effective interest rates?

Salman

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hi there..heres a question that bothers me a lot..hav exams tommrrow..pliz help..

the question is done using compound interest formula

question:$500 is deposited on 1 january 1996 in an account paying 12% compounded half yearly.on 1 january 1999, $400 was deposited in another accountpaying 15.5% per annum effective.find the time when the two accounts will be of equal value..using axact method..

the answer is 20.780 years..but i dont know the working a how to derive to the answer..
pliz help,,..many thanks..enjoy
 
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