$A = P(1 + rt) \\by \: cross \: multiplication \: \\ P = \frac{A }{(1 + rt)} \\ by \: distributing \: P \\ A = P + Prt \\ A - P = Prt \\ r = \frac{A - P}{Pt} \\ it \: follows \: that \: \\ t = \frac{A - P}{Pr}$

suppose that r = 50%=0.5,

t =10 years and P= 100, find A?

A=100(1+(0.5)(10))=600

suppose t =10 yrs, r=50%, A=600, find P?

P=600/((1+(0.5)(10))=100

suppose t =10 yrs, r=50%, A=600, P= 100 find r?

r= (600-100)/100(10)=500/1000=0.5=50%

suppose r=50%, A=600, P= 100 find t?

t= (600-100)/100(0.5)=500/50=10 yrs

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