# Find the Year(s) #2

• Jan 24th 2010, 05:20 AM
sologuitar
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
• Jan 24th 2010, 07:33 AM
skeeter
Quote:

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?
• Jan 24th 2010, 08:56 PM
sologuitar
Thanks
Quote:

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.