Lesson14_-_Exponential_Growth_and_Decay_ws

# Lesson14_-_Exponential_Growth_and_Decay_ws - Using a...

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Worksheet for Section 3.4 Exponential Growth and Decay V63.0121, Calculus I Spring 2010 1. The half-life of Uranium-235 is approximately 7 × 10 8 years. If 50 g are buried at a nuclear waste site, how much will remain after 100 years? 2. A population of E. Coli doubles every 20 min. A treatment reduces the population by 90%, but has to be repeated every T minutes. What is T so that after each treatment the population is 10 8 bacteria? 1

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3. Scientists dating a fossil estimate the 20% of the original amount of Carbon-14 is present.
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Unformatted text preview: Using a half-life of 5700 years for Carbon-14, approximately how old is the fossil? 4. A bowl of porridge at 200 ◦ F (too hot) has been placed in a 70 ◦ F room. One minute later the porridge has cooled to 180 ◦ F. When will the temperature be 120 ◦ F (just right)? 5. Person A invests \$10,000 in 2010 and Person B invests \$20,000 in 2020. If both receive 12% interest compounded continuously, what are the values of the investments in 2030? 2...
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## This note was uploaded on 07/19/2010 for the course MATHEMATIC V63.0121 taught by Professor Leingang during the Spring '09 term at NYU.

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Lesson14_-_Exponential_Growth_and_Decay_ws - Using a...

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