An initial amount of 100 g of the radioactive isotope thorium-234 decays according to Q(t) = 100e-0.02828t where t is in years. How long before half of the Initial amount has disintegrated? This time is called the half-life of this isotope. (Round your answer to one decimal place.) yr
An initial amount of 100 g of the radioactive isotope thorium-234 decays according to Q(t) = 100e-0.02828t where t is in years. How long before half of the Initial amount has disintegrated? This time is called the half-life of this isotope. (Round your answer to one decimal place.) yr
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![### Topic: Radioactive Decay and Half-Life Calculation
An initial amount of 100 grams of the radioactive isotope thorium-234 decays according to the equation:
\[ Q(t) = 100e^{-0.02828t} \]
where \( t \) is in years. Our task is to determine how long it takes for half of the initial amount to disintegrate. This period is termed the half-life of the isotope. Please ensure to round your final answer to one decimal place.
To solve this, set \( Q(t) = 50 \) (half of 100) and solve for \( t \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3896aeea-7096-4282-b4c5-89664089d1fc%2F99067940-5b3c-4d12-afcf-1b0d8b128932%2F0rd9j2_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Topic: Radioactive Decay and Half-Life Calculation
An initial amount of 100 grams of the radioactive isotope thorium-234 decays according to the equation:
\[ Q(t) = 100e^{-0.02828t} \]
where \( t \) is in years. Our task is to determine how long it takes for half of the initial amount to disintegrate. This period is termed the half-life of the isotope. Please ensure to round your final answer to one decimal place.
To solve this, set \( Q(t) = 50 \) (half of 100) and solve for \( t \).
![The text displayed on the screen reads:
"If the supply function for a product is given by \( p = \frac{100e^{q/2}}{q+1} \), where \( q \) represents the number of hundreds of units, what will be the price \( p \) when the producers are willing to supply 400 units?
(Round your answer to two decimal places.)
\( p = \$ \) [ ]"
In addition, there is a "Need Help?" section with the option to "Watch It" for further assistance. The background shows a MacBook Pro keyboard and a row of application icons on the screen. There are no graphs or diagrams present in the image.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3896aeea-7096-4282-b4c5-89664089d1fc%2F99067940-5b3c-4d12-afcf-1b0d8b128932%2Fze607ri_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The text displayed on the screen reads:
"If the supply function for a product is given by \( p = \frac{100e^{q/2}}{q+1} \), where \( q \) represents the number of hundreds of units, what will be the price \( p \) when the producers are willing to supply 400 units?
(Round your answer to two decimal places.)
\( p = \$ \) [ ]"
In addition, there is a "Need Help?" section with the option to "Watch It" for further assistance. The background shows a MacBook Pro keyboard and a row of application icons on the screen. There are no graphs or diagrams present in the image.
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