# Thread: Find the Year(s) #2

1. ## Find the Year(s) #2

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) $30 billion 2. Originally Posted by sologuitar I understand that T = 42.5 billion for part (a) of the question. I then used the quadratic formula to find x. However, when I replaced T with 42.5, I got the wrong year and thus the wrong answer. For part (b), I let T = 30 and got the wrong year also. What should T be IN BOTH CASES to get the right answer? Here is the question: The total resources T (in billions of$) 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
the numbers for T are correct ... since you posted no workings, how can one tell where you made a possible mistake?

3. ## Thanks

Originally Posted by skeeter
the numbers for T are correct ... since you posted no workings, how can one tell where you made a possible mistake?
I was able to figure it out. Yes, T = 42.5 for part (a) and then T = 30 for part (b) of the same question.