Project 1.1 - The Credit Card Problem #1. Determine balance after 1 year and 5 years. Compounding monthly: b(n+1) =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 NiQqLEkoQmFsYW5jZUc2IiIiIkkmYWZ0ZXJHRiVGJkkkb25lR0YlRiZJJXllYXJHRiVGJkkjaXNHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiVGJiQiKy5IRTE3ISIn LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzZcci1JI21vR0YkNi1RIn5GJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGQ0YrLUkjbWlHRiQ2JVEibkYnLyUnaXRhbGljR1EldHJ1ZUYnL0YwUSdpdGFsaWNGJ0YrLUYsNi1RKiZjb2xvbmVxO0YnRi9GMkY1RjdGOUY7Rj1GPy9GQlEsMC4yNzc3Nzc4ZW1GJy9GRUZTRistSSNtbkdGJDYkUSI1RidGLy1GLDYtUSI6RidGL0YyRjVGN0Y5RjtGPUY/RlJGVEYrRistRiw2LVEiI0YnRi9GMkY1RjdGOUY7Rj1GP0ZBRkQtRkc2JVE3fnJlc2V0fm51bWJlcn5vZn55ZWFyc0YnRkpGTS1JJ21zcGFjZUdGJDYmLyUnaGVpZ2h0R1EmMC4wZXhGJy8lJndpZHRoR1EmMC4wZW1GJy8lJmRlcHRoR0Zhby8lKmxpbmVicmVha0dRKG5ld2xpbmVGJ0YrRistRkc2JVEiY0YnRkpGTUZPLUZWNiRRIzEyRidGL0ZZRistRkc2JVEickYnRkpGTUYrRk9GKy1GVjYkUSYwLjE4OUYnRi9GWUYrRitGZm4tRkc2JVFIfn5jb21wb3VuZHN+cGVyfnllYXIsfmFuZH5pbnRlcmVzdH5yYXRlRidGSkZNRlxvRitGKy1GRzYlUSJtRidGSkZNRk9GRi1GLDYtUScmc2RvdDtGJ0YvRjJGNUY3RjlGO0Y9Rj9GQUZERmpvRllGK0YrRitGK0Zmbi1GRzYlUVB+c2V0fnRvdGFsfmNvbXBvdW5kaW5nfmJhc2Vkfm9ufm51bWJlcn5vZn55ZWFyc0YnRkpGTUZcb0YrLUZHNiVRImJGJ0ZKRk1GK0ZPRistRkc2JVEmYXJyYXlGJ0ZKRk0tSShtZmVuY2VkR0YkNiQtRiM2KC1GVjYkUSIwRidGLy1GLDYtUSMuLkYnRi9GMkY1RjdGOUY7Rj1GPy9GQlEsMC4yMjIyMjIyZW1GJ0ZERitGaXAvJStleGVjdXRhYmxlR0Y0Ri9GL0ZZRitGK0Zmbi1GRzYlUTh+b3Blbn5zcGFjZX5mb3J+YmFsYW5jZUYnRkpGTUZcb0YrRmJxLUZpcTYmLUYjNiVGXXJGZXJGL0YvLyUlb3BlbkdRIltGJy8lJmNsb3NlR1EiXUYnRitGT0YrLUZWNiRRJTEwMDBGJ0YvRllGK0Zmbi1GRzYlUTh+cmVzZXR+aW5pdGlhbH5iYWxhbmNlfkYnRkpGTUZcb0YrLUYsNi9RJGZvckYnLyUlYm9sZEdGTC9GMFElYm9sZEYnLyUrZm9udHdlaWdodEdGYHRGMkY1RjdGOUY7Rj1GP0ZBRkRGKy1GRzYlUSJrRidGSkZNRistRiw2L1ElZnJvbUYnRl10Rl90RmF0RjJGNUY3RjlGO0Y9Rj9GQUZERistRlY2JFEiMUYnRi9GKy1GLDYvUSN0b0YnRl10Rl90RmF0RjJGNUY3RjlGO0Y9Rj9GQUZERitGaXBGKy1GLDYvUSNkb0YnRl10Rl90RmF0RjJGNUY3RjlGO0Y9Rj9GQUZERlxvRitGK0YrRitGYnEtRmlxNiYtRiM2JUZjdEZlckYvRi9GXnNGYXNGK0ZPRitGYnEtRmlxNiYtRiM2J0ZjdC1GLDYtUSgmbWludXM7RidGL0YyRjVGN0Y5RjtGPUY/RmNyL0ZFRmRyRml0RmVyRi9GL0Zec0Zhc0ZccS1GaXE2JC1GIzYoRml0LUYsNi1RIitGJ0YvRjJGNUY3RjlGO0Y9Rj9GY3JGXXYtSSZtZnJhY0dGJDYoRmBwLUYjNiVGam9GZXJGLy8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGX3cvJSliZXZlbGxlZEdGNC1GRzYjUSFGJ0ZlckYvRi9GWUZcb0YrLUYsNi9RJGVuZEYnRl10Rl90RmF0RjJGNUY3RjlGO0Y9Rj9GQUZERitGX3VGWUZcby1GRzYlUSZwcmludEYnRkpGTS1GaXE2JC1GIzYyLUZHNiVRKEJhbGFuY2VGJ0ZKRk1GKy1GRzYlUSZhZnRlckYnRkpGTUYrLUZHNiVRJWZpdmVGJ0ZKRk1GKy1GRzYlUSZ5ZWFyc0YnRkpGTUYrLUZHNiVRI2lzRidGSkZNLUYsNi1RIixGJ0YvRjIvRjZGTEY3RjlGO0Y9Rj9GQS9GRVEsMC4zMzMzMzMzZW1GJ0YrRitGYnFGZnVGZXJGL0YvLUYsNi1RIjtGJ0YvRjJGY3lGN0Y5RjtGPUY/RkFGVEZlckYv NiQqLEkoQmFsYW5jZUc2IiIiIkkmYWZ0ZXJHRiVGJkklZml2ZUdGJUYmSSZ5ZWFyc0dGJUYmSSNpc0c2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJUYmJCIrNl4kUmIjISIn #2. Suppose we were making a minimum payment of 3% (of remaining balance) per month. Determine the balance after 5 years. Compounding monthly with 3% percent payment: b(n+1) =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 NiQqLEkoQmFsYW5jZUc2IiIiIkkmYWZ0ZXJHRiVGJkklZml2ZUdGJUYmSSZ5ZWFyc0dGJUYmSSNpc0c2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJUYmJCIreWN2RVUhIig= How long will it take to get the balance to under $10? 