A math major is home for a vacation break and takes a job for thirty days. In ne

Question

A math major is home for a vacation break and takes a job for thirty days. In negotiating for a salary, she tells her employer that instead of a wage of $20/hr, she would accept one that pays one penny the first day, then doubles to two cents the next day, four cents the third day, and so on for the month. The employer thinks that this is a good deal for him and agrees. Assume a work week is 5 days and a work day is 8 hours long. 1. How is this a good deal for the math major? 3. When does the student break even-that is, on what day has she made as much as she would have earning $20 per hour? 4. What is the total differential in the two payment methods over the 30-day period?

Explanation / Answer

earning of a month (say 20 days of wok for 8 hours daily) = 8(.01+.02+...+.20) = $ 16.8 had he worked for 20 days with 20 $/hr he would have got 8*20*20= 3200$ thus its a very bad deal....:( on nth day, wage = .01*n =20 n= 2000 days

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