Pre Calculus

TURKS AND CAICOS ISLANDS COMMUNITY COLLEGE

MTH 2118 – Business Pre – Calculus

1. (a) Compute the value of in the following

i. (2 marks)

ii. (2 marks)

iii. (3 marks)(b) Solve the following

i.

(4 marks)ii.

(4 marks)Total 15 marks

2. (a) Using the properties of logarithms, compute the following, to 2 decimal places (4 marks)

(i) (ii)

(b) Solve for the following logarithmic equation (6 marks)(c) World population is approximately described by the exponential function:

,where P(t) is the population in billions and t is time in years, measured from 1998. If the current trend continues, I what year will the population be 8.70 billion? (5 marks)

Total 15 marks

3. (a) Given that , and , findi. CD. (3 marks)

ii. 2C – 3D (3 marks)

iii. D + C (2 marks)

(b) Compute the Inverse of the following matrix. (7 marks)

Total 15 marks

57

6(6)36(6)

xx

=

(

)

(

)

3/2

24

39

.

xy

21

35

33

37

xyxy

·

888

log354log4log5

+-

4

1

log

64

æö

ç÷

èø

2loglog4log(92)

xx

+=-

40

()5.942

t

Pt

æö

=

ç÷

èø

123

133

124

A

æö

ç÷

=

ç÷

ç÷

èø

623

110

101

B

æö

ç÷

=-

ç÷

ç÷

èø

354

218

1117

A

éù

êú

=–

êú

êú

ëû

2

3

327

x

=

232

x

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