Answer all questions with step by step explanation. Show all your work and use the information in order to answer the questions.

Problem A 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. Show your work, including intermediate calculations. 1. Is this deal a good one for the boss? If so, under what conditions? 2. How is this a good deal for the math major? Exercises 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? Laboratory Investigations for. AP Environmental Science 1405. Define exponential growth. Explain why it is so powerful. 6. Describe an example of exponential growth in another field, such as science. 7. Explain what external factors might put limits on this type of mathematical increase. Exercises