Solve the following formula for t.

Question

Upper J equals Upper B left parenthesis 1 plus rt right parenthesis
Question content area bottom
Part 1
The solution is tequals
  
enter your response here. ​(Simplify your​ answer.)

Answer 1

To solve the formula \( J = B(1 + rt) \) for \( t \), follow these steps:

1. Isolate the term containing \( t \): \[ \frac{J}{B} = 1 + rt \]

2. Subtract 1 from both sides: \[ \frac{J}{B} - 1 = rt \]

3. Combine the left side: \[ \frac{J - B}{B} = rt \]

4. Divide both sides by \( r \) to solve for \( t \): \[ t = \frac{J - B}{Br} \]

So, the final expression for \( t \) is: \[ t = \frac{J - B}{Br} \]

You can enter this response in the appropriate format.