6. 10% of a radioactive substance decays in the first 5 minutes. If Question # the initial mass is 400 grams, give a formula in terms of "t" for the amount left after "t" minutes?

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...
icon
Related questions
Question
9.
Question #
the initial mass is 400 grams, give a formula in terms of "t" for the amount left
10% of a radioactive substance decays in the first 5 minutes. If
after "t" minutes?
In(0.10)
5
A) A(t)= 400e
In(0.90)
B) A(t)=400e
%3D
In(0.90)
5
C) A(t)=360e
In(0.10)
5
D) A(t)=360e
5 In
E) A(t)=400e
Transcribed Image Text:9. Question # the initial mass is 400 grams, give a formula in terms of "t" for the amount left 10% of a radioactive substance decays in the first 5 minutes. If after "t" minutes? In(0.10) 5 A) A(t)= 400e In(0.90) B) A(t)=400e %3D In(0.90) 5 C) A(t)=360e In(0.10) 5 D) A(t)=360e 5 In E) A(t)=400e
Expert Solution
Step 1

We have to use 1st order decay here.

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Differential Equation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning