

1. 
Find the balance after 40 years of a $15,000 investment earning 9% interest compounded continuously. 


A. 
$548,973.52 
B. 
$541,736.11 


C. 
$541,649.63 
D. 
$567,451.29 


Hint 


2. 
Which equation is represented by the graph? 





A. 
y = 2e 
B. 
y = 2e^{x} 


C. 
y = 2e^{x} 
D. 
y = 2e^{x} 


Hint 


3. 
Find the balance of a $500 investment after 18 years earning 7.9% interest compounded continuously. 


A. 
$2,072.70 
B. 
$502.20 


C. 
$2,146.32 
D. 
$541.10 


Hint 


4. 
Compare the balance after 15 years of a $5,000 investment earning 7.12% interest compounded continuously to the same investment compounded semiannually. 


A. 
You would earn $267.67 more by choosing the compounded continuously account. 


B. 
You would earn $376.31 more by choosing the compounded continuously account. 


C. 
You would earn the same from both accounts. 


D. 
You would earn $267.67 more by choosing the compounded annually account. 


Hint 


5. 
Which of the following equations models exponential growth in terms of e? 


A. 
y = (10^{8})e^{.054t} 
B. 
y = (10^{8}) e^{4.6t} 


C. 
y = (10^{6}) e^{.0223t} 
D. 
y = (10) e^{2.74t} 


Hint 

