document.write( "Question 998345: An investment of $10,000 with Barnes Bank earns a 2.42% APR compounded monthly.
\n" ); document.write( "Determine how long it will take the investment to double
\n" ); document.write( "Pleas help, thank you!
\n" ); document.write( "

Algebra.Com's Answer #616249 by MathTherapy(10552)\"\" \"About 
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An investment of $10,000 with Barnes Bank earns a 2.42% APR compounded monthly.
\n" ); document.write( "Determine how long it will take the investment to double
\n" ); document.write( "Pleas help, thank you!
\n" ); document.write( "
Future value formula: \"A+=+P%281+%2B+i%2Fm%29%5E%28mt%29\", with:
\n" ); document.write( "P = Principal invested
\n" ); document.write( "A = Future value, or in this case, 2P (Original principal amount will double)
\n" ); document.write( "i = interest rate (2.42%, or .0242, in this case)
\n" ); document.write( "m = compounding periods, per year (12 in this case)
\n" ); document.write( "t = time, in years (Unknown)\r
\n" ); document.write( "\n" ); document.write( "\"A+=+P%281+%2B+i%2Fm%29%5E%28mt%29\"
\n" ); document.write( "\"2P+=+P%281+%2B+.0242%2F12%29%5E%2812t%29\"
\n" ); document.write( "\"2P%2FP+=+%281+%2B+.0242%2F12%29%5E%2812t%29\"
\n" ); document.write( "\"2+=+%281+%2B+.0242%2F12%29%5E%2812t%29\"
\n" ); document.write( "\"2+=+%281+%2B+.002017%29%5E%2812t%29\"
\n" ); document.write( "\"2+=+%281.002017%29%5E%2812t%29\"
\n" ); document.write( "\"log+%281.002017%2C+2%29+=+12t\" ------- Changing to LOGARITHMIC form
\n" ); document.write( "\"log%282%29%2Flog%281.002017%29+=+12t\" -------- Applying change of base
\n" ); document.write( "\"t+=+%28log%282%29%2Flog%281.002017%29%29%2F12\", or \"highlight_green%2828.67131691%29\" years
\n" ); document.write( "***Note that original AMOUNT invested DOES NOT MATTER. At an interest rate of (2.42%), and monthly compounding periods, any amount will double in 28.67, or a little over \"28%261%2F2\" years. \n" ); document.write( "
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