(2) The half-life of titanium-44, a radioactive isotope, is 63 years. If a substance starts out with 1000 kg of titanium-44, answer the following questions (round your answer to the nearest hundredth of a kilogram or year). a) How much titanium-44 will remain after 441 years? b) How long will it be before there is only 1 kg of titanium-44?
(2) The half-life of titanium-44, a radioactive isotope, is 63 years. If a substance starts out with 1000 kg of titanium-44, answer the following questions (round your answer to the nearest hundredth of a kilogram or year). a) How much titanium-44 will remain after 441 years? b) How long will it be before there is only 1 kg of titanium-44?
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...
Related questions
Question
Transcribed Image Text:**Population and Half-Life Problems**
**(1) Colobus Monkeys Population Decline**
There are currently only 1000 Colobus monkeys left. The population of monkeys decreases by 12% each year. Answer the following questions and round your answer to the nearest monkey or year:
a) How many monkeys will there be in the year 2025?
b) How many years will it be before there are only 200 monkeys left?
**(2) Titanium-44 Half-Life Calculation**
The half-life of titanium-44, a radioactive isotope, is 63 years. If a substance starts out with 1000 kg of titanium-44, answer the following questions (round your answer to the nearest hundredth of a kilogram or year):
a) How much titanium-44 will remain after 441 years?
b) How long will it be before there is only 1 kg of titanium-44?
**(3) San Diego Cats Population Growth**
There are currently 400,000 cats in the San Diego area. The number of cats in San Diego increases each year by 2.5%. Answer the following questions and round your answer to the nearest cat or year:
a) How many cats will there be in the year 2036?
b) How long will it be before the number of cats doubles?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
Knowledge Booster
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.Recommended textbooks for you
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
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
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
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
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning