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Mrs. Wekesa paid Kshs. 12500 for a wrist watch after the shopkeeper gave her a discount of 2%. If the shopkeeper made a profit of...
(Solved)
Mrs. Wekesa paid Kshs. 12500 for a wrist watch after the shopkeeper gave her a discount of 2%. If the shopkeeper made a profit of 20% calculate the price the shopkeeper bought from the manufacturer.
Date posted:
October 7, 2019
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Answers (1)
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Solve for x in
(4/9)x x (8)1-x = 486
(Solved)
Solve for x in
(4/9)x x (8)1-x = 486
Date posted:
October 7, 2019
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Answers (1)
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Use the exchange rates below to answer this question
Buying selling
...
(Solved)
Use the exchange rates below to answer this question
Buying selling
1 US dollar 63.00 63.20
1 UK£ 125.30 125.95
A tourist arriving in Kenya from Britain had 9600 UK sterling pounds (£). He converted the pounds to Kenya shillings at a commission of 5%. While in Kenya he spent ¾ of this money. He changed the balance to US dollars after his stay. If he was not charged any commission for this last transaction, calculate to the nearest US dollars the amount he received.
Date posted:
October 7, 2019
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Answers (1)
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The scale of a map is given as 1:50,000
Find the actual area in hectares of a region represented by a triangle of sides 6cm by...
(Solved)
The scale of a map is given as 1:50,000
Find the actual area in hectares of a region represented by a triangle of sides 6cm by 7cm by 8cm (give your answer to the nearest whole number).
Date posted:
October 7, 2019
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Answers (1)
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3 pens and 5 exercise books cost Shs. 111. 4 pens and 3 exercise books cost Kshs 18 less.
Determine the cost of each item
(Solved)
3 pens and 5 exercise books cost Shs. 111. 4 pens and 3 exercise books cost Kshs 18 less.
Determine the cost of each item
Date posted:
October 7, 2019
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Answers (1)
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Evaluate 5 ½ -1 1/7 (1 1/5 + 9/10 ) + 1/3 of(2/3 ÷5/6)
(Solved)
Evaluate 5 ½ -1 1/7 (1 1/5 + 9/10 ) + 1/3 of(2/3 ÷5/6)
Date posted:
October 7, 2019
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Answers (1)
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Complete the table below for y=2 sin x and y= cos ½ x
(Solved)
Complete the table below for y=2 sin x and y= cos ½ x
Date posted:
September 30, 2019
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Answers (1)
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A group of people planned to contribute sh.2000 000 to start a business. However before the contributions were made the group disintegrated and 40 members...
(Solved)
A group of people planned to contribute sh.2000 000 to start a business. However before the contributions were made the group disintegrated and 40 members pulled out. A a result each of the remaining members were to contribute sh. 2500 more/
(a) Find the original number of members in the group.
(b) After each member contributing half of the expected amount the members opted to get a bank
That would offset ¼ of the remaining amount. How much would each member contribute after
he bank loan.
(c) Twenty new members joined the group just before the business started. As a result the old
Members were to be refunded some money. How much was the refund?
Date posted:
September 30, 2019
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Answers (1)
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Hellen’s earnings are as follows:
Basic salary sh. 38000 per month
House allowance sh. 14000 per months
Travelling allowance sh.8500 per month and
Medical allowance Ksh.3300 per month.
She is...
(Solved)
Hellen’s earnings are as follows:
Basic salary sh. 38000 per month
House allowance sh. 14000 per months
Travelling allowance sh.8500 per month and
Medical allowance Ksh.3300 per month.
She is given a personal relief of Ksh. 12672
The table for payable tax is shown below
Income in K£ p.a Payable tax rate in Kshs per K£
0-6000 2
6001-12000 3
12001-18000 4
18001 -24000 5
24001-30000 6
30001-36000 7
36001-42000 8
42001-48000 9
Over 48000 10
Calculate
(a) (i) Hellen’s taxable income in K£ p.a
(ii) Her P.A.Y.E
(b) Hellen is deducted the following items per month
NHIF Ksh.320
Cooperative shares Ksh.2000
Loan repayment Ksh5000
Determine her net salary per month
Date posted:
September 30, 2019
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Answers (1)
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Position vectors A and B are 3i+2j+k and –i+3j+4k respectively. Determine the magnitude of AB.
(Solved)
Position vectors A and B are 3i+2j+k and –i+3j+4k respectively. Determine the magnitude of AB.
Date posted:
September 30, 2019
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Answers (1)
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The first term of a geometric sequence is 16 and the fifth term is 81 find the sum of the first 10 terms giving your...
