pre calculus
TURKS AND CAICOS ISLANDS COMMUNITY COLLEGE
MTH 2118 – Business Pre - Calculus
1. (a) Compute the value of x in the following
(b) Solve the following
i.
ii.
Total 15 marks
2. (a) Using the properties of logarithms, compute the following, to 2 decimal places (4 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
i. 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
+-=