The per capita income in Idaho can be modeled by V(t) = 8.9e0.045t thousand dollars, where t measures the years since the start of 1980. Throughout this problem, do not round any number except final answers. (a) When does the per capita income in Idaho reach 35 thousand dollars? Round your answer to one decimal digit. (b) Write out V'(t). (c) How fast is the per capita income in Idaho changing in 1990? Write your answer in a sentence in the context of the question. Round your answer to three decimal digits and include correct units. (d) When is the per capita income in Idaho growing at a rate of 1 thousand dollars per year? Round your answer to 1 decimal digit and include units. (e) Write out V"(t). (f) How fast is the rate of growth of per capita income changing at the start of 2000? Write your answer in a sentence in the context of the question. Round your answer to three decimal digits and include correct units.
The per capita income in Idaho can be modeled by V(t) = 8.9e0.045t thousand dollars, where t measures the years since the start of 1980. Throughout this problem, do not round any number except final answers. (a) When does the per capita income in Idaho reach 35 thousand dollars? Round your answer to one decimal digit. (b) Write out V'(t). (c) How fast is the per capita income in Idaho changing in 1990? Write your answer in a sentence in the context of the question. Round your answer to three decimal digits and include correct units. (d) When is the per capita income in Idaho growing at a rate of 1 thousand dollars per year? Round your answer to 1 decimal digit and include units. (e) Write out V"(t). (f) How fast is the rate of growth of per capita income changing at the start of 2000? Write your answer in a sentence in the context of the question. Round your answer to three decimal digits and include correct units.
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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Transcribed Image Text:The per capita income in Idaho can be modeled by
V(t) = 8.9e0.045t
thousand dollars, where t measures the years since the start of 1980. Throughout this
problem, do not round any number except final answers.
(a) When does the per capita income in Idaho reach 35 thousand dollars? Round your
answer to one decimal digit.
(b) Write out V'(t).
(c) How fast is the per capita income in Idaho changing in 1990? Write your answer
in a sentence in the context of the question. Round your answer to three decimal
digits and include correct units.
(d) When is the per capita income in Idaho growing at a rate of 1 thousand dollars
per year? Round your answer to 1 decimal digit and include units.
(e) Write out V"(t).
(f) How fast is the rate of growth of per capita income changing at the start of 2000?
Write your answer in a sentence in the context of the question. Round your answer
to three decimal digits and include correct units.
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