Solve the following formula for t.

Question

Upper A equals Upper W left parenthesis 1 plus rt right parenthesis
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Part 1
The solution is tequals
  
enter your response here. ​(Simplify your​ answer.)

Answer 1

To solve the equation \( A = W(1 + rt) \) for \( t \), follow these steps:

1. Isolate the term with \( t \): Start by dividing both sides by \( W \): \[ \frac{A}{W} = 1 + rt \]

2. Rearrange the equation: Subtract 1 from both sides: \[ \frac{A}{W} - 1 = rt \]

3. Simplify the left side: Get a common denominator to combine the terms on the left side: \[ \frac{A - W}{W} = rt \]

4. Finally, solve for \( t \): Divide both sides by \( r \): \[ t = \frac{A - W}{Wr} \]

So the solution is: \[ t = \frac{A - W}{Wr} \]