document.write( "Question 195997: If I would like $75,000 in 15 years how much do I need to set aside in an account today,if the account pays an interset of 4.9% compounded semiannually?
\n" ); document.write( "I am confused on how to use the correct formula when I do not know what my current value is now?
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Algebra.Com's Answer #146962 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
The formula is
\n" ); document.write( "\"A+=+P%2A%281+%2B+r%2Fn%29%5E%28nt%29\"
\n" ); document.write( "\"A\" is the amount you end up with after \"t\" years
\n" ); document.write( "\"P\" is amount invested initially
\n" ); document.write( "\"n\" is the number of times per years compounded
\n" ); document.write( "\"r\" is the interest rate
\n" ); document.write( "-----------------------------
\n" ); document.write( "given:
\n" ); document.write( "\"A+=+75000\"
\n" ); document.write( "\"t+=+15\"
\n" ); document.write( "\"n+=+2\"
\n" ); document.write( "\"r+=+.049\"
\n" ); document.write( "--------------
\n" ); document.write( "You need to find \"P\"
\n" ); document.write( "\"A+=+P%2A%281+%2B+r%2Fn%29%5E%28nt%29\"
\n" ); document.write( "\"75000+=+P%2A%281+%2B+.049%2F2%29%5E%282%2A15%29\"
\n" ); document.write( "\"75000+=+P%2A1.0245%5E30\"
\n" ); document.write( "\"P+=+75000%2A1.0245%5E%28-30%29\"
\n" ); document.write( "\"P+=+75000%2A.48377243\"
\n" ); document.write( "\"P+=+36282.93\"
\n" ); document.write( "I need to put $36,282.93 in the account
\n" ); document.write( "check:
\n" ); document.write( "\"A+=+P%2A%281+%2B+r%2Fn%29%5E%28nt%29\"
\n" ); document.write( "\"A+=+36282.93%2A%281+%2B+.049%2F2%29%5E30\"
\n" ); document.write( "\"A+=+36282.93%2A1.0245%5E30\"
\n" ); document.write( "\"A+=+36282.93%2A2.067088\"
\n" ); document.write( "\"A+=+74999.99\" close enough
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