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At t = 0, $5, 000 is deposited in fund X and $10, 000 is deposited in fund Y . Fund X earns force of

At t = 0, $5, 000 is deposited in fund X and $10, 000 is deposited in fund Y . Fund X earns force of interest t = t k for some k > 0 while fund Y earns nominal interest i (12) = 7%. Find k if both accounts have the same amount of money after 5 years.

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