Page 70 - Mathematics_Form_Two

Algebra

Divide both sides of equation (i) by hπ Example 4�12
V
2
to get = r . (ii) The simple interest, I on principal, P
p h
for time, T years and at the rate of R%
Apply the square root to both sides of per annum is given by the formula
PRT
V h = r . formula. . Make P the subject of the
I =
FOR ONLINE READING ONLY
equation (ii) to get
100
Mathematics for Secondary Schools Therefore, r = p h . Solution PRT . (i)
p
V
Given I =
100
Multiplying both sides of equation
PRT . (ii)
(i) by 100 gives 100I =
Example 4�11
Divide both sides of (ii) by RT to get
l
100I
Given that T = 2p , make l the 100I P= .
Therefore, P =
g RT
TR
subject of the formula. 100I
Therefore, P = .
RT
Solution
Given the formula T = 2p l . (i) Exercise 4�2
g In questions 1 to 13 make the given

Divide both sides of equation (i) by letter the subject in each formula
T l Formula Letter
2p to obtain 2p = g . (ii)

Squaring both sides of equation (ii) 1. I = PRT R
100
æ T 2 l ö
gives ç ÷ = . (iii) 2. C 2p r = r
è 2p ø g
3. A = 1 bh h
Multiplying both sides of equation 2

(iii) by g gives g æ ç T ö ÷ 2 = . w p
l
è 2p ø 4. E = pv

2 2
æ T ö gT PRT
But g = ç ÷ = . 5. A = P + P
l
è 2 4p p ø 2 100
6. 2 A = p ( rr + ) h h
gT 2
Therefore, l = . 3
4p 2 7. T = l l
2

64
Student's Book Form Two

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MATHEMATIC F2 v5.indd 64