Test Exercise 1 - Mathematical Preliminaries

1. Simplify

1.  [pic 1]

= [pic 2]

= [pic 3]

1. [pic 4]

= [pic 5]

= [pic 6]

1. [pic 7]

= [pic 8]

1. Solve the equations

1. [pic 9]

⊏[pic 10]

1. [pic 11]

[pic 12]

[pic 13]

1. [pic 14]

[pic 15]

• [pic 16]

[pic 17]

1. Determine the range of values for which the following inequalities are true

1. [pic 18]

[pic 19]

1. [pic 20]

[pic 21]

1. [pic 22]

[pic 23]

• [pic 24]

[pic 25]

1. a) [pic 26]

[pic 27]

[pic 28]

b)  = 3750 x (1+0.21) = 3750 x 1.21 = 4537.5[pic 29]

1. Solve the equations

1. [pic 30]

⊏[pic 31]

1. [pic 32]

[pic 33]

[pic 34]

1. Determine whether the expression on the LHS simplifies to the expression on the RHS

a)[pic 35]

LHS =  = RHS[pic 36]

b)[pic 37]

LHS =  x 3 = 12 = RHS[pic 38][pic 39]

1. a)

b) Plot a bar chart:

[pic 40]

1. a) Plot the weight of tea imported:

(i) a bar chart:

[pic 41]

(ii) a pie chart:

[pic 42]

b) Calculate the percentage of the company’s imports from each country