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 is the solution to question 23 (b) and 24 (a): b) Determine Mr. Kembo's net pay. From the previous calculations (Question 23a), Mr. Kembo's gross pay (total taxable income) was Ksh. 76,000 and his PAYE was Ksh. 12,991.85. Step 1: Calculate the NHIF contribution. The NHIF contribution is 2.75% of the gross pay. NHIF = 0.0275 × 76,000 NHIF = 2,090 Ksh. Step 2: Calculate the Housing levy. The Housing levy is 1.5% of the gross pay. Housing Levy = 0.015 × 76,000 Housing Levy = 1,140 Ksh. Step 3: Calculate the total deductions. The total deductions include PAYE, NSSF, NHIF, and Housing levy. Total Deductions = PAYE + NSSF + NHIF + Housing Levy Total Deductions = 12,991.85 + 2,160 + 2,090 + 1,140 Total Deductions = 18,381.85 Ksh. Step 4: Calculate the net pay. Net pay is the gross pay minus total deductions. Net Pay = Gross Pay - Total Deductions Net Pay = 76,000 - 18,381.85 Net Pay = Ksh. 57,618.15 24. a) Find the image of a point P(3, -1) under the transformation defined by x' = x - 2y and y' = 2x. Given the point P(x, y) = P(3, -1), so x = 3 and y = -1. Step 1: Substitute the values of x and y into the equation for x'. x' = x - 2y x' = 3 - 2(-1) x' = 3 + 2 x' = 5 Step 2: Substitute the value of x into the equation for y'. y' = 2x y' = 2(3) y' = 6 Step 3: State the image point P'(x', y'). The image of point P(3, -1) is P'(5, 6). What's next? Send 'em!