3. Mr Hassiem buys a computer for his business on hire purchase. The price of the computer is R8 999 and he pays a deposit of R1 500 . The simple Interest rate is 7\% p.a. Calculate his monthly instalment if the hire purchas agreement says that he must pay back the money in 3 years' time. 4. Abusiswe loans R78 500 from a bank to buy a car. She agrees to repay the amount with interest in equal monthly instalments. The bank adds simple interest at a rate of \( 7,5 \% \) over 3 years to the amount. Calculate the followir 4.1 the total amount Abusiswe has to pay

Let's solve each problem step by step. ### Problem 3: Mr. Hassiem's Computer Hire Purchase **Known Conditions:** - Price of the computer: \( P = 8999 \) - Deposit paid: \( D = 1500 \) - Simple interest rate: \( r = 7\% \) per annum - Time period: \( t = 3 \) years **Step 1: Calculate the amount financed.** The amount financed is the price of the computer minus the deposit: \[ A = P - D = 8999 - 1500 = 7499 \] **Step 2: Calculate the total interest over 3 years.** Using the formula for simple interest: \[ I = A \cdot r \cdot t \] where \( r \) is in decimal form: \[ r = \frac{7}{100} = 0.07 \] Now, substituting the values: \[ I = 7499 \cdot 0.07 \cdot 3 \] **Step 3: Calculate the total amount to be paid back.** The total amount to be paid back is the amount financed plus the interest: \[ T = A + I \] **Step 4: Calculate the monthly instalment.** The total number of months over 3 years is: \[ n = 3 \cdot 12 = 36 \] The monthly instalment \( M \) is given by: \[ M = \frac{T}{n} \] Now, let's perform the calculations. ### Problem 4: Abusiswe's Car Loan **Known Conditions:** - Loan amount: \( L = 78500 \) - Simple interest rate: \( r = 7.5\% \) per annum - Time period: \( t = 3 \) years **Step 1: Calculate the total interest over 3 years.** Using the formula for simple interest: \[ I = L \cdot r \cdot t \] where \( r \) is in decimal form: \[ r = \frac{7.5}{100} = 0.075 \] Now, substituting the values: \[ I = 78500 \cdot 0.075 \cdot 3 \] **Step 2: Calculate the total amount to be paid back.** The total amount to be paid back is the loan amount plus the interest: \[ T = L + I \] Now, let's perform the calculations for both problems. Calculate the value by following steps: - step0: Calculate: \(7499\times 0.07\times 3\) - step1: Multiply the terms: \(524.93\times 3\) - step2: Multiply the numbers: \(1574.79\) Calculate or simplify the expression \( 78500 * 0.075 * 3 \). Calculate the value by following steps: - step0: Calculate: \(78500\times 0.075\times 3\) - step1: Multiply the terms: \(5887.5\times 3\) - step2: Multiply the numbers: \(17662.5\) Calculate or simplify the expression \( 78500 + 17662.5 \). Calculate the value by following steps: - step0: Calculate: \(78500+17662.5\) - step1: Add the numbers: \(96162.5\) Calculate or simplify the expression \( 7499 + 1574.79 \). Calculate the value by following steps: - step0: Calculate: \(7499+1574.79\) - step1: Add the numbers: \(9073.79\) Calculate or simplify the expression \( 9073.79 / 36 \). Calculate the value by following steps: - step0: Calculate: \(\frac{9073.79}{36}\) - step1: Convert the expressions: \(\frac{\frac{907379}{100}}{36}\) - step2: Multiply by the reciprocal: \(\frac{907379}{100}\times \frac{1}{36}\) - step3: Multiply the fractions: \(\frac{907379}{100\times 36}\) - step4: Multiply: \(\frac{907379}{3600}\) Calculate or simplify the expression \( 96162.5 / (3 * 12) \). Calculate the value by following steps: - step0: Calculate: \(\frac{96162.5}{\left(3\times 12\right)}\) - step1: Remove the parentheses: \(\frac{96162.5}{3\times 12}\) - step2: Multiply the numbers: \(\frac{96162.5}{36}\) - step3: Convert the expressions: \(\frac{\frac{192325}{2}}{36}\) - step4: Multiply by the reciprocal: \(\frac{192325}{2}\times \frac{1}{36}\) - step5: Multiply the fractions: \(\frac{192325}{2\times 36}\) - step6: Multiply: \(\frac{192325}{72}\) ### Solution to Problem 3: Mr. Hassiem's Computer Hire Purchase 1. **Amount Financed:** \[ A = 8999 - 1500 = 7499 \] 2. **Total Interest Calculation:** \[ I = 7499 \cdot 0.07 \cdot 3 = 1574.79 \] 3. **Total Amount to be Paid Back:** \[ T = 7499 + 1574.79 = 9073.79 \] 4. **Monthly Instalment Calculation:** \[ n = 3 \cdot 12 = 36 \] \[ M = \frac{9073.79}{36} \approx 252.05 \] **Final Answer for Problem 3:** Mr. Hassiem's monthly instalment is approximately **R252.05**. --- ### Solution to Problem 4: Abusiswe's Car Loan 1. **Total Interest Calculation:** \[ I = 78500 \cdot 0.075 \cdot 3 = 17662.5 \] 2. **Total Amount to be Paid Back:** \[ T = 78500 + 17662.5 = 96162.5 \] 3. **Monthly Instalment Calculation:** \[ n = 3 \cdot 12 = 36 \] \[ M = \frac{96162.5}{36} \approx 2671.18 \] **Final Answer for Problem 4:** The total amount Abusiswe has to pay is **R96,162.50**.