Question

4Use algebra to solve the following equation. Round decimal to two places.400 (1.065)t = 850

Answer 1

We need to solve the equation

`400(1.065)t=850`

In order to do so, we can first divide both sides of the equation by 400:

`\begin{gathered} (400)/(400)(1.065)t=(850)/(400) \\ \\ (1.065)t=2.125 \end{gathered}`

Now, to isolate the variable t on the left side and find its value, we can divide both sides by 1.065:

`\begin{gathered} (\mleft(1.065\mright))/(1.065)t=(2.125)/(1.065) \\ \\ t=1.9953\ldots \\ \\ t\cong2.00 \end{gathered}`

Therefore, rounding to two decimal places, the answer is 2.00.