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Exponential Law: Uninhibited Growth: K > 0 Decay: K < 0 A = A o e kt

ET 3.5. Exponential Law: Uninhibited Growth: K > 0 Decay: K < 0 A = A o e kt. A o = Original amount when t = 0. A colony of bacteria increases according to the law of uninhibited growth. If the number of bacteria doubles in 3 hrs, how long will it take to triple?.

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Exponential Law: Uninhibited Growth: K > 0 Decay: K < 0 A = A o e kt

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  1. ET 3.5 Exponential Law: Uninhibited Growth: K > 0 Decay: K < 0 A = Aoekt Ao = Original amount when t = 0

  2. A colony of bacteria increases according to the law of uninhibited growth. If the number of bacteria doubles in 3 hrs, how long will it take to triple?

  3. If the ½ life of carbon-14 is 5600 yrs.,aprox. when was the tree cut and burned? Traces of burned wood found along w/ancient stone tools in an archaeological dig in Chile were found to contain about 1.67% of the original amount of carbon-14.

  4. Initial Investment: $1000Annual % rate: 3.5% How long will it take to double the initial investment? How much money will be in the account after 10 years?

  5. 3.5 Assignment 8-14 even, 15, 17, 26-30 even, 39

  6. Exponential Growth/Decay

  7. Precalculus/Trig III Section 3.5 – Exponential Modeling 1. The population P of a city is given by 0.055, where t = 0 represents 1996. When will the population reach 150,000? ()95,000tPte= 2. The population in the United States in 1850 was 1.171 million and 1.608 million in 1900. Assuming the population grows exponentially, estimate the population in 1925. 3. The half-life of Radium 226 is 1,590 years (half-life represents the time required for half of an object’s mass to disintegrate). If you started with 100 milligrams, what would its mass be in 1,000 years? How many years will pass until its mass is 30 milligrams? 4. The half-life of carbon 14 (14C) is 5,730 years. If an object contains 10 grams of 14C, how much will it contain after 2,000 years? 5. If a radioactive substance loses 15% of its radioactivity in 2 days, what is its half-life? 6. If $500 were invested at 5.5% per year compounded continuously, how long would it take for the investment to quadruple?

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