2. A tree contains a known percentage po of a radioactive substance with half-life 7. When the tree dies the substance decays and isn't replaced. If the percentage of the substance in the fossilized remains of such a tree is found to be pi, how long has the tree been dead?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
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2. A tree contains a known percentage po of a radioactive substance with half-life t. When the
tree dies the substance decays and isn't replaced. If the percentage of the substance in the
fossilized remains of such a tree is found to be p1, how long has the tree been dead?
3. A savings account pays 5% per annum interest compounded continuously. The initial deposit
is Qo dollars. Assume that there are no subsequent withdrawals or deposits.
(a) How long will it take for the value of the account to triple?
(b) What is Qo if the value of the account after 10 years is $100,000 dollars?
Transcribed Image Text:2. A tree contains a known percentage po of a radioactive substance with half-life t. When the tree dies the substance decays and isn't replaced. If the percentage of the substance in the fossilized remains of such a tree is found to be p1, how long has the tree been dead? 3. A savings account pays 5% per annum interest compounded continuously. The initial deposit is Qo dollars. Assume that there are no subsequent withdrawals or deposits. (a) How long will it take for the value of the account to triple? (b) What is Qo if the value of the account after 10 years is $100,000 dollars?
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