document.write( "Question 1054609: How would you solve the questions:\r
\n" ); document.write( "\n" ); document.write( "How long will it take for $1400 dollars to grow to $11,900 at an interest rate of 2.3% if the interested is compounded quarterly? I am taking the amount and dividing it by the initial investment. My next step has been to plug the following into my TI 84 calculator:\r
\n" ); document.write( "\n" ); document.write( "log(1+.023)8.5\r
\n" ); document.write( "\n" ); document.write( "Can you tell me what I am doing wrong? I get 8.6 years but the correct answer should be 20.65 years. \r
\n" ); document.write( "\n" ); document.write( "Thank you
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Algebra.Com's Answer #669814 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "How would you solve the questions:\r
\n" ); document.write( "\n" ); document.write( "How long will it take for $1400 dollars to grow to $11,900 at an interest rate of 2.3% if the interested is compounded quarterly? I am taking the amount and dividing it by the initial investment. My next step has been to plug the following into my TI 84 calculator:\r
\n" ); document.write( "\n" ); document.write( "log(1+.023)8.5\r
\n" ); document.write( "\n" ); document.write( "Can you tell me what I am doing wrong? I get 8.6 years but the correct answer should be 20.65 years. \r
\n" ); document.write( "\n" ); document.write( "Thank you
\n" ); document.write( "
It CANNOT be 20.65 years. That's IMPOSSIBLE! It's just too short a time!
\n" ); document.write( "You must be either looking at the wrong answer or failed to include the correct figures.
\n" ); document.write( "\"A+=+P%281+%2B+i%2Fm%29%5E%28mt%29\"
\n" ); document.write( "\"%22%2411%2C900%22+=+%22%241%2C400%22%281+%2B+.023%2F4%29%5E%284t%29\" ------ Substituting $11,900 for A, $1,400 for P, .023 for i, and 4 (quarterly) for m
\n" ); document.write( "\"%22%2411%2C900%22%2F%22%241%2C400%22+=+1.00575%5E%284t%29\" ------ Dividing both sides by $1,400, and simplifying \"1+%2B+.023%2F4\"
\n" ); document.write( "\"8.5+=+1.00575%5E%284t%29\"
\n" ); document.write( "\"4t+=+log+%281.00575%2C+8.5%29\" ------- Converting to LOGARITHMIC form
\n" ); document.write( "\"4t+=+log+%288.5%29%2Flog+%281.00575%29\" ------ Applying change of base
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