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If A dollars are placed in an account that pays 5% interest, compounded continuously, and A dollars are added to the account each year, the

If A dollars are placed in an account that pays 5% interest, compounded continuously, and A dollars are added to the account each year, the number of dollars n in the account after t years is given by dn/dt = A + 0.05n. Find n for A = $2000 and t = 5 years.

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