#### Answer

$P=\dfrac{A}{1+rt}$

#### Work Step by Step

$\bf{\text{Solution Outline:}}$
To solve the given equation, $
A=P+Prt
$ for $
P
,$ use the properties of equality to isolate the variable.
$\bf{\text{Solution Details:}}$
Using the properties of equality to isolate the variable, the equation above is equivalent to
\begin{array}{l}\require{cancel}
A=P+Prt
\\\\
A=P(1+rt)
\\\\
\dfrac{A}{1+rt}=\dfrac{P(1+rt)}{1+rt}
\\\\
\dfrac{A}{1+rt}=P
\\\\
P=\dfrac{A}{1+rt}
.\end{array}