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 NiUqMEkkVGhlRzYiIiIiSShiYWxhbmNlR0YlRiZJI2lzRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlRiZJJnVuZGVyR0YlRiZJJHRlbkdGJUYmSShkb2xsYXJzR0YlRiZJJmFmdGVyR0YlRiYjIiQyIiIiJUkmeWVhcnNHRiU= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= #3. Suppose we are either making a 3% payment (of remaining balance) or $10 payment per month, whichever is greater. How long will it take to pay off the credit card? Compounding monthly with 3% percent or $10 payment: b(n) =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 How long will it take to pay off the credit card? 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 n := 35: #` estimate number of years` c:=12: r := 0.189: flag:=false: #` compounds per year, and interest rate, set flag` pr:=0.03: #` set payment percentage` m:=n*c: #` set total compounding based on number of years` b := array(0.. m): #` open space for balance` b[0] := 1000: #` reset initial balance ` for k from 1 to m do if b[k-1]*0.03 < 10 then t := min(10,b[k-1]*(1+r/c)) else t := b[k-1]*0.03 end if; b[k] := b[k-1]*(1+r/c)-t; if abs(b[k]) < 0.01 then mm := k; break end if; end do; JCIqKyt2JikqISIn JCIrPzEuPCgqISIo JCIrTEhjeSYqISIo JCIrNiVvP1cqISIo JCIrTyo9dkkqISIo JCIrInonKVs8KiEiKA== JCIrYVk5VyEqISIo JCIrI2ZsXyIqKSEiKA== JCIrZElBKXkpISIo JCIreTMqSG0pISIo JCIrZUthUiYpISIo JCIrbVomeVQpISIo JCIrTy4hekgpISIo JCIrY19seiIpISIo JCIrb140aiEpISIo JCIraWc+W3ohIig= JCIrb1UkXCR5ISIo JCIrYmtHQnghIig= JCIrQidIS2goISIo JCIrLDZ1L3YhIig= JCIrUyYpeihSKCEiKA== JCIrNip6QkgoISIo JCIrKVxqJSk9KCEiKA== JCIrJCp5LSczKCEiKA== JCIrJio+MCYpcCEiKA== JCIrL11eJilvISIo JCIrOmtSKHknISIo JCIrPGduIXAnISIo JCIrJSlRTCZmJyEiKA== JCIrdy5OLGwhIig= JCIrTGhxM2shIig= JCIrcj9RPGohIig= JCIreCRmdEEnISIo JCIrMSY+J1FoISIo JCIreVQ5XmchIig= JCIrdWAiXCdmISIo JCIrSWAiKnplISIo JCIrT2w3J3omISIo JCIrTDxgOGQhIig= JCIrMVI2S2MhIig= JCIrJEdjPWImISIo JCIrSUJ1c2EhIig= JCIrX2R2JVImISIo JCIrI1shKXlKJiEiKA== JCIrJ28rQEMmISIo JCIrXjJTbl4hIig= JCIrIUhsUDQmISIo JCIrTSJ6Ni0mISIo JCIrSnRpXFwhIig= JCIrVF40elshIig= JCIrTiFvJjRbISIo JCIrInBKNXUlISIo JCIrKik+WnRZISIo JCIrOF0ob2clISIo JCIrV3FBVFghIig= JCIrZlhed1chIig= JCIrRVVzN1chIig= JCIrMUglKVxWISIo JCIrWHcmeUclISIo JCIrdWN2RVUhIig= JCIrMVdfbVQhIig= JCIrTDk6MlQhIig= JCIrRFhpW1MhIig= JCIrRDskNCpSISIo JCIrXDMxTVIhIig= JCIrI1srIXlRISIo JCIrdypRRiNRISIo JCIrWVxFb1AhIig= JCIrcnJjOVAhIig= JCIrKmVNO20kISIo JCIrJ0hjJTRPISIo JCIrVzotZU4hIig= JCIrUCg+dF0kISIo JCIrSi9NZE0hIig= JCIrSUwyM00hIig= JCIrJkczJmZMISIo JCIrIkhOO0okISIo JCIrWk56akshIig= JCIrJkgpPjpLISIo JCIrb3ckZTskISIo JCIrNicqcDpKISIo JCIrISk9eGtJISIo JCIrUD8vOEkhIig= JCIrXHVcZ0ghIig= JCIrJUdEciFIISIo JCIrMkQiSCZHISIo JCIremUleXojISIo JCIrXz4iPnUjISIo JCIrbHE0Jm8jISIo JCIrV3RRRkUhIig= JCIrJnBvKG9EISIo JCIrLW9BNEQhIig= JCIrQ3J1W0MhIig= JCIrIipbSihRIyEiKA== JCIrLF4iXEsjISIo JCIrOURgaEEhIig= JCIrXjs6KD4jISIo JCIrIXpjPDgjISIo JCIrZj5MbD8hIig= JCIrUDQneSo+ISIo JCIrWnNLSD4hIig= JCIrXlRyZj0hIig= JCIrXFkrKnkiISIo JCIrczk9PDwhIig= JCIrITNGVWsiISIo JCIrZE83cTohIig= JCIrMEomW1wiISIo JCIrVHFSPTkhIig= JCIrJXpPMk0iISIo JCIrKlJgPUUiISIo JCIrIWZGPD0iISIo JCIrKylSLjUiISIo JCIrXyxuPDUhIig= JCIqZCUpcEwqISIo JCIreD8vJVspISIp JCIrU2RtPHchIik= JCIrdlJrUG4hIik= JCIrbz13VmUhIik= JCIrPDYhZSRcISIp JCIrJikqUk4sJSEiKQ== JCIrU0t2d0khIik= JCIrL0BAREAhIik= JCIrJj4lb2U2ISIp JCIqck0kcDwhIik= JCIiIUYj mm; IiREIg== plot([seq([k, b[k]], k = 0 .. mm)], view = [0 .. 