Formulas Flashcards
Bonds, APR, Simple Interest
A=P(1+(r)(t))
Interest
I=Prt
Compound Interest, Inflation in Salaries, things that grow over time
A=P(1+r/n)^nt
r=rate
n=compoundings per year
t=time in years
Monthly Car Payments
M=P(p)(1+p)^T/[(1+p)^T-1]
M=Monthly Payments
P=Initial
p=r/t, here were t=compounding rate, usually 12
T=time in the problem
Chaos Game
Old X+New X/2
Old Y+New Y/2
Fractal Dimensions
ln n/ln s
n=self-similar copies
s=scaling factor, how much they are dividing by
Menger Sponge
2.727
Sierpinski carpet
1.893
Fractal pyramid
2.322
Binet’s Formula
The answer if F of N, where N in the power being raised
Golden rectangle and Phi
Golden rectangle is L/S
Phi= 1.61
So, substitute Phi for missing shorter side
Similar Triangles
Longside of Triangle 1/Shortside of Triangle 1 = Longside of Triangle 2/Shortside of Triangle 2
Continuous conpounding
A=Pe^rt
APY FORMULA
t=ln 2/ln (1+r)
Other APY
A=P(1+r)^t
Koch snowflake and area
Area is always squared
T is total, that is multiplied
Q is added
Kock anti snowflake
Q=subtraction
Triangle
Q=subtract
Standardized percentages
1 deviation=68%
2=95%
3=99.7%
Third quartile
Mu + (.675)sigma
First quartile
Mu - (.675)sigma
Convert decimal to fraction
- put decimal number over ten raised to the of times you must move decimal to get whole number
Ex. .4 = 4/10, raised to the first power because you moved it once.
Odds
If fraction: a/b
“A to b-a”
Jeffersonian method
Go lower than st. Div. and round down
Or go higher and round appropriately. Idk
Hamilton
Award more seats to whoever has more residue
Webster
Round as needed.
Redundancy
Edge - (vertices - 1)
Largest degree of separation
Normally the # of edges coming out of start. Usually two.
Outliner
Read the damn problem. IQR=q1-q2
68-95-99.7 rule and estimates
- Deviation = (x-mu)/sigma
- Take standard deviation and find percent
- Divide by two for symmetry.
- Subtract from 100
- Change into decimal, multiply by # of patients.
Estimations between two give numbers
- Find standard deviation
- Find value, subtract from 100
- Divide by two
- Multiply by # of patients.
- Do the same from the otherside (which you should have done already ) that is # of patient