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.
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3.2.1 Pie chart of the types of deductions The total deductions are GH¢8,700. Use the breakdown of deduction types provided in the table (e.g., income tax, social security, union dues, etc.) to calculate percentages and central angles. For each type: Percentage = amount of type8700 × 100\% Central angle = percentage × 3.6^ Draw a circle and mark sectors with protractor using these angles. Label each sector with type and amount. 3.2.2 Emmanuel Kofi's total gross salary for the year Step 1: State the formula. Total gross salary = number of months × monthly gross salary Step 2: Substitute values. Number of months = 12 Monthly gross salary = GH¢80,700 Total gross salary = 12 × 80,700 Step 3: Simplify. 12 × 80,700 = 10 × 80,700 + 2 × 80,700 = 807,000 + 161,400 = GH¢968,400 968400 3.2.3 Employee's UPF contribution (13% of gross salary) Step 1: State the formula. UPF contribution = 13\% of monthly gross salary = 0.13 × 80,700 Step 2: Substitute and compute. 0.13 × 80,700 = (13)/(100) × 80,700 = 13 × 807 Step 3: Simplify. 10 × 807 = 8,070 3 × 807 = 2,421 8,070 + 2,421 = GH¢10,491 10491 3.2.4 Net salary transferred to bank account per month (after UPF) Step 1: State the values. Net pay before UPF = GH¢72,000 UPF contribution = GH¢10,491 Step 2: Apply formula. Net salary transferred = net pay before UPF - UPF 72,000 - 10,491 Step 3: Simplify. = GH¢61,509 61509 3.2.5 Total net salary transferred to bank account for the year Step 1: State the formula. Total net salary = 12 × monthly net salary transferred Step 2: Substitute values. Monthly net salary transferred = GH¢61,509 12 × 61,509 Step 3: Simplify. 10 × 61,509 = 615,090 2 × 61,509 = 123,018 615,090 + 123,018 = GH¢738,108 738108