How many years will it take an investment to double if the interest rate is 8.4% compounded at the given intervals? (a) Quarterly (b) Monthly (c) Continuously

Jack and Diane work at a bakery. Jack can make either five batches of cookies or two cakes per hour, while Diane can make either four batches of cookies or three cakes per hour. At 9:00 a.m. they receive an order for 24 batches of cookies and nine cakes. What time is the soonest they can have the order ready?

The city council is to decide on a proposal to raise property taxes. Suppose Ms. Tuttle is the chair and the council’s other two members are Mr. Jones and Mrs. Doubtfire. The voting procedure works as follows: Excluding the chair, Mr. Jones and Mrs. Doubtfire simultaneously write down their votes on slips of paper. Each writes either for or against the tax increase. The secretary of the city council then opens the slips of paper and announces the vote tally. If the secretary reports that both slips say for, then the tax increase is implemented and the game is over. If both vote against, then the tax increase is not implemented and, again, the game is over. However, if it is reported that the vote is one for and one against, then Ms. Tuttle has to vote. If she votes for, then the tax increase is implemented, and if she votes against, then it is not. In both cases, the game is then over. As to payoffs, if the tax increase is implemented, then Mrs. Doubtfire and Mr. Jones each receive a…

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