130, 0 .. 1000]); # press F5 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 #4. Suppose we want to keep track of our total payments using the same values from #3. What is the total cost of borrowing $1000? Using same formula from #3: b(n) =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 we need to add each 3% and $10 payment as we loop through the months. How long will it take to pay off the credit card? 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 JCIpZzAqUSUhIzY= NiQqNEkkVGhlRzYiIiIiSSZ0b3RhbEdGJUYmSSVjb3N0R0YlRiZJI29mR0YlRiZJKmJvcnJvd2luZ0dGJUYmSSRvbmVHRiVGJkkpdGhvdXNhbmRHRiVGJkkoZG9sbGFyc0dGJUYmSSNpc0c2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJUYmJCIrR1coKXo9ISIn LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVElcGxvdEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYuLUY2NiYtRiM2JC1GLDYlUSRzZXFGJ0YvRjItRjY2JC1GIzYpLUY2NiYtRiM2Ji1GLDYlUSJrRidGL0YyLUkjbW9HRiQ2LVEiLEYnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGMS8lKXN0cmV0Y2h5R0ZULyUqc3ltbWV0cmljR0ZULyUobGFyZ2VvcEdGVC8lLm1vdmFibGVsaW1pdHNHRlQvJSdhY2NlbnRHRlQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4zMzMzMzMzZW1GJy1GLDYlUSJiRidGL0YyLUY2NiYtRiM2I0ZJRlAvJSVvcGVuR1EiW0YnLyUmY2xvc2VHUSJdRidGUEZob0ZbcEZMRkktRk02LVEiPUYnRlBGUi9GVkZURldGWUZlbkZnbkZpbi9GXG9RLDAuMjc3Nzc3OGVtRicvRl9vRmNwLUkjbW5HRiQ2JFEiMEYnRlAtRk02LVEjLi5GJ0ZQRlJGYXBGV0ZZRmVuRmduRmluL0Zcb1EsMC4yMjIyMjIyZW1GJy9GX29GXW8tRiw2JVEibUYnRi9GMkZQRlBGaG9GW3BGTC1GTTYtUSJ+RidGUEZSRmFwRldGWUZlbkZnbkZpbkZbb0ZecS1GLDYlUSV2aWV3RidGL0YyRl5wLUZmcDYkUSQxMjBGJ0ZQRmlwLUZmcDYkUSQxMjZGJ0ZQRkxGZXBGaXAtRmZwNiRRIjVGJ0ZQRlAtRk02LVEiO0YnRlBGUkZVRldGWUZlbkZnbkZpbkZbb0ZkcA== 6(-%'CURVESG6$7ael7$$""!!""$"&++"!""7$$"#5!""$"&v&)*!"#7$$"#?!""$"*iIqr*!"'7$$"#I!""$"1,++LHcy&*!#87$$"#S!""$"+6%o?W*!"(7$$"#]!""$"+O*=vI*!"(7$$"#g!""$"+"z')[<*!"(7$$"#q!""$"+aY9W!*!"(7$$"#!)!""$"+#fl_"*)!"(7$$"#!*!""$"+dIA)y)!"(7$$"$+"!""$"+y3*Hm)!"(7$$"$5"!""$"+eKaR&)!"(7$$"$?"!""$"+mZ&yT)!"(7$$"$I"!""$"+O.!zH)!"(7$$"$S"!""$"+c_lz")!"(7$$"$]"!""$"+o^4j!)!"(7$$"$g"!""$"+ig>[z!"(7$$"$q"!""$"+oU$\$y!"(7$$"$!=!""$"+bkGBx!"(7$$"$!>!""$"+B'HKh(!"(7$$"$+#!""$"+,6u/v!"(7$$"$5#!""$"*a)z(R(!"'7$$"$?#!""$"+6*zBH(!"(7$$"$I#!""$"+)\j%)=(!"(7$$"$S#!""$"+$*y-'3(!"(7$$"$]#!""$"+&*>0&)p!"(7$$"$g#!""$"1*****R+:b)o!#87$$"$q#!""$"1,++:kR(y'!#87$$"$!G!""$"1,++<gn!p'!#87$$"$!H!""$"+%)QL&f'!"(7$$"$+$!""$"+w.N,l!"(7$$"$5$!""$"1,++Lhq3k!#87$$"$?$!""$"+r?Q<j!"(7$$"$I$!""$"+x$ftA'!"(7$$"$S$!""$"+1&>'Qh!"(7$$"$]$!""$"+yT9^g!"(7$$"$g$!""$"+u`"\'f!"(7$$"$q$!""$"*L:*ze!"'7$$"$!Q!""$"+Ol7'z&!"(7$$"$!R!""$"+L<`8d!"(7$$"$+%!""$"+1R6Kc!"(7$$"$5%!""$"+$Gc=b&!"(7$$"$?%!""$"*LUFZ&!"'7$$"$I%!""$"+_dv%R&!"(7$$"$S%!""$"+#[!)yJ&!"(7$$"$]%!""$"+'o+@C&!"(7$$"$g%!""$"+^2Sn^!"(7$$"$q%!""$"*HlP4&!"'7$$"$![!""$"+M"z6-&!"(7$$"$!\!""$"+Jti\\!"(7$$"$+&!""$"+T^4z[!"(7$$"$5&!""$"+N!o&4[!"(7$$"$?&!""$"+"pJ5u%!"(7$$"$I&!""$"+*)>ZtY!"(7$$"$S&!""$"+8](og%!"(7$$"$]&!""$"+WqATX!"(7$$"$g&!""$"+fX^wW!"(7$$"$q&!""$"+EUs7W!"(7$$"$!e!""$"+1H%)\V!"(7$$"$!f!""$"+Xw&yG%!"(7$$"$+'!""$"+ucvEU!"(7$$"$5'!""$"+1W_mT!"(7$$"$?'!""$"+L9:2T!"(7$$"$I'!""$"+DXi[S!"(7$$"$S'!""$"+D;$4*R!"(7$$"$]'!""$"+\31MR!"