This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
3.1.1 The interest rate is the percentage charged by a lender to a borrower for the use of assets, or the percentage paid on a deposit to a saver. 3.1.2 Step 1: Use the simple interest formula A = P(1 + rt), where P is the principal, r is the interest rate, and t is the time in years. A = R 5000(1 + 0.10 × 2) Step 2: Calculate the total value. A = R 5000(1 + 0.20) A = R 5000(1.20) A = R 6000.00 The total value for Option A is R 6000.00. 3.1.3 Step 1: Use the compound interest formula A = P(1 + i)^n, where P is the principal, i is the interest rate per period, and n is the number of periods. A = R 5000(1 + 0.08)^2 Step 2: Calculate the total value. A = R 5000(1.08)^2 A = R 5000(1.1664) A = R 5832.00 The total value for Option B is R 5832.00. 3.1.4 Step 1: Calculate the interest earned for Option A. Interest_A = Total Value_A - Principal Interest_A = R 6000.00 - R 5000.00 Interest_A = R 1000.00 Step 2: Calculate the interest earned for Option B. Interest_B = Total Value_B - Principal Interest_B = R 5832.00 - R 5000.00 Interest_B = R 832.00 Step 3: Compare the interests. R 1000.00 > R 832.00 Option A gives James a higher interest. 3.2.1 Step 1: Calculate the fee amount, which is 2% of the withdrawal amount. Fee = 2\% × R 1200 Fee = 0.02 × R 1200 Fee = R 24.00 The fee amount charged is R 24.00. 3.2.2 The amount of R1224 was calculated by adding the withdrawal amount to the bank fee charged on the withdrawal. R 1224 = Withdrawal amount + Fee R 1224 = R 1200 + R 24 R 1224 = R 1224 The amount of R1224 was calculated as the total cost of the withdrawal, including the 2% fee. 3.3.1 The opening balance is the amount of money in an account at the beginning of a new financial period, typically the first day of a month or year. Send me the next one 📸