A particular country's exports of goods are increasing exponentially. The value of the exports, t years after 2005, can be approximated by V(t) = 1.3 e 0.038t where t=0 corresponds to 2005 and V is in billions of dollars. a) Estimate the value of the country's exports in 2005 and 2017. b) What is the doubling time for the value of the country's exports? a) The value of the country's exports in 2005 is $ billion. (Simplify your answer. Round to the nearest tenth as needed. Do not include the $ symbol in your answer.) The value of the country's exports in 2017 is $ billion. (Simplify your answer. Round to the nearest tenth as needed. Do not include the $ symbol in your answer.) b) The doubling time is approximately years. (Simplify your answer. Round to the nearest integer as needed.)

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...
icon
Related questions
Question
A particular​ country's exports of goods are increasing exponentially. The value of the​ exports, t years after
2005​,
can be approximated by
​V(t)=1.3e0.038t
where
t=0
corresponds to
2005
and V is in billions of dollars.
 
​a)
Estimate the value of the​ country's exports in
2005
and
2017.
​b)
What is the doubling time for the value of the​ country's exports?
A particular country's exports of goods are increasing exponentially. The value of the exports, t years after 2005, can be approximated by V(t) = 1.3 e 0.038t where t= 0 corresponds to 2005 and V is in billions of dollars.
a) Estimate the value of the country's exports in 2005 and 2017.
b) What is the doubling time for the value of the country's exports?
a) The value of the country's exports in 2005 is $ billion.
(Simplify your answer. Round to the nearest tenth as needed. Do not include the $ symbol in your answer.)
The value of the country's exports in 2017 is $ billion.
(Simplify your answer. Round to the nearest tenth as needed. Do not include the $ symbol in your answer.)
b) The doubling time is approximately years.
(Simplify your answer. Round to the nearest integer as needed.)
Transcribed Image Text:A particular country's exports of goods are increasing exponentially. The value of the exports, t years after 2005, can be approximated by V(t) = 1.3 e 0.038t where t= 0 corresponds to 2005 and V is in billions of dollars. a) Estimate the value of the country's exports in 2005 and 2017. b) What is the doubling time for the value of the country's exports? a) The value of the country's exports in 2005 is $ billion. (Simplify your answer. Round to the nearest tenth as needed. Do not include the $ symbol in your answer.) The value of the country's exports in 2017 is $ billion. (Simplify your answer. Round to the nearest tenth as needed. Do not include the $ symbol in your answer.) b) The doubling time is approximately years. (Simplify your answer. Round to the nearest integer as needed.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Linear Equations
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.
Similar questions
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
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: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning