DUE TODAY who can take my Contemporary Math Quiz?

The Number of Elements in BA∪

)()()()( BAnBnAnBAn ∩−+=∪

DeMorgan’s Laws for Sets

( ) /// BABA ∪=∩

( ) /// BABA ∩=∪ Basic Truth Tables

DeMorgan’s Laws and Other Equivalent Forms

( ) qpqp ~~~ ∨⇔∧

( ) qpqp ~~~ ∧⇔∨ qpqp ∨⇔→ ~

( ) qpqp ~~ ∧⇔→

( ) ( )[ ]pqqpqp →∧→⇔↔ Slope Formula

The slope m of a line through the points ( )11, yx and ( )22 , yx is

12

12

xx yy

x y

run risem

− −

= ∆ ∆

== , where 0≠∆x .

Quadratic Formula

The solutions of the quadratic equation 02 =++ cbxax , where 0≠a , is

a acbbx

2 42 −±−

=

Vertex of a Parabola

The vertex of the parabola cbxaxxf ++= 2)( is the ordered pair

( )  

  

   

  −−=

a bf

a bkh

2 ,

2 ,

Temperature Conversion

( )32 9 5

32 5 9

−=

+=

FC

CF

Percent Change

100×− old

oldnew

Simple Interest Formula

prti =

Compound Interest Formula

nt

n rpA   

   += 1

Present Value Formula

nt

n r

Ap   

   +

= 1

Installment Payment Formula

nt

n r

n rp

m −   

   +−

  

  

= 11

Actuarial Method

V VPnu

+ ⋅⋅

= 100

, where u is the unearned interest, n is

the number of remaining payments (excluding the current payment), P is the monthly payment, and V is the value from the APR table that corresponds to the APR for the number of remaining payments (excluding the current payment).

Ordinary Annuity Formula

n r n rp

A

nt

  



  

 −

 

   +

=

11

Sinking Fund Payment Formula

  



  

 −

 

   +

  

  

=

11 nt

n r

n rA

p (Round UP to the next cent)

Probability Facts

The probability of an event that cannot occur is 0. The probability of an event that must occur is 1. Every probability must be a number between 0 and 1 inclusively; that is, 1)(0 ≤≤ EP .

The sum of the probabilities of all possible outcomes of an event is 1. 1)()( / =+ APAP

Standard 52-card Deck

Odds

Standard Divisor and Standard Quota

Voting and Apportionment

Customary to Metric Units Length 1 inch (in.) = 2.54 centimeters (cm) 1 foot (ft) = 30 centimeters (cm) 1 yard (yd) = 0.9 meter (m) 1 mile (mi) = 1.6 kilometers (km)

Area 1 square inch (in.2) = 6.5 square centimeters (cm2) 1 square foot (ft2) = 0.09 square meter (m2) 1 square yard (yd2) = 0.8 square meter (m2) 1 square mile (mi2) = 2.6 square kilometers (km2) 1 acre = 0.4 hectare (ha)

Volume 1 teaspoon (tsp) = 5 milliliters (mℓ) 1 tablespoon (tbsp) = 15 milliliters (mℓ) 1 fluid ounce (fl oz) = 30 milliliters (mℓ) 1 cup (c) = 0.24 liter (ℓ) 1 pint (pt) = 0.47 liter (ℓ) 1 quart (qt) = 0.95 liter (ℓ) 1 gallon (gal) = 3.8 liters (ℓ) 1 cubic foot (ft3) = 0.03 cubic meter (m3) 1 cubic yard (yd3) = 0.76 cubic meter (m3)

Weight (Mass) 1 ounce (oz) = 28 grams (g) 1 pound (lb) = 0.45 kilogram (kg) 1 ton (T) = 0.9 tonne (t)

Customary Units 1 foot = 12 inches 1 yard = 3 feet 1 mile = 5280 feet 1 pound = 16 ounces 1 ton = 2000 pounds 1 cup (liquid) = 8 fluid ounces 1 pint = 2 cups 1 quart = 2 pints 1 gallon = 4 quarts 1 minute = 60 seconds 1 hour = 60 minutes 1 day = 24 hours 1 year = 365 days

Days in Each Month Day of Month

31 28 31 30 31 30 31 31 30 31 30 31

Jan. Feb. Mar. Apr. May June July Aug. Sept. Oct. Nov. Dec. Day 1 1 32 60 91 121 152 182 213 244 274 305 335

