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Math Help - Find the Year(s) #2

  1. #1
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    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
    Last edited by mr fantastic; January 24th 2010 at 04:01 PM. Reason: Edited post title
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  2. #2
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    Quote Originally Posted by sologuitar View Post
    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?
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    Quote Originally Posted by skeeter View Post
    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.
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