document.write( "Question 1190095: Topics In Contemporary Math
\n" ); document.write( " Exponential Growth\r
\n" ); document.write( "\n" ); document.write( "2) Which would you rather have, one million dollars or the amount of money you would get
\n" ); document.write( "if a penny was doubled every day for a (30-day) month? \n" ); document.write( "

Algebra.Com's Answer #821684 by Alan3354(69443) $\"\"$ $\"About$

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Which would you rather have, one million dollars or the amount of money you would get if a penny was doubled every day for a (30-day) month?
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\n" ); document.write( "\"if a penny was doubled\" is not clear. There's no way to double a penny.
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\n" ); document.write( "If you receive a penny the 1st day, then 2 pennies the 2nd day, that's 3 pennies.
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document.write( "Day   Pennies\r\n" );
document.write( "1       1\r\n" );
document.write( "2       3\r\n" );
document.write( "3       7\r\n" );
document.write( "4       15\r\n" );
document.write( "5       31\r\n" );
document.write( "6       63\r\n" );
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\n" ); document.write( "\n" ); document.write( "If that's the case, in 30 days you have 2^30-1 = 1,073,741,823 pennies.
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\n" ); document.write( "If the total amount is doubled each day, then you have 2 pennies the 2nd day, not 3. In 30 days you have 2^29 pennies = 536,870,912 pennies.
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document.write( "Day   Pennies\r\n" );
document.write( "1       1\r\n" );
document.write( "2       2\r\n" );
document.write( "3       4\r\n" );
document.write( "4       8\r\n" );
document.write( "5       16\r\n" );
document.write( "6       32\r\n" );
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