document.write( "Question 1136980: A bank account starts with $700 and earns an annual interest rate of 6%, compounded monthly.\r
\n" ); document.write( "\n" ); document.write( "What will the balance be after 2 years?\r
\n" ); document.write( "\n" ); document.write( "B= 789.01 (I know how to solve this part)\r
\n" ); document.write( "\n" ); document.write( "How long will it take the balance to reach $1000? \r
\n" ); document.write( "\n" ); document.write( "t= ? (I'm having trouble solving this part. Any help is appropriated. Thank you!)
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Algebra.Com's Answer #754811 by greenestamps(13200)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "For the part you solved, you know the amount of time and you want to know the final balance:

\n" ); document.write( "\"700%281%2B.06%2F12%29%5E%28%282%2A12%29%29+=+700%281.005%29%5E24+=+789.01\"

\n" ); document.write( "So you did that part right.

\n" ); document.write( "For the other part, the formula is the same; but now the final value is known and the amount of time is not:

\n" ); document.write( "\"700%281.005%29%5Et+=+1000\"

\n" ); document.write( "With the unknown in an exponent, you need to use logarithms to solve the problem.

\n" ); document.write( "\"1.005%5Et+=+1000%2F700+=+10%2F7\"
\n" ); document.write( "\"t%2Alog%28%281.005%29%29+=+log%28%2810%2F7%29%29\"
\n" ); document.write( "\"t+=+log%28%2810%2F7%29%29%2Flog%28%281.005%29%29\"

\n" ); document.write( "Use a calculator...; and remember the answer you get is in months.
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