How do you solve $A = P + P r t$ for $t$ ?

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Solution

Simplify the given expression.
Subtract $P$ on both sides of the equation.
Divide the equation by $P r$ .
$\begin{array}{rcl} A - P & = & P - P + P r t \\ \Rightarrow & A - P = P r t \\ \Rightarrow & \frac{A - P}{P r} = t \\ \Rightarrow & t = \frac{A - P}{P r} \end{array}$
Therefore, the obtained result is $\begin{array}{rcl} t & = & \frac{A - P}{P r} \end{array}$ .

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