In 1980, direct U.S. business investment abroad was about 13.5 billion dollars. From 1980 through 2010, that investment grew at an average annual rate of 11.24%.† (a) Make an exponential model that shows the U.S. direct investment abroad A, in billions of dollars, t years after 1980. A(t) = (b) From 1980, how long did it take (in years) for U.S. investments abroad to double? (Round your answer to two decimal places.) years (c) According to the model, how long would it take (in years) from 2010 for investments abroad to double the level present in 2010? (Round your answer to two decimal places.) years

In 1980, direct U.S. business investment abroad was about 13.5 billion dollars. From 1980 through 2010, that investment grew at an average annual rate of 11.24%.† (a) Make an exponential model that shows the U.S. direct investment abroad A, in billions of dollars, t years after 1980. A(t) = (b) From 1980, how long did it take (in years) for U.S. investments abroad to double? (Round your answer to two decimal places.) years (c) According to the model, how long would it take (in years) from 2010 for investments abroad to double the level present in 2010? (Round your answer to two decimal places.) years

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

In 1980, direct U.S. business investment abroad was about 13.5 billion dollars. From 1980 through 2010, that investment grew at an average annual rate of 11.24%.t
(a) Make an exponential model that shows the U.S. direct investment abroad A, in billions of dollars, t years after 1980.
A(t) =
(b) From 1980, how long did it take (in years) for U.S. investments abroad to double? (Round your answer to two decimal places.)
years
(c) According to the model, how long would it take (in years) from 2010 for investments abroad to double the level present in 2010? (Round your answer to two decimal places.)
years

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