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- The 2nd and the 5th terms of an arithmetic progression are 8 and 17 respectively, the 2nd, 10th and the 42nd terms of the...(Solved)
The 2nd and the 5th terms of an arithmetic progression are 8 and 17 respectively, the 2nd, 10th and the 42nd terms of the A.P form the first three terms of a geometric progression. Find.
a)The 1st term and the common difference of the A.P.
b)The first three terms of G.P and the 10th term of the G.P.
c)The sum of the first 10 terms of the G.P.
Date posted: September 21, 2019. Answers (1)
- Income rates for income earned was charged as follows
Income in Kshs. Per month Rates in Kshs. Per Ksh.20
1 - 8400 2
8401 - 18000 3
18001 - 30,000 4
30,001 - 36,000 5
36,001 - 48,000 6
48,001 and above 7
An employee earns a monthly salary of...(Solved)
Income rates for income earned was charged as follows
Income in Kshs. Per month Rates in Kshs. Per Ksh.20
1 - 8400 2
8401 - 18000 3
18001 - 30,000 4
30,001 - 36,000 5
36,001 - 48,000 6
48,001 and above 7
An employee earns a monthly salary of Ksh.19,200 and is housed by the institution and pays a nominal rent of Kshs.2000 per month. His house allowance is Ksh. 12,000 per month, transport allowance Ksh.1,300 and medical allowance, Ksh.2,300.He is entitled to a family relief of Ksh.1240 per month. Determine
a)i)His taxable income per month.
ii)Net tax
b)In addition the following deductions were made;NHIF Ksh.230,service charge kshs.100,loan repayment kshs.4000,co-operative share kshs.1200.Calculate his net salary per month
Date posted: September 21, 2019. Answers (1)
- Make k the subject of the formula.(Solved)
Make k the subject of the formula.
Date posted: September 21, 2019. Answers (1)
- A quantity k is partly constant and partly varies as M when k = 45, M=20 and when K = 87, M = 48
a)Find the...(Solved)
A quantity k is partly constant and partly varies as M when k = 45, M=20 and when K = 87, M = 48
a)Find the formula connect k and m
b)Find k when M = 36
Date posted: September 21, 2019. Answers (1)
- Rationalize the denominator fully and simplify, leaving your answer in surd form(Solved)
Rationalize the denominator fully and simplify, leaving your answer in surd form
Date posted: September 21, 2019. Answers (1)
- Without using logarithm tables or calculators, solve the equation.
Log(5x – 5) = log (x – 1) + 1 (Solved)
Without using logarithm tables or calculators, solve the equation.
Log(5x – 5) = log (x – 1) + 1
Date posted: September 21, 2019. Answers (1)
- The figure below shows a triangle ABC inscribed in a circle.AC = 10cm BC = 7cm and AB = 10cm.Find the radius of the circle(leave...(Solved)
The figure below shows a triangle ABC inscribed in a circle.AC = 10cm BC = 7cm and AB = 10cm.Find the radius of the circle(leave your answer to the nearest 1 decimal place)
Date posted: September 21, 2019. Answers (1)
- A TV set was bought on hire purchase. A down payment (deposit) of Kshs.5000 was paid and a 15 monthly installment of Kshs. 1500 was...(Solved)
A TV set was bought on hire purchase. A down payment (deposit) of Kshs.5000 was paid and a 15 monthly installment of Kshs. 1500 was required.
a)Calculate the total amount paid on hire purchase
b)If the hire purchase payment is 20% more than cash payment, find the cash price
Date posted: September 21, 2019. Answers (1)
- Quantities p and q are 0.325 and 0.650 correct to three significant figures. Find the percentage error in calculating q/p(Solved)
Quantities p and q are 0.325 and 0.650 correct to three significant figures. Find the percentage error in calculating q/p
Date posted: September 21, 2019. Answers (1)
- A circle of radius 3cm has the centre at c(-2,3).Find the equation of the circle in the form of x2+y2+px+qy+c = 0 where p,q and...(Solved)
A circle of radius 3cm has the centre at c(-2,3).Find the equation of the circle in the form of x2+y2+px+qy+c = 0 where p,q and c are constants
Date posted: September 21, 2019. Answers (1)
- In a certain arithmetic progression the first,second and sixth terms form a geometric progression.If the forth term of the A.P is 20,find the common difference...(Solved)
In a certain arithmetic progression the first,second and sixth terms form a geometric progression.If the forth term of the A.P is 20,find the common difference
Date posted: September 21, 2019. Answers (1)
- (a)Expand (2 + x)4.
