Angela and Brian have $1000 each and plan to put it into an account earning interest compounded continuously. Bank A offers 2.7% interest. Bank B offers 1.5% interest but will give everyone a $100 bonus at the beginning. (That $100 also gets deposited in the account and earns interest). If Angela puts her money in Bank A and Brian puts his in account B, when will they have the exact same amount in their accounts? Give an exact answer.

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