Answer:
[tex]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}[/tex]
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