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
Here are the solutions to the questions based on the provided bank statement: 5.1.1) Step 1: Locate the date "6th of February 2016" on the bank statement. Step 2: Read the corresponding balance in the "Balance" column. The bank balance at the end of business on the 6th of February 2016 is R8 257,99. 5.1.2) Step 1: Calculate the value of A. On 04/02/2016, the balance before the Vodacom transaction was R18 449,68. The balance after the transaction was R17 557,99. Since the balance decreased, it was a debit transaction. A = R18 449,68 - R17 557,99 A = R891,69 Step 2: Calculate the value of B. On 15/02/2016, the balance before the Trading account transaction was R6 640,49. The transaction amount was R2 511,50. Since it was a debit transaction (balance decreased), the new balance B is: B = R6 640,49 - R2 511,50 B = R4 128,99 The value of A is R891,69 and the value of B is R4 128,99. 5.1.3) Step 1: Identify the rent amount and the monthly salary from the statement. Rent amount (06/02/2016) = R6 800,00 Monthly salary (01/02/2016) = R20 180,43 Step 2: Calculate the rent amount as a percentage of the monthly salary. Percentage = ( Rent amountMonthly salary ) × 100\% Percentage = ( R6 800,00R20 180,43 ) × 100\% Percentage ≈ 0,336959 × 100\% Percentage ≈ 33,70\% The rent amount as a percentage of the monthly salary is 33,70\%. 5.1.4) Step 1: Count the total number of transactions on the bank statement. There are 13 distinct transactions listed on the statement. Step 2: Identify and count the credit transactions. A credit transaction increases the bank balance. • 01/02/2016: Monthly salary (Balance increased from an assumed R0 to R20 180,43) - Credit • 02/03/2016: Trading account (Balance increased from B = R4 128,99 to R10 083,99) - Credit • 18/03/2016: Trading account (Balance increased from R8 946,94 to R12 023,94) - Credit There are 3 credit transactions. Step 3: Calculate the probability. Probability = Number of credit transactionsTotal number of transactions Probability = (3)/(13) The probability of finding a credit transaction is (3)/(13). That's 2 down. 3 left today — send the next one.