(7$$"$g'!""$"+#[+!yQ!"(7$$"$q'!""$"+w*QF#Q!"(7$$"$!o!""$"+Y\EoP!"(7$$"$!p!""$"+rrc9P!"(7$$"$+(!""$"+*eM;m$!"(7$$"$5(!""$"+'Hc%4O!"(7$$"$?(!""$"+W:-eN!"(7$$"$I(!""$"+P(>t]$!"(7$$"$S(!""$"+J/MdM!"(7$$"$](!""$"*Lt!3M!"'7$$"$g(!""$"+&G3&fL!"(7$$"$q(!""$"+"HN;J$!"(7$$"$!y!""$"+ZNzjK!"(7$$"$!z!""$"+&H)>:K!"(7$$"$+)!""$"+ow$e;$!"(7$$"$5)!""$"+6'*p:J!"(7$$"$?)!""$"*)=xkI!"'7$$"$I)!""$"+P?/8I!"(7$$"$S)!""$"+\u\gH!"(7$$"$])!""$"+%GDr!H!"(7$$"$g)!""$"+2D"H&G!"(7$$"$q)!""$"+ze%yz#!"(7$$"$!))!""$"+_>">u#!"(7$$"$!*)!""$"+lq4&o#!"(7$$"$+*!""$"+WtQFE!"(7$$"$5*!""$"+&po(oD!"(7$$"$?*!""$"+-oA4D!"(7$$"$I*!""$"+Cru[C!"(7$$"$S*!""$"+"*[J(Q#!"(7$$"$]*!""$"+,^"\K#!"(7$$"$g*!""$"+9D`hA!"(7$$"$q*!""$"+^;:(>#!"(7$$"$!)*!""$"*zc<8#!"'7$$"$!**!""$"+f>Ll?!"(7$$"%+5!""$"+P4'y*>!"(7$$"%55!""$"+ZsKH>!"(7$$"%?5!""$"+^Trf=!"(7$$"%I5!""$"+\Y+*y"!"(7$$"%S5!""$"+s9=<<!"(7$$"%]5!""$"*3FUk"!"'7$$"%g5!""$"+dO7q:!"(7$$"%q5!""$"+0J&[\"!"(7$$"%!3"!""$"+TqR=9!"(7$$"%!4"!""$"+%zO2M"!"(7$$"%+6!""$"+*R`=E"!"(7$$"%56!""$"*fF<="!"'7$$"%?6!""$"))R.5"!"&7$$"%I6!""$"+_,n<5!"(7$$"%S6!""$"*d%)pL*!"(7$$"%]6!""$"1,++x?/%[)!#97$$"%g6!""$"1,++Sdm<w!#97$$"%q6!""$"+vRkPn!")7$$"%!="!""$"+o=wVe!")7$$"%!>"!""$"+<6!e$\!")7$$"%+7!""$"+&)*RN,%!")7$$"%57!""$"*C`n2$!"(7$$"%?7!""$"+/@@D@!")7$$"%I7!""$"+&>%oe6!")7$$"%S7!""$"*rM$p<!")7$$"%]7!""$")Aq'y#!"*7$$"%g7!""$"(c!*Q%!#57$$"%q7!""$")Kw7p!#87$$"%!G"!""$")-w)3"!#97$$"%!H"!""$")tz9<!#;7$$"%+8!""$")d!3q#!#=7$$"%58!""$"(pPD%!#>7$$"%?8!""$")io*p'!#A7$$"%I8!""$"*e+_0"!#C7$$"%S8!""$")4%>m"!#D7$$"%]8!""$")pb<E!#F7$$"%g8!""$")@lAT!#H7$$"%q8!""$")r<$\'!#J7$$"%!Q"!""$"*RvE-"!#L7$$"%!R"!""$")Pr5;!#M7$$"%+9!""$")T(o`#!#O7$$"%59!""$")nd&*R!#Q7$$"%?9!""$")L.$H'!#S7$$"%I9!""$")u_6**!#U7$$"%S9!""$")c1h:!#V7$$"%]9!""$")$y'eC!#X7$$"%g9!""$")$=C(Q!#Z7$$"%q9!""$"))e!*4'!#\7$$"%!["!""$")w,1'*!#^7$$"%!\"!""$"*xZH^"!#`7$$"%+:!""$")F*GQ#!#a7$$"%5:!""$"(cIv$!#b7$$"%?:!""$")K16f!#e7$$"%I:!""$")X#*4$*!#g7$$"%S:!""$"*68jY"!#i7$$"%]:!""$")JW4B!#j7$$"%g:!""$")HPPO!#l7$$"%q:!""$")B')Gd!#n7$$"%!e"!""$")"eH-*!#p7$$"%!f"!""$")f6@9!#q7$$"%+;!""$")vDQA!#s7$$"%5;!""$")cDDN!#u7$$"%?;!""$")wF_b!#w7$$"%I;!""$")s$[u)!#y7$$"%S;!""$"*'=Jx8!#!)7$$"%];!""$")iEp@!#")7$$"%g;!""$")Vf;M!#$)7$$"%q;!""$"(O6Q&!#%)7$$"%!o"!""$")#*Gv%)!#()7$$"%!p"!""$"*0e[L"!#*)7$$"%+<!""$")9S-@!#!*7$$"%5<!""$")AG6L!##*7$$"%?<!""$")&p_@&!#%*7$$"%I<!""$")&\S@)!#'*7$$"%S<!""$")Gr$H"!#(*7$$"%]<!""$")xfP?!#**7$$"%g<!""$")k@4K!$,"7$$"%q<!""$")e^a]!$."7$$"%!y"!""$")C'3'z!$0"7$$"%!z"!""$"*$e$QD"!$2"7$$"%+=!""$")9zu>!$3"7$$"%5=!""$")lH5J!$5"7$$"%?=!""$"(<()*[!$6"7$$"%I=!""$")$zar(!$9"7$$"%S=!""$"**z=:7!$;"7$$"%]=!""$")6#R">!$<"7$$"%g=!""$")dU9I!$>"7$$"%q=!""$")0sZZ!$@"7$$"%!)=!""$"))fwZ(!$B"7$$"%!*=!""$"*UJx<"!$D"7$$"%+>!""$"(F\&=!$D"7$$"%5>!""$"'^@H!$E"7$$"%?>!""$")#y8g%!$I"7$$"%I>!""$")2<Zs!$K"7$$"%S>!""$"*RH99"!$M"7$$"%]>!""$")8v(z"!$N"7$$"%g>!""$")$e9$G!$P"7$$"%q>!""$")oafW!$R"7$$"%!)>!""$")iyBq!$T"7$$"%!*>!""$"*LYi5"!$V"7$$"%+?!""$"(QBu"!$V"7$$"%5?!""$")C=WF!$Y"7$$"%??!""$")t3AV!$["7$$"%I?!""$")vG2o!$]"7$$"%S?!""$"*yZ@2"!$_"7$$"%]?!""$")Gj)o"!$`"7$$"%g?!""$")nffE!$b"7$$"%q?!""$")['))=%!$d"7$$"%!3#!""$")@Y(f'!$f"7$$"%!4#!""$"*G+"R5!$h"7$$"%+@!""$")HeO;!$i"7$$"%5@!""$")"=wd#!$k"7$$"%?@!""$")&[(fS!$m"7$$"%I@!""$")R5%R'!$o"7$$"%S@!""$"*Orq+"!$q"7$$"%]@!""$")u8'e"!$r"7$$"%g@!""$")k;)\#!$t"7$$"%q@!""