document.write( "Question 1056491: Isabella saved 2 nickels today. If she doubles the number of nickels she saves each day, how many days, including today will it take her to save more than 500 nickels \n" ); document.write( "

Algebra.Com's Answer #671588 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
day 1: $\"+2%5E1+\"$
\n" ); document.write( "day 2: $\"+2%5E1+%2B+2%5E2+\"$
\n" ); document.write( "day 3: $\"+2%5E1+%2B+2%5E2+%2B+2%5E3+\"$
\n" ); document.write( "day 4: $\"+2%5E1+%2B+2%5E2+%2B+2%5E3+%2B+2%5E4+\"$
\n" ); document.write( "-------------------------------------
\n" ); document.write( "Doing the math:
\n" ); document.write( "day 1: $\"+2+\"$
\n" ); document.write( "day 2: $\"+2+%2B+4+=+6+\"$
\n" ); document.write( "day 3: $\"+2+%2B+4+%2B+8+=+14+\"$
\n" ); document.write( "day 4: $\"+2+%2B+4+%2B+8+%2B+16+=+30+\"$
\n" ); document.write( "---------------------------------
\n" ); document.write( "After $\"+n+\"$ days shw has saved $\"+2%5E%28+n%2B1+%29+-+2+\"$ nickels
\n" ); document.write( " $\"+2%5E%28+n%2B1+%29+-+2+%3E+500+\"$
\n" ); document.write( " $\"+2%5E%28+n%2B1+%29+%3E+502+\"$
\n" ); document.write( "I can take the log base 10 of both sides
\n" ); document.write( " $\"+%28+n+%2B+1+%29%2Alog%282%29+%3E+log%28+502+%29+\"$
\n" ); document.write( " $\"+n+%2B+1+%3E+log%28+502+%29+%2F+log%28+2+%29+\"$
\n" ); document.write( " $\"+n+%2B+1+%3E+2.7007+%2F+.30103+\"$
\n" ); document.write( " $\"+n+%2B+1+%3E+8.971+\"$
\n" ); document.write( " $\"+n+%3E+7.971+\"$
\n" ); document.write( "It will take 8 days to save more than 500 nickels
\n" ); document.write( "----------------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+2+%2B+4+%2B+8+%2B+16+%2B+32+%2B+64+%2B+128+%2B+256+=+510+\"$
\n" ); document.write( "Ok
\n" ); document.write( "By all means get another opinion, also
\n" ); document.write( " \n" ); document.write( "

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