MATH 1250 Formulas/Tables I = Prt )rt PA + = 1 A = P

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