Respuesta :

Given the following formula given in the exercise:

[tex]M=W\mleft(1+rt\mright)[/tex]

You can solve for the variable "t" by following the steps shown below:

1. You must apply the Disrtributive proprerty on the right side of the equation:

[tex]\begin{gathered} M=(W)\mleft(1)+(W)(rt\mright) \\ M=W+Wrt \end{gathered}[/tex]

2. Now you need to apply the Subtraction property of equality by subtracting "W" from both sides of the equation:

[tex]\begin{gathered} M-(W)=W+rtW-(W) \\ M-W=Wrt \end{gathered}[/tex]

3. Finally, you can apply the Division property of equality by dividing both sides of the equation by "Wr":

[tex]\begin{gathered} \frac{M-W}{Wr}=\frac{Wrt}{Wr} \\ \\ t=\frac{M-W}{Wr} \end{gathered}[/tex]

The answer is:

[tex]t=\frac{M-W}{Wr}[/tex]