document.write( "Question 131149: compound interest
\n" ); document.write( "$500. 5% 10yrs compound quarterly. I know the answer is 821.81 but how. and I know the forumla ia a=p(1+ r/n)^nt help please thank you
\n" ); document.write( "

Algebra.Com's Answer #95762 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "\"A=p%281%2Br%2Fn%29%5E%28n%2At%29\" Start with the compound interest formula\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"A=500%281%2B0.05%2F4%29%5E%284%2A10%29\" Plug in p=500, r=0.05 (this is the decimal form of 5% interest), n=4, and t=10\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"A=500%281%2B0.0125%29%5E%284%2A10%29\" Divide 0.05 by 4 to get 0.0125\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"A=500%281%2B0.0125%29%5E%2840%29\" Multiply the exponents 4 and 10 to get 40\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"A=500%281.0125%29%5E%2840%29\" Add 1 and 0.0125 to get 1.0125\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"A=500%281.64361946348701%29\" Raise 1.0125 to the 40 th power to get 1.64361946348701\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"A=821.809731743505\" Multiply 500 and 1.64361946348701 to get 821.809731743505\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So if you invest $500 at an interest rate of 5%, which is compounded 4 times a year for 10 years, the return is about $821.81 (which is rounded to the nearest cent)
\n" ); document.write( "
\n" );