# How do you solve for P in A= P+Prt?

Mar 23, 2016

$P = \frac{A}{1 + r t}$

#### Explanation:

Given
$\textcolor{w h i t e}{\text{XXX}} A = P + P r t$

Applying the distributive principle:
$\textcolor{w h i t e}{\text{XXX}} A = P \left(1 + r t\right)$

Dividing both sides by $\left(1 + r t\right)$:
$\textcolor{w h i t e}{\text{XXX}} \frac{A}{1 + r t} = P$