(Solved)
The first term of a geometric sequence is 16 and the fifth term is 81 find the sum of the first 10 terms giving your answer correct to 2 decimal places.
Date posted:
September 30, 2019
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Answers (1)
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The cost of water is partly constant and partly varies as the number of units consumed. A family that use 10 units pays sh. 320...
(Solved)
The cost of water is partly constant and partly varies as the number of units consumed. A family that use 10 units pays sh. 320 and a family that uses 12 units uses sh. 370 for water. Calculate the amount paid by a family that uses 20 units of water in a month.
Date posted:
September 30, 2019
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Answers (1)
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Three pegs R,S and T are on the corners of a triangular plain field. R is 300m from S on a bearing of 300o and...
(Solved)
Three pegs R,S and T are on the corners of a triangular plain field. R is 300m from S on a bearing of 300o and T is 450 m directly south of R
(a) Using a scale of 1:6000 draw a diagram to show the positions of the pegs
(b) Use the scale drawing to determine:
(i) The distance between T and S in metres.
(ii) The bearing of T from S
(c) Find the area of the field, in hectares correct to one decimal place
Date posted:
September 30, 2019
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Answers (1)
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Two towns A and B are 360km apart. Msamaria left A at 8.15am and travelled towards B at an average speed of 90km/hr. After 21/3hours...
(Solved)
Two towns A and B are 360km apart. Msamaria left A at 8.15am and travelled towards B at an average speed of 90km/hr. After 21/3hours a minibus left B towards A at an average speed of 110km/hr
(a)(i) At what time did the two vehicles meet?
(ii) How far from A did they meet?
(b) A motorist started from his home at 10.30am on the same day towards B at a speed of 100km/hr and arrived at B at the same time as Msamaria. Calculate the distance from A to his house.
Date posted:
September 30, 2019
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Answers (1)
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The figure below shows a cone with water filled as shown below.
(a) Calculate the volume of water in the vessel.
(b) Metal hemisphere is completely submerged...
(Solved)
The figure below shows a cone with water filled as shown below.
(a) Calculate the volume of water in the vessel.
(b) Metal hemisphere is completely submerged in the water, causing the water level to rise by 6cm. calculate
(i) The radius of the new water surface.
(iii) The diameter of the hemisphere.
Date posted:
September 30, 2019
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Answers (1)
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Use a ruler and compasses only in this question.
(a) Construct triangle ABC such that AB=6cm, AC=8.5cm and 0
(b) Draw a bisector of line AB from...
(Solved)
Use a ruler and compasses only in this question.
(a) Construct triangle ABC such that AB=6cm, AC=8.5cm and 0
(b) Draw a bisector of line AB from M on AB to meet BC at N.
(c) Determine the areas;
(i) MBN
(ii) AM NC
(d) Express the ratio of the area MBN to AMNC in the form 1: n
Date posted:
September 30, 2019
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Answers (1)
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A swimming pool 30m long is 1m deep at its shallow end and 4m deep at its deep end. The pool is 4m wide
(a) Calculate...
(Solved)
A swimming pool 30m long is 1m deep at its shallow end and 4m deep at its deep end. The pool is 4m wide
(a) Calculate the volume of water in cubic metres when the pool is full.
(b) A circular pipe of diameter 14cm is sued to empty the swimming pool. Water flows through the
pipe at a speed of 5m per second. Calculate the time it would take to the nearest minute to empty
the tank.
Date posted:
September 30, 2019
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Answers (1)
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A solid cylinder with radius 7cm and height 5cm is melted down and recast into a spherical ball. Calculate to 2 decimal place the radius...
(Solved)
A solid cylinder with radius 7cm and height 5cm is melted down and recast into a spherical ball. Calculate to 2 decimal place the radius of the ball.
Date posted:
September 30, 2019
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Answers (1)
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A Canadian tourists came to Kenya with sterling pounds 5000 which he exchanged to Kenyan shillings. He spent three quarters of the money and exchanged...
(Solved)
A Canadian tourists came to Kenya with sterling pounds 5000 which he exchanged to Kenyan shillings. He spent three quarters of the money and exchanged the rest to sterling pounds on leaving. How much to the nearest pound did he receive given the exchange rate?
Buying selling
119.72 119.86
Date posted:
September 30, 2019
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Answers (1)
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A cow is 4 years 8 months older than a heifer. The product of their ages is 8 years. Determine the age
of the cow and...
(Solved)
A cow is 4 years 8 months older than a heifer. The product of their ages is 8 years. Determine the age
of the cow and that of the heifer.
Date posted:
September 30, 2019
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Answers (1)