MATRIX A4

EXPONENTIAL FUNCTONS A1

A settlement has a population of 2000 people. Each year 5%of the people leave the settlement. How many people will remain after 3 years?

solution

f(t) = A ( 1 -5/100)^t

= 2000(1 – 0.05)^t

= 2000 x (0.95)³

= 2000 x 0.95 x 0.95 x 0.95

= 2000 x 0.857375

= 1714.75 (1715 approximate)

Therefore there will be 1715 people remaining after three years of decay

REPEATING DECIMAL A3

MATRIX A3

PROBABILITY A1

QUADRATIC A1

Factorize 2x² - 7x - 30

Solution

2x² + 12x – 5x - 30

(2x² + 12x) - (5x - 30)

2x(x + 6) - 5(x + 6)

(2x - 5) (x + 6)

Hence (2x - 5) (x + 6) answer

MATRIX A2

REPEATING DECIMAL A2

MATRIX A1

FACTORIZATION A1

If 16x² + 8x + m is a perfect square, find m.

Solution

a = 16, b = 8, c = m.

b² = 4ac

(8)² = 4 x 16 x m

64 = 64m

 64  =   64m

 64       64

           

m = 1

Hence m = 1