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Exponential and Logarithmic Functions


Problems

Problem : 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 : How soon will an investment double its value if it is invested at 5% compounded monthly?


Problem : 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 : 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 : 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?