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Find the inverse of the matrix hence use the matrix method to solve the simultaneous equations.
2x -2y =6
3x + y = 5
(Solved)
Find the inverse of the matrix
hence use the matrix method to solve the simultaneous equations.
2x -2y =6
3x + y = 5
Date posted:
September 25, 2019
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Answers (1)
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Solve the simultaneous equation.
log3(2x+y) = 2
log2(3x+4y) = 4
(Solved)
Solve the simultaneous equation.
log3(2x+y) = 2
log2(3x+4y) = 4
Date posted:
September 25, 2019
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Answers (1)
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y varies inversely as the square of x. The difference between the value of y when x = 6 and when x = 10...
(Solved)
y varies inversely as the square of x. The difference between the value of y when x = 6 and when x = 10 is 16. Find the law connecting x and y.
Date posted:
September 25, 2019
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Answers (1)
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A rectangular plot measures 31.4m by 28.3m. What is the percentage error in getting it’s area.
(Solved)
A rectangular plot measures 31.4m by 28.3m. What is the percentage error in getting it’s area.
Date posted:
September 25, 2019
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Answers (1)
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Evaluate using logarithms.
(Solved)
Evaluate using logarithms.

Date posted:
September 25, 2019
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Answers (1)
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In a mathematics test, the probability of 3 students, Kamau, Otieno and Mwala passing are ?, ¾ and ? respectively
(a)Draw a tree diagram to represent...
(Solved)
In a mathematics test, the probability of 3 students, Kamau, Otieno and Mwala passing are ⅔, ¾ and ⅚ respectively
(a)Draw a tree diagram to represent this information
(b)Use the tree diagram to find the probability that:
(i)All the three students will fail
(ii)At least two students will pass.
(iii)Only one student will pass
Date posted:
September 24, 2019
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Answers (1)
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The table below shows the income tax rates in Kenya.
Income in K£ per month Rate in Ksh / K£
1 - 325 ...
(Solved)
The table below shows the income tax rates in Kenya.
Income in K£ per month Rate in Ksh / K£
1 - 325 2
326 - 975 3
976 - 1300 5
1301 - 1625 6
Over 1625 7.5
(a)Mr. Sigei is a public servant who lives in a government house and pays a nominal rent of Ksh. 1220 per month. He earns a basic salary of Ksh. 24,800 and taxable allowances of Ksh. 13,380 per month. He is entitled to a monthly tax relief of Ksh. 1120. Calculate his monthly
i)Taxable income in K£.
ii)Gross tax.
iii)Tax due
(b)Apart from income tax, the following monthly deductions are made from his salary.
i) HELB loan repayment Ksh. 2400
ii) NHIF Ksh 320
iii) 2% basic salary as union dues.
Calculate Mr. Sigei’s monthly net salary.
Date posted:
September 24, 2019
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Answers (1)
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A farmer bought a machine at a current price of Ksh 224,000. If the depreciation rate is 5% in every 3 months. Calculate the sum...
(Solved)
A farmer bought a machine at a current price of Ksh 224,000. If the depreciation rate is 5% in every 3 months. Calculate the sum of its value in 3 years ago and 3 years’ time.
Date posted:
September 24, 2019
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Answers (1)
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Using a ruler and a pair of compass only;
a)Construct a triangle PQR such that PR=7.5cm, PQ=3.0cm and
(Solved)
Using a ruler and a pair of compass only;
a)Construct a triangle PQR such that PR=7.5cm, PQ=3.0cm and b)Construct the locus T of points which are equidistant from a point L and passes through the vertices P, Q and R.
c)Locate the locus S on T such that it is equidistant from sides PQ and QR of the triangle.
d)Locate the locus of points G enclosed by PQ and QS such that QG <2cm
e)Measure SL.
Date posted:
September 24, 2019
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Answers (1)
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OPQ is a triangle in which OP=p and OQ=q. X is a point on OP such that OP: XP = 5: 2 and Y is...
(Solved)
OPQ is a triangle in which OP=p and OQ=q. X is a point on OP such that OP: XP = 5: 2 and Y is another point on PQ such that PY: YQ = 1: 2. Lines OY and XQ intersect at T.
a) Express the following vectors in terms of p and q
(i)PQ
(ii)OY
(iii)QX
(b)If OT = k OY and QT = h QX express OT in two different ways. Hence or otherwise find the values of h and k.
(c) Determine the ratio OT: TY.
Date posted:
September 24, 2019
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Answers (1)
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The average of the first and fourth terms of a GP is 185. Given that the first term is 27, find the common ratio.
(Solved)
The average of the first and fourth terms of a GP is 185. Given that the first term is 27, find the common ratio.
Date posted:
September 24, 2019
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Answers (1)
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Solve for x in log(2x + 4) - log(x-1) = 3log 2.
(Solved)
Solve for x in log(2x + 4) - log(x-1) = 3log 2.
Date posted:
September 24, 2019
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Answers (1)
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The cost of maize flour and millet flour is Kshs 44 and Kshs 56 respectively. Calculate the ratio in which they were mixed if a...
(Solved)
The cost of maize flour and millet flour is Kshs 44 and Kshs 56 respectively. Calculate the ratio in which they were mixed if a profit of 20% was made by selling the mixture at Kshs. 54.
Date posted:
September 24, 2019
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Answers (1)
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Given the expression 9.7 ÷ 3.7, find to four significant figures the percentage error in its quotient.
(Solved)
Given the expression 9.7 ÷ 3.7, find to four significant figures the percentage error in its quotient.
Date posted:
September 24, 2019
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Answers (1)
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a)Using trapezium rule estimate the area enclosed by the curve y = -x2, the x-axis and the lines x = 5 and x = 2,...
(Solved)
a)Using trapezium rule estimate the area enclosed by the curve y = -x2, the x-axis and the lines x = 5 and x = 2, using 7 ordinates.
(b) Find the exact area.
(c) Find the percentage error in using trapezium rule.
(d) Estimate the area using mid-ordinate rule with six strips
Date posted:
September 24, 2019
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Answers (1)
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Mrs. Muta earns K£ 12000 p.a. and is housed by the employer at a nominal rent of shs. 1200 p.m. She is entitled to a...
(Solved)
Mrs. Muta earns K£ 12000 p.a. and is housed by the employer at a nominal rent of shs. 1200 p.m. She is entitled to a personal relief of K£ 1320 p.a. and a premium relief of 10% on her insuarance premium of K£ 800 p.a. or a maximum of shs. 200 p.m. The housing benefit is 15% of the salary.

