The gaming commission is introducing a new lottery game called Infinite Progresso. The winner of the Infinite Progresso jackpot will

receive $$900$ at the end of January, $$2,400$ at the end of February, $$3,900$ at the end of March, and so on up to $$17,400$ at the end of

December. At the beginning of the next year, the sequence repeats starting at $$900$ in January and ending at $$17,400$ in December.

This annual sequence of payments repeats indefinitely. If the gaming commission expects to sell a minimum of $900,000$ tickets, what is

the minimum price they can charge for the tickets to break even, assuming the commission earns $9\mathrm{.}00\frac{\%}{?}$ year on its investments and

there is exactly one winning ticket?

$

Do all calculations to $5$ decimal places and round final answer to $2$ decimal places. Tolerance is $+-$$$0\mathrm{.}03.$ the gaming commision infinite progresso. $900$ at end of january so on until $17400$ at the end of december. $9\%$ per year on its investments