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8 Cards in this Set
- Front
- Back
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Compound interest (continuous)
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A=Pe^rt
A=end amount P=starting amount e=2.71 r=rate t=time (in years) |
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Compound interest (finite)
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A=P(1+r/n)^nt
A=end amount P=start amount e=2.71 r=rate t=time (in years) n=number of times calculated (per year) |
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Exponential functions
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f(x)=a^x (exponent unknown)
If a>=1, the curve rises to the right If a>=0, but less than 1, then the graph rises to the left. NOTE: All exponential functions have a point at (0,1). |
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Natural base e
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e=2.71
natural log (ln) multiplied by e =1 To find a missing exponent, multiply both sides by the natural log (ln). ln times e=1 |
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Logarithm
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Inverse of exponential equation.
Used to find the missing exponent. |
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Exponential equations
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Base must be the same to solve.
Example: 7^x-1 = 49 7^x-1 = 7^2 x-1 = 2 solve |
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Exponential growth and decay uses the same equations as compound interest.
T/F? |
True
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Common log
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When the base of a log is not specified, it is assumed to be 10.
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