I understand that T = 42.5 billion for part (a) of the question. I then used the quadratic formula to find x. However, when I replaced T with 42.5, I got the wrong year and thus the wrong answer. For part (b), I let T = 30 and got the wrong year also. What should T be IN BOTH CASES to get the right answer?
Here is the question:
The total resources T (in billions of $) of the Pension Benefit Guaranty Corporation, the government agency that insures pensions, can be approximated by the following equation T = -0.26x^2 + 3.62x + 30.18, where x is the number of years after the year 2000. Determine when the total resources are at the given level.
(a) $42.5 billion
(b) $30 billion