2nd Hour Pre-Calculus B (Spring 2012)

Tuesday, April 24, 2012

Properties of Exponents

$a^{x}\times a^{y}= a^{x+y}$

$\frac{a^{x}}{a^{y}}= a^{x-y}$

$\left ( a^{x} \right )^{y}= a^{xy}$

$a^{-x}= \frac{1}{a^{x}}$

$a^{0}= 1$

Exponential Functions

$y= a\cdot b^{x-c}+d$

Exponential Growth (b > 1)

Exponential Decay (0 < b < 1)

a : vertical stretch (changes y-int)

b : growth rate

c : horizontal shift

d : vertical shift

Compound Interest

$A= P\left ( 1+\frac{r}{n} \right )^{nt}$

A : present value

P : principal value

r : annual interest rate (APR)

n : number of compounding periods per year (1 month = 1/12 year)

t : time

Tuesday, April 24, 2012