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- Use the taxation rates table below to answer the questions that follow.
A civil servant is entitled to a monthly personal relief of Ksh. 3000 and...(Solved)
Use the taxation rates table below to answer the questions that follow.
A civil servant is entitled to a monthly personal relief of Ksh. 3000 and her tax (PAYE) is ksh. 9000 per month. She is deducted NHIF ksh. 350 per month. WCPS ksh. 800 and co-op shares ksh. 1200 per month. Calculate:
a)The civil servant’s total deduction per month.
b)Total tax per month.
c)The civil servant’s annual gross salary
d)The civil servant’s basic salary if her monthly house allowance and medical allowances are ksh.10000 and ksh. 2000 respectively.
Date posted: October 16, 2019. Answers (1)
- An electronics dealer in Wote town wishes to purchase radios and TV sets. He can buy at most 30 of both items. On average, a...(Solved)
An electronics dealer in Wote town wishes to purchase radios and TV sets. He can buy at most 30 of both items. On average, a radio and TV cost sh. 4000 and sh. 12000 respectively and he has sh. 240000 to spend. The number of TV sets should be at most twice the number of radios. He must buy more than 5 TV sets.
a)Form all inequalities to represent above information.
b)If the dealer makes a profit of sh.600 and sh.1000 per radio and TV set respectively, find the maximum possible profit.
Date posted: October 16, 2019. Answers (1)
- Complete the table below for y = sin 2x and y = (2x + 300) giving values to 2dp.(Solved)
Complete the table below for y = sin 2x and y = (2x + 300) giving values to 2dp.
Date posted: October 16, 2019. Answers (1)
- A married couple intends to have 3 children. They consult an expert who tells them that the probability of a male birth is 0.6.
a)Draw a...(Solved)
A married couple intends to have 3 children. They consult an expert who tells them that the probability of a male birth is 0.6.
a)Draw a tree diagram to represent this occurrence.
b)Find the probability that:
i) All the three children will be female.
ii) At least a male is born.
iii)At least 2 will be females.
Date posted: October 16, 2019. Answers (1)
- In the figure below ABCDE, AB = 2.5cm, AE = 10cm, ED = 5.2cm and DC = 6.9cm.
Construct the locus of points equidistant from CD...(Solved)
In the figure below ABCDE, AB = 2.5cm, AE = 10cm, ED = 5.2cm and DC = 6.9cm.
Construct the locus of points equidistant from CD and CB.
Date posted: October 16, 2019. Answers (1)
- Five people can build four huts in 28 days. Find the number of people working at the same rate that will build 10 similar huts...(Solved)
Five people can build four huts in 28 days. Find the number of people working at the same rate that will build 10 similar huts in 16 days.
Date posted: October 16, 2019. Answers (1)
- Find the inverse of hence solve the simultaneous equations.
2x + 5y = 34
x + 2y = 21(Solved)
Find the inverse of 
hence solve the simultaneous equations.
2x + 5y = 34
x + 2y = 21
Date posted: October 16, 2019. Answers (1)
- The first four terms of a GP are 81, m, n, 3. Find the values of m and n. (Solved)
The first four terms of a GP are 81, m, n, 3. Find the values of m and n.
Date posted: October 16, 2019. Answers (1)
- Find the standard deviation of the given data.(Solved)
Find the standard deviation of the given data.
Date posted: October 16, 2019. Answers (1)
- Evaluate(Solved)
Evaluate 
Date posted: October 16, 2019. Answers (1)
- If a = 3 i + 2j + 5k and b = i – j – k find |2a - 3b|(Solved)
If a = 3 i + 2j + 5k and b = i – j – k find |2a - 3b|
Date posted: October 16, 2019. Answers (1)
- Change the subject of f= to L(Solved)
Change the subject of f=
to L
Date posted: October 16, 2019. Answers (1)
- Find the equation of a normal to the curve y = 2x2 – 4x + 2 at point (3, 1)(Solved)
Find the equation of a normal to the curve y = 2x2 – 4x + 2 at point (3, 1)
Date posted: October 16, 2019. Answers (1)
- In the figure below ADE and AB are tangent to the circle at D and B respectively.
Angle DAB = 400 and angle CDE =...(Solved)
In the figure below ADE and AB are tangent to the circle at D and B respectively.
Angle DAB = 400 and angle CDE = 650
Giving a reason for your answers, find the size of:
a)ADB
b)ABC
Date posted: October 16, 2019. Answers (1)
- Find the value of x in log10 (2x - 1) + log10 3 – log10 (8x - 1)(Solved)
Find the value of x in log10 (2x - 1) + log10 3 – log10 (8x - 1)
Date posted: October 16, 2019. Answers (1)
- Two fruit juices A and B are mixed together. Juice A costs sh. 50 per litre and Juice B cost sh. 80 per litre. Find...(Solved)
Two fruit juices A and B are mixed together. Juice A costs sh. 50 per litre and Juice B cost sh. 80 per litre. Find the ratio of A and B in the mixture if the mixture costs sh. 59 per litre.
Date posted: October 16, 2019. Answers (1)
- State the centre and the radius of the given equation of a circle.
x2 – 6x + y2 + 10y + 25 = 0 (Solved)
State the centre and the radius of the given equation of a circle.
x2 – 6x + y2 + 10y + 25 = 0
Date posted: October 16, 2019. Answers (1)
- Write the expression below in surd form and rationalize the denominator.(Solved)
Write the expression below in surd form and rationalize the denominator.
Date posted: October 16, 2019. Answers (1)
- The displacement, S metres of a moving particle from point O, after t seconds is given by:
S = t3 – 5t2 + 3t + 10
a)Find...(Solved)
The displacement, S metres of a moving particle from point O, after t seconds is given by:
S = t3 – 5t2 + 3t + 10
a)Find S when t = 2
b)Determine:
i)The velocity of the particle when t = 5sec
ii)The value of t when the particles is momentarily at rest
c)Find the time, when the velocity of the particle is maximum.
Date posted: October 16, 2019. Answers (1)
- A trader bought 2 cows and 9 goats for a total of ksh. 98,200. If she had bought 3 cows and 4 goats,
she would...(Solved)
A trader bought 2 cows and 9 goats for a total of ksh. 98,200. If she had bought 3 cows and 4 goats,
she would have spent ksh. 2200 less
a)Form two equations to represent the above information.
b)Use matrix method to determine the cost of a cow and that of a goat.
c)The trader later sold the animals she had bought making a profit of 30% per cow and 40% per goat.
i)Calculate the total amount of money she received.
ii)Determine, correct to 4 significant figures the percentage profit the trader made from the sale of the animals.
Date posted: October 16, 2019. Answers (1)