Question

Solve the following formula for t.
Upper U equals Upper M 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 formula \( U = M(1 + rt) \) for \( t \), follow these steps:

1. **Divide both sides by \( M \)**:
\[
\frac{U}{M} = 1 + rt
\]

2. **Subtract 1 from both sides**:
\[
\frac{U}{M} - 1 = rt
\]

3. **Rewrite the left side**:
\[
\frac{U - M}{M} = rt
\]

4. **Divide both sides by \( r \)**:
\[
t = \frac{U - M}{Mr}
\]

So, the solution for \( t \) is:
\[
t = \frac{U - M}{Mr}
\]