document.write( "Question 951566: Your grandmother offers to give you, for the whole year,
\n" ); document.write( "• Deal A: 5 cents each day, or
\n" ); document.write( "• Deal B: 0 cents on day 0, 1 cent on day 1, 2 cents on day 2, 3 cents on
\n" ); document.write( "day 3, and so forth.
\n" ); document.write( "Which deal would you accept, Deal A or Deal B? Show that the deal you chose
\n" ); document.write( "is better than the other deal.\r
\n" ); document.write( "\n" ); document.write( "I know the equation for Deal A is f(x)= .05x
\n" ); document.write( "but having a hard time with the non-linear Deal B...Thoughts?
\n" ); document.write( "

Algebra.Com's Answer #581133 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
I'll say there are \"+365+\" days / year
\n" ); document.write( "Deal A: \"+.05%2A365+=+18.25+\" dollars / year
\n" ); document.write( "------------------------------------
\n" ); document.write( "Deal B:
\n" ); document.write( "You have:
\n" ); document.write( "\"+.01+%2B+.02+%2B+.03+%2B+.04+\" . . . etc.
\n" ); document.write( "There's a formula for this sequence:
\n" ); document.write( "\"+%28+n%2A%28+n%2B1+%29%29+%2F+2+\" gives you 1 + 2 + 3 + 4 + . . . n
\n" ); document.write( "So, I'll say \"+n+=+365+\" and multiply the result by \"+.01+\"
\n" ); document.write( "\"+%28+365%2A366+%29+%2F+2+=+133590%2F2+\"
\n" ); document.write( "\"+133590%2F2+=+66795+\"
\n" ); document.write( "\"+.01%2A66795+=+667.95+\"
\n" ); document.write( "------------------------
\n" ); document.write( "Deal B is better by \"+667.95+-+18.25+=+649.70+\"
\n" ); document.write( "Hope I got it\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );