business math handbook - fullcoll.edu
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Business�Math�Handbookto�accompany
Practical�Business�Math�Procedures
Thirteenth�Edition
Jeffrey�SlaterNorth Shore Community College
Danvers,�Massachusetts
Sharon�M.�WittryPikes Peak Community CollegeColorado�Springs,�Colorado
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Business�Math�Handbook�to�accompanyPRACTICAL�BUSINESS�MATH�PROCEDURES,�THIRTEENTH�EDITIONJeffrey�Slater�and�Sharon�M.�Wittry
Published�by�McGraw-Hill�Education,�2�Penn�Plaza,�New�York,�NY�10121.�Copyright�©�2020�by��McGraw-Hill�Education.�All�rights��reserved.�Printed�in�the�United�States�of�America.�Previous�editions�©�2017,�2014,�and�2011.
No�part�of�this�publication�may�be�reproduced�or�distributed�in�any�form�or�by�any�means,�or�stored�in�a�database�or�retrieval�system,�without�the�prior�written�consent�of�McGraw-Hill�Education,��including,�but�not�limited�to,��in�any�network�or�other�electronic�storage�or�transmission,�or�broadcast�for�distance�learning.
1�2�3�4�5�6�7�8�9�LON�21�20�19
ISBN��978-1-260-69230-3MHID�1-260-69230-2
mheducation.com/highered
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Currencies 8/4/17
U.S.-dollar foreign-exchange rates in late New York tradingU.S.-dollar foreign-exchange rates in late New York trading
Country/currency
AmericasArgentina peso .0566 17.6598 11.3
Thailand baht .03007 33.260 –7.1Vietnam dong .00004399 22733 –0.2
Czech Rep. koruna .04557 21.946 –14.6Denmark krone .1596 6.2670 –11.3Euro area euro 1.1870 .8425 –11.4Hungary forint .003907 255.97 –13.0Iceland krona .009588 104.30 –7.7Norway krone .1265 7.9057 –8.5Poland zloty .2798 3.5734 –14.7Russia ruble .01658 60.331 –1.5Sweden krona .1234 8.1020 –11.0Switzerland franc 1.0325 .9685 –4.9Turkey lira .2825 3.5396 0.5Ukraine hryvnia .0386 25.8850 –4.4
1.3138 .7612 –6.0UK pound
Bahrain dinarMiddle East/Africa
2.6526 .3770 –0.05Egypt pound .0563 17.7765 –2.0Israel shekel .2778 3.5991 –6.5Kuwait dinar 3.3109 .3020 –1.2Oman sul rial 2.5935 .3856 0.2Qatar rial .2748 3.639 –0.03Saudi Arabia riyal .2667 3.7502 –0.01South Africa rand .0746
NetChgClose
13.4040 –2.1
WSJ Dollar Index 85.86 –0.06–0.07 –7.61
Europe.3210 3.1151 –4.3.7945 1.2587 –6.4
.001541 648.80 –3.1.0003382 2957.00 –1.5
1 1 unch.0560 17.8414 –14.0.3089 3.237 –3.5
.03526 28.3600 –3.4.099061 10.0948 1.0
.7950 1.2579 –9.4
.1489 6.7164 –3.3
.1279 7.8174 0.8.01569 63.718 –6.2
.0000750 13326 –1.5.009087 110.05 –5.9.002982 335.40 0.5
.1244 8.0395 1.6
.2336 4.2800 –4.6
.7436 1.3448 –6.9.00949 105.330 0.9
.0199 50.324 1.4
.7358 1.3591 –6.1.0008858 1128.95 –6.5.0065244 153.27 3.3
.03309
Sources: Tullett Prebon, WSJ Market Data Group
30.221 –6.9
Brazil realCanada dollarChile pesoColombia pesoEcuador US dollarMexico pesoPeru new solUruguay pesoVenezuela b. fuerte
Australian dollarChina yuanHong Kong dollarIndia rupeeIndonesia rupiahJapan yenKazakhstan tengeMacau patacaMalaysia ringgitNew Zealand dollarPakistan rupeePhilippines pesoSingapore dollarSouth Korea wonSri Lanka rupeeTaiwan dollar
Asia-Pacific
ThursIn US$ per US$
US$ vs.YTD chg
(%) Country/currencyThurs
In US$ per US$
US$ vs.YTD chg
(%)
%Chg YTD% Chg
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One Withholding Payroll Period Allowance
Weekly. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . $ 79.80Biweekly . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 159.60Semimonthly. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 172.90Monthly . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 345.80Quarterly . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1,037.50Semiannually . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2,075.00Annually. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4,150.00Daily or miscellaneous (each day of the payroll period) . . . . . . 16.00
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(a) SINGLE person (including head of household)—
If the amount of wages (after subtracting The amount of income tax withholding allowances) is: to withhold is:
Not over $142 . . . . . . . . . . . . . . . . . $0
Over— But not over— of excess over— $142 —$509 . . . . $0.00 plus 10% —$142 $509 —$1,631 . . . . $36.70 plus 12% —$509 $1,631 —$3,315 . . . . $171.34 plus 22% —$1,631 $3,315 —$6,200 . . . . $541.82 plus 24% —$3,315 $6,200 —$7,835 . . . . $1,234.22 plus 32% —$6,200 $7,835 —$19,373 . . . . $1,757.42 plus 35% —$7,835 $19,373 . . . . . . . . . . . . . . . . . . . . $5,795.72 plus 37% —$19,373
(b) MARRIED person—
If the amount of wages (after subtracting The amount of income tax withholding allowances) is: to withhold is:
Not over $444 . . . . . . . . . . . . . . . . . $0
Over— But not over— of excess over— $444 —$1,177 . . . . $0.00 plus 10% —$444 $1,177 —$3,421 . . . . $73.30 plus 12% —$1,177 $3,421 —$6,790 . . . . $342.58 plus 22% —$3,421 $6,790 —$12,560 . . . . $1,083.76 plus 24% —$6,790 $12,560 —$15,829 . . . . $2,468.56 plus 32% —$12,560 $15,829 —$23,521 . . . . $3,514.64 plus 35% —$15,829 $23,521 . . . . . . . . . . . . . . . . . . . . $6,206.84 plus 37% —$23,521
TABLE 2—BIWEEKLY Payroll Period
(a) SINGLE person (including head of household)—
If the amount of wages (after subtracting The amount of income tax withholding allowances) is: to withhold is:
Not over $154 . . . . . . . . . . . . . . . . . $0
Over— But not over— of excess over— $154 —$551 . . . . $0.00 plus 10% —$154 $551 —$1,767 . . . . $39.70 plus 12% —$551 $1,767 —$3,592 . . . . $185.62 plus 22% —$1,767 $3,592 —$6,717 . . . . $587.12 plus 24% —$3,592 $6,717 —$8,488 . . . . $1,337.12 plus 32% —$6,717 $8,488 —$20,988 . . . . $1,903.84 plus 35% —$8,488 $20,988 . . . . . . . . . . . . . . . . . . . . $6,278.84 plus 37% —$20,988
(b) MARRIED person—
If the amount of wages (after subtracting The amount of income tax withholding allowances) is: to withhold is:
Not over $481 . . . . . . . . . . . . . . . . . $0
Over— But not over— of excess over— $481 —$1,275 . . . . $0.00 plus 10% —$481 $1,275 —$3,706 . . . . $79.40 plus 12% —$1,275 $3,706 —$7,356 . . . . $371.12 plus 22% —$3,706 $7,356 —$13,606 . . . $1,174.12 plus 24% —$7,356 $13,606 —$17,148 . . . . $2,674.12 plus 32% —$13,606 $17,148 —$25,481 . . . . $3,807.56 plus 35% —$17,148 $25,481 . . . . . . . . . . . . . . . . . . . . $6,724.11 plus 37% —$25,481
TABLE 3—SEMIMONTHLY Payroll Period
(a) SINGLE person (including head of household)—
If the amount of wages (after subtracting The amount of income tax withholding allowances) is: to withhold is:
Not over $308 . . . . . . . . . . . . . . . . . $0
Over— But not over— of excess over— $308 —$1,102 . . . . $0.00 plus 10% —$308 $1,102 —$3,533 . . . . $79.40 plus 12% —$1,102 $3,533 —$7,183 . . . . $371.12 plus 22% —$3,533 $7,183 —$13,433 . . . . $1,174.12 plus 24% —$7,183 $13,433 —$16,975 . . . . $2,674.12 plus 32% —$13,433 $16,975 —$41,975 . . . . $3,807.56 plus 35% —$16,975 $41,975 . . . . . . . . . . . . . . . . . . . . $12,557.56 plus 37% —$41,975
(b) MARRIED person—
If the amount of wages (after subtracting The amount of income tax withholding allowances) is: to withhold is:
Not over $963 . . . . . . . . . . . . . . . . . $0
Over— But not over— of excess over— $963 —$2,550 . . . . $0.00 plus 10% —$963 $2,550 —$7,413 . . . . $158.70 plus 12% —$2,550 $7,413 —$14,713 . . . . $742.26 plus 22% —$7,413 $14,713 —$27,213 . . . . $2,348.26 plus 24% —$14,713 $27,213 —$34,296 . . . . $5,348.26 plus 32% —$27,213 $34,296 —$50,963 . . . . $7,614.82 plus 35% —$34,296 $50,963 . . . . . . . . . . . . . . . . . . . . $13,448.27 plus 37% —$50,963
TABLE 4—MONTHLY Payroll Period
Percentage Method Tables for Income Tax Withholding(For Wages Paid in 2018)
(a) SINGLE person (including head of household)—
If the amount of wages (after subtracting The amount of income tax withholding allowances) is: to withhold is:
Not over $71 . . . . . . . . . . . . . . . . . . $0
