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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)
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A particle is moving with an acceleration of (t – 4) m/s2 where t is time in seconds. When t is 2 seconds the velocity...
(Solved)
A particle is moving with an acceleration of (t – 4) m/s2 where t is time in seconds. When t is 2 seconds the velocity is 4m/s and when t is 0 the displacement is 0m
a.Express velocity in terms of t
b.Find the displacement of the particle during the third second.
c.Calculate the interval of time when the velocity was not more than 4m/s
d.Calculate the minimum velocity.
Date posted:
September 24, 2019
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Answers (1)
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The diagram below shows the frustum of a rectangular based pyramid. The base ABCD is a rectangle of side 24cm by 12cm.The top EFGH is...
(Solved)
The diagram below shows the frustum of a rectangular based pyramid. The base ABCD is a rectangle of side 24cm by 12cm.The top EFGH is a rectangle of side 14cm by 7cm.Each of the slanting edges of the frustum is 13cm.

Determine the
a.altitude of the frustum
b.angle between the line AG and the base ABCD
c.Volume of the frustum
Date posted:
September 24, 2019
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Answers (1)
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The volume V of a cylinder varies jointly as the square of the radius R and the height H. If the radius is increased by...
(Solved)
The volume V of a cylinder varies jointly as the square of the radius R and the height H. If the radius is increased by 10% and the height decreased by 20% find the percentage change in the volume.
Date posted:
September 24, 2019
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Answers (1)
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The masses of two objects to the nearest 100g are 51kg, and 43kg find the percentage error in the difference of their masses.
(Solved)
The masses of two objects to the nearest 100g are 51kg, and 43kg find the percentage error in the difference of their masses.
Date posted:
September 24, 2019
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Answers (1)
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A and B are points on latitude 700N.Their longitudes are 620W and 1180E respectively. Find the shortest distance between A and B in nautical miles.
(Solved)
A and B are points on latitude 700N.Their longitudes are 620W and 1180E respectively. Find the shortest distance between A and B in nautical miles.
Date posted:
September 24, 2019
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Answers (1)
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Peter invested a certain amount of money in a financial institution at compound interest compounded quarterly. At the end of the third year it had...
(Solved)
Peter invested a certain amount of money in a financial institution at compound interest compounded quarterly. At the end of the third year it had amounted to sh 18980 and by the end of the fifth year it had amounted to sh 20530. Find the rate of interest
Date posted:
September 24, 2019
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Answers (1)
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A mixture is made by mixing 4kg of long grain rice costing sh 60 per kg with 9kg of short grain rice costing sh 50...
(Solved)
A mixture is made by mixing 4kg of long grain rice costing sh 60 per kg with 9kg of short grain rice costing sh 50 per kg. How many kilograms of long grain rice should be added to the mixture so that the resulting mixture can be sold at sh 66 per kg and a profit of 20% is made.
Date posted:
September 24, 2019
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Answers (1)
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A particle starts from rest at a point O and moves along a straight line coming to rest at another point B.During the motion...
(Solved)
A particle starts from rest at a point O and moves along a straight line coming to rest at another point B.During the motion its velocity V meters per second after t seconds is given by V=9t2 – 2t3.
Calculate the:
(a)time taken for the particle to reach point B.
(b)time taken for the particle to attain maximum velocity.
(c)maximum velocity attained.
(d)the distance covered during the first 3 seconds.
Date posted:
September 23, 2019
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Answers (1)
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The figure below shows a right pyramid with a square block at its base. The sides of the base are 40cm and the height of...
(Solved)
The figure below shows a right pyramid with a square block at its base. The sides of the base are 40cm and the height of the base is 30cm.M is the midpoint of WX such that VM=29cm.

Calculate:
(a)The vertical height of vertex V from the plane ABCD.
(b)The angle between plane of VWX and VyZ.
(c)The projection of the line yV to the plane wxyz.
(d)The angle between the planes WXCD and ABCD.
Date posted:
September 23, 2019
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Answers (1)
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Wekesa and Ndinda working together can cultivate a piece of land in 6 days. Wekesa alone can complete the work in 15 days. After the...
(Solved)
Wekesa and Ndinda working together can cultivate a piece of land in 6 days. Wekesa alone can complete the work in 15 days. After the two had worked for 4 days Wekesa withdrew the services. Find the time taken by Ndinda to complete the remaining work.
Date posted:
September 23, 2019
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Answers (1)
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Find the compound interest on Ksh. 21,000 in 3 years at a Rate of 20% P.a. Compounded semi annually.
(Solved)
Find the compound interest on Ksh. 21,000 in 3 years at a Rate of 20% P.a. Compounded semi annually.
Date posted:
September 23, 2019
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Answers (1)
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A rectangle has a length of 14.6cm and a width of 6.70 cm. Find the percentage Error in calculating the area of the rectangle.
(Solved)
A rectangle has a length of 14.6cm and a width of 6.70 cm. Find the percentage Error in calculating the area of the rectangle.
Date posted:
September 23, 2019
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Answers (1)
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The Nyamira Express company runs a fleet of two types of buses operating between
Nairobi and Kisii. Type A bus has a capacity of 52...
(Solved)
The Nyamira Express company runs a fleet of two types of buses operating between
Nairobi and Kisii. Type A bus has a capacity of 52 passengers and 200kg of luggage.
Type B carries 32 passengers and 300kg of luggage. On a certain day, there were 500
passengers with 3500kg of luggage to be transported. The company could only use a
maximum of 15 buses altogether.
a)If the company uses x buses of type A and y buses of type B. Write down all the
inequalities satisfied by the above conditions.
b)Draw the inequalities representing the above information
c)If the cost of running one bus of type A is sh.7200 and that of type B is sh.6000,
find the minimum cost of running the buses.
Date posted:
September 23, 2019
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Answers (1)