A particular country's exports of goods are increasing exponentially. The value of the exports, t years after 2006, can be approximated by V(t) = 1 5 e 0.0411 where t=0 corresponds to 2006 and V is in billions of dollars. a) Estimate the value of the country's exports in 2006 and 2016. b) What is the doubling time for the value of the country's exports? a) The value of the country's exports in 2006 is $ billion. (Simplify your answer. Round to the nearest tenth as needed. Do not include the $ symbol in your answer.)

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A particular country's exports of goods are increasing exponentially. The value of the exports, t years after 2006, can be approximated by V(t) = 1.5e 0.041t where
t=0 corresponds to 2006 and V is in billions of dollars.
a) Estimate the value of the country's exports in 2006 and 2016.
b) What is the doubling time for the value of the country's exports?
a) The value of the country's exports in 2006 is $
billion.
(Simplify your answer. Round to the nearest tenth as needed. Do not include the $ symbol in your answer)
Transcribed Image Text:A particular country's exports of goods are increasing exponentially. The value of the exports, t years after 2006, can be approximated by V(t) = 1.5e 0.041t where t=0 corresponds to 2006 and V is in billions of dollars. a) Estimate the value of the country's exports in 2006 and 2016. b) What is the doubling time for the value of the country's exports? a) The value of the country's exports in 2006 is $ billion. (Simplify your answer. Round to the nearest tenth as needed. Do not include the $ symbol in your answer)
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