A bank uses the following formula to calculate the bank charges (transaction fee) on money deposited at a branch (inside the bank): Transaction fee \( =R 2,50+0,95 \% \) of the amount deposited. a) Use the above formula to calculate the bank fees on the following deposits: i. R 450 ii. R 117.35 iii. \( R 6500000 \) b) Use this formula to see if the transaction fee of R 5,59 was correctly calculated from a ceposit of R 325 .

Let's solve each part of the problem step by step using the given transaction fee formula: \[ \text{Transaction fee} = R \, 2.50 + 0.95\% \text{ of the amount deposited} \] \[ \text{Transaction fee} = R \, 2.50 + 0.0095 \times \text{Amount Deposited} \] --- ### **a) Calculate the Bank Fees for the Following Deposits:** #### **i. Deposit of R 450** \[ \begin{align*} \text{Transaction fee} &= R \, 2.50 + 0.0095 \times 450 \\ &= R \, 2.50 + R \, 4.275 \\ &= R \, 6.775 \end{align*} \] **Rounded to two decimal places:** \[ \boxed{R \, 6.78} \] --- #### **ii. Deposit of R 117.35** \[ \begin{align*} \text{Transaction fee} &= R \, 2.50 + 0.0095 \times 117.35 \\ &= R \, 2.50 + R \, 1.116 \\ &= R \, 3.616 \end{align*} \] **Rounded to two decimal places:** \[ \boxed{R \, 3.62} \] --- #### **iii. Deposit of R 6,500,000** \[ \begin{align*} \text{Transaction fee} &= R \, 2.50 + 0.0095 \times 6,500,000 \\ &= R \, 2.50 + R \, 61,750 \\ &= R \, 61,752.50 \end{align*} \] \[ \boxed{R \, 61,752.50} \] --- ### **b) Verify if a Transaction Fee of R 5.59 is Correct for a Deposit of R 325** Let's calculate the transaction fee using the formula: \[ \begin{align*} \text{Transaction fee} &= R \, 2.50 + 0.0095 \times 325 \\ &= R \, 2.50 + R \, 3.0875 \\ &= R \, 5.5875 \end{align*} \] **Rounded to two decimal places:** \[ R \, 5.5875 \approx R \, 5.59 \] \[ \boxed{\text{Yes, the transaction fee of R 5.59 is correctly calculated.}} \] --- **Summary of Answers:** - **a)** - i. R 6.78 - ii. R 3.62 - iii. R 61,752.50 - **b.** Yes, the transaction fee of R 5.59 is correctly calculated for a deposit of R 325.