Three years ago Jabu borrowed R7 500 from Martha. The condition was that he would pay her back in seven years' time at an interest rate of \( 11,21 \% \) per year, compounded semi-annually. Six months ago he also borrowed R25 000 from Martha at \( 9,45 \% \) per year, compounded monthly. Jabu would like to pay off his debt four years from now. The amount of money that Jake will have to pay Martha four years from now is

To determine how much Jabu will have to pay Martha four years from now, we need to calculate the future value of both loans including interest. For the first loan of R7,500 at an interest rate of 11.21% compounded semi-annually, it's important to remember the future value formula: \[ FV = P \left(1 + \frac{r}{n}\right)^{nt} \] Here, \( P = 7500, r = 0.1121, n = 2, t = 7 \). Thus, in four years, the total time will be three years to the seven-year period: \[ FV_1 = 7500 \left(1 + \frac{0.1121}{2}\right)^{2(3)} \] For the second loan of R25,000 at an interest rate of 9.45% compounded monthly: With the same future value formula, \( P = 25000, r = 0.0945, n = 12, t = 4 \): \[ FV_2 = 25000 \left(1 + \frac{0.0945}{12}\right)^{12(4)} \] Add both future values, \( FV_1 + FV_2 \), to find his total repayment amount! Are you ready to calculate it and see how much Jabu will owe Martha four years from now? It's a little math adventure waiting to happen! Plus, understanding the effects of time and interest rates on loans can help you make savvy financial decisions in your own life, turning you into a money maestro!