Questions and Answers
What is the Compound Interest Formula?
A=P(1+(r/n))^nt
What is the Exponential Growth/Decay model?
Y=a(1+r)^t (1-r) for decay
What is the Logarithm Formula?
Log base b of x = y, where b^y = x
If you have logb(mn), what is it equal to?
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If you have logb(m/n), what is it equal to?
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If you have logb(m^n), what is it equal to?
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Study Notes
Algebra 2 Chapter 7 Formulas
Compound Interest Formula
- A=P(1+(r/n))^nt, where A is the amount of money accumulated after n years, including interest, P is the principal amount, r is the annual interest rate, and n is the number of times that interest is compounded per year.
Exponential Growth and Decay Models
- Exponential growth model: Y=a(1+r)^t, where Y is the quantity after t time periods, a is the initial quantity, r is the growth rate, and t is the time period.
- Exponential decay model: Y=a(1-r)^t, where Y is the quantity after t time periods, a is the initial quantity, r is the decay rate, and t is the time period.
Logarithm Formula
- Log base b of x = y is equivalent to b^x = y, where b is the base of the logarithm, x is the argument, and y is the result.
Logarithm Properties
- Logb(mn) = logbm + logbn, where logb is the logarithm with base b, and m and n are the arguments.
- Logb(m/n) = logbm - logbn, where logb is the logarithm with base b, and m and n are the arguments.
- Logbm^n = nlogbm, where logb is the logarithm with base b, m is the argument, and n is the exponent.
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Description
Flashcards covering key formulas in Algebra 2 Chapter 7, including compound interest, exponential growth and decay, logarithms, and logarithmic properties.
