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) 

3)  

A) 

B) 

C) 

D) 

E) none of the above 

4)  Find: 

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
 
A) y = 
B) y = 
C) y = 
D) y = ln 4
E) y=

7)  The above graph is best represented by

A) y = 
B) y = ln 4
C) y = 
D) y=
E) y = 

8)  

A) 0 

B)  1

C)  2 

D)  3

 E)  4 

9)  Ifthen

A) 

B)  -12 

C)  64 

D)  81
E)  

10)  If   then x=

A) 
B)  
C)  
 D)  
E)  

11)  If  then x=

A) 

B)  1
 
C)  2
 D)  
 E) 

12) If  then x=

A). 

B)  . 

C)  -3

 D)  12 

E)  7

13) If , then x=

A) 

B)  

 C)  

 D)  

 E)   

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

D) 11.9

E) 13.2

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