document.write( "Question 758757: if $2,000 is invested at 7% compounded
\n" ); document.write( "(A) annually (B) quarterly (C) monthly
\n" ); document.write( "what is the amount after 5 years? How much interest is earned?\r
\n" ); document.write( "\n" ); document.write( "Please show the steps taken to get the answers, so I can better understand how to solce future problems such as this.
\n" ); document.write( "Thanks
\n" ); document.write( "

Algebra.Com's Answer #461656 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
if $2,000 is invested at 7% compounded
\n" ); document.write( "(A) annually (B) quarterly (C) monthly
\n" ); document.write( "what is the amount after 5 years? How much interest is earned?
\n" ); document.write( "***
\n" ); document.write( "compound interest formula: A=P(1+i)^n, P=initial investment, i=interest rate per period, n=number of periods, A=amount after n years.
\n" ); document.write( "..
\n" ); document.write( "For annual compounding:
\n" ); document.write( "P=2000
\n" ); document.write( "i=7%/1=0.07
\n" ); document.write( "n=5*1=5
\n" ); document.write( "A=2000(1+.07)^5
\n" ); document.write( "A=2000(1.07)^5
\n" ); document.write( "A=2000(1.4026)=$2805
\n" ); document.write( "..
\n" ); document.write( "For quarterly compounding:
\n" ); document.write( "P=2000
\n" ); document.write( "i=7%/4=0.0175
\n" ); document.write( "n=5*4=20
\n" ); document.write( "A=2000(1+.0175)^20
\n" ); document.write( "A=2000(1.0175)^20
\n" ); document.write( "A=2000(1.1448)=$2830
\n" ); document.write( "..
\n" ); document.write( "For monthly compounding:
\n" ); document.write( "P=2000
\n" ); document.write( "i=7%/12=0.005833
\n" ); document.write( "n=5*12=60
\n" ); document.write( "A=2000(1+.005833)^60
\n" ); document.write( "A=2000(1.005833)^60
\n" ); document.write( "A=2000(1.4176)=$2835
\n" ); document.write( "
\n" );