document.write( "Question 1068500: Hi,\r
\n" ); document.write( "\n" ); document.write( "I'm trying to solve the problem listed below. However, I'm 99.99% sure I'm using the incorrect formula. My question is, would you be able to let me know the proper formula I use? (I always confuse myself re: which formula to used based on the way in which the problem is worded.)\r
\n" ); document.write( "\n" ); document.write( "\"Suppose you want to accumulate $120,000 for your retirement in 30 yrs. You have two choices: Plan A is a single deposit into an account with annual compounding and an APR of 5% interest. Plan B is a single deposit into an account with continuous compounding and an APR of 4.8%. How much do you need to deposit in each account in order to reach the goal?\r
\n" ); document.write( "\n" ); document.write( "Plan A:
\n" ); document.write( "P = ?
\n" ); document.write( "Y = 30
\n" ); document.write( "n = 1
\n" ); document.write( "APR = 0.05
\n" ); document.write( "A = $120,000\r
\n" ); document.write( "\n" ); document.write( "Plan B:
\n" ); document.write( "P = ?
\n" ); document.write( "Y = 30
\n" ); document.write( "n = 1
\n" ); document.write( "APR = 0.048
\n" ); document.write( "A = $120,000\r
\n" ); document.write( "\n" ); document.write( "I tried multiple formulas and would receive extremely large amounts as an answer.\r
\n" ); document.write( "\n" ); document.write( "As an example -- using Plan A as a reference -- one of the many formulas I tried is:\r
\n" ); document.write( "\n" ); document.write( "$120000(1+0.05/1)^(1*30) = 518633.085 (?) this is when I realize I'm using the incorrect formula.\r
\n" ); document.write( "\n" ); document.write( "Also, is there any easy way to remember when to use a formula based on the way a problem is worded?\r
\n" ); document.write( "\n" ); document.write( "Thanks for any help you can provide.
\n" ); document.write( "

Algebra.Com's Answer #683735 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
Annually,
\n" ); document.write( "\"F=P%281%2Bi%29%5Et\"
\n" ); document.write( "\"120000=P%281%2B0.05%29%5E14\"
\n" ); document.write( "\"P=120000%2F%281.05%29%5E14\"
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "Continuously,
\n" ); document.write( "\"F=Pe%5E%28it%29\"
\n" ); document.write( "\"120000=Pe%5E%280.048%2814%29%29\"
\n" ); document.write( "\"P=120000%2Fe%5E%280.672%29\"\r
\n" ); document.write( "\n" ); document.write( "
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