Answer
$t=\frac{A-P}{Pr}$
Work Step by Step
We are given that $A=P(1+rt)$. We can use the distributive property to multiply out the terms on the right side.
$A=P(1+rt)=P+Prt$
Subtract P from both sides.
$A-P=Prt$
Divide both sides by Pr.
$t=\frac{A-P}{Pr}$