Chapter 1.7, Problem 45WE

To determine

To calculate:

Value of remaining variable $\left(t\right)$ .

Answer to Problem 45WE

Value of remaining variable $\left(t\right)$ is $1.5$ .

Explanation of Solution

Given information:

  $\begin{array}{l}A=P\left(1+rt\right)\\ A=168\\ P=150\\ r=0.08\end{array}$

Calculations:

Amount at simple interest is given as,

  $A=P\left(1+rt\right)$

Now substitute the $168$ for $A$ , and $150$ for and $0.08=r$ in above formula

  $168=150\left(1+0.08t\right)$

Clear the parentheses using the distributive property.

  $168=150+12t$

Now solve the variable $t$ , for that subtract $150$ from both the sides,

  $\begin{array}{l}168-150=150+12t-150\\ 18=12t\end{array}$

Divide both sides by $12$ solve for $t$ ,

  $\begin{array}{l}\frac{18}{12}=\frac{12t}{12}\\ 1.5=t\end{array}$

Use the symmetry property.

  $t=1.5$