document.write( "Question 1039797: You buy a commemorative coin for $20. The value of the coin increases at a rate of 3.5% per year. \r
\n" ); document.write( "\n" ); document.write( "How much will the coin be worth in 15 years?\r
\n" ); document.write( "\n" ); document.write( "After how many years will the coin have doubled in value?
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Algebra.Com's Answer #654554 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+V+\" = the current value of the coin
\n" ); document.write( "\"+V+=+20%2A%28+1+%2B+.035+%29%5E15+\"
\n" ); document.write( "\"+V+=+20%2A1.035%5E15+\"
\n" ); document.write( "\"+V+=+20%2A1.6753+\"
\n" ); document.write( "\"+V+=+33.507+\"
\n" ); document.write( "The coin will be worth $33.51 in 15 yrs
\n" ); document.write( "---------------------
\n" ); document.write( "Double the value of the coin is \"+2%2A20+=+40+\"
\n" ); document.write( "Let \"+t+\" = time in years when coin is worth $40
\n" ); document.write( "\"+40+=+20%2A1.035%5Et+\"
\n" ); document.write( "\"+2+=+1.035%5Et+\"
\n" ); document.write( "Take the log of both sides
\n" ); document.write( "\"+log%282%29+=+t%2Alog%28+1.035+%29+\"
\n" ); document.write( "\"+.30103+=+.01494t+\"
\n" ); document.write( "\"+t+=+.30103%2F.01494+\"
\n" ); document.write( "\"+t+=+20.1488+\"
\n" ); document.write( "The coin will double in value in the 20th year
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