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