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On January 1, 2004, Sam invests $ 1000 in a fund for which the force of interest at time t is expressed by t=(0.1)(t1)^6, where

On January 1, 2004, Sam invests $ 1000 in a fund for which the force of interest at time t is expressed by t=(0.1)(t1)^6, where t is the number of years since January 1, 2004. Calculate the accumulated value of the fund on January 1, 2008.

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