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Income rates for income earned were charged as follows.
A civil servant earns a monthly salary of ksh.19, 200. His house allowance is ksh.12, 000 per...
(Solved)
Income rates for income earned were charged as follows.
A civil servant earns a monthly salary of ksh.19, 200. His house allowance is ksh.12, 000 per month.
Other allowances per month are transport ksh.13, 000 and medical allowance ksh.2, 300. He is
entitled to a family relief of ksh.1, 240 per month. Determine
(a) (i) His taxable income per month
(ii) Net tax
(b) In addition, the following deductions were made.
NHIF sh.230
Service charge ksh.100
Loan repayment ksh.4, 000
Cooperative shares of ksh.1, 200
Calculate his net salary per month
Date posted:
November 11, 2019
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Answers (1)
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The figure below shows a right pyramid standing on a rectangular base ABCD. AB = 8cm, BC = 15cm and each slant edge is 12...
(Solved)
The figure below shows a right pyramid standing on a rectangular base ABCD. AB = 8cm, BC = 15cm and each slant edge is 12 cm long M is the midpoint of BC.
Calculate to one decimal place
a) the vertical height of the pyramid
b) the volume of the pyramid
c) the angle between plane VBC and the base
d) the angle between line VA and the plane ABCD
Date posted:
November 11, 2019
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Answers (1)
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Without using a protractor, construct line XY = 8cm
a) Construct the locus of all points R such that ??????? = 60°
b) Construct the locus of...
(Solved)
Without using a protractor, construct line XY = 8cm
a) Construct the locus of all points R such that ∠𝑋𝑅𝑌 = 60°
b) Construct the locus of all points P such that the area of triangle XPY is 16 𝑐𝑚2.
c) Mark all the points where the locus of R intersects the locus of P with the letters A,B,C and D
Date posted:
November 11, 2019
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Answers (1)
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A pavement is of length (?? - 1)?? and width (?? - 8)??. The area of the pavement is 4.56 ??2.
a)(i) Write a quadratic equation...
(Solved)
A pavement is of length (𝑥 − 1)𝑚 and width (𝑥 − 8)𝑚. The area of the pavement is 4.56 𝑚2.
a)(i) Write a quadratic equation for the area of the pavement in the form 𝑎𝑥2 + 𝑏𝑥 + 𝑐 = 0 where a, b
and c are constants.
(ii) Using the method of completing square, find the actual length and width of the pavement.
b) The pavement is covered with rectangular tiles measuring 0.4 m by 0.3 m. determine the number of tiles used to cover the pavement completely.
Date posted:
November 11, 2019
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Answers (1)
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Evaluate
(Solved)
Evaluate 
Date posted:
November 11, 2019
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Answers (1)
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The original area of an object after two successive transformations given by in that order becomes 168 square units. Find the original area of...
(Solved)
The original area of an object after two successive transformations given by 
in that order becomes 168 square units. Find the original area of the object.
Date posted:
November 11, 2019
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Answers (1)
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During inter-school competitions, rugby and football teams from Ranje sec school took part. The probability that the rugby would win their first match was 1/8...
(Solved)
During inter-school competitions, rugby and football teams from Ranje sec school took part. The probability that the rugby would win their first match was 1/8 while that the handball team could lose was 4/7. Find the probability that at least one team won the first match.
Date posted:
November 11, 2019
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Answers (1)
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Points A and B lie on latitude 15°N and their longitudes differ by 25°. An aircraft takes 8 hours to fly between the points. Calculate...
(Solved)
Points A and B lie on latitude 15°N and their longitudes differ by 25°. An aircraft takes 8 hours to fly between the points. Calculate its speed in knots.
Date posted:
November 11, 2019
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Answers (1)
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Calculate the semi-interquartile range of 3,4,1,2,3,6,8,5,7,9.
(Solved)
Calculate the semi-interquartile range of 3,4,1,2,3,6,8,5,7,9.
Date posted:
November 11, 2019
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Answers (1)
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State the amplitude and the phase angle of the curve 4y = cos(5x - 400)
(Solved)
State the amplitude and the phase angle of the curve 4y = cos(5x - 400)
Date posted:
November 8, 2019
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Answers (1)
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Solve the quadratic equation by completing the square method. 2x2 - 5x = -3
(Solved)
Solve the quadratic equation by completing the square method.
