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) = 1.6 e 0.049t where t=0 corresponds to 2005 and V isin billions of dollars.%3Da) Estimate the value of the country's exports in 2005 and 2011.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 $(Simplify your answer. Round to the nearest tenth as needed. Do not include the $ symbol in your answer.)billion.The value of the country's exports in 2011 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 approximatelyyears.(Simplify your answer. Round to the nearest integer as needed.)

Given Vt=1.6e0.049t t=0 corresponds to 2005 V is in billion of dollars

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) = 1.6 e 0.049t 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 2011. 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 2011 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.)