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- The following table shows individual rates of income tax
Income K£ PA ...(Solved)
The following table shows individual rates of income tax
Income K£ PA Rate (sh. Per K£)
1 – 4512 2
4513 - 9024 3
9025 – 13536 4
13537 – above 5
Mr. Kariuki lives in a company house for which he pays a nominal rent of Ksh.610 per month. For taxation purpose, his basic salary is increased by 15%. He is insured and pays sh.1200 as premiums per month and claims insurance relief of K£ 36 per annum. He also claims a family relief of sh.660 per month. In addition, he is a member of a co-operative society, to which he remits Ksh.1500 per month, as shares. If Mr. Kariuki’s P.A.Y.E is ksh.2400 per month, calculate his net salary in shillings per month.
Date posted: August 27, 2019. Answers (1)
- A straight line L1 has its x-intercept and y-intercept as -6 and 4 respectively.
a) Write its equation in the form ax +by +c =0 where...(Solved)
A straight line L1 has its x-intercept and y-intercept as -6 and 4 respectively.
a) Write its equation in the form ax +by +c =0 where a, b, and c are integers
b) Another line L2 which is parallel to L1 in (a) above passes through (2,3k) and (-k,8). Find the value of k.
c) Find the equation of the perpendicular bisector to the line L1
d) Calculate the angle which L1 makes with the x-axis
Date posted: August 27, 2019. Answers (1)
- XAY is a tangent to the circle ABCD. AD is parallel to the straight line CBY . Angle ADC = 114°, and AB = BY
Calculate...(Solved)
XAY is a tangent to the circle ABCD. AD is parallel to the straight line CBY . Angle ADC = 114°, and AB = BY
Calculate angles
i. ABC
ii. BCA
Date posted: August 27, 2019. Answers (1)
- Find the equation of the normal to the curve y = x3 – 2x2 + 3x – 1(Solved)
Find the equation of the normal to the curve y = x3 – 2x2 + 3x – 1
Date posted: August 27, 2019. Answers (1)
- The figure below shows a circle centre O touching the vertices A , B , C of triangle AB = 8.8cm , BC = 5.4cm...(Solved)
The figure below shows a circle centre O touching the vertices A , B , C of triangle AB = 8.8cm , BC = 5.4cm and AC = 9.2cm.
Calculate the radius of the circle to the nearest whole number.
Date posted: August 27, 2019. Answers (1)
- The figure below represents a right pyramid with a vertex V and a rectangular base, ABCD. VA = VB = VC = VD = 40...(Solved)
The figure below represents a right pyramid with a vertex V and a rectangular base, ABCD. VA = VB = VC = VD = 40 cm.AB = 30cm and BC = 22cm. X is the mid-point of BC.Calculate the size of the angle between planes VBC and ABCD
Date posted: August 27, 2019. Answers (1)
- Solve and represent the integral values of the linear inequalities given below on a number line.(Solved)
Solve and represent the integral values of the linear inequalities given below on a number line.
Date posted: August 27, 2019. Answers (1)
- In the figure below, RP and RQ are tangents to the circle centre O, radius r cm. OQ produced meets PR produced at T. QT...(Solved)
In the figure below, RP and RQ are tangents to the circle centre O, radius r cm. OQ produced meets PR produced at T. QT = 12cm and QR = 5cm Calculate the radius of the circle.
Date posted: August 27, 2019. Answers (1)
- The density of a sphere of diameter p cm is 2.68 g/cm3 and that of another sphere is diameter Q cm is 14.23 g/cm3. Determine...(Solved)
The density of a sphere of diameter p cm is 2.68 g/cm3 and that of another sphere is diameter Q cm is 14.23 g/cm3. Determine the volume of sphere Q that would have the same mass as 80cm3.
Date posted: August 27, 2019. Answers (1)
- Find the exact area of the region bounded by the curve y = 9x - x3 and the x axis.(Solved)
Find the exact area of the region bounded by the curve y = 9x - x3 and the x axis.
Date posted: August 27, 2019. Answers (1)
- Given that y is inversely proportional to xn and ß is the constant of proportionality and that x = 2, when y = 12, and...(Solved)
Given that y is inversely proportional to xn and β is the constant of proportionality and that x = 2, when y = 12, and x = 4, when y = 3, find the values of n and β.
Date posted: August 27, 2019. Answers (1)
- a)Find the position vector OC of the centre of a circle C, whose equation is 2x2 + 2y2 + 4x - 6y - 26 =...(Solved)
a)Find the position vector OC of the centre of a circle C, whose equation is 2x2 + 2y2 + 4x - 6y - 26 = 0.
b. If the circle passes through P (3, 2), use vector method to find the diameter of the circle.
Date posted: August 27, 2019. Answers (1)
- Find the scalars S and T such that Sa + Tb = c (Solved)
The position vectors a =
Find the scalars S and T such that Sa + Tb = c
Date posted: August 27, 2019. Answers (1)
- Find the percentage error in the quotient in 9.16cm ÷2.0cm(Solved)
Find the percentage error in the quotient in 9.16cm ÷2.0cm
Date posted: August 27, 2019. Answers (1)
- Make c the subject of the formula in(Solved)
Make c the subject of the formula in
Date posted: August 27, 2019. Answers (1)
- Using the tables of squares, square roots and reciprocal,solve the equation below(Solved)
Using the tables of squares, square roots and reciprocal,solve the equation below
Date posted: August 27, 2019. Answers (1)
- Without using tables or a calculator evaluate(Solved)
Without using tables or a calculator evaluate
Date posted: August 27, 2019. Answers (1)
- Determine the possible values of x.(Solved)
The matrix 
maps a triangle ABC onto a straight line.Determine the possible values of x.
Date posted: August 27, 2019. Answers (1)
- Simplify the following giving your answer in the simplest form possible.(Solved)
Simplify the following giving your answer in the simplest form possible.
Date posted: August 27, 2019. Answers (1)
- Find the value of the term independent of x in the expansion of(Solved)
Find the value of the term independent of x in the expansion of
Date posted: August 27, 2019. Answers (1)