$")@hMR!$v"7$$"%!=#!""$")T,(>'!$x"7$$"%!>#!""$")sHg(*!$z"7$$"%+A!""$"*"oCP:!$"=7$$"%5A!""$")P;@C!$#=7$$"%?A!""$")GL8Q!$%=7$$"%IA!""$")#**f+'!$'=7$$"%SA!""$")([%f%*!$)=7$$"%]A!""$"*<j)*["!$!>7$$"%gA!""$")X`YB!$">7$$"%qA!""$")=z&p$!$$>7$$"%!G#!""$")@(3#e!$&>7$$"%!H#!""$")O(y;*!$(>7$$"%+B!""$"*4SRW"!$*>7$$"%5B!""$")c?uA!$+#7$$"%?B!""$")Q(=e$!$-#7$$"%IB!""$")7XTc!$/#7$$"%SB!""$")cG&)))!$1#7$$"%]B!""$"*[K%*R"!$3#7$$"%gB!""$")i5/A!$4#7$$"%qB!""$")tYrM!$6#7$$"%!Q#!""$"(hvY&!$7#7$$"%!R#!""$")'39h)!$:#7$$"%+C!""$"*&oHc8!$<#7$$"%5C!""$")v;O@!$=#7$$"%?C!""$")QYkL!$?#7$$"%IC!""$")0.*H&!$A#7$$"%SC!""$"(tfM)!$B#7$$"%]C!""$"*v!\98!$E#7$$"%gC!""$")HKq?!$F#7$$"%qC!""$")'e2E$!$H#7$$"%![#!""$")[pN^!$J#7$$"%!\#!""$")$>()3)!$L#7$$"%+D!""$"*HtRF"!$N#7$$"%5D!""$")z]1?!$O#7$$"%?D!""$")*\-;$!$Q#7$$"%ID!""$")ORx\!$S#7$$"%SD!""$")\RRy!$U#7$$"%]D!""$")ZqM7!$V#7$$"%gD!""$")*fY%>!$X#7$$"%qD!""$")$RG1$!$Z#7$$"%!e#!""$")>(R#[!$\#7$$"%!f#!""$")dv(f(!$^#7$$"%+E!""$"*_Ym>"!$`#7$$"%5E!""$")$=Z)=!$a#7$$"%?E!""$")8VoH!$c#7$$"%IE!""$")$z_n%!$e#7$$"%SE!""$")\cjt!$g#7$$"%]E!""$"*Zh(f6!$i#7$$"%gE!""$")ViE=!$j#7$$"%qE!""$")L$p(G!$l#7$$"%!o#!""$")*p6`%!$n#7$$"%!p#!""$")EfOr!$p#7$$"%+F!""$"*L8S7"!$r#7$$"%5F!""$"(@.x"!$r#7$$"%?F!""$")cD)y#!$u#7$$"%IF!""$")E]"R%!$w#7$$"%SF!""$")mh;p!$y#7$$"%]F!""$"*6n$*3"!$!G7$$"%gF!""$")Kv:<!$"G7$$"%qF!""$"20+++I6Bq#!$#H7$$"%!y#!""$").9cU!$&G7$$"%!z#!""$"(@Mq'!$'G7$$"%+G!""$"*"))yb5!$*G7$$"%5G!""$"2.+++SnGm"!$*H7$$"%?G!""$")i,>E!$#H7$$"%IG!""$"20+++]]\7%!$.$7$$"%SG!""$"((z'\'!$&H7$$"%]G!""$"*`XK-"!$)H7$$"%gG!""$"2.+++q6;h"!$3$7$$"%qG!""$"2-+++S)GQD!$5$7$$"%!)G!""$")U!y*R!$.$7$$"%!*G!""$"1,+++;a'H'!$8$7$$"%+H!""$"1********H0<**!$:$7$$"%5H!""$"2/+++!e$>c"!$<$7$$"%?H!""$"21+++!*[+Y#!$>$7$$"%IH!""$"(xX(Q!$6$7$$"%SH!""$"1,+++)eC5'!$A$7$$"%]H!""$""!!""7$$"%gH!""$""!!""7$$"%qH!""$""!!""7$$"%!)H!""$""!!""7$$"%!*H!""$""!!""7$$"%+I!""$""!!""7$$"%5I!""$""!!""7$$"%?I!""$""!!""7$$"%II!""$""!!""7$$"%SI!""$""!!""7$$"%]I!""$""!!""7$$"%gI!""$""!!""7$$"%qI!""$""!!""7$$"%!3$!""$""!!""7$$"%!4$!""$""!!""7$$"%+J!""$""!!""7$$"%5J!""$""!!""7$$"%?J!""$""!!""7$$"%IJ!""$""!!""7$$"%SJ!""$""!!""7$$"%]J!""$""!!""7$$"%gJ!""$""!!""7$$"%qJ!""$""!!""7$$"%!=$!""$""!!""7$$"%!>$!""$""!!""7$$"%+K!""$""!!""7$$"%5K!""$""!!""7$$"%?K!""$""!!""7$$"%IK!""$""!!""7$$"%SK!""$""!!""7$$"%]K!""$""!!""7$$"%gK!""$""!!""7$$"%qK!""$""!!""7$$"%!G$!""$""!!""7$$"%!H$!""$""!!""7$$"%+L!""$""!!""7$$"%5L!""$""!!""7$$"%?L!""$""!!""7$$"%IL!""$""!!""7$$"%SL!""$""!!""7$$"%]L!""$""!!""7$$"%gL!""$""!!""7$$"%qL!""$""!!""7$$"%!Q$!""$""!!""7$$"%!R$!""$""!!""7$$"%+M!""$""!!""7$$"%5M!""$""!!""7$$"%?M!""$""!!""7$$"%IM!""$""!!""7$$"%SM!""$""!!""7$$"%]M!""$""!!""7$$"%gM!""$""!!""7$$"%qM!""$""!!""7$$"%![$!""$""!!""7$$"%!\$!""$""!!""7$$"%+N!""$""!!""7$$"%5N!""$""!!""7$$"%?N!""$""!!""7$$"%IN!""$""!!""7$$"%SN!""$""!!""7$$"%]N!""$""!!""7$$"%gN!""$""!!""7$$"%qN!""$""!!""7$$"%!e$!""$""!!""7$$"%!f$!""$""!!""7$$"%+O!""$""!!""7$$"%5O!""$""!!""7$$"%?O!""$""!!""7$$"%IO!""$""!!""7$$"%SO!""$""!!""7$$"%]O!""$""!!""7$$"%gO!""$""!!""7$$"%qO!""$""!!""7$$"%!o$!""$""!!""7$$"%!p$!""$""!!""7$$"%+P!""$""!!""7$$"%5P!""$""!!""7$$"%?P!""$""!!""7$$"%IP!""$""!!""7$$"%SP!""$""!!""7$$"%]P!""$""!!""7$$"%gP!""$""!!""7$$"%qP!""$""!!""7$$"%!y$!""$""!!""7$$"%!z$!""$""!!""7$$"%+Q!""$""!!""7$$"%5Q!""$""!!""7$$"%?Q!""