document.write( "Question 885579: Harry deposits $2000 in a saving account that compounds annually, and plans to leave the money in the account for 2 years. If Harry wants his account to increase in value to $3300, then the interest rate must be greater than what percent?
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Algebra.Com's Answer #535250 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Harry deposits $2000 in a saving account that compounds annually, and plans to leave the money in the account for 2 years. If Harry wants his account to increase in value to $3300, then the interest rate must be greater than what percent? \n" ); document.write( "*** \n" ); document.write( "Compound Interest Formula: A=P(1+i)^n, P=initial investment, i=interest rate per compounding period, n=number of periods, A=amount after n-periods. \n" ); document.write( "For given problem: \n" ); document.write( "P=2000 \n" ); document.write( "i=to be determined \n" ); document.write( "n=2 \n" ); document.write( "A=3300 \n" ); document.write( "..\r \n" ); document.write( "\n" ); document.write( "3300=2000(1+i)^2 \n" ); document.write( "3300/2000=(1+i)^2 \n" ); document.write( "33/20=(1+i)^2 \n" ); document.write( "take sqrt of both sides \n" ); document.write( "√(33/20)=1+i \n" ); document.write( "i=√(33/20)-1=0.2845 (rounded) \n" ); document.write( "interest rate must be greater than what percent? 28.45% \n" ); document.write( " \n" ); document.write( " |