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(20 points) Josh makes deposits of 1000 at time 0 and X at time 4. His balance grows at a force of interest dt =

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(20 points) Josh makes deposits of 1000 at time 0 and X at time 4. His balance grows at a force of interest dt = t- t> 0. The amount of interest earned from time 3 to time 6 is also X. Calculate X

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