document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1075432>Question 1075432</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I've been stuck on these problems, I've figured out parts of each question but need help with it! \r<BR>\n" );
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document.write( "When the SuperBall® was introduced in the 1960’s, kids across the United<BR>\n" );
document.write( "States were amazed that these hard rubber balls could bounce to 90% of the<BR>\n" );
document.write( "height from which they were dropped.\r<BR>\n" );
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document.write( "a.         Is this problem an example of a geometric series or an<BR>\n" );
document.write( "arithmetic series? Support your answer mathematically by applying the<BR>\n" );
document.write( "concepts from this unit.\r<BR>\n" );
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document.write( "b.         If a SuperBall® is dropped from a height of 2m, how far does it<BR>\n" );
document.write( "travel by the time it hits the ground for the tenth time? (Hint: The ball<BR>\n" );
document.write( "goes down to the first bounce, then up and down thereafter.)\r<BR>\n" );
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document.write( "To figure this problem out, one way I would solve this problem is to use<BR>\n" );
document.write( "the formula An=2 (.90)^n-1 , then to get a11 we plug in the info we know,<BR>\n" );
document.write( "to get 2(.9)^10 to get an answer of aout .70m\r<BR>\n" );
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document.write( "2.         You borrowed $5,000 from your parents to purchase a used car.<BR>\n" );
document.write( "You have agreed to make payments of $250 per month plus an additional 1%<BR>\n" );
document.write( "interest on the unpaid balance of the loan.\r<BR>\n" );
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document.write( "a.         Is this problem an example of a geometric series or an<BR>\n" );
document.write( "arithmetic series? Support your answer mathematically by applying the<BR>\n" );
document.write( "concepts from this unit.\r<BR>\n" );
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document.write( "b.         Find the first year’s monthly payments that you will make and<BR>\n" );
document.write( "the unpaid balance after each month.\r<BR>\n" );
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document.write( "            c.         Find the total amount of interest paid over the term<BR>\n" );
document.write( "of the loan\r<BR>\n" );
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document.write( "Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #690289 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=690289\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The fact that the amount changes each bounce makes it a geometric series.\r<BR>\n" );
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document.write( "I am assuming no interest on the loan other than the 1% unpaid balance.<BR>\n" );
document.write( "After 1 month $4750 +47.50=4797.50<BR>\n" );
document.write( "after 2: 4547.50+45.48=4592.98<BR>\n" );
document.write( "3:4342.98+43.43=4386.41<BR>\n" );
document.write( "4:4136.41+41.36=4177.77<BR>\n" );
document.write( "5:3927.77+39.28=3966.05<BR>\n" );
document.write( "6:3716.05+37.16=3753.21<BR>\n" );
document.write( "7:3503.21+35.03=3538.24<BR>\n" );
document.write( "8:3288.24+32.88=3321.12<BR>\n" );
document.write( "9:3071.12+30.71=3101.83<BR>\n" );
document.write( "10:2751.83+27.52=2779.35<BR>\n" );
document.write( "11:2529.35+25.29=2554.64<BR>\n" );
document.write( "12:2304.64+23.05=2327.69<BR>\n" );
document.write( "13:2077.69+20.79=2098.46<BR>\n" );
document.write( "14:1848.96+18.49=1867.45<BR>\n" );
document.write( "15:1617.45+16.17=1633.62<BR>\n" );
document.write( "16:1383.62+13.84=1397.46<BR>\n" );
document.write( "17:1147.96+11.48=1159.44<BR>\n" );
document.write( "18:899.44+8.99=908.43<BR>\n" );
document.write( "19:658.43+6.58=665.01<BR>\n" );
document.write( "20:415.01+4.15=419.16<BR>\n" );
document.write( "21:169.06+1.69=170.65<BR>\n" );
document.write( "This is geometric series--rate of change is proportional to the amount, not fixed.<BR>\n" );
document.write( "Interest over loan is <BR>\n" );
document.write( "$530.87<BR>\n" );
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