The annual net sales (revenue) earned by Nintendo in the fiscal years 2000-2014, can be approximated by

*R*(*t*) = −3.75*t*^{3} + 65.8*t*^{2} − 206*t* + 578 billion yen per year (0 ≤ *t* ≤ 14),

where *t* is time in years. (*t* = 0 represents the start of fiscal year 2000.)†

Suppose that, from the beginning of fiscal year 2003 on, Nintendo invested its revenue in an investment yielding 7% compounded continuously. What, to the nearest ¥100 billion, would the total value of Nintendo's revenue from the start of fiscal year 2003 to the start of fiscal year 2014 have been at the start of fiscal year 2014? HINT

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