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# A certain Social Security recipient will receive an annual

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Eternal Intern
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22 Jul 2003, 17:44
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

. A certain Social Security recipient will receive an annual benefit of $12,000 provided he has annual earnings of$9,360 or less, but the benefit will be reduced by $1 for every$3 of annual earnings over \$9,360. What amount of total annual earnings would result in a 50 percent reduction in the recipient's annual Social Security benefit? (Assume Social Security benefits are not counted as part of annual earnings.)
Director
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22 Jul 2003, 17:58
Annual earning = 9360 + 3*6000 = 27360
Eternal Intern
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22 Jul 2003, 19:23
Yeah, but show how you got 50 percent!

Victor
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23 Jul 2003, 04:53
If X is the total income which yields only 50% of annual SS benifit ( which equals to 6000), we have

(X-9360) / 3 = 6000 ( For every 3 dollars in excess of 9360, reduction in benifit = 1 )

Or, X = 9360 + 3 * 6000 = 27630
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Brainless

23 Jul 2003, 04:53
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