Q33. - Algebra 2

Question

Solve each equation or formula for the specified variables

33. $A=p+prt$ for p

Step-by-Step Solution

Answer

The value of p for equation $A=p+prt$ is $\frac{A}{\left(1+rt\right)}$.

Step 1 - Order for simplification

To evaluate any expression involving more than one operation, follow the below order of operations:

• The expression can be converted into algebraic expression by using the algebra, to find the value of unknown variable.
• Use the equality properties to solve equation.

Step 2 – Pick the common factor

To evaluate given expression, first collect the common factor that is p.

$\begin{array}{l}A=p+prt\\ A=p\left(1+rt\right)\end{array}$

Step 3 – Evaluate the value of p

To simplify further, divide the equation by $\left(1+rt\right)$.

$\begin{array}{c}\frac{A}{\left(1+rt\right)}=\frac{p\left(1+rt\right)}{\left(1+rt\right)}\\ \frac{A}{\left(1+rt\right)}=p\end{array}$