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Exponential and Logarithmic Functions

 
 

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Problem 3.1: Which investment earns more interest: $10,000 at 6.2% interest compounded quarterly (4 times per year) for twenty years, or $10,000 at 7.5% interest compounded continuously for 15 years?
 
Problem 3.2: How soon will an investment double its value if it is invested at 5% compounded monthly?
 
Problem 3.3: A city's population grows at the constant relative rate of 6%. If the original population is 10, 000, how many people are there after ten years?
 
Problem 3.4: The population of a bacteria culture exponentially grows from 2,000 to 20,000 in six hours. What is the constant relative rate of growth?
 
Problem 3.5: A substance decays exponentially and has a half-life of 2200 years. A specimen is found containing only 20% of its original amount of the substance. How old is the specimen?
 
 
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