Answer:hope it helpsStep-by-step explanation:Here's how to calculate the loan duration: 1. Understand the Formula: - Simple Interest = (Principal * Rate * Time) / 100 Where: - Principal (P) = P15,900- Rate (R) = 9%- Time (T) = What we need to find- Simple Interest = P6,586 2. Rearrange the Formula to Solve for Time: - Time = (Simple Interest * 100) / (Principal * Rate) 3. Plug in the Values: - Time = (6586 * 100) / (15900 * 9) 4. Calculate: - Time = 658600 / 143100- Time ≈ 4.6 years Therefore, the loan was taken out for approximately 4.6 years.