Math For Social Sciences. Practice Exam

1. Write each exponential statement in its equivalent logarithmic form:
   • .

     
     Answer: .

   • .

     
     Answer: .

2. Write each logarithmic statement in its equivalent exponential form:
   • .

     
     Answer: .

   • .

     
     Answer: .

3. Sketch each of the following graphs. Identify any intercepts and asymptotes in your sketch:
   • .

     
     Answer:

     

   • .

     
     Answer:

     

4. Solve each of the following equations for x. Give exact answers (i.e. no decimals).
   • .

     
     Answer: .

   • .

     
     Answer: x=10.

5. Solve each of the following equations for x. Round your answers to one decimal place.
   • 

     
     Answer: .

   • 

     
     Answer: .

6. If , , and ,
   find .

   
   Answer: The .

7. True or False:
   • .

     
     Answer: False.

   • .

     
     Answer: False.

   • .

     
     Answer: True.

   • .

     
     Answer: False.

8. Ashley borrows $1,350 at simple interest to pay taxes. The loan is for 8 months and costs $96.30 in interest. Find the annual interest rate.

   
   Answer: The annual interest rate is 10.73%.

9. In 3 years Isaac will need $6,000 to pay off a loan. What lump sum can be deposited today, at 9.5% compounded semiannually, so that he will have enough to pay off the loan?

   
   Answer: The amount needed to be deposited is approximately $4,541.79.

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Tue Aug 12 21:51:10 MDT 1997

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