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Kamau bought a brand new motorbike for sh75000. Its depreciation rate is estimated at 12% per annum of its value at the beginning of each...
(Solved)
Kamau bought a brand new motorbike for sh75000. Its depreciation rate is estimated at 12% per annum of its value at the beginning of each of the first two years and 10% per annum thereafter. What will be the value of the motorbike at the end of five years.
Date posted:
November 18, 2019
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Answers (1)
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Find the value of x given that log(12 - 2x) - 1=log x - log 15.
(Solved)
Find the value of x given that log(12 − 2x) − 1=log x − log 15.
Date posted:
November 18, 2019
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Answers (1)
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Given that vectors OA= -8i + 2j and OB=6i + 4j and that T divides AB in the ratio 5:3, find TB in terms of...
(Solved)
Given that vectors OA= −8i + 2j and OB=6i + 4j and that T divides AB in the ratio 5:3, find TB in terms of i and j.
Date posted:
November 18, 2019
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Answers (1)
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Cherop's farm is in the shape of a trapezium ABCD shown below. A borehole is to be drilled in the farm such that it is...
(Solved)
Cherop's farm is in the shape of a trapezium ABCD shown below. A borehole is to be drilled in the farm such that it is closer to AB than to side AD and closer to corner C than to corner D. Shade the region of all points where the borehole can be drilled.

Date posted:
November 18, 2019
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Answers (1)
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Without using a calculator or mathematical tables simplify
(Solved)
Without using a calculator or mathematical tables simplify

Date posted:
November 18, 2019
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Answers (1)
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Given that the column vectors
(a) Express a as column vector and hence calculate its magnitude.
(b) Given that the midpoints of PQ is (-3,1) and Q(7,5),...
(Solved)
Given that the column vectors

(a) Express a as column vector and hence calculate its magnitude.
(b) Given that the midpoints of PQ is (−3,1) and Q(7,5), obtain the co−ordinates of P.
(c) A translation T(2 1) maps triangle ABC onto triangle A′B′C′. Given the co–ordinates A(2,3), B(2,5) and C(4,4). Find the co-ordinates of A′B′C′.
Date posted:
November 18, 2019
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Answers (1)
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Given that log 5=0.6990 and log 7=0.8451, find log 24.5
(Solved)
Given that log 5=0.6990 and log 7=0.8451, find log 24.5
Date posted:
November 18, 2019
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Answers (1)
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Determine the inequalities that define the unshaded region in the diagram below.
(Solved)
Determine the inequalities that define the unshaded region in the diagram below.

Date posted:
November 18, 2019
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Answers (1)
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The mean of the numbers m, 8m + 1, 17 and 20 is 14. Calculate the value of m.
(Solved)
The mean of the numbers m, 8m + 1, 17 and 20 is 14. Calculate the value of m.
Date posted:
November 18, 2019
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Answers (1)
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Given that 35x -2y=243 and 32x-y=3, calculate the values of x and y.
(Solved)
Given that 35x −2y=243 and 32x−y=3, calculate the values of x and y.
Date posted:
November 18, 2019
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Answers (1)
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Three automatic electric bells A B and C ring at intervals of 20 minutes, 30 minutes and 50 minutes respectively. If the bells ring together...
(Solved)
Three automatic electric bells A B and C ring at intervals of 20 minutes, 30 minutes and 50 minutes respectively. If the bells ring together at 8.20 am, at what time will they ring simultaneously again for the first time .
Date posted:
November 18, 2019
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Answers (1)
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Use logarithm table to evaluate
(Solved)
Use logarithm table to evaluate

Date posted:
November 18, 2019
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Answers (1)
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The table below shows the marks scored by forty form 4 students in a mathematics class
a) Using an assumed mean score of 55, calculate the...
(Solved)
The table below shows the marks scored by forty form 4 students in a mathematics class

a) Using an assumed mean score of 55, calculate the mean of the data
b) Calculate the lower quartile
c) On the grid provided, draw the cumulative frequency curve to represent the above distribution
d) From the graph estimate
i) The 5th decile
ii) Range of marks of the middle 80% of the students
Date posted:
November 15, 2019
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Answers (1)
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The figure below is a cuboid in which PQ = 8cm, QR =12cm and CR = 4cm. M and N are midpoints of QR and...
(Solved)
The figure below is a cuboid in which PQ = 8cm, QR =12cm and CR = 4cm. M and N are midpoints of QR and AD respectively

a) Find the length of
i) SM
ii) CM
b) Calculate the angle the line:
i) DM makes with the plane PQRS
ii) DM makes with the plane BQRC
iii) Angle ABM
Date posted:
November 15, 2019
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Answers (1)
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The income tax rates in a certain year are as shown below.
Omar pays sh. 4000 as PAYE per month. He has a monthly house allowance...
(Solved)
The income tax rates in a certain year are as shown below.

Omar pays sh. 4000 as PAYE per month. He has a monthly house allowance of Ksh. 10800 and is entitled to a personal relief of Ksh. 1200 per month. Determine
i) His gross tax per annum in Ksh.
ii) His taxable income in K£ per annum
iii) His basic salary in Ksh. Per month
iv) His net salary per month
Date posted:
November 15, 2019
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Answers (1)
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Draw a line AB=4cm, P is a variable point in the plane of the paper, above AB, such that angle APB=60° and the area of...
(Solved)
Draw a line AB=4cm, P is a variable point in the plane of the paper, above AB, such that angle APB=60° and the area of triangle APB = 6cm2. Using a ruler and a pair of compasses only find the locus of P.
Date posted:
November 15, 2019
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Answers (1)
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Solve for x in the equation
2Sin2x-1= Cos2x+ Sin x where 00= x = 3600.
(Solved)
Solve for x in the equation
2Sin2x-1= Cos2x+ Sin x where 00≤ x ≤ 3600.
Date posted:
November 15, 2019
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Answers (1)
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The coordinate of the end point of the diameter of a circle are A(3, -2) and B(5, 1). Find the equation of a circle in...
(Solved)
The coordinate of the end point of the diameter of a circle are A(3, -2) and B(5, 1). Find the equation of a circle in the form ax2 + by2+ cx + dy + e = 0
Date posted:
November 15, 2019
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Answers (1)
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Solve for x
(Log3x)2- 1/2Log3x=3/2.
(Solved)
Solve for x
(Log3x)2- 1/2Log3x=3/2.
Date posted:
November 15, 2019
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Answers (1)
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Two places R and T are on the same circle of latitude North of the equator. The longitude of R is 118°W and longitude of...
(Solved)
Two places R and T are on the same circle of latitude North of the equator. The longitude of R is 118°W and longitude of T is 133°E. The shortest distance between R and T measured along the circle of latitude is 5422 nautical miles. Find to the nearest degree the latitude on which R and T lie.
Date posted:
November 15, 2019
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Answers (1)