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Richards
Richards
MS250
Mathematical Methods for Business Analysis
Practice Exam II
1) If $1000 is invested at 6% interest compounded annually for 2 years, the compound amount will
be
A) $1593.84.
B) $1120.00.
C) $1126.49.
D) $1123.60.
E) $1141.23.
2) Find the vertex of the graph of the quadratic function y = f(x) = 4 + 12x - 3
A) (-2, -32)
B) (4, 20)
C) (2, 4)
D) (-2, 4)
E) (2, 16)
1 0  4   4  2 0 
3) 2


2  3  1  3  5 1
A)
 2 2  8
 1 1 3 


 2  2  8
B) 

 1  11  3
  3 2  4
C) 

  1 2  2
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 6 4  8
D) 

  2 4  4
E) none of the above
4) Find: lim f ( x )
x1
5) True or False: The domain of an exponential function includes all real numbers.
A) True
B) False
6) The above graph is best represented by the function
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A) y = log 4 x
B) y = e 4
C) y = 4 x
D) y = ln 4
1
E) y=  
4
x
7) The above graph is best represented by
A) y = 4 x
B) y = ln 4
C) y = e 4
D) y= log 4 x
1
E) y =  
4
x
8) log 5 125 
A) 0
B) 1
C) 2
D) 3
E) 4
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9) If log 4 x  3 then
A)
1
81
B) -12
C) 64
D) 81
1
E)
64
10) If log 2 (4x  1)  3 then x=
5
4
3
B)
4
7
C)
4
11
D)
4
9
E)
4
A)
11) If ln e 5 x  4  6 then x=
A) e 4 / 5
B) 1
C) 2
4
D) ln  
5
4
E)
5
12) If log( x  3) 4  4 then x=
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A) 4 4 .
B)
1
.
10
C) -3
D) 12
E) 7
13) If 2e 3 x  5  3 , then x=
A)
3
ln 4
B)
1 7
ln
3 2
C)
ln 4
3
D)
4
3
E)
ln 3
4
14) Which of the following is true? If f(x)=ln x, then
A) both the domain and the range of f are all positive real numbers.
B) the domain of f is all positive real numbers and the range is all real numbers.
C) the domain of f is all real numbers and the range is all positive real numbers.
D) both the domain and the range of f are all real numbers.
E) the domain of f is all real numbers except zero and the range is all real numbers.
15) Suppose $500 is invested at a 6% interest rate compounded annually. How many years will it
take to accumulate $1000?
A) 6.5
B) 10
C) 8.4
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D) 11.9
E) 13.2
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Answer Key
1) D
2) E
3) A
4) 3
5) B
6) C
7) D
8) D
9) E
10) C
11) C
12) E
13) C
14) B
15) D