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Alice and Bob deposit $10000 into each of their bank accounts. Both of their bank...

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Accounting

Alice and Bob deposit $10000 into each of their bank accounts. Both of their bank accounts

accrue interest at a rate of 5% per year. Alice has a high paying job, and deposits an additional $A per year.Assume that the interest and additional deposits are compounded continuously.

(1) Show that the rate of growth of Alice's bank account is always a constant multiple of the rate of

growth of Bob's bank account

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