Radioactive substance decay exponentially. For example, the amount of radium present at any time t obeys the law Q(t) = Qoe-kt, where Qo is the initial amount present and k is a specific positive constant. The half-life of a radioactive substance is the time required for a given amount to reduced by one-half. Now, it is known that the half-life of radium is approximately 1600 years. Suppose initially there are 100 milligrams of pure radium. a). Find the amount left after t years. Round k to 7 decimal places. b). What is the amount left after 800 years? Round to a whole number.

Radioactive substance decay exponentially. For example, the amount of radium present at any time t obeys the law Q(t) = Qoe-kt, where Qo is the initial amount present and k is a specific positive constant. The half-life of a radioactive substance is the time required for a given amount to reduced by one-half. Now, it is known that the half-life of radium is approximately 1600 years. Suppose initially there are 100 milligrams of pure radium. a). Find the amount left after t years. Round k to 7 decimal places. b). What is the amount left after 800 years? Round to a whole number.

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

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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8. Radioactive substance decay exponentially. For example, the amount of radium present at
any time t obeys the law Q(t) = Qoe¯kt, where Qo is the initial amount present and k is a
specific positive constant. The half-life of a radioactive substance is the time required for
a given amount to reduced by one-half. Now, it is known that the half-life of radium is
approximately 1600 years. Suppose initially there are 100 milligrams of pure radium.
a). Find the amount left after t years. Round k to 7 decimal places.
b). What is the amount left after 800 years? Round to a whole number.

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