Calculate;
(a)Net tax p.a.
(b)Other deductions include;
W.C.P.S shs. 600 p.m.
NHIF shs. 500 p.m.
Calculate her net pay per month.
Date posted:
September 24, 2019
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Answers (1)
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Two brands of coffee Arabica and Robusta cost shs. 4700 and shs. 4200 per kilogram respectively, are mixed to produce a blend that costs shs....
(Solved)
Two brands of coffee Arabica and Robusta cost shs. 4700 and shs. 4200 per kilogram respectively, are mixed to produce a blend that costs shs. 4600 per kilogram. Find the ratio of the mixture.
Date posted:
September 24, 2019
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Answers (1)
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The position vector OA = - 3a i + b j, OB = 6a i + 4b j and OC = 15a i + 7b...
(Solved)
The position vector OA = - 3a i + b j, OB = 6a i + 4b j and OC = 15a i + 7b j, where a and b are scalars. Find in column form;
(i) AB
(ii) AC
Hence show that A,B and C are collinear.
Date posted:
September 24, 2019
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Answers (1)
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Given Log m = x and log n = y, find x and y if Log m2 n = 4 and Log mn3 = 7
(Solved)
Given Log m = x and log n = y, find x and y if Log m2 n = 4 and Log mn3 = 7
Date posted:
September 24, 2019
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Answers (1)
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The figure below shows the graph of Log P against Log Q.
Given that P = aQn , find the value of a and n
(Solved)
The figure below shows the graph of Log P against Log Q.

Given that P = aQn , find the value of a and n
Date posted:
September 24, 2019
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Answers (1)