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Because each amount has an equal chance of being picked, multiply each $ amount by 1/5 and add them all together. Then since he pays 30% in taxes multiply the previous sum by (1-.3) to find the average after taxes.
 
Because each amount has an equal chance of being picked, multiply each $ amount by 1/5 and add them all together. Then since he pays 30% in taxes multiply the previous sum by (1-.3) to find the average after taxes.
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//Comment AJ Hartnett
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I'm not too sure but I think that you should multiply by .7 before you multiply each by 1/5th and add them all together. In this specific case it obviously works out to be equal, but had you been doing something else more complex, I'm not sure they would...like when we did that problem regarding the average rate to finish a mile and the average time to finish a mile in class.

Latest revision as of 03:49, 24 September 2008

Because each amount has an equal chance of being picked, multiply each $ amount by 1/5 and add them all together. Then since he pays 30% in taxes multiply the previous sum by (1-.3) to find the average after taxes.


//Comment AJ Hartnett I'm not too sure but I think that you should multiply by .7 before you multiply each by 1/5th and add them all together. In this specific case it obviously works out to be equal, but had you been doing something else more complex, I'm not sure they would...like when we did that problem regarding the average rate to finish a mile and the average time to finish a mile in class.

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Basic linear algebra uncovers and clarifies very important geometry and algebra.

Dr. Paul Garrett