Question

Solve the following equations. (You may leave your answer in terms of logarithms or you can plug your answer into a calculator to get a decimal approximation.)

Answer 1

Given the equation:

`200(1.06)^t=550`

We divide each side by 200:

`\begin{gathered} (200)/(200)(1.06)^t=(550)/(200) \\ 1.06^t=2.75 \end{gathered}`

Now, we take the natural logarithm:

`\begin{gathered} \ln (1.06^t)=\ln (2.75) \\ t\cdot\ln (1.06)=\ln (2.75) \\ \therefore t=(\ln (2.75))/(\ln (1.06)) \end{gathered}`