The total assets of a company in millions of dollars can be modeled by the function f(x)=-0.5^2 +5x+2 where x represents the number of years that have passed since the company was founded.
To determine the total assets of the company after a certain number of years, we simply need to substitute the number of years (x) into the function f(x).
For example, to find the total assets after 5 years:
f(5) = -0.5(5)^2 + 5(5) + 2
f(5) = -0.5(25) + 25 + 2
f(5) = -12.5 + 27
f(5) = 14.5
Therefore, after 5 years, the total assets of the company would be $14.5 million.