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 your questions: 1.1.1 Step 1: Identify the sales for each month from the "Income" table. • January: R58 880 • February: R57 650 • March: R61 340 • April: R50 070 • May: R46 660 • June: R45 390 Step 2: Compare the sales figures to find the highest value. The highest sales figure is R61 340, which occurred in March. The business made more money in March. 1.1.2 Step 1: Sum the sales from January to June. Total Sales = R58\,880 + R57\,650 + R61\,340 + R50\,070 + R46\,660 + R45\,390 Total Sales = R329\,990 Step 2: Add the Interest from Investments to the Total Sales to find the Total Income (A). A = Total Sales + Interest from Investments A = R329\,990 + R87\,430 A = R417\,420 The value of A, the total income, is R417\,420. 1.1.3 Step 1: Sum all known expenditure items (excluding Salaries B). Known Expenditures = Rent + Truck Rental + Insurance + Fuel + Consumables Known Expenditures = R30\,000 + R57\,180 + R59\,187 + R18\,200 + R38\,550 Known Expenditures = R203\,117 Step 2: Subtract the known expenditures from the Total Expenditure to find B (Total Salaries). Total Expenditure = Known Expenditures + B R284\,117 = R203\,117 + B B = R284\,117 - R203\,117 B = R81\,000 Step 3: Calculate the salaries per month by dividing B by 6 months. Salaries per month = B6 Salaries per month = R81\,0006 Salaries per month = R13\,500 The value of B is R81\,000, and the money spent on salaries per month is R13\,500. 1.1.4 Step 1: Identify the months where sales were greater than R50 000. • January: R58 880 (> R50 000) • February: R57 650 (> R50 000) • March: R61 340 (> R50 000) • April: R50 070 (> R50 000) • May: R46 660 (< R50 000) • June: R45 390 (< R50 000) There are 4 months with sales greater than R50 000. Step 2: Calculate the probability as a fraction. Probability = Number of months with sales > R50\,000Total number of months Probability = (4)/(6) = (2)/(3) Step 3: Convert the probability to a percentage, rounded to two decimal places. Percentage = (2)/(3) × 100\% Percentage ≈ 66.666...\% Percentage ≈ 66.67\% The probability that the sales will be greater than R50 000 is 66.67\%. That's 2 down. 3 left today — send the next one.