If a population is now 7.4 billion people and it continues to grow at an annual rate of 1.4% compounded continuously, how long (to the nearest year) would it take before there is only 1 square yard of land per person? (There are approximately 1.38 × 10 square yards of land.) Which of the following is the correct substitution of the given numbers in the formula for continuous compounding, A= Pe? O A. 7.4x109 =1.38 × 1014. e0.014t O B. 1.38 x 1014 – 7.4 × 10° - e 0.014t O C. 1.38 = 7.4• e0.014t O D. 7.4 = 1.38· e0014t

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.2: The Natural Exponential Function
Problem 2E
icon
Related questions
Question
If a population is now 7.4 billion people and it continues to grow at an annual rate of 1.4% compounded continuously, how long (to the nearest year) would it take before there is only 1 square yard of land per
person? (There are approximately 1.38 × 10 square yards of land.)
Which of the following is the correct substitution of the given numbers in the formula for continuous compounding, A= Pe?
O A. 7.4x109 =1.38 × 1014. e0.014t
O B. 1.38 x 1014 – 7.4 × 10° - e 0.014t
O C. 1.38 = 7.4• e0.014t
O D. 7.4 = 1.38· e0014t
Transcribed Image Text:If a population is now 7.4 billion people and it continues to grow at an annual rate of 1.4% compounded continuously, how long (to the nearest year) would it take before there is only 1 square yard of land per person? (There are approximately 1.38 × 10 square yards of land.) Which of the following is the correct substitution of the given numbers in the formula for continuous compounding, A= Pe? O A. 7.4x109 =1.38 × 1014. e0.014t O B. 1.38 x 1014 – 7.4 × 10° - e 0.014t O C. 1.38 = 7.4• e0.014t O D. 7.4 = 1.38· e0014t
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage