Suppose you have $2050 in your savings account at the end of a certain period of time. You invested $1300 at a 2.33% simple annual interest rate. How long, in years, was your money invested?

1. Write down the formula for simple interest:

A = P(1 + rt)

2. Substitute the given values into the formula:

2050 = 1300(1 + 0.0233t)

3. Solve for \( t \):

1 + 0.0233t = \frac{2050}{1300}

4. Simplify the fraction:

1 + 0.0233t = 1.5769

5. Subtract 1 from both sides:

0.0233t = 0.5769

6. Divide both sides by 0.0233:

t = \frac{0.5769}{0.0233}

t \approx 24.76

Therefore, the money was invested for approximately 24.76 years.