SOLUTION: The revenue for a small company is given by the quadratic function r(t)=15t2+7t+830 where t is the number of years since 1998 and r(t) is in thousands of dollars. If this trend co

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Question 749152: The revenue for a small company is given by the quadratic function r(t)=15t2+7t+830 where t is the number of years since 1998 and r(t) is in thousands of dollars. If this trend continues, find the year after 1998 in which the company's revenue will be $1412 thousand. Round to the nearest whole year.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+r%28t%29+=+15t%5E2+%2B+7t+%2B+830+
Find t when +r%28t%29+=+1412+
+1412+=+15t%5E2+%2B+7t+%2B+830+
+15t%5E2+%2B+7t+-+582+=+0+
+t+=+%28-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+
+a+=+15+
+b+=+7+
+c+=+-582+
+t+=+%28-7+%2B-+sqrt%28+7%5E2+-+4%2A15%2A%28-582%29+%29%29+%2F+%282%2A15%29+
+t+=+%28-7+%2B-+sqrt%28+49+%2B+34920+%29%29+%2F+30+
+t+=+%28-7+%2B-+sqrt%28+34969+%29%29+%2F+30+
+t+=+%28+-7+%2B+187+%29+30+ ( can't use the negative square root )
+t+=+180%2F30+
+t+=+6+
1998 + 6 = 2004