$""!!""7$$"%IQ!""$""!!""7$$"%SQ!""$""!!""7$$"%]Q!""$""!!""7$$"%gQ!""$""!!""7$$"%qQ!""$""!!""7$$"%!)Q!""$""!!""7$$"%!*Q!""$""!!""7$$"%+R!""$""!!""7$$"%5R!""$""!!""7$$"%?R!""$""!!""7$$"%IR!""$""!!""7$$"%SR!""$""!!""7$$"%]R!""$""!!""7$$"%gR!""$""!!""7$$"%qR!""$""!!""7$$"%!)R!""$""!!""7$$"%!*R!""$""!!""7$$"%+S!""$""!!""7$$"%5S!""$""!!""7$$"%?S!""$""!!""7$$"%IS!""$""!!""7$$"%SS!""$""!!""7$$"%]S!""$""!!""7$$"%gS!""$""!!""7$$"%qS!""$""!!""7$$"%!3%!""$""!!""7$$"%!4%!""$""!!""7$$"%+T!""$""!!""7$$"%5T!""$""!!""7$$"%?T!""$""!!""7$$"%IT!""$""!!""7$$"%ST!""$""!!""7$$"%]T!""$""!!""7$$"%gT!""$""!!""7$$"%qT!""$""!!""7$$"%!=%!""$""!!""7$$"%!>%!""$""!!""7$$"%+U!""$""!!""-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%%VIEWG6$;$"%+7!""$"%g7!"";$""!!""$"#]!""-%+AXESLABELSG6'-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q%view6"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"Q!6"-%%FONTG6%%(DEFAULTG%(DEFAULTG"#5%+HORIZONTALG%+HORIZONTALG-%*AXESSTYLEG6#%'NORMALG-%(SCALINGG6#%.UNCONSTRAINEDG-%%ROOTG6'-%)BOUNDS_XG6#$"$S$!""-%)BOUNDS_YG6#$"$?"!""-%-BOUNDS_WIDTHG6#$"%?N!""-%.BOUNDS_HEIGHTG6#$"%]M!""-%)CHILDRENG6" #5. Suppose we pay $10 more than the minimum payment each month. How does this change the total cost and time to borrow $1000? Using same formula from #3: b(n+1) =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 NiUqMEkkVGhlRzYiIiIiSShiYWxhbmNlR0YlRiZJJXdpbGxHRiVGJkkjYmVHRiVGJkklcGFpZEdGJUYmSSRvZmZHRiVGJkkmYWZ0ZXJHRiVGJiMiI2IiIzdJJnllYXJzR0Yl JCIqSTpMUyMhIik= NiQqNEkkVGhlRzYiIiIiSSZ0b3RhbEdGJUYmSSVjb3N0R0YlRiZJI29mR0YlRiZJKmJvcnJvd2luZ0dGJUYmSSRvbmVHRiVGJkkpdGhvdXNhbmRHRiVGJkkoZG9sbGFyc0dGJUYmSSNpc0c2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJUYmJCIrNldINTkhIic= 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 6(-%'CURVESG6$7ael7$$""!!""$"&++"!""7$$"#5!""$"&vv*!"#7$$"#?!""$"+DcX=&*!"(7$$"#I!""$"+Kw"GG*!"(7$$"#S!""$"+"[P00*!"(7$$"#]!""$"+Atc@))!"(7$$"#g!""$"+))*fef)!"(7$$"#q!""$"+$)*oLP)!"(7$$"#!)!""$"+v%[S:)!"(7$$"#!*!""$"+%G`y$z!"(7$$"$+"!""$"+v)QZs(!"(7$$"$5"!""$"+Y8m9v!"(7$$"$?"!""$"1*****>UxvI(!#87$$"$I"!""$"1*****RWWM5(!#87$$"$S"!""$"+h.A-p!"(7$$"$]"!""$"+@P'Qq'!"(7$$"$g"!""$"1,++jOL3l!#87$$"$q"!""$"+3**e:j!"(7$$"$!=!""$"+_FfDh!"(7$$"$!>!""$"+bIIQf!"(7$$"$+#!""$"+OAo`d!"(7$$"$5#!""$"+kAprb!"(7$$"$?#!""$"+\cH#R&!"(7$$"$I#!""$"+OaX:_!"(7$$"$S#!""$"+'>N6/&!"(7$$"$]#!""$"+>!*Hp[!"(7$$"$g#!""$"+3:"**p%!"(7$$"$q#!""$"+px$H`%!"(7$$"$!G!""$"+1MMoV!"(7$$"$!H!""$"+7X41U!"(7$$"$+$!""$"+lw:YS!"(7$$"$5$!""$"+=**\))Q!"(7$$"$?$!""$"+%z)3LP!"(7$$"$I$!""$"+zA*)zN!"(7$$"$S$!""$"+9)y)GM!"(7$$"$]$!""$"+"H<+G$!"(7$$"$g$!""$"+jvnJJ!"(7$$"$q$!""$"+&[,5)H!"(7$$"$!Q!""$"+eA&z#G!"(7$$"$!R!""$"+1D\sE!"(7$$"$+%!""$"+jUe9D!"(7$$"$5%!""$"+l*)=aB!"(7$$"$?%!""$"+TuE">#!"(7$$"$I%!""$"+.*zd-#!"(7$$"$S%!""$"+Ofod=!"(7$$"$]%!""$"+*[Wpo"!"(7$$"$g%!""$"+lQ^8:!"(7$$"$q%!""$"+3<NP8!"(7$$"$![!""$"+(*\Te6!"(7$$"$!\!""$"*L+mw*!"(7$$"$+&!""$"+&GC/#z!")7$$"$5&!""$"+n4<Xg!")7$$"$?&!""$"*T#QST!"(7$$"$I&!""$"+LMf0A!")7$$"$S&!""$")`J.C!"(7$$"$]&!""$""!!""7$$"$g&!""$""!!""7$$"$q&!""$""!!""7$$"$!e!""$""!!""7$$"$!f!""$""!!""7$$"$+'!""$""!!""7$$"$5'!""$""!!""7$$"$?'!""$""!!""7$$"$I'!""$""!!""7$$"$S'!""$""!!""7$$"$]'!""$""!!""7$$"$g'!""$""!!""7$$"$q'!""$""!!""7$$"$!o!""$""!!""7$$"$!p!""$""!!""7$$"$+(!""$""!!""7$$"$5(!""$""!!""7$$"$?