document.write( "Question 630442: The revenue for a small company is given by the quadratic function r(t)=8t2+12t+750 where t is the number of years since 1998 and r(t) is in thousands of dollars. IF the trend continues, find the year after 1998 in which the company’s revenue will be $1506 thousands. Round to the nearest whole number. \n" ); document.write( "
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The revenue for a small company is given by the quadratic function r(t)=8t2+12t+750 where t is the number of years since 1998 and r(t) is in thousands of dollars. IF the trend continues, find the year after 1998 in which the company’s revenue will be $1506 thousands. Round to the nearest whole number.
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\n" ); document.write( "r(t)=8t2+12t+750
\n" ); document.write( "1506=8t2+12t+750
\n" ); document.write( "0=8t2+12t+750-1506
\n" ); document.write( "0=8t2+12t-756
\n" ); document.write( "0=2t2+3t-189
\n" ); document.write( "solve for t using following 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=2, b=3, c=-189
\n" ); document.write( "ans: t=-10.5 reject (x>0)
\n" ); document.write( "or
\n" ); document.write( "t=9
\n" ); document.write( "year after 1998 in which the company’s revenue will be $1506 thousands=2007\r
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