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A fund starts with a zero balance at time zero. The fund accumulates with the following varying force of interest: t = t 2 +

A fund starts with a zero balance at time zero. The fund accumulates with the following varying force of interest: t=t2+12t, t>0 .

A deposit of $100,000 is made at time two. Calculate the number of years from the time of deposit for the fund to double.

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