(!""$""!!""7$$"$I(!""$""!!""7$$"$S(!""$""!!""7$$"$](!""$""!!""7$$"$g(!""$""!!""7$$"$q(!""$""!!""7$$"$!y!""$""!!""7$$"$!z!""$""!!""7$$"$+)!""$""!!""7$$"$5)!""$""!!""7$$"$?)!""$""!!""7$$"$I)!""$""!!""7$$"$S)!""$""!!""7$$"$])!""$""!!""7$$"$g)!""$""!!""7$$"$q)!""$""!!""7$$"$!))!""$""!!""7$$"$!*)!""$""!!""7$$"$+*!""$""!!""7$$"$5*!""$""!!""7$$"$?*!""$""!!""7$$"$I*!""$""!!""7$$"$S*!""$""!!""7$$"$]*!""$""!!""7$$"$g*!""$""!!""7$$"$q*!""$""!!""7$$"$!)*!""$""!!""7$$"$!**!""$""!!""7$$"%+5!""$""!!""7$$"%55!""$""!!""7$$"%?5!""$""!!""7$$"%I5!""$""!!""7$$"%S5!""$""!!""7$$"%]5!""$""!!""7$$"%g5!""$""!!""7$$"%q5!""$""!!""7$$"%!3"!""$""!!""7$$"%!4"!""$""!!""7$$"%+6!""$""!!""7$$"%56!""$""!!""7$$"%?6!""$""!!""7$$"%I6!""$""!!""7$$"%S6!""$""!!""7$$"%]6!""$""!!""7$$"%g6!""$""!!""7$$"%q6!""$""!!""7$$"%!="!""$""!!""7$$"%!>"!""$""!!""7$$"%+7!""$""!!""7$$"%57!""$""!!""7$$"%?7!""$""!!""7$$"%I7!""$""!!""7$$"%S7!""$""!!""7$$"%]7!""$""!!""7$$"%g7!""$""!!""7$$"%q7!""$""!!""7$$"%!G"!""$""!!""7$$"%!H"!""$""!!""7$$"%+8!""$""!!""7$$"%58!""$""!!""7$$"%?8!""$""!!""7$$"%I8!""$""!!""7$$"%S8!""$""!!""7$$"%]8!""$""!!""7$$"%g8!""$""!!""7$$"%q8!""$""!!""7$$"%!Q"!""$""!!""7$$"%!R"!""$""!!""7$$"%+9!""$""!!""7$$"%59!""$""!!""7$$"%?9!""$""!!""7$$"%I9!""$""!!""7$$"%S9!""$""!!""7$$"%]9!""$""!!""7$$"%g9!""$""!!""7$$"%q9!""$""!!""7$$"%!["!""$""!!""7$$"%!\"!""$""!!""7$$"%+:!""$""!!""7$$"%5:!""$""!!""7$$"%?:!""$""!!""7$$"%I:!""$""!!""7$$"%S:!""$""!!""7$$"%]:!""$""!!""7$$"%g:!""$""!!""7$$"%q:!""$""!!""7$$"%!e"!""$""!!""7$$"%!f"!""$""!!""7$$"%+;!""$""!!""7$$"%5;!""$""!!""7$$"%?;!""$""!!""7$$"%I;!""$""!!""7$$"%S;!""$""!!""7$$"%];!""$""!!""7$$"%g;!""$""!!""7$$"%q;!""$""!!""7$$"%!o"!""$""!!""7$$"%!p"!""$""!!""7$$"%+<!""$""!!""7$$"%5<!""$""!!""7$$"%?<!""$""!!""7$$"%I<!""$""!!""7$$"%S<!""$""!!""7$$"%]<!""$""!!""7$$"%g<!""$""!!""7$$"%q<!""$""!!""7$$"%!y"!""$""!!""7$$"%!z"!""$""!!""7$$"%+=!""$""!!""7$$"%5=!""$""!!""7$$"%?=!""$""!!""7$$"%I=!""$""!!""7$$"%S=!""$""!!""7$$"%]=!""$""!!""7$$"%g=!""$""!!""7$$"%q=!""$""!!""7$$"%!)=!""$""!!""7$$"%!*=!""$""!!""7$$"%+>!""$""!!""7$$"%5>!""$""!!""7$$"%?>!""$""!!""7$$"%I>!""$""!!""7$$"%S>!""$""!!""7$$"%]>!""$""!!""7$$"%g>!""$""!!""7$$"%q>!""$""!!""7$$"%!)>!""$""!!""7$$"%!*>!""$""!!""7$$"%+?!""$""!!""7$$"%5?!""$""!!""7$$"%??!""$""!!""7$$"%I?!""$""!!""7$$"%S?!""$""!!""7$$"%]?!""$""!!""7$$"%g?!""$""!!""7$$"%q?!""$""!!""7$$"%!3#!""$""!!""7$$"%!4#!""$""!!""7$$"%+@!""$""!!""7$$"%5@!""$""!!""7$$"%?@!""$""!!""7$$"%I@!""$""!!""7$$"%S@!""$""!!""7$$"%]@!""$""!!""7$$"%g@!""$""!!""7$$"%q@!""$""!!""7$$"%!=#!""$""!!""7$$"%!>#!""$""!!""7$$"%+A!""$""!!""7$$"%5A!""$""!!""7$$"%?A!""$""!!""7$$"%IA!""$""!!""7$$"%SA!""$""!!""7$$"%]A!""$""!!""7$$"%gA!""$""!!""7$$"%qA!""$""!!""7$$"%!G#!""$""!!""7$$"%!H#!""$""!!""7$$"%+B!""$""!!""7$$"%5B!""$""!!""7$$"%?B!""$""!!""7$$"%IB!""$""!!""7$$"%SB!""$""!!""7$$"%]B!""$""!!""7$$"%gB!""$""!!""7$$"%qB!""$""!!""7$$"%!Q#!""$""!!""7$$"%!R#!""$""!!""7$$"%+C!""$""!!""7$$"%5C!""$""!!""7$$"%?C!""$""!!""7$$"%IC!""$""!!""7$$"%SC!""$""!!""7$$"%]C!""$""!!""7$$"%gC!""$""!!""7$$"%qC!""$""!!""7$$"%![#!""$""!!""7$$"%!\#!""$""!!""7$$"%+D!""$""!!""7$$"%5D!""$""!!""7$$"%?D!""$""!!""7$$"%ID!""$""!!""7$$"%SD!""$""!!""7$$"%]D!""$""!!""7$$"%gD!""$""!!""7$$"%qD!""$""!!""7$$"%!e#!""$""!!""7$$"%!f#!""$""!!""7$$"%+E!""$""!!""7$$"%5E!""