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A=P(1+r/n)^nt solve r

User Lenaya
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1 Answer

3 votes

A=P\left(1+\frac rn\right)^(nt)

\frac AP=\left(1+\frac rn\right)^(nt)

\ln\frac AP=nt\ln\left(1+\frac rn\right)

(\ln\frac AP)/(nt)=\ln\left(1+\frac rn\right)

e^(\ln(A/P)/(nt))=1+\frac rn

e^(\ln(A/P)/(nt))-1=\frac rn

n\left(e^(\ln(A/P)/(nt))-1\right)=r
User Claytron
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