# College Algebra Final formulas

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Distance

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Midpoint Formula

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Slope

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Slope Intercept

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Stnd Form of a Circle

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General Form of a Circle

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Vertex Formula

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Testing Symmetry

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Difference Quotient

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Compound Interest Formula

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Compound Interest Formula solved for P

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Continuously Compound Interest Formula

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Af=Ai(2)-t/h Where Af is Amount Final(at present) is equal to Amount Initial times two raised to the negative of the amount of time passed divided by the Halflife.
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Malthusian Population Growth

P = Pµeⁿ° Where P is current population, Pµ is initial population, e is raised to the ()number in years times the °growth rate (birth rate – death rate)
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Logarithmic Relationships

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Pascals Triangle

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Permutations Formula

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Combinations Formula

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nCr = n!/r!(n-r)!

Combinations Formula
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P(n,r) = n!/(n-r)!

Permutations Formula
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Log Power Rule

logαMⁿ =nlogαM
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Log Change of Base Formula

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Binomial Expansion

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Factorial Notation

n! = n × (n – 1) × (n – 2) × (n – 3) × … × 3 × 2 × 1
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Binomial Expansion By Pascals Triangle

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Definition of Term in Binomial Expansion

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Summation Notation

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Point Slope Form