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Algebra II Ch 7

Powering- x^n "n" is the exponent of "x"= the base. Base Definition-- Let n be an integer greater than 1. Then b is an nth root of x if and only if b^n=x.1/n Exponent Theorem- when x => o and n is an integer greater than 1, x^1/n is an nth root of x.
Cubing Function- x^3. Power of a Product postulute- for any nonnegative bases and nonsero real exponnts, or any nonzero bases and integer exponents, (ab)^m=a^m b^m Yield/Effective Annual Yield- the rate of interest earned after all the compunding have taken place in one year.
Zero Exponent Theorem: if b is a nonzero realnumber, b^0=1.
Negative Exponent Thoerem- for any positive base b and real exponent n, or any nonzero base b and integer n, n^-n=1/b^n
Annual Compound Interest Formula- let P be the amount of money invested at an annual intest rate of r compunded annually. Let A be the total amount after t years Then: A=P(1+r)^t.
General Compund Interest Formula- let P be the amount invested at an annual interest rate r compunded n times per year. Let A be the amount after t years. Then: A=P(1+r/n)^nt
Constant Ratio- in a geometric sequence, the ratio of two consecuative terms.
Created by: adamscott101