6. Maresa earns R20 000 per month. She decides to invest \( \frac{1}{10} \) of her money at \( 8 \% \) simple interest per year. a) What amount does she invest? b) How much interest will she earn at the end of the year? c) How much money will be in her investment after 5 years?

**(a) Calculating the Amount Invested** Maresa invests \(\frac{1}{10}\) of her monthly salary. Her salary is \(\text{R}20\,000\), so the amount invested is \[ \text{Investment} = \frac{1}{10} \times \text{R}20\,000 = \text{R}2\,000. \] --- **(b) Calculating the Interest Earned at the End of the Year** The simple interest formula is given by \[ I = P \times r \times t, \] where \(P\) is the principal, \(r\) is the annual interest rate (in decimal form), and \(t\) is the time in years. Here, \(P = \text{R}2\,000\), \(r = 0.08\) (since \(8\% = 0.08\)), and \(t = 1\) year. Thus, \[ I = \text{R}2\,000 \times 0.08 \times 1 = \text{R}160. \] --- **(c) Calculating the Total Investment Value After 5 Years** For simple interest over 5 years, the total interest earned is \[ I_{\text{5 years}} = \text{R}2\,000 \times 0.08 \times 5 = \text{R}800. \] The total amount in the investment after 5 years is the sum of the principal and the interest: \[ \text{Total Amount} = \text{Principal} + \text{Interest} = \text{R}2\,000 + \text{R}800 = \text{R}2\,800. \] --- **Answers:** - (a) \( \text{Amount Invested} = \text{R}2\,000 \) - (b) \( \text{Interest Earned at the End of the Year} = \text{R}160 \) - (c) \( \text{Total Amount After 5 Years} = \text{R}2\,800 \)