Over— But not over— of excess over— $71 —$254 . . . . $0.00 plus 10% —$71 $254 —$815 . . . . $18.30 plus 12% —$254 $815 —$1,658 . . . . $85.62 plus 22% —$815 $1,658 —$3,100 . . . . $271.08 plus 24% —$1,658 $3,100 —$3,917 . . . . $617.16 plus 32% —$3,100 $3,917 —$9,687 . . . . $878.60 plus 35% —$3,917 $9,687 . . . . . . . . . . . . . . . . . . . . $2,898.10 plus 37% —$9,687
(b) MARRIED person—
If the amount of wages (after subtracting The amount of income tax withholding allowances) is: to withhold is:
Not over $222 . . . . . . . . . . . . . . . . . $0
Over— But not over— of excess over— $222 —$588 . . . . $0.00 plus 10% —$222 $588 —$1,711 . . . . $36.60 plus 12% —$588 $1,711 —$3,395 . . . . $171.36 plus 22% —$1,711 $3,395 —$6,280 . . . . $541.84 plus 24% —$3,395 $6,280 —$7,914 . . . . $1,234.24 plus 32% —$6,280 $7,914 —$11,761 . . . . $1,757.12 plus 35% —$7,914 $11,761 . . . . . . . . . . . . . . . . . . . . $3,103.57 plus 37% —$11,761
TABLE 1—WEEKLY Payroll Period
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Wage Bracket Method Tables for Income Tax WithholdingSINGLE Persons—WEEKLY Payroll�Period
(For�Wages�Paid�through�December�31,�2018)And�the�wages�are– And�the�number�of�withholding�allowances�claimed�is—
At�least But�less�than
0 1 2 3 4 5 6 7 8 9 10
The�amount�of�income�tax�to�be�withheld�is—
$ 0 $75 $0 $0 $0 $0 $0 $0 $0 $0 $0 $0 $075 80 1 0 0 0 0 0 0 0 0 0 080 85 1 0 0 0 0 0 0 0 0 0 085 90 2 0 0 0 0 0 0 0 0 0 090 95 2 0 0 0 0 0 0 0 0 0 0
95 100 3 0 0 0 0 0 0 0 0 0 0100 105 3 0 0 0 0 0 0 0 0 0 0105 110 4 0 0 0 0 0 0 0 0 0 0110 115 4 0 0 0 0 0 0 0 0 0 0115 120 5 0 0 0 0 0 0 0 0 0 0
120 125 5 0 0 0 0 0 0 0 0 0 0125 130 6 0 0 0 0 0 0 0 0 0 0130 135 6 0 0 0 0 0 0 0 0 0 0135 140 7 0 0 0 0 0 0 0 0 0 0140 145 7 0 0 0 0 0 0 0 0 0 0
145 150 8 0 0 0 0 0 0 0 0 0 0150 155 8 0 0 0 0 0 0 0 0 0 0155 160 9 1 0 0 0 0 0 0 0 0 0160 165 9 1 0 0 0 0 0 0 0 0 0165 170 10 2 0 0 0 0 0 0 0 0 0
170 175 10 2 0 0 0 0 0 0 0 0 0175 180 11 3 0 0 0 0 0 0 0 0 0180 185 11 3 0 0 0 0 0 0 0 0 0185 190 12 4 0 0 0 0 0 0 0 0 0190 195 12 4 0 0 0 0 0 0 0 0 0
195 200 13 5 0 0 0 0 0 0 0 0 0200 210 13 5 0 0 0 0 0 0 0 0 0210 220 14 6 0 0 0 0 0 0 0 0 0220 230 15 7 0 0 0 0 0 0 0 0 0230 240 16 8 0 0 0 0 0 0 0 0 0
240 250 17 9 1 0 0 0 0 0 0 0 0250 260 18 10 2 0 0 0 0 0 0 0 0260 270 20 11 3 0 0 0 0 0 0 0 0270 280 21 12 4 0 0 0 0 0 0 0 0280 290 22 13 5 0 0 0 0 0 0 0 0
290 300 23 14 6 0 0 0 0 0 0 0 0300 310 24 15 7 0 0 0 0 0 0 0 0310 320 26 16 8 0 0 0 0 0 0 0 0320 330 27 17 9 1 0 0 0 0 0 0 0330 340 28 18 10 2 0 0 0 0 0 0 0
340 350 29 20 11 3 0 0 0 0 0 0 0350 360 30 21 12 4 0 0 0 0 0 0 0360 370 32 22 13 5 0 0 0 0 0 0 0370 380 33 23 14 6 0 0 0 0 0 0 0380 390 34 24 15 7 0 0 0 0 0 0 0
390 400 35 26 16 8 0 0 0 0 0 0 0400 410 36 27 17 9 1 0 0 0 0 0 0410 420 38 28 18 10 2 0 0 0 0 0 0420 430 39 29 20 11 3 0 0 0 0 0 0430 440 40 30 21 12 4 0 0 0 0 0 0
440 450 41 32 22 13 5 0 0 0 0 0 0450 460 42 33 23 14 6 0 0 0 0 0 0460 470 44 34 24 15 7 0 0 0 0 0 0470 480 45 35 26 16 8 0 0 0 0 0 0480 490 46 36 27 17 9 1 0 0 0 0 0
490 500 47 38 28 18 10 2 0 0 0 0 0500 510 48 39 29 20 11 3 0 0 0 0 0510 520 50 40 30 21 12 4 0 0 0 0 0520 530 51 41 32 22 13 5 0 0 0 0 0530 540 52 42 33 23 14 6 0 0 0 0 0
540 550 53 44 34 24 15 7 0 0 0 0 0550 560 54 45 35 26 16 8 1 0 0 0 0560 570 56 46 36 27 17 9 2 0 0 0 0570 580 57 47 38 28 18 10 3 0 0 0 0580 590 58 48 39 29 20 11 4 0 0 0 0
590 600 59 50 40 30 21 12 5 0 0 0 0600 610 60 51 41 32 22 13 6 0 0 0 0610 620 62 52 42 33 23 14 7 0 0 0 0620 630 63 53 44 34 24 15 8 0 0 0 0630 640 64 54 45 35 26 16 9 1 0 0 0
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Wage Bracket Method Tables for Income Tax WithholdingMARRIED Persons—WEEKLY Payroll�Period
(For�Wages�Paid�through�December�31,�2018)And�the�wages�are– And�the�number�of�withholding�allowances�claimed�is—
At�least But�less�than
0 1 2 3 4 5 6 7 8 9 10The�amount�of�income�tax�to�be�withheld�is—
$ 0 $225 $0 $0 $0 $0 $0 $0 $0 $0 $0 $0 $0225 235 1 0 0 0 0 0 0 0 0 0 0235 245 2 0 0 0 0 0 0 0 0 0 0245 255 3 0 0 0 0 0 0 0 0 0 0255 265 4 0 0 0 0 0 0 0 0 0 0
265 275 5 0 0 0 0 0 0 0 0 0 0275 285 6 0 0 0 0 0 0 0 0 0 0285 295 7 0 0 0 0 0 0 0 0 0 0295 305 8 0 0 0 0 0 0 0 0 0 0305 315 9 1 0 0 0 0 0 0 0 0 0
315 325 10 2 0 0 0 0 0 0 0 0 0325 335 11 3 0 0 0 0 0 0 0 0 0335 345 12 4 0 0 0 0 0 0 0 0 0345 355 13 5 0 0 0 0 0 0 0 0 0355 365 14 6 0 0 0 0 0 0 0 0 0
365 375 15 7 0 0 0 0 0 0 0 0 0375 385 16 8 0 0 0 0 0 0 0 0 0385 395 17 9 1 0 0 0 0 0 0 0 0395 405 18 10 2 0 0 0 0 0 0 0 0405 415 19 11 3 0 0 0 0 0 0 0 0
415 425 20 12 4 0 0 0 0 0 0 0 0425 435 21 13 5 0 0 0 0 0 0 0 0435 445 22 14 6 0 0 0 0 0 0 0 0445 455 23 15 7 0 0 0 0 0 0 0 0455 465 24 16 8 0 0 0 0 0 0 0 0
465 475 25 17 9 1 0 0 0 0 0 0 0475 485 26 18 10 2 0 0 0 0 0 0 0485 495 27 19 11 3 0 0 0 0 0 0 0495 505 28 20 12 4 0 0 0 0 0 0 0505 515 29 21 13 5 0 0 0 0 0 0 0
515 525 30 22 14 6 0 0 0 0 0 0 0525 535 31 23 15 7 0 0 0 0 0 0 0535 545 32 24 16 8 0 0 0 0 0 0 0545 555 33 25 17 9 1 0 0 0 0 0 0555 565 34 26 18 10 2 0 0 0 0 0 0
565 575 35 27 19 11 3 0 0 0 0 0 0575 585 36 28 20 12 4 0 0 0 0 0 0585 595 37 29 21 13 5 0 0 0 0 0 0595 605 38 30 22 14 6 0 0 0 0 0 0605 615 39 31 23 15 7 0 0 0 0 0 0
615 625 40 32 24 16 8 0 0 0 0 0 0625 635 42 33 25 17 9 1 0 0 0 0 0635 645 43 34 26 18 10 2 0 0 0 0 0645 655 44 35 27 19 11 3 0 0 0 0 0655 665 45 36 28 20 12 4 0 0 0 0 0
