I’m working on a Mathematics question and need guidance to help me study.
Question 1: [6 Marks]
Let
,
, and
. Express the indicated logarithm in terms of
and
:
i)
[2 Marks]
ii)
[2 Marks]
iii)
[2 Marks]
Question 2: [8 Marks]
a)If
is invested at a nominal rate of
compounded continuously, find the compound amount after
years.[3 Marks]
b)How many years will it take for a principal of
to double at the interest rate of
compounded monthly? [5 Marks]
Question 3: [10 Marks]
a)Construct the matrix
if
is a
and
[4 Marks]
b)Solve the matrix equation:
[6 Marks]
Question 4: [12 Marks]
Given the matrices:
Find:
a)
[3 Marks]
b)
[4 Marks]
c)
[5 Marks]
Question 5: [9 Marks]
a)Solve the following system by using the inverse:
[5 Marks]
b)Solve the following system by the method of reduction:
[4 Marks]
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