On the first day, I will pay you $1000 in the morning. At th

jennybenny02

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On the first day, I will pay you $1000 in the morning. At the end of the day, you must pay me a commision of $100. After day 1, I will double what you have at the end of the day, but you must double the amount that you pay me. Will you work for me for a month??

So I made a table trying to figure this out
Day. .$Earned . .$ Lost . . Total End of Day
..1 . . . .$1000. . . .-$100. . . . .=$900
..2 . . . .$1800. . . .-$200. . . .=$1600
..3 . . . .$3200. . . .-$400. . . .=$2800
..4 . . . .$5600. . . .-$800. . . .=$4800
..5 . . . .$9600. . .-$1600. . . .=$8000
..6 . . .$16000. . .-$3200. . .=$12800
.. . . . . . . . . . . . . . . . . . . . . . . . . .
.. . . . . . . . . . . . . . . . . . . . . . . . . .
.10. . .+$51200. . . .-$51200. . . .= 0

After day 10, you are left with $0. This means you will have negative dollar amount after day 10, since doubling 0 will always be 0, but the commision is still doubled.

My brain is fried right now from too much homework, I need help figuring out the equation for this one. Thanks
 
It looks to me like you have it, except for the "will always be 0" part. After day 11, I have -104,200. That's not good -- for me.
 
Yes I understand that it would become negative... That wouldnt work for me either! :shock:

How can I support my answer analytically?
 
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