Question by Summer Clouds - Discuss with MathYouLike

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24/10/2017 at 10:38

Safir can choose how he gets paid for a job. He can be paid $1000 all at once, or he can earn $1 for the first day, $2 for the second, $4 for the third, and so on, so that each day’s pay is double that of the previous day. What is the positive difference of the total amounts Samir can be paid for completing a ten-day job, based on these two compensation plans?

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ForOver Coordinator 24/10/2017 at 15:21

When Samir completes a ten-day job with the second ways, we have the total amounts he can earn:

\(1+2+4+8+16+32+64+128+256+512=1023\)

So the positive difference of the total amounts Samir can be paid :

\(1023-1000=23\)

Answer : 23.
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