The projected population of a certain ethnic group(in millions) can be approximated by p(t) = 38.96(1.017)' where t=U correspohds t8 200 a. Estimate the population of this group for the year 2010. b. What is the instantaneous rate of change of the population when t= 10? a. The population in 2010 is million people. (Round to three decimal places as needed.) b. The instantaneous rate of change in the population when t= 10 is million people per year. (Round to three decimal places as needed.)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
icon
Related questions
Question
The projected population of a certain ethnic group(in millions) can be approximated by p(t) = 38.96(1.017)' where t= 0 corresponds to 2000 and Usts 50.
a. Estimate the population of this group for the year 2010.
b. What is the instantaneous rate of change of the population when t= 10?
a. The population in 2010 is million people.
(Round to three decimal places as needed.)
b. The instantaneous rate of change in the population when t= 10 is
million people per year. (Round to three decimal places as needed.)
Transcribed Image Text:The projected population of a certain ethnic group(in millions) can be approximated by p(t) = 38.96(1.017)' where t= 0 corresponds to 2000 and Usts 50. a. Estimate the population of this group for the year 2010. b. What is the instantaneous rate of change of the population when t= 10? a. The population in 2010 is million people. (Round to three decimal places as needed.) b. The instantaneous rate of change in the population when t= 10 is million people per year. (Round to three decimal places as needed.)
Find the error in the following work.
(2x+5
DX
(2x+5)(2x) – (x - 1)2
-1)
4x + 10x - 2x + 2
2x + 10x +2
Choose the correct answer below.
O A. In the first step, the numerator should be (x-1)2-(2x+5)(2x).
O B. In the first step, the numerator should be (x-1) (2x+ 5) - (2x)2.
O C. In the last step, the numerator should be 2x-1
10x +2.
O D. In all three steps, the denominator should be (2x + 5).
Transcribed Image Text:Find the error in the following work. (2x+5 DX (2x+5)(2x) – (x - 1)2 -1) 4x + 10x - 2x + 2 2x + 10x +2 Choose the correct answer below. O A. In the first step, the numerator should be (x-1)2-(2x+5)(2x). O B. In the first step, the numerator should be (x-1) (2x+ 5) - (2x)2. O C. In the last step, the numerator should be 2x-1 10x +2. O D. In all three steps, the denominator should be (2x + 5).
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning