Total $287,820 $235,152 $156,323 $148,570 $119,473 $947,338
Region Totals $243,637 $272,838 $181,334 Daily Sales Totals $287,820 $235,152 $156,323
I
$249,529 $947,338 $148,570 $119,473 $947,338
O
Difference Goal Actual $1,384,000 $947,338 Goal was not reached.
$436,662
N
40. Total pounds of candy 84 25 2,100 41. 922 R256 The average selling price of
Number of bags of candy 2,100 3 700 352 324,800 each trailer was nearly $923.
N
Number of boxes of candy 700 12 58 R4 316 8
There are 58 boxes of candy and 4 bags left so 59 boxes will 8 00
be needed to ship all the candy. Enough bags and boxes are on 7 04
O
hand to package. 960
704
C
256
42. Total length of fencing needed 210 4 840 feet 43. Wages 3 $15 21 $945
D
Number of rolls of fencing needed 840 50 16 R40 Gross profit total cost of materials cost of labor
Because a partial roll of fencing cannot be purchased,
Gross profit $1,673 $833 $945 $105
17 rolls are needed.
E
Cost of 17 rolls of fencing $49 17 $833
Cost of installing fence $1 840 $840
M
Total cost $833 $840 $1,673
Your bid is the lowest bid and you are likely to get the
business.
44. 8832 8 1104 Each vendor supplied 1,104 boxes of 45. 348 12 29 You will need 29 boxes.
cards.
46. 21960 16300 5660 Visitors increased by 5,660. 47. 200000000 500000 199500000
The sales increase is $199,500,000.
2 Chapter 1 Copyright © 2018 Pearson Education, Inc.
