Find y in
the figure below;
Solution
According to
rectangle properties of a circle
(PX)(XJ) = (HX)(XK)
(4)(y) = (8)(10)
4y = 80
4y = 80
4 4
y = 20
Hence y = 20
cm
TRY THIS……….
Find a in
the figure below;
Monday, 19 January 2015
COMPOUND INTEREST 1
Salma
invested a certain amount of money in a bank which gives an interest rate of
10% compounded annually. How much did she invest at the start if she got 5000
sh at the end of 2 years?
solution
n=2, t=1,
R=10%, A2=5000, P=?
An
= P(1 + RT/100)n
A2
= P(1 + (10x1)/100)2
A2
= P(1 + 10/100)2
A2
= P(100/100 + 10/100)2
A2
= P(110/100)2 But
A2=5000,
5000 =
P(1.1)2
5000 = 1.21P
5000 = 1.21P
1.21 1.21
5000 = P
1.21
P = 4132.23 (to
2 d.p.)
Hence at the start she invested Tsh 4132.23
TRY THIS……….
Salome
invested a certain amount of money in a bank which gives an interest rate of 5%
compounded annually. How much did she invest at the start if she got 12,000 sh
at the end of 2 years?
SIMPLE INTEREST 3
Ashish
deposited the amount of 20,000/= in a bank for 3 years and got a profit of 7200/=.
Find the interest rate?
Solution
I = 7200/=,
P = 20,000/=, T = 3 years, R = ?
I = PRT
100
7200 = 20,000 x R x 3
100
7200 = 20,000 x R x 3
100
7200 = 200 x R x 3
7200 = 600R
127200 = 600R
Hence the interest rate was 12%
TRY THIS…………………..
Sonali
deposited the amount of 30,000/= in a bank for 6 years and got a profit of
2700/=. Find the interest rate?
RADIAN TO DEGREES 1
Change 13∏/2 radians into degrees.
Solution
Ó¨ = 1800 x
s but s = 13∏/2
∏
Ó¨ = 1800 x 13∏
∏
2
Ó¨ = 90180 x 13∏
1∏ 21
Ó¨ = 900 x 13
Ó¨ = 11700
Hence 13∏/2
radian is equal to 11700.
TRY THIS…………….
Change 7∏/10 radians into degrees.
LENGTH OF AN ARC 1
Find the
length of an arc if the radius of the circle is 60cm.
Solution
L = ∏r
1800
L = ∏ x 60
1800
L = ∏ cm
3
Hence length of an arc is ∏/3 cm
TRY THIS………………..
Find the
length of an arc if the radius of the circle is 3.6cm.
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