MATH 1250 Formulas/Tables A P 1 rt I = Prt r A P 1 n u nt n r 1 E 1 n k Rh 100 h u f k k 1 n n 1 Annual Interest = Principal Balance × interest rate Daily interest amount = Monthly interest amount = Daily interest amount × days in month P/E Ratio Yesterday's Closing Price Annual Earnings per share Annual Earnings per share Current Stock Yiel d Yesterday' s Closing Price P/E Ratio Annual Dividend per Share Closing Price of Stock A=P+I nt r 1 R 1 n A r n R r P n r 1 1 n nt Units of Length in the English System 12 inches (in.) = 1 foot (ft) 3 feet = 1 yard (yd) 36 inches = 1 yard 5,280 feet = 1 mile (mi) 1,760 yards = 1 mile Metric System 1 cm3 = 1 mL (*note: cm3 = cc) 3 3 1 dm = 1,000 cm = 1 L 1 m3 = 1,000 dm3 = 1 kL 1 L ≈ 1.06 quarts English Units 16 ounces (oz) = 1 pound (lb) 2,000 lb = 1 ton (T) Metric Units 1 kilogram (kg) = 1,000 grams (g) 1,000 kg = 1 metric ton (t) English/Metric Conversions 1 kg ≈ 2.2 lb 1 oz ≈ 28 g 9 F C 32 5 C English System 1 pint (pt) = 16 fluid ounces (oz) 1 quart (qt) = 2 pints (pt) 1 gallon (gal) = 4 quarts (qt) Metric System: kilo, hecto, deka, base unit, deci, centi, milli Volume vs. Capacity 1 cubic foot ≈ 7.48 gal 1 cubic yard ≈ 202 gal 1 gal. ≈ 231 in.3 1 ft3 freshwater ≈ 62.5 lb 1 ft3 seawater ≈ 64 lb 5 ( F 32) 9 n Pr n! (n r )! n Cr n! r!(n r )! P( E ) n( E ) n( S ) 𝑃(𝐸) 1 − 𝑃(𝐸) 𝑷(𝑩|𝑨) = 1 − 𝑃(𝐸) 𝑃(𝐸) 𝑷(𝑬) = 𝒂 𝒂+𝒃 1 − 𝑃(𝐸) = 𝑋̅ = ∑𝑋 𝑛 𝑋̅ = ∑ 𝑓𝑋𝑚 𝑛 𝑏 𝑎+𝑏 s P( E ) 𝑷(𝑨 𝒂𝒏𝒅 𝑩) 𝑷(𝑨) n( E ) n( S ) 2 (X X ) s 2 n 1 (X X ) 2 n 1 E = X1 • P(X1) + X2 • P(X2) + · · · + Xn • P(Xn) z value mean st. deviation P(A or B) = P(A) + P(B) r P(A or B) = P(A) + P(B) – P(A and B) P(A and B) = P(A) · P(B) P(A and B) = P(A) · P(B given that A has occurred) b a n xy x y n x 2 x 2 n y 2 y 2 n xy x y n x2 x y b x n 2 slope y intercept
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