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John won a lottery that will pay him $250,000 at the end of each of the next twenty years. Assuming an appropriate interest rate is

  1. John won a lottery that will pay him $250,000 at the end of each of the next twenty years. Assuming an appropriate interest rate is 8% compounded annually, what is the present value of this amount?
  2. A machine is purchased by making payments of $8,000 at the beginning of each of the next five years. The interest rate was 10%. What was the cost of the machine?

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