Problema Solution
The revenue for a small company is given by the quadratic function r(t)=8t^2+8t+450 where t is the number of years since 2010 and r(t) is in thousands of dollars. If this trend continues, find the year after 2010 in which the company's revenue will be $546 thousand. Round to the nearest whole year.
Answer provided by our tutors
we need to find t , t>0 such that r(t) = $546
since r(t)=8t^2+8t+450 we have
8t^2+8t+450 = 546
by solving we find
t = 3 years
click here to see the step by step solution of the quadratic equation
3 years after 2010 is 2013.
In the year of 2013 the company's revenue will be $546 thousand.