A wind turbine engineering firm has both the experience and an undeveloped plan for a new and more efficient design. A

manufacturer has offered to pay the firm $$7,000,000$ for a working prototype, with complete documentation, $5$ years from today.

The turbine design firm wants to earn $16\%$ per year on its money. How much can the turbine design firm afford to invest, expressed

as if its entire investment were to take place today?

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$

million

Carry all interim calculations to $5$ decimal places and then round your final answer to $3$ decimal places. Please enter your answer in

millions of dollars. The tolerance is $+-0\mathrm{.}003.$