Step 1:
Write the interest formula
[tex]\begin{gathered} \text{I = Prt} \\ I\text{ = \$72} \\ r\text{ = 6\% = }\frac{6}{100}\text{ = 0.06} \\ t\text{ = 6 months = }\frac{6}{12}\text{ = 0.5} \end{gathered}[/tex]Step 2:
Substitute in the formula to find P
[tex]\begin{gathered} 72\text{ = P }\times\text{ 0.06 }\times\text{ 0.5} \\ 72\text{ = 0.03P} \\ P\text{ = }\frac{72}{0.03} \\ \text{P = \$2400} \end{gathered}[/tex]Final answer
P = $2400
