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.)
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...
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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?
|
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