SOLUTION: 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 cont

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: 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 cont      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

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.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
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.
**
r(t)=8t2+12t+750
1506=8t2+12t+750
0=8t2+12t+750-1506
0=8t2+12t-756
0=2t2+3t-189
solve for t using following quadratic formula:
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
a=2, b=3, c=-189
ans: t=-10.5 reject (x>0)
or
t=9
year after 1998 in which the company’s revenue will be $1506 thousands=2007