document.write( "Question 289806: The value of a share can be represented by V(x) = x2 – 28x + 13, where x is the number of months after January 2004. What is the lowest value V(x) will reach, and when did that occur? (5 points) \n" ); document.write( "

Algebra.Com's Answer #209873 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+V%28x%29+=+x%5E2-28x+%2B+13+\"$
\n" ); document.write( "You can take the derivative and set it equal to zero to find extrema.
\n" ); document.write( " $\"dV%2Fdx=2x-28=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2x-28-0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2x=28\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=14\"$ \r
\n" ); document.write( "\n" ); document.write( "Since V''(x)=2, then the extrema is a minimum.
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\n" ); document.write( "You can also check it graphically.
\n" ); document.write( " $\"+graph%28+300%2C+300%2C+-7%2C+28%2C+-200%2C+100%2C+x%5E2-28x+%2B+13+%29+\"$ \n" ); document.write( "

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