document.write( "Question 651645: the value v(t) insents of a share is give by v(t) = 2t^2-16t+40 where t represents the number of weeks since the shares purchase\r
\n" ); document.write( "\n" ); document.write( "a) after how many weeks is the share worth 58 cents?
\n" ); document.write( "b)can the share reach a value of 6 cents? justify your answerr
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Algebra.Com's Answer #407751 by nerdybill(7384)\"\" \"About 
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the value v(t) insents of a share is give by v(t) = 2t^2-16t+40 where t represents the number of weeks since the shares purchase\r
\n" ); document.write( "\n" ); document.write( "a) after how many weeks is the share worth 58 cents?
\n" ); document.write( "set v(t) to 58 and solve for t:
\n" ); document.write( "v(t) = 2t^2-16t+40
\n" ); document.write( "58 = 2t^2-16t+40
\n" ); document.write( "dividing both sides by 2:
\n" ); document.write( "29 = t^2-8t+20
\n" ); document.write( "0 = t^2-8t-9
\n" ); document.write( "factoring:
\n" ); document.write( "0 = (t+1)(t-9)
\n" ); document.write( "t = {-1, 9}
\n" ); document.write( "toss out the negative solution leaving:
\n" ); document.write( "t = 9 weeks
\n" ); document.write( ".
\n" ); document.write( "b)can the share reach a value of 6 cents? justify your answerr
\n" ); document.write( "answer: NO
\n" ); document.write( "set v(t) to 6 and solve for t:
\n" ); document.write( "v(t) = 2t^2-16t+40
\n" ); document.write( "6 = 2t^2-16t+40
\n" ); document.write( "3 = t^2-8t+20
\n" ); document.write( "0 = t^2-8t+17
\n" ); document.write( "calculate discriminate:
\n" ); document.write( "b^2 -4ac
\n" ); document.write( "64 - 4(1)(17)
\n" ); document.write( "64 - 68
\n" ); document.write( "-4
\n" ); document.write( "since the discriminate is negative there is NO real solutions
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