2x2 - 5x = -3
Date posted:
November 8, 2019
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Answers (1)
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In the figure below, AB is a diameter of the circle. Chord PQ intersects AB at N. A tangent to the
circle at B and meets...
(Solved)
In the figure below, AB is a diameter of the circle. Chord PQ intersects AB at N. A tangent to the
circle at B and meets PQ produced at R.
Given that PN = 14 cm, NB = 4 cm and BR = 7.5 cm, calculate the length of;
a) NR
b) AN
Date posted:
November 8, 2019
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Answers (1)
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Calculate the exact value of compound interest earned on Sh. 20 000 for 1 and half years at the rate of 12% p.a, compounded half yearly.
(Solved)
Calculate the exact value of compound interest earned on Sh. 20 000 for 1 and half years at the rate of 12% p.a, compounded half yearly.
Date posted:
November 8, 2019
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Answers (1)
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Given that z varies directly as the square of x and inversely as the square root of y.
(Solved)
Given that z varies directly as the square of x and inversely as the square root of y. If x = 2, y = 9
when z = 3, find z when x = 3 and y = 4.
Date posted:
November 8, 2019
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Answers (1)
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Solve for x in the equation log (5x - 15) - log(2x - 3) = 1
(Solved)
Solve for x in the equation
log (5x - 15) - log(2x - 3) = 1
Date posted:
November 8, 2019
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Answers (1)
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The equation of a curve is given by y=x3 + 4x2 - 3x.
(Solved)
The equation of a curve is given by y=x3 + 4x2 - 3x.
a) Find the value of y when x=1
b) Determine the stationary points of the curve.
c) Find the equation of the normal to the curve at =1 .
Date posted:
November 8, 2019
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Answers (1)
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(a) The ratio of Juma’s and Akinyi’s earnings was 5:3. Juma’s earnings rose to Ksh 8 400 after an increase of 12%. Calculate the percentage...
(Solved)
(a) The ratio of Juma’s and Akinyi’s earnings was 5:3. Juma’s earnings rose to Ksh 8 400 after an increase of 12%. Calculate the percentage increase in Akinyi’s earnings given that the sum of their earnings was Ksh. 14 100.
(b) Juma and Akinyi contributed all the new earnings to buy maize at Ksh 1 175 per bag. The maize was then sold at ksh 1 762.50 per bag. The two shared all the money from the sales of the maize in the ratio of their contributions. Calculate the amount that Akinyi got.
Date posted:
November 8, 2019
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Answers (1)
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The figure below represent two neighboring plots with QR as their common boundary.
Find to 2 decimal places,
i. The length of boundary PQ.
ii. The length of...
(Solved)
The figure below represent two neighboring plots with QR as their common boundary.
Find to 2 decimal places,
i. The length of boundary PQ.
ii. The length of boundary RS.
iii. The angle RQS.
iv. Area of triangle QRS.
Date posted:
November 8, 2019
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Answers (1)
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On the grid provided, draw the square whose vertices are A(6, -2), B(7, -2), C(7, -1) and D(6, -1).
(Solved)
On the grid provided, draw the square whose vertices are A(6, -2), B(7, -2), C(7, -1) and D(6, -1).
On the same grid, draw:
(i) A’B’C’D’ the image of ABCD, under an enlargement scale factor 3 centre (9, -4)
(ii) A"B”C”D” the image of A’B’C’D’ under a reflection in the line x = 0
(iii) A”’B’”C’”D’” the image of A”B”C”D” under a rotation of +90° about (0,0).
Date posted:
November 8, 2019
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Answers (1)
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Complete the table below for the function y = 3x2 - 2x + 5
(Solved)
a. Complete the table below for the function y = 3x2 - 2x + 5
b. Use the completed table and mid ordinate rule to estimate the area bounded by the curve, the x - axis
and the lines x = -3 and x = 5
c. Use calculus to calculate the actual area in part b above.
d. Calculate to 3 significant figure the percentage error when mid ordinate rule is used to estimate the
area.
Date posted:
November 8, 2019
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Answers (1)