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's the solution to question 2: To draw a pie chart, we need to calculate the angle for each expense category. Mr. Green's total income is GHC 180.00 per week. Step 1: Clarify the "Rent" expense. The value for "Rent" is unclear in the image. Assuming that the sum of all expenses equals the total income of GHC 180.00, we can calculate the Rent. Sum of known expenses = Food (GHC 66.00) + Clothing (GHC 10.00) + Electricity (GHC 18.00) + Medical (GHC 12.00) + Taxes (GHC 16.00) + Miscellaneous (GHC 22.00) 66 + 10 + 18 + 12 + 16 + 22 = 144 GHC Therefore, Rent = Total income - Sum of known expenses Rent = 180 - 144 = 36 GHC We will proceed with the assumption that Rent is GHC 36.00. Step 2: Calculate the angle for each expense category. The total angle in a circle is 360^. The angle for each category is calculated as (Expense amount / Total income) × 360^. • Rent: (36)/(180) × 360^ = 0.2 × 360^ = 72^ • Food: (66)/(180) × 360^ = 0.366... × 360^ = 132^ • Clothing: (10)/(180) × 360^ = 0.055... × 360^ = 20^ • Electricity: (18)/(180) × 360^ = 0.1 × 360^ = 36^ • Medical: (12)/(180) × 360^ = 0.066... × 360^ = 24^ • Taxes: (16)/(180) × 360^ = 0.088... × 360^ = 32^ • Miscellaneous: (22)/(180) × 360^ = 0.122... × 360^ = 44^ Step 3: List the angles for the pie chart. The pie chart would be drawn with sectors corresponding to these angles: • Rent: 72^ • Food: 132^ • Clothing: 20^ • Electricity: 36^ • Medical: 24^ • Taxes: 32^ • Miscellaneous: 44^ (Sum of angles: 72^ + 132^ + 20^ + 36^ + 24^ + 32^ + 44^ = 360^) That's 2 down. 3 left today — send the next one.