A model giving the purchasing power of the 2001 constant dollar is d(t) = −0.023t + 1.00 dollars where t is the number of years since the end of 2001. Based on data between 2001 and 2010.† (Note: Constant dollars are used to compare prices over time while removing changes due to inflation or deflation.) (a) What was the value of a 2001 constant dollar in the end of 1999? (Round your answer to two decimal places.) $  What was the value of a 2001 constant dollar in the end of 2008? (Round your answer to two decimal places.) $  (b) According to the model, when will the value of a 2001 constant dollar fall below 85 cents? (Round your answers to three decimal places when appropriate.) It will take  years since the end of 2001 for the value of a 2001 constant dollar to fall below 85 cents. This will occur in   which month? According to the model, when will the value of a 2001 constant dollar fall below 80 cents? (Round your answers to three decimal places when appropriate.) It will take  years since the end of 2001 for the value of a 2001 constant dollar to fall below 80 cents. This will occur in  which month?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A model giving the purchasing power of the 2001 constant dollar is

d(t) = −0.023t + 1.00 dollars

where t is the number of years since the end of 2001. Based on data between 2001 and 2010.† (Note: Constant dollars are used to compare prices over time while removing changes due to inflation or deflation.)

(a) What was the value of a 2001 constant dollar in the end of 1999? (Round your answer to two decimal places.)


What was the value of a 2001 constant dollar in the end of 2008? (Round your answer to two decimal places.)


(b) According to the model, when will the value of a 2001 constant dollar fall below 85 cents? (Round your answers to three decimal places when appropriate.)
It will take  years since the end of 2001 for the value of a 2001 constant dollar to fall below 85 cents. This will occur in   which month?

According to the model, when will the value of a 2001 constant dollar fall below 80 cents? (Round your answers to three decimal places when appropriate.)
It will take  years since the end of 2001 for the value of a 2001 constant dollar to fall below 80 cents. This will occur in  which month? 
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