The gaming commission is introducing a new lottery game called Infinite Progresso. The winner of the Infinite Progresso jackpot will receive $600 at the end of January, $1,600 at the end of February, $2,600 at the end of March, and so on up to $11,600 at the end of December. At the beginning of the next year, the sequence repeats starting at $600 in January and ending at $11,600 in December. This annual sequence of payments repeats indefinitely. If the gaming commission expects to sell a minimum of 1,150,000 tickets, what is the minimum price they can charge for the tickets to break even, assuming the commission earns 3.00% /per/year/month on its investments and there is exactly one winning ticket?
The gaming commission is introducing a new lottery game called Infinite Progresso. The winner of the Infinite Progresso jackpot will receive $600 at the end of January, $1,600 at the end of February, $2,600 at the end of March, and so on up to $11,600 at the end of December. At the beginning of the next year, the sequence repeats starting at $600 in January and ending at $11,600 in December. This annual sequence of payments repeats indefinitely. If the gaming commission expects to sell a minimum of 1,150,000 tickets, what is the minimum price they can charge for the tickets to break even, assuming the commission earns 3.00% /per/year/month on its investments and there is exactly one winning ticket?
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