Question 2 2. Divide R55000 in the rallo \( 4: 0: 7 \) 2. A pair of jeane marked at \( \mathrm{k} 460,00 \) ls aold at a discount of \( 20 \% \). Determine the selling price. (d) (3) 2. With the use of the following formula, determine the fifure value of 'Steven's monoy. Round ALL. thie answer off to 2 decimal places. \[ A=P(1+i n) \] Steven won a portion of the local lotery, 'Thie price money is to tho value of R18 000 . He wants to invest the monoy but docs not know which bank to choose. FNB offers Stoven \( 5,6 \% \) for 8 years simple interest por mumm, Nedbank offers Stoven \( 6,6 \% \) for 6 years simple interest per anaum and Standard Bank offers \( 7,2 \% \) for 5 years almplo interest. Determine each bank's futuro value to help Steven deeide whith bank ho should choose. FNB Nedbank Standard Bank (9)

**Problem 2.1: Division of R55000 in the Ratio \(4:0:7\)** 1. Calculate the total number of parts: \[ 4 + 0 + 7 = 11 \text{ parts} \] 2. Determine the value of one part: \[ \text{Value per part} = \frac{55000}{11} = 5000 \] 3. The first share (4 parts): \[ 4 \times 5000 = 20000 \] 4. The second share (0 parts): \[ 0 \times 5000 = 0 \] 5. The third share (7 parts): \[ 7 \times 5000 = 35000 \] So, the amounts are: - First: R20000 - Second: R0 - Third: R35000 --- **Problem 2.2: Selling Price of Jeans** 1. The marked price is \( R460 \). 2. The discount given is \( 20\% \). Calculate the discount amount: \[ \text{Discount} = 0.20 \times 460 = 92 \] 3. Subtract the discount from the marked price: \[ \text{Selling price} = 460 - 92 = 368 \] Thus, the selling price is R368. --- **Problem 2.3: Future Value of Steven's Lottery Money** Steven has \( P = R18000 \). The formula for simple interest is: \[ A = P(1+in) \] where \( i \) is the interest rate (in decimal form) and \( n \) is the number of years. 1. **FNB:** - Interest rate: \( 5.6\% = 0.056 \) - Time: \( 8 \) years \[ A = 18000\left(1 + 0.056 \times 8\right) = 18000\left(1 + 0.448\right) = 18000 \times 1.448 = 26064 \] 2. **Nedbank:** - Interest rate: \( 6.6\% = 0.066 \) - Time: \( 6 \) years \[ A = 18000\left(1 + 0.066 \times 6\right) = 18000\left(1 + 0.396\right) = 18000 \times 1.396 = 25128 \] 3. **Standard Bank:** - Interest rate: \( 7.2\% = 0.072 \) - Time: \( 5 \) years \[ A = 18000\left(1 + 0.072 \times 5\right) = 18000\left(1 + 0.36\right) = 18000 \times 1.36 = 24480 \] To decide which bank Steven should choose, compare the future values: - FNB: R26064 - Nedbank: R25128 - Standard Bank: R24480 FNB offers the highest future value. ---