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- The table below shows the rate at which income tax was charged for all income earned in the year 2012
a.A tax of ksh1200 was deducted...(Solved)
The table below shows the rate at which income tax was charged for all income earned in the year 2012
a.A tax of ksh1200 was deducted from Mr. Rono’s monthly salary. He was entitled to a personal relief of ksh 1064 per month. Calculate his monthly
i.Gross tax in k£.
ii.Taxable income in ksh
b.He was entitled to a house allowance of ksh 3000 and medical allowances of ksh 2000 calculate his monthly basic salary in ksh.
c.Every month the following deductions were made from his salary electricity bill of sh 680, water bill of sh 460, co-operative shares of sh1250 and loan repayment of sh 2000 calculate his net salary in ksh.
Date posted: September 24, 2019. Answers (1)
- At the Kenya medical research institute a new drug is being tried. A sample of eighty sick rats is being used. Sixty of these rats...(Solved)
At the Kenya medical research institute a new drug is being tried. A sample of eighty sick rats is being used. Sixty of these rats are given drugs and the rest are not. A half of those given drugs are put on a high calorie diet while three quarters of those who are not given drugs were put on the same diet. For the ones who are treated and put on a high calorie diet the probability of dying is 0.1 and 0.2 if not put on a high calorie diet. For the ones who are not treated and put on a high calorie diet the probability of dying is 0.4 and 0.6 if not put on a high calorie diet.
a.Draw a tree diagram to represent the above information.
b.Calculate the probability that a rat picked at random
i.Is given drugs, put on a high calorie diet and will die
ii.Is given drugs and will die .
iii.Will die
iv.Is not given drugs and will not die
Date posted: September 24, 2019. Answers (1)
- 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. Answers (1)
- In order to ensure optimal health a lab technician needs to feed the rabbits on a daily diet containing a minimum of 24grams of fat,...(Solved)
In order to ensure optimal health a lab technician needs to feed the rabbits on a daily diet containing a minimum of 24grams of fat, 36grams of carbohydrates and 4grams of protein. Rather than order rabbit food that is custom blended it is cheaper to order food X and food Y and blend them for an optimal use. One packet of food X contains 6grams of fat ,12 grams of carbohydrates ,2 grams of proteins and costs Sh 50.While one packet of food Y contains 12grams of fat,12 grams of carbohydrates,1 gram of proteins and it costs Sh 60
a)Form all the inequalities to represent the information above.
b)Graph the inequalities
c)Determine the number of packets of type X and Y feed that should be used for optimal health at minimum cost.
Date posted: September 24, 2019. Answers (1)
- 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. Answers (1)
- Solve the equation 9tan2theta + tan theta =10(Solved)
Solve the equation 9tan2theta + tan theta =10 for 00 = less than or = 3600
Date posted: September 24, 2019. Answers (1)
- 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. Answers (1)
- The fourth term of a geometric sequence is 48 and the seventh term is 384.Find the common ratio and the ninth term of the sequence.(Solved)
The fourth term of a geometric sequence is 48 and the seventh term is 384.Find the common ratio and the ninth term of the sequence.
Date posted: September 24, 2019. Answers (1)
- Make C the subject of a formula in the equation(Solved)
Make C the subject of a formula in the equation
Date posted: September 24, 2019. Answers (1)
- Calculate the standard deviation of the given data
3, 7, 2, 1, 8, 9, 13, 6, 4, 7(Solved)
Calculate the standard deviation of the given data
3, 7, 2, 1, 8, 9, 13, 6, 4, 7
Date posted: September 24, 2019. Answers (1)
- Estimate the area enclosed by the curve and the x axis from x =0 to x = 2 using mid ordinate rule with four...(Solved)
Estimate the area enclosed by the curve 
and the x axis from x =0 to x = 2 using mid ordinate rule with four strips. ( Leave your answer as a fraction)
Date posted: September 24, 2019. Answers (1)
- 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. Answers (1)
- A point C divides the line AB with coordinates A (3, 4 ,-5) , B (-1,10,7) externally in the ratio 5 : 3. Find...(Solved)
A point C divides the line AB with coordinates A (3, 4 ,-5) , B (-1,10,7) externally in the ratio 5 : 3. Find the coordinates of C
Date posted: September 24, 2019. Answers (1)
- 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. Answers (1)
- Find the centre and radius of a circle whose equation is 2x2+2y2-12y-14 = 0(Solved)
Find the centre and radius of a circle whose equation is 2x2+2y2-12y-14 = 0
Date posted: September 24, 2019. Answers (1)
- 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. Answers (1)
- a. Expand and simplify
b. Hence evaluate leaving your answer in surd form(Solved)
a. Expand and simplify 
b. Hence evaluate 
leaving your answer in surd form
Date posted: September 24, 2019. Answers (1)
- Use logarithm tables to solve(Solved)
Use logarithm tables to solve
Date posted: September 24, 2019. Answers (1)
- 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. Answers (1)
- A company manufactures two types of toy machines x and y.
Type x machines must not be more than 20 and type y machine must be...(Solved)
A company manufactures two types of toy machines x and y.
Type x machines must not be more than 20 and type y machine must be greater than 10.The cost of four type x machines and three type y machines should not exceed sh 240 while the cost of five type x machines and nine type y machines should not be less than sh 450.
(a)Write down all the inequalities that fulfills the above conditions.
(b)Draw the graph to represent the above information by shading unwanted.
(c)If the company makes a profit of Sh 100 on the sale of machine x and Sh 200 on the sale of machine y.
Find the number of machine x and y that the company should sell in order to realize maximum and find the maximum profit.
Date posted: September 23, 2019. Answers (1)