A national census bureau predicts that a certain population will increase from 34.2 million in 2000 to 60.9 million in 2080. Complete parts (a) through (c) below. (a) Find an exponential function of the form f(t) = Y,b' for these data, in which t= 0 corresponds to 2000 and f(t) is in millions. f(t) = 34.2(1.0072) (Use integers or decimals for any numbers in the expression. Round to four decimal places as needed.) (b) What is the projected population in 2040? In 2050? In 2040, the population is projected to be 45.6 million. (Round to one decimal place as needed.) In 2050, the population is projected to be 49.1 million. (Round to one decimal place as needed.) (c) By experimenting with different values of t (or by using a graphing calculator to solve an appropriate equation), estimate the first full year in which the population will exceed 54 million. The first full year in which the population will exceed 54 million is |
A national census bureau predicts that a certain population will increase from 34.2 million in 2000 to 60.9 million in 2080. Complete parts (a) through (c) below. (a) Find an exponential function of the form f(t) = Y,b' for these data, in which t= 0 corresponds to 2000 and f(t) is in millions. f(t) = 34.2(1.0072) (Use integers or decimals for any numbers in the expression. Round to four decimal places as needed.) (b) What is the projected population in 2040? In 2050? In 2040, the population is projected to be 45.6 million. (Round to one decimal place as needed.) In 2050, the population is projected to be 49.1 million. (Round to one decimal place as needed.) (c) By experimenting with different values of t (or by using a graphing calculator to solve an appropriate equation), estimate the first full year in which the population will exceed 54 million. The first full year in which the population will exceed 54 million is |
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:A national census bureau predicts that a certain population will increase from 34.2 million in 2000 to 60.9 million in 2080. Complete parts (a) through (c) below.
(a) Find an exponential function of the form f(t) = V.b' for these data, in which t= 0 corresponds to 2000 and f(t) is in millions.
f(t) = 34.2(1.0072)
(Use integers or decimals for any numbers in the expression. Round to four decimal places as needed.)
(b) What is the projected population in 2040? In 2050?
In 2040, the population is projected to be 45.6 million.
(Round to one decimal place as needed.)
In 2050, the population is projected to be 49.1 million.
(Round to one decimal place as needed.)
(c) By experimenting with different values of t (or by using a graphing calculator to solve an appropriate equation), estimate the first full year in which the population
will exceed 54 million.
The first full year in which the population will exceed 54 million is
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 4 steps
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