Day 2 2 33 61 92 122 153 183 214 245 275 306 336

Day 3 3 34 62 93 123 154 184 215 246 276 307 337

Day 4 4 35 63 94 124 155 185 216 247 277 308 338

Day 5 5 36 64 95 125 156 186 217 248 278 309 339

Day 6 6 37 65 96 126 157 187 218 249 279 310 340

Day 7 7 38 66 97 127 158 188 219 250 280 311 341

Day 8 8 39 67 98 128 159 189 220 251 281 312 342

Day 9 9 40 68 99 129 160 190 221 252 282 313 343

Day 10 10 41 69 100 130 161 191 222 253 283 314 344

Day 11 11 42 70 101 131 162 192 223 254 284 315 345

Day 12 12 43 71 102 132 163 193 224 255 285 316 346

Day 13 13 44 72 103 133 164 194 225 256 286 317 347

Day 14 14 45 73 104 134 165 195 226 257 287 318 348

Day 15 15 46 74 105 135 166 196 227 258 288 319 349

Day 16 16 47 75 106 136 167 197 228 259 289 320 350

Day 17 17 48 76 107 137 168 198 229 260 290 321 351

Day 18 18 49 77 108 138 169 199 230 261 291 322 352

Day 19 19 50 78 109 139 170 200 231 262 292 323 353

Day 20 20 51 79 110 140 171 201 232 263 293 324 354

Day 21 21 52 80 111 141 172 202 233 264 294 325 355

Day 22 22 53 81 112 142 173 203 234 265 295 326 356

Day 23 23 54 82 113 143 174 204 235 266 296 327 357

Day 24 24 55 83 114 144 175 205 236 267 297 328 358

Day 25 25 56 84 115 145 176 206 237 268 298 329 359

Day 26 26 57 85 116 146 177 207 238 269 299 330 360

Day 27 27 58 86 117 147 178 208 239 270 300 331 361

Day 28 28 59 87 118 148 179 209 240 271 301 332 362

Day 29 29 88 119 159 180 210 241 272 302 333 363

Day 30 30 89 120 150 181 211 242 273 303 334 364

Day 31 31 90 151 212 243 304 365

Add 1 day for leap year if February 29 falls between the two dates under consideration

Number of

payments

Annual Percentage Rate

4.0% 4.5% 5.0% 5.5% 6.0% 6.5% 7.0% 7.5% 8.0% 8.5% 9.0% 9.5% 10.0%

(Finance charger per $100 of amount financed)

6 1.17 1.32 1.46 1.61 1.76 1.90 2.05 2.20 2.35 2.49 2.64 2.79 2.93

12 2.18 2.45 2.73 3.00 3.28 3.56 3.83 4.11 4.39 4.66 4.94 5.22 5.50

18 3.20 3.60 4.00 4.41 4.82 5.22 5.63 6.04 6.45 6.86 7.28 7.69 8.10

24 4.22 4.75 5.29 5.83 6.37 6.91 7.45 8.00 8.54 9.09 9.64 10.19 10.75

30 5.25 5.92 6.59 7.26 7.94 8.61 9.30 9.98 10.66 11.35 12.04 12.74 13.43

36 6.29 7.09 7.90 8.71 9.52 10.34 11.16 11.98 12.81 13.64 14.48 15.32 16.16

48 8.38 9.46 10.54 11.63 12.73 13.83 14.94 16.06 17.18 18.31 19.45 20.59 21.74

60 10.50 11.86 13.23 14.61 16.00 17.40 18.81 20.23 21.66 23.10 24.55 26.01 27.48

Monthly Principal and Interest Payment (per $1000 of mortgage)

Rate % Number of Years

10 15 20 25 30

4.0 $10.12451 $7.39688 $6.05980 $5.27837 $4.77415

4.5 10.36384 7.64993 6.32649 5.55832 5.06685

5.0 10.60655 7.90794 6.59956 5.84590 5.36822

5.5 10.85263 8.17083 6.87887 6.14087 5.67789

6.0 11.10205 8.43857 7.16431 6.44301 5.99551

6.5 11.35480 8.71107 7.45573 6.75207 6.32068

7.0 11.61085 8.98828 7.75299 7.06779 6.65302

7.5 11.87018 9.27012 8.05593 7.38991 6.99215

8.0 12.13276 9.55652 8.36440 7.71816 7.33765

8.5 12.39857 9.84740 8.67823 8.05227 7.68913

9.0 12.66758 10.14267 8.99726 8.39196 8.04623

9.5 12.93976 10.44225 9.32131 8.73697 8.40854

10.0 13.21507 10.74605 9.65022 9.08701 8.77572

10.5 13.49350 11.05399 9.98380 9.44182 9.14739

11.0 13.77500 11.36597 10.32188 9.80113 9.52323

11.5 14.05954 11.68190 10.66430 10.16469 9.90291

12.0 14.34709 12.00168 11.01086 10.53224 10.28613