Busines Mat

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EBQ1043 BUSINESS MATHEMATICS

TUTORIAL 1

Question 1
Classify the number as to type.

i. [pic]

= rational, integer, natural, real

ii. –1.7996

= rational, real

iii. 3.59

= rational, real
iv. [pic]

= rational, real

v. 0

= Whole, integer, real

Question 2

Evaluate the following expression.

i. [pic]

= 40

ii. [pic]

= –7

iii. [pic]

= 1

iv. [pic]

= –4

Question 3
Compute/simplify the expression.

i. [pic]

= [pic]

ii. [pic]

= [pic]

iii. [pic]

=[pic]

iv. [pic]

= [pic]

v. [pic]

= [pic]

vi. [pic]

=[pic]

vii. [pic]

= 27

viii. [pic]

= [pic]

ix. [pic]

= [pic]

Question 4
Perform the indicated operations and simplify the expression.

i. [pic]

= [pic]

ii. [pic]

=[pic]

iii. [pic]

= [pic]

iv. [pic]

= [pic]

.
v. [pic]

= [pic]

vi. [pic]

= [pic]

vii. [pic]

= [pic]

viii. [pic]

= [pic]

ix. [pic]

= [pic]

x. [pic]

= [pic]

Question 5

a) Suppose a company’s revenue R (in dollars) from the sale of x units of its product is given by [pic]. Suppose further that the total costs C (in dollars) of producing those x units is given by [pic]. If profit is revenue minus cost, find the expression for the profit from the production and sale of x units. ANS:[pic]

b) Cell Pro makes cell phones and has total weekly costs of $1000 for rent, utilities, and equipment, in addition to labor and material costs of $18.75 for each phone it makes. If x represents the number of phones produced and sold, choose the expression for Cell Pro’s weekly costs.

ANS:[pic]

Question 6
Factor the expression.

i. [pic]

= [pic]
ii. [pic]

= [pic]

iii. [pic]

= [pic]

iv. [pic]

= [pic]

v. [pic]

= [pic]

Question 7
Solve the equation.

i. [pic]

| |[pic] |

ii. [pic]

| |[pic] |

iii. [pic]

| |[pic], [pic] |

iv. [pic]

| |[pic] |
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