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1. You are thinking about buying a piece of art that costs $20,000. The art dealer is proposing the following deal: He will lend you

1. You are thinking about buying a piece of art that costs $20,000. The art dealer is proposing the following deal: He will lend you the money, and you will repay the loan by making the same payment every two years for the next 10 years (i.e., a total of 5 payments). If the interest rate is 5% per year, how much will you have to pay every two years?

2. You are saving for retirement. To live comfortably, you decide you will need to save $2,000,000 by the time you are 65. Today is your 30th birthday, and you decide, starting today and continuing on every birthday up to and including your 65th birthday, that you will put the same amount into a savings account. If the interest rate is 5%, how much must you set aside each year to make sure that you will have $2,000,000 in the account on your 65th birthday?

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