665 675 46 37 29 21 13 5 0 0 0 0 0675 685 48 38 30 22 14 6 0 0 0 0 0685 695 49 39 31 23 15 7 0 0 0 0 0695 705 50 40 32 24 16 8 0 0 0 0 0705 715 51 42 33 25 17 9 1 0 0 0 0
715 725 52 43 34 26 18 10 2 0 0 0 0725 735 54 44 35 27 19 11 3 0 0 0 0735 745 55 45 36 28 20 12 4 0 0 0 0745 755 56 46 37 29 21 13 5 0 0 0 0755 765 57 48 38 30 22 14 6 0 0 0 0
765 775 58 49 39 31 23 15 7 0 0 0 0775 785 60 50 40 32 24 16 8 0 0 0 0785 795 61 51 42 33 25 17 9 1 0 0 0795 805 62 52 43 34 26 18 10 2 0 0 0805 815 63 54 44 35 27 19 11 3 0 0 0
815 825 64 55 45 36 28 20 12 4 0 0 0825 835 66 56 46 37 29 21 13 5 0 0 0835 845 67 57 48 38 30 22 14 6 0 0 0845 855 68 58 49 39 31 23 15 7 0 0 0855 865 69 60 50 40 32 24 16 8 0 0 0
865 875 70 61 51 42 33 25 17 9 1 0 0875 885 72 62 52 43 34 26 18 10 2 0 0885 895 73 63 54 44 35 27 19 11 3 0 0895 905 74 64 55 45 36 28 20 12 4 0 0905 915 75 66 56 46 37 29 21 13 5 0 0
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AMORTIZATION CHART (MORTGAGE PRINCIPAL AND INTEREST PER THOUSAND DOLLARS)
Term Interest in years 31
2% 5% 512% 61
2% 7% 712% 8% 81
2% 9% 912% 10% 101
2% 11% 1112%
10 9.89 10.61 10.86 11.36 11.62 11.88 12.14 12.40 12.67 12.94 13.22 13.50 13.78 14.06 12 8.52 9.25 9.51 10.02 10.29 10.56 10.83 11.11 11.39 11.67 11.96 12.25 12.54 12.84 15 7.15 7.91 8.18 8.72 8.99 9.28 9.56 9.85 10.15 10.45 10.75 11.06 11.37 11.69 17 6.52 7.29 7.56 8.12 8.40 8.69 8.99 9.29 9.59 9.90 10.22 10.54 10.86 11.19 20 5.80 6.60 6.88 7.46 7.76 8.06 8.37 8.68 9.00 9.33 9.66 9.99 10.33 10.67 22 5.44 6.20 6.51 7.13 7.44 7.75 8.07 8.39 8.72 9.05 9.39 9.73 10.08 10.43 25 5.01 5.85 6.15 6.76 7.07 7.39 7.72 8.06 8.40 8.74 9.09 9.45 9.81 10.17 30 4.50 5.37 5.68 6.33 6.66 7.00 7.34 7.69 8.05 8.41 8.78 9.15 9.53 9.91 35 3.99 5.05 5.38 6.05 6.39 6.75 7.11 7.47 7.84 8.22 8.60 8.99 9.37 9.77
Term Interest in years 113
4% 12% 1212% 123
4% 13% 1312% 133
4% 14% 1412% 143
4% 15% 1512%
10 14.21 14.35 14.64 14.79 14.94 15.23 15.38 15.53 15.83 15.99 16.14 16.45 12 12.99 13.14 13.44 13.60 13.75 14.06 14.22 14.38 14.69 14.85 15.01 15.34 15 11.85 12.01 12.33 12.49 12.66 12.99 13.15 13.32 13.66 13.83 14.00 14.34 17 11.35 11.52 11.85 12.02 12.19 12.53 12.71 12.88 13.23 13.41 13.58 13.94 20 10.84 11.02 11.37 11.54 11.72 12.08 12.26 12.44 12.80 12.99 13.17 13.54 22 10.61 10.78 11.14 11.33 11.51 11.87 12.06 12.24 12.62 12.81 12.99 13.37 25 10.35 10.54 10.91 11.10 11.28 11.66 11.85 12.04 12.43 12.62 12.81 13.20 30 10.10 10.29 10.68 10.87 11.07 11.46 11.66 11.85 12.25 12.45 12.65 13.05 35 9.96 10.16 10.56 10.76 10.96 11.36 11.56 11.76 12.17 12.37 12.57 12.98
Final PDF to printer
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Final PDF to printer