document.write( "Question 942541: Over 2 years, how much more does $2000 in a savings account with an APR of 5.2% compounded quarterly earn in interest than the same amount in a savings account with an APR of 4.8% compounded monthly? \n" ); document.write( "
Algebra.Com's Answer #574592 by TimothyLamb(4379)\"\" \"About 
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compound-interest formula:
\n" ); document.write( "v = p( 1 + (r/n) )^(nt)
\n" ); document.write( "where:
\n" ); document.write( "v = final value
\n" ); document.write( "p = initial (principal) value
\n" ); document.write( "r = interest rate (as a decimal)
\n" ); document.write( "n = number of compounding periods per year
\n" ); document.write( "t = number of years
\n" ); document.write( "---
\n" ); document.write( "interest from 5.2%:
\n" ); document.write( "v = 2000*( 1 + (0.052/4) )^(4*2)
\n" ); document.write( "v = 2217.71
\n" ); document.write( "i = 2217.71 - 2000
\n" ); document.write( "i = 217.71
\n" ); document.write( "---
\n" ); document.write( "interest from 4.8%:
\n" ); document.write( "v = 2000*( 1 + (0.048/12) )^(12*2)
\n" ); document.write( "v = 2201.10
\n" ); document.write( "i = 2201.10 - 2000
\n" ); document.write( "i = 201.10
\n" ); document.write( "---
\n" ); document.write( "answer:
\n" ); document.write( "d = 217.71 - 201.10
\n" ); document.write( "d = 16.61
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