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Prince deposits P10 000 into a fund today and deposits P20 000 into the same fund...

Prince deposits P10 000 into a fund today and deposits P20 000 into the same fund fifteen years later. Interest is credited at a nominal discount rate of d compounded quarterly for the first 10 years, and at a nominal interest rate of 6% compounded semiannually thereafter. The accumulated balance in the fund at the end of 30 years is P100 000. a) By first drawing a sketch diagram, write down in terms of d the accumulated value of the initial deposit at the end of 30 years. [6] b) Write down the accumulated value of the second deposit at the end of 30 years. [5] c) Write down an equation for the total accumulated value at the end of 30 years, solve for d. [5]

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