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Applied Math Formulas
Browse 2 reviewed applied math formulas with concrete inputs, outputs, calculations, applicability checks, and LaTeX.
Applied Math
Compound Interest Formula
A=P\left(1+\frac{r}{n}\right)^{nt}Calculates a balance with interest compounded a fixed number of times per year.
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Percentage Change Formula
\%\text{ change}=\frac{\text{new}-\text{old}}{|\text{old}|}\times100\%Measures relative increase or decrease from an original nonzero value.
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Applied Math
Continuous Compound Interest
A=Pe^{rt}Models continuously compounded growth of a principal amount.
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Exponential Population Growth
N(t)=N_0e^{rt}Models unrestricted growth or decay at a constant proportional rate.
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Logistic Growth Function
P(t)=\frac{K}{1+Ae^{-rt}}Models growth that begins nearly exponentially and then approaches a carrying capacity.
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