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Following is a partial list of topics for Math 121 with a sample problem that illustrates each topic.  Work the problem and click on the Answer button to see how you did.
   
Math 121 Topics
    
             Applications for Functions

  

 

For the production of a clock radio, the revenue and cost functions are given by 
.

Determine the break-even point - that is, where R(x) = C(x).
 

  Answer


    
 
  

Logarithms and their Applications
 


   
Solve:
 
 Answer


A wildebeest population is estimated at 12,000 with an annual growth of 5.32%
     a)  What will be the population in 8.5 years?

     b)  When did the population reach 10,000?
 

 Answer


 
The Mathematics of Finance
 


 
An investment earns 4.5% compounded quarterly.  After seven years, there is a total of $8891.04 in the account.  What was the original investment (principle)?
 
 Answer


 
A family invests $150 each month into an account which pays 7.2% compounded monthly. If their goal is to reach a total of $10,000, how long will this take?
 
 Answer


 
Tony wishes to pay off a $5000 debt by making equal monthly payments over three years.  To do so, he will be charged 9.6% compounded monthly on the unpaid balance.  What will his monthly payment be?
 
 Answer


 
Systems of Linear Equations
 


 
Solve:
 
 Answer


 
A vending machine in a shopping mall sells first class stamps for 40 cents and post card stamps for 25 cents.  On Monday, it sold a total of 103 stamps for $38.80, and on Tuesday, it sold a total of 181 stamps for $68.20.  How many of each type was sold on each day?
 
 Answer


  
Systems of Linear Inequalities - Linear Programming
 


 
A business makes two kinds of cuckoo clocks for souvenirs that they sell to local stores.  The large clock takes 2 hours to assemble and 2 hours to do the finish work, while the small clock takes 1 hour to assemble and 3 hours to do the finish work.  They have at most 2200 hours for assembly each week and 3000 hours for finish work each week.  They can make at most 800 small clocks each week.  If they sell the large clocks for $135 and the small clocks for $86, how many of each should they make to maximize revenue?
 
 Answer


 
Introduction to the Calculus
 


 
Determine:
 
 Answer


 
Determine the derivative of:
 
 Answer


 
Determine the equation of the tangent line to
at x = 1.
 
 Answer


   
Application of the Derivative
  
The revenue function for the sale of  a certain type of lamp is given by
 .

a)  What is the marginal revenue at a production of 80 lamps?

b)  Where is the revenue a maximum?
 

 Answer


  

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Updated 11/07/08 .   For broken links or comments, please email  vzabrocki@msubillings.edu