SOLUTION: Darian’s IRA has fallen 12.6% since the beginning of the year to $142,500.49. What was the value of her IRA at the beginning of the year?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Darian’s IRA has fallen 12.6% since the beginning of the year to $142,500.49. What was the value of her IRA at the beginning of the year?       Log On


   

Question 383333: Darian’s IRA has fallen 12.6% since the beginning of the year to $142,500.49. What was the value of her IRA at the beginning of the year?
Answer by stanbon(75887) About Me  (Show Source):
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Darian’s IRA has fallen 12.6% since the beginning of the year to $142,500.49. What was the value of her IRA at the beginning of the year?
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Let "x" be the value at the beginniing of the year.
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Equation:
x - 0.126x = 142,500.49
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0.874x = 142,500.49
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x = 142,500.49/0.874
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x = $163,044.04
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Cheers,
Stan H.