document.write( "Question 970240:  Will someone solve and explain this question:\r
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document.write( "Q: Mr. Sim invests $9000 at 2% per annum compound interest compounded daily. What is this amount at the end of the third day? \n" );
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| Algebra.Com's Answer #592881 by LinnW(1048)     You can put this solution on YOUR website! At 2% per year, the daily interest rate is ( 2% / 365 ). \n" ); document.write( "( 2% / 365 ) = 0.02/365 = 0.0000547945 \n" ); document.write( "We need to apply the interest rate over 3 days. \n" ); document.write( "If r is the rate of interest for one day, \n" ); document.write( "(1+r)(1+r)(1+r)*9000 will give us the amount in the account \n" ); document.write( "after 3 days. \n" ); document.write( "(1+r)(1+r)(1+r) = (1+r)^3 \n" ); document.write( "so (1+r)(1+r)(1+r)*9000 = (1+r)^3*9000 \n" ); document.write( "Since r = 0.0000547945 \n" ); document.write( "(1+r)^3*9000 = (1+0.0000547945)^3*9000 \n" ); document.write( "= (1.0000547945)^3*9000 \n" ); document.write( "= 1.000164392507476207796812933625 * 9000 \n" ); document.write( "= approximately 9001.47953 \n" ); document.write( " |