We have this expression:
[tex]A=p+\text{prt}[/tex]
We need to do the following steps to solve the equation for t:
[tex]A=p(1+rt)\Rightarrow\frac{A}{p}=1+rt\Rightarrow\frac{A}{p}-1=rt\Rightarrow\frac{\frac{A}{p}-1}{r}=t_{}[/tex]
Then, t is the same as:
[tex]t=\frac{\frac{A}{p}-1}{r}=\frac{\frac{A-p}{p}}{r}=\frac{A-p}{pr}[/tex]
Then, the answer is (A - p)/pr.
