document.write( "Question 1046833: Given the cost function C= .25x^2 + 10x +200, fund the number of units x that would have a cost of $2000. Round answer to the nearest unit. \n" ); document.write( "

Algebra.Com's Answer #662286 by josmiceli(19441) $\"\"$ $\"About$

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$\"+C+=+.25x%5E2+%2B+10x+%2B+200+\"$
\n" ); document.write( " $\"+C+=+2000+\"$
\n" ); document.write( " $\"+2000+=+.25x%5E2+%2B+10x+%2B+200+\"$
\n" ); document.write( " $\"+.25x%5E2+%2B+10x+-+1800+=+0+\"$
\n" ); document.write( " $\"+x%5E2+%2B+40x+-+7200+=+0+\"$
\n" ); document.write( "Use quadratic formula
\n" ); document.write( " $\"+x+=+%28+-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+\"$
\n" ); document.write( " $\"+a+=+1+\"$
\n" ); document.write( " $\"+b+=+40+\"$
\n" ); document.write( " $\"+c+=+-7200+\"$
\n" ); document.write( " $\"+x+=+%28+-40+%2B-+sqrt%28+40%5E2+-+4%2A1%2A%28-7200%29+%29%29+%2F+%282%2A1%29+\"$
\n" ); document.write( " $\"+x+=+%28+-40+%2B-+sqrt%28+1600+%2B+28800+%29%29+%2F+2+\"$
\n" ); document.write( " $\"+x+=+%28+-40+%2B-+sqrt%28+30400+%29%29+%2F+2+\"$
\n" ); document.write( " $\"+x+=+%28+-40+%2B+174.356+%29+%2F+2+\"$
\n" ); document.write( " $\"+x+=+134.356+%2F+2+\"$
\n" ); document.write( " $\"+x+=+67.178+\"$
\n" ); document.write( "----------------------------
\n" ); document.write( "67 units have a cost of $2000
\n" ); document.write( "check:
\n" ); document.write( " $\"+2000+=+.25x%5E2+%2B+10x+%2B+200+\"$
\n" ); document.write( " $\"+2000+=+.25%2A67.178%5E2+%2B+10%2A67.178+%2B+200+\"$
\n" ); document.write( " $\"+2000+=+1128.221+%2B+671.78+%2B+200+\"$
\n" ); document.write( " $\"+2000+=+2000.001+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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