document.write( "Question 1140511: amira invests $100 in an account that gain 3% interest every year. Ruby invests $50 into an account that earns 2% interest every half year. In how many years will the accounts have the same value? \n" ); document.write( "

Algebra.Com's Answer #761038 by greenestamps(13215) $\"\"$ $\"About$

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\n" ); document.write( " $\"100%281.03%5Ex%29+=+50%281.02%5E%282x%29%29\"$
\n" ); document.write( " $\"100%281.03%5Ex%29+=+50%281.02%5E2%29%5Ex\"$
\n" ); document.write( " $\"100%281.03%5Ex%29+=+50%281.0404%5Ex%29\"$
\n" ); document.write( " $\"2%281.03%5Ex%29+=+1.0404%5Ex\"$
\n" ); document.write( " $\"1.0404%5Ex%2F1.03%5Ex+=+2\"$
\n" ); document.write( " $\"%281.0404%2F1.03%29%5Ex+=+2\"$
\n" ); document.write( " $\"x%2Alog%28%281.0404%2F1.03%29%29+=+log%28%282%29%29\"$
\n" ); document.write( " $\"x+=+log%28%282%29%29%2Flog%28%281.0404%2F1.03%29%29\"$

\n" ); document.write( "Use a calculator....

\n" ); document.write( "Or with a good graphing calculator like the TI83, you can simply graph $\"100%281.03%5Ex%29\"$ and $\"50%281.02%5E%282x%29%29\"$ and find their intersection. \n" ); document.write( "

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