document.write( "Question 976339: Find the interest rate for the following deposit and compound amount. $8,000.00 deposit accumulating to $10,642.92 compounded quarterly for 5 years. Round to hundredths of a percent. \r
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document.write( "Please solve. Thank you. \n" );
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Algebra.Com's Answer #597981 by lwsshak3(11628) ![]() You can put this solution on YOUR website! Find the interest rate for the following deposit and compound amount. $8,000.00 deposit accumulating to $10,642.92 compounded quarterly for 5 years. Round to hundredths of a percent. \n" ); document.write( "*** \n" ); document.write( "Compound Interest Formula: A=P(1+r/n)^nt, P=initial investment, r=interest rate, n=number of compounding period per year, A=amt after t-years. \n" ); document.write( "For given problem: \n" ); document.write( "P=8000 \n" ); document.write( "r=interest rate \n" ); document.write( "n=4 \n" ); document.write( "t=5 \n" ); document.write( "A=10642.92 \n" ); document.write( ".. \n" ); document.write( "10642.92=8000(1+r/4)^4*5 \n" ); document.write( "10642.92/8000=(1+r/4)^20 \n" ); document.write( "raise both sides by (1/20) \n" ); document.write( "1.014375=1+r/4 \n" ); document.write( "r/4=0.014375 \n" ); document.write( "r=.0575=5.75% \n" ); document.write( " |