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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
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)
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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
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Answers (1)
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Without using tables or a calculator evaluate
(Solved)
Without using tables or a calculator evaluate

Date posted:
August 27, 2019
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Answers (1)
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By using completing square method, solve for x in 4x2 – 3x – 6 = 0
(Solved)
By using completing square method, solve for x in 4x2 – 3x – 6 = 0
Date posted:
August 27, 2019
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Answers (1)
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A plane leaves an airport x (41.50N, 36.40W) at 9.00a.m. and flies due North to airport y on latitude 53.20N.
(a) Calculate the distance covered by...
(Solved)
A plane leaves an airport x (41.50N, 36.40W) at 9.00a.m. and flies due North to airport y on latitude 53.20N.
(a) Calculate the distance covered by the plane in kilometers.
(b) After stopping for 30 minutes to refuel at Y, the plane then flies due east to airport Z, 2500km from Y. Find:-
(i) The position of Z.
(ii) The time the plane lands at Z, if its speed is 500km/h.
(Take the value of π as 22/7 and radius of the earth as 6370km)
Date posted:
August 27, 2019
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Answers (1)
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On arrival to Kenya a Canadian tourist exchanged his Canadian dollars for Ksh 199 690.Given that the currency exchange rate was 1 Canadian dollar =...
(Solved)
On arrival to Kenya a Canadian tourist exchanged his Canadian dollars for Ksh 199 690.Given that the currency exchange rate was 1 Canadian dollar = Ksh 52.55 and that the bank charged him 5% commission, find the number of dollars he exchanged.
Date posted:
August 27, 2019
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Answers (1)
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(a) Using the trapezoidal rule, estimate the area under the curve y = ½ x2– 2 between the lines x = 0 and x =...
(Solved)
(a) Using the trapezoidal rule, estimate the area under the curve y = ½ x2– 2 between the lines x = 0 and x = 6 using 6 strips.
(b) Use the integration to evaluate the exact area under the curve.
(c) Hence calculate the percentage error in calculating the area using trapezoidal rule.
Date posted:
August 27, 2019
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Answers (1)
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Three variables p, q and r are such that p varies directly as q and inversely as the square of r.
(a) When p = 18,...
(Solved)
Three variables p, q and r are such that p varies directly as q and inversely as the square of r.
(a) When p = 18, q = 24 and r = 4.Find p when q = 30 and r = 10.
(b) Express q in terms of p and r.
(c) If p is increased by 20% and r is decreased by 10% find:
(i) A simplified expression for the change in q in terms of p and r.
(ii) The percentage change in q.
Date posted:
August 27, 2019
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Answers (1)
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A spherical solid lead of diameter 12cm weighs 6.4kg. How much would a similar solid of a diameter 10cm weigh?
(Solved)
A spherical solid lead of diameter 12cm weighs 6.4kg. How much would a similar solid of a diameter 10cm weigh?
Date posted:
August 27, 2019
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Answers (1)
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The LCM of two numbers is 328,600 and the GCD is 20. If one of the numbers is 1240, use prime factorization method, find the...
(Solved)
The LCM of two numbers is 328,600 and the GCD is 20. If one of the numbers is 1240, use prime factorization method, find the other number.
Date posted:
August 27, 2019
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Answers (1)
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Solve for x in sin (x-15)-cos(x+5)=15
(Solved)
Solve for x in sin (x-15)-cos(x+5)=15
Date posted:
August 27, 2019
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Answers (1)
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The data below represents the ages in months at which 6 babies started walking; 9, 11, 12, 13, 11 and 10. Without using a calculator,...
(Solved)
The data below represents the ages in months at which 6 babies started walking; 9, 11, 12, 13, 11 and 10. Without using a calculator, find the exact value of the variance of the data.
Date posted:
August 27, 2019
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Answers (1)
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Three warships P, Q and R leave port X at 9:00am. Ship P sails at a steady speed on a bearing of 070°, 100km from...
(Solved)
Three warships P, Q and R leave port X at 9:00am. Ship P sails at a steady speed on a bearing of 070°, 100km from port X, while ship Q sails on a bearing of 320°, 80km from X. Ship R is on a bearing of 150° from port X and due south of ship P.
a) Using a ruler and compasses only construct a scale drawing to show the position of P,Q,R and X
b) Use the scale drawing to determine
i) the distance and bearing of ship P from ship Q
ii) the distance of ship R from port X
iii) the distance of ship R from ship P
Date posted:
August 27, 2019
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Answers (1)