exponential applications ( basically finance!)

compound interest formula ( compound annually)

exponital growth

A = P(1 + r)^t

exponential restrictions

if you have y = Ab^x,

A cant equal 0 ,

B>0, B cant equal 1

basic formula where you decrease by r

exponital decay

A = P(1-r)^t

decreasing by r percent

compound interest ( other than annual)

A=P(1+r/n)^tn - where n is number of periods compounded per year

Doubling Time formula ( time it takes of og amount to double )

A=P(2)^t/doubling time

each doubling time is diff

Half life formula

A = P(1/2)^t/ half life time

exponential function using base e

Base e logs - are natural logs - but you can just treat them as a regular number I think? just plug e^1 into ur calculator

expontinal constant eq ( like if you wanted tripling time, or tenfold time, or one quarter time)

A=P(C)^t/n

where C is that constant ( ex times 10, or 3 or 1/4)

and N is period it takes for that time to happen

more general version of doubling/half-life eq

How many times as great?

divide to find how many times as great one quanity is of another

Richter Scale yippie

each difference of 1 mag - represents a 10 fold of intensity

The Decibel scale

every increase of +10db , represents an increase of 10 times

so for ex something 20db greater actually represents 10²