In this exercise use the fact that in 2005 the GDP of the U.S. in trillions of dollars was 12.46, and the yearly growth factor for the GDP of the U.S. is 1.029. The economy of China is smaller than that of the United States but is growing more quickly. Here is a projection for the GDP of China:

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
icon
Related questions
Question

In this exercise use the fact that in 2005 the GDP of the U.S. in trillions of dollars was 12.46, and the yearly growth factor for the GDP of the U.S. is 1.029.

The economy of China is smaller than that of the United States but is growing more quickly. Here is a projection for the GDP of China:

C = 8.2 × 1.06t.

In this projection t is the number of years since 2005 and C is the GDP of China, measured in trillions of U.S. dollars.

(a) Compare the percentage growth rates for the GDP of the United States and China.
The yearly growth factor for C is *blank*  , so the percentage growth rate for the GDP of China is *blank*  %. The percentage growth rate for the GDP of the U.S. is *blank* %. So the growth rate for the GDP of China is larger     than that of the United States.

(b) Find the year when the GDP of China will overtake the U.S. GDP.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education