(b)Use the expansion in (a) above to. Find the value (2.01)4 to 4d.p.(Solved)
(a)Expand (2 + x)4.
(b)Use the expansion in (a) above to. Find the value (2.01)4 to 4d.p.
Date posted: September 21, 2019. Answers (1)
- Simplify:(Solved)
Simplify: 
Date posted: September 21, 2019. Answers (1)
- The initial velocity of a particle was 1 m/s and its acceleration is given by 2-t m/s2 every second after the start.
(i)determine the equation representing...(Solved)
The initial velocity of a particle was 1 m/s and its acceleration is given by 2-t m/s2 every second after the start.
(i)determine the equation representing its velocity.
(ii)Find the velocity of the particle during the third second
Date posted: September 21, 2019. Answers (1)
- A and B are two points on the latitude 400N. The two points lie on the longitude 800W and 1000E respectively. ( take r= 6370...(Solved)
A and B are two points on the latitude 400N. The two points lie on the longitude 800W and 1000E respectively. ( take r= 6370 km & π= 22/7)
( a ) Calculate:
(i)The distance from A to B along the parallel of latitude
(ii)The shortest distance from A to B
( b )Two planes P and Q left A for B at 400 knots and 600 knots respectively. If P flew along the great circle and q along the parallel of latitude, which one arrived earlier and by how long? Give your answer to
the nearest minute
Date posted: September 21, 2019. Answers (1)
- Mrs. Langat, a primary school head teacher, earns a basic salary of sh.38,300, house allowance of sh 12000 and medical allowance of sh 3600 every...(Solved)
Mrs. Langat, a primary school head teacher, earns a basic salary of sh.38,300, house allowance of sh 12000 and medical allowance of sh 3600 every month. She claims a family relief of sh.1172 and insurance relief of 3% of the premium paid. Using tax rates table below:
(a)Calculate Mrs. Langat’s annual taxable income in Kenya pound per annum
(b)Tax due every month from Mrs. Langat
(c) If further deductions are made every month from her salary:
•WCPS of 2% of basic salary
•Life insuarance premium of sh4600
•Sacco loan repayment of sh 14,200
Calculate: (i) the total deductions
( ii ) her net pay for every month
Date posted: September 21, 2019. Answers (1)
- A new laptop depreciates at 8% per annum in the first year and 12% per year in the second year. If its value...(Solved)
A new laptop depreciates at 8% per annum in the first year and 12% per year in the second year. If its value at the end of the second year was sh121, 440. calculate its original value.
Date posted: September 21, 2019. Answers (1)
- Find the radius and the centre of a circle whose equation is:
3x2 + 3y2 +18y- 12x – 9=0(Solved)
Find the radius and the centre of a circle whose equation is:
3x2 + 3y2 +18y- 12x – 9=0
Date posted: September 21, 2019. Answers (1)
- Without using a calculator, solve leaving your answer in the form avb+c where a, b, and c are integers. (Solved)
Without using a calculator, solve 
leaving your answer in the form a√b+c where a, b, and c are integers.
Date posted: September 21, 2019. Answers (1)
- Kiprono buys tea costing sh 112 per kilogram and sh 132 per kilogram and mixes them, then sells the mixture at sh 150 per kilogram....(Solved)
Kiprono buys tea costing sh 112 per kilogram and sh 132 per kilogram and mixes them, then sells the mixture at sh 150 per kilogram. If he is making a profit of 25% in each kilogram of the mixture , determine the ratio in which he mixes the tea.
Date posted: September 21, 2019. Answers (1)