$""!!""7$$"%?E!""$""!!""7$$"%IE!""$""!!""7$$"%SE!""$""!!""7$$"%]E!""$""!!""7$$"%gE!""$""!!""7$$"%qE!""$""!!""7$$"%!o#!""$""!!""7$$"%!p#!""$""!!""7$$"%+F!""$""!!""7$$"%5F!""$""!!""7$$"%?F!""$""!!""7$$"%IF!""$""!!""7$$"%SF!""$""!!""7$$"%]F!""$""!!""7$$"%gF!""$""!!""7$$"%qF!""$""!!""7$$"%!y#!""$""!!""7$$"%!z#!""$""!!""7$$"%+G!""$""!!""7$$"%5G!""$""!!""7$$"%?G!""$""!!""7$$"%IG!""$""!!""7$$"%SG!""$""!!""7$$"%]G!""$""!!""7$$"%gG!""$""!!""7$$"%qG!""$""!!""7$$"%!)G!""$""!!""7$$"%!*G!""$""!!""7$$"%+H!""$""!!""7$$"%5H!""$""!!""7$$"%?H!""$""!!""7$$"%IH!""$""!!""7$$"%SH!""$""!!""7$$"%]H!""$""!!""7$$"%gH!""$""!!""7$$"%qH!""$""!!""7$$"%!)H!""$""!!""7$$"%!*H!""$""!!""7$$"%+I!""$""!!""7$$"%5I!""$""!!""7$$"%?I!""$""!!""7$$"%II!""$""!!""7$$"%SI!""$""!!""7$$"%]I!""$""!!""7$$"%gI!""$""!!""7$$"%qI!""$""!!""7$$"%!3$!""$""!!""7$$"%!4$!""$""!!""7$$"%+J!""$""!!""7$$"%5J!""$""!!""7$$"%?J!""$""!!""7$$"%IJ!""$""!!""7$$"%SJ!""$""!!""7$$"%]J!""$""!!""7$$"%gJ!""$""!!""7$$"%qJ!""$""!!""7$$"%!=$!""$""!!""7$$"%!>$!""$""!!""7$$"%+K!""$""!!""7$$"%5K!""$""!!""7$$"%?K!""$""!!""7$$"%IK!""$""!!""7$$"%SK!""$""!!""7$$"%]K!""$""!!""7$$"%gK!""$""!!""7$$"%qK!""$""!!""7$$"%!G$!""$""!!""7$$"%!H$!""$""!!""7$$"%+L!""$""!!""7$$"%5L!""$""!!""7$$"%?L!""$""!!""7$$"%IL!""$""!!""7$$"%SL!""$""!!""7$$"%]L!""$""!!""7$$"%gL!""$""!!""7$$"%qL!""$""!!""7$$"%!Q$!""$""!!""7$$"%!R$!""$""!!""7$$"%+M!""$""!!""7$$"%5M!""$""!!""7$$"%?M!""$""!!""7$$"%IM!""$""!!""7$$"%SM!""$""!!""7$$"%]M!""$""!!""7$$"%gM!""$""!!""7$$"%qM!""$""!!""7$$"%![$!""$""!!""7$$"%!\$!""$""!!""7$$"%+N!""$""!!""7$$"%5N!""$""!!""7$$"%?N!""$""!!""7$$"%IN!""$""!!""7$$"%SN!""$""!!""7$$"%]N!""$""!!""7$$"%gN!""$""!!""7$$"%qN!""$""!!""7$$"%!e$!""$""!!""7$$"%!f$!""$""!!""7$$"%+O!""$""!!""7$$"%5O!""$""!!""7$$"%?O!""$""!!""7$$"%IO!""$""!!""7$$"%SO!""$""!!""7$$"%]O!""$""!!""7$$"%gO!""$""!!""7$$"%qO!""$""!!""7$$"%!o$!""$""!!""7$$"%!p$!""$""!!""7$$"%+P!""$""!!""7$$"%5P!""$""!!""7$$"%?P!""$""!!""7$$"%IP!""$""!!""7$$"%SP!""$""!!""7$$"%]P!""$""!!""7$$"%gP!""$""!!""7$$"%qP!""$""!!""7$$"%!y$!""$""!!""7$$"%!z$!""$""!!""7$$"%+Q!""$""!!""7$$"%5Q!""$""!!""7$$"%?Q!""$""!!""7$$"%IQ!""$""!!""7$$"%SQ!""$""!!""7$$"%]Q!""$""!!""7$$"%gQ!""$""!!""7$$"%qQ!""$""!!""7$$"%!)Q!""$""!!""7$$"%!*Q!""$""!!""7$$"%+R!""$""!!""7$$"%5R!""$""!!""7$$"%?R!""$""!!""7$$"%IR!""$""!!""7$$"%SR!""$""!!""7$$"%]R!""$""!!""7$$"%gR!""$""!!""7$$"%qR!""$""!!""7$$"%!)R!""$""!!""7$$"%!*R!""$""!!""7$$"%+S!""$""!!""7$$"%5S!""$""!!""7$$"%?S!""$""!!""7$$"%IS!""$""!!""7$$"%SS!""$""!!""7$$"%]S!""$""!!""7$$"%gS!""$""!!""7$$"%qS!""$""!!""7$$"%!3%!""$""!!""7$$"%!4%!""$""!!""7$$"%+T!""$""!!""7$$"%5T!""$""!!""7$$"%?T!""$""!!""7$$"%IT!""$""!!""7$$"%ST!""$""!!""7$$"%]T!""$""!!""7$$"%gT!""$""!!""7$$"%qT!""$""!!""7$$"%!=%!""$""!!""7$$"%!>%!""$""!!""7$$"%+U!""$""!!""-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%%VIEWG6$;$""!!""$"$]&!"";$""!!""$"&++"!""-%+AXESLABELSG6'-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q%view6"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"Q!6"-%%FONTG6%%(DEFAULTG%(DEFAULTG"#5%+HORIZONTALG%+HORIZONTALG-%*AXESSTYLEG6#%'NORMALG-%(SCALINGG6#%.UNCONSTRAINEDG-%%ROOTG6'-%)BOUNDS_XG6#$"$?&!""-%)BOUNDS_YG6#$"$?"!""-%-BOUNDS_WIDTHG6#$"%IM!""-%.BOUNDS_HEIGHTG6#$"%gM!""-%)CHILDRENG6" LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=