The value V(t) of a case of investment-grade wine after t years is V(t) = 2000 + 80t - 10t dollars (for 0 st ≤ 25). For the number of years, find dV and use it to estimate the value one year later.+ (Round your answers to two decimal places.) 9 years dV = $ V(10) = $

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The value \( V(t) \) of a case of investment-grade wine after \( t \) years is 

\[ V(t) = 2000 + 80\sqrt{t} - 10t \]

dollars (for \( 0 \leq t \leq 25 \)). For the number of years, find \( dV \) and use it to estimate the value one year later. (Round your answers to two decimal places.)

Given:

\( t = 9 \) years

\[ dV = \$ \]
\[ V(10) \approx \$ \]

Fill in the blanks with appropriate calculations.
Transcribed Image Text:The value \( V(t) \) of a case of investment-grade wine after \( t \) years is \[ V(t) = 2000 + 80\sqrt{t} - 10t \] dollars (for \( 0 \leq t \leq 25 \)). For the number of years, find \( dV \) and use it to estimate the value one year later. (Round your answers to two decimal places.) Given: \( t = 9 \) years \[ dV = \$ \] \[ V(10) \approx \$ \] Fill in the blanks with appropriate calculations.
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