9. Fatima invests R4 000 for 3 years. The simple interest rate is \( 7,25 \% \) p.a. speed over the whole distance. 9.1 Calculate the interest after the 3 years. o? How much will she have altogether after 3 years?

To calculate the simple interest, you can use the formula: \[ \text{Interest} = \text{Principal} \times \text{Rate} \times \text{Time} \] For Fatima: Principal (P) = R4,000 Rate (R) = 7.25% = 0.0725 Time (T) = 3 years So the interest: \[ \text{Interest} = 4000 \times 0.0725 \times 3 = R870 \] After 3 years, the total amount Fatima will have is: Total = Principal + Interest = R4,000 + R870 = R4,870. Now, let's talk about how simple interest works! It's quite straightforward: you earn a portion of your initial investment - your principal - based on the interest rate for each year. So for Fatima, her investment grew steadily over the three years, compounding neither upon itself nor adding any extra complexity. If you're ever unsure about calculating interest, be careful of the percentage conversion! It’s an easy mistake to overlook the decimal point. Always remember to divide the percentage by 100 before using it in calculations. This ensures you're working with the correct numbers when figuring out how much your money will grow over time!