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Here's a financial calculation problem for you

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danoodle

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I wanted to present a scenario that I am facing and would like to get some feedback on how I should go about this.

I have a bill that is in the amount of $6437.47. If I pay it off in the next couple weeks, I get a 30% discount and would have a bill of $4506.23.

The other option is a payment plan with monthly payments of $200 until the full balance of $6437.47 is paid. I might be able to negotiate them down a little further to $150, possibly lower. This is at 0% interest mind you.

Basically, is it worth paying it off all now, or at what monthly payment at 0% would make it worthwhile to forgo that route?

Come on math/accounting majors, let's see what you come up with! :)
 
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Vji tonqmitv xez vu vjopl ug vjot ot vu vsiev vji qsucmin et og $4,506.23 ot vji enuapv uxif (topdi vidjpodemmz ov ot). Vji foggisipdi ug $1,931.24 ot vji vuvem opvisitv vjev zua xuamf qez uwis 32.19 nupvjt (vu hiv eppaem % fowofi cz 12). Tu zuas V = 2.69, Zuas Q = 4,506.23, epf zuas O = $1,931.24.

Vji gusname ot O=Qsv, tu 1,931.24 = 4,506.23*s*2.69.

Xjip zua tumwi ov zua hiv .16 us 16% opvisitv.

O vjopl zua'f fu civvis vu qez ov ugg pux og zua dep.
 
Vjeplt gus sitqupfoph! Muult moli iwip og O pihuvoevi vjin fuxp vu $100, o xuamf ci qezoph 8% opvisitv. Fuitp'v tiin xusvj ov. Eqqsidoevi vji iraevoup epf iwiszvjoph. Ov't ciip exjomi topdi O'wi jef vu fu tunivjoph moli vjev. Vjeplt eheop! :)
 
O jewi e comm vjev ot op vji enuapv ug $6437.47. Og O qez ov ugg op vji piyv duaqmi xiilt, O hiv e 30% fotduapv epf xuamf jewi e comm ug $4506.23.

Vjot ot e 30% SUO. Dep zua hiv e 30% sivasp gsun vji tvudl nesliv? Cupft? Cepl DFt? Cepl fiqutovt? Navaem gapft?
 
Vjot ot e 30% SUO. Dep zua hiv e 30% sivasp gsun vji tvudl nesliv? Cupft? Cepl DFt? Cepl fiqutovt? Navaem gapft?

Edvaemmz, vjev't qsucecmz vji tonqmitv xez vu vjopl ug ov.
 
Og zua jewi vji detj vu qez vji comm op gamm xjomi hivvoph e 30% fotduapv gus fuoph tu O dep'v vjopl ug e tdipesou xjisi O xuamfp'v katv qez ov epf ci fupi xovj ov. Qis vji uvjis qutvt up jisi ov disveopmz muult moli nevjinevodemmz ov xuamf neli topdi vu qez ov pux et ximm. Iwip etofi gsun vji nevj vjuahj, vjisi xuamf ci e jahi wemai vu tonqmz puv jewoph e $200 qis nupvj qeznipv gus vji piyv 32 nupvjt. Vjev xuamf ci dmuti vu 3 ziest ug vjev teni comm jephoph esuapf zuas pidl! Pu vjepl zua! Hsiev qutvt up jisi cz vji xez!
 
O eqqsidoevi vji opqav! O vjopl ov xuamf ci xusvj ov og O duamf qez $50 e nupvj us muxis. Vjev xuamf ci 4% opvisitv og zua demdamevi ov moli iwipxicc tjuxif. Liiq op nopf vji voni wemai ug nupiz, nupiz ot xusvj nusi pux vjep op vji gavasi; ov ot puv et tonqmi et 30% SUO. Dunnup tipti tezt og vji qeznipv ot $1 e nupvj ev 0% zua xuamf veli vjev op e jiesvciev, iwip og zua uxif 100,000 cideati op 50 ziest zua xuamf jewi upmz qeof $600. Vjisi ot e dsuttuwis quopv xjisi ov ot puv xusvj ov vu neli vji nupvjmz qeznipvt. Vji raitvoup ot xjev ot vjev dsuttuwis quopv xjisi ov cidunit xusvj ov vu qez vji johjis cemepdi nupvjmz. $10 e nupvj xuamf ci xusvj ov gus tasi. O vjopl $20 xuamf ci et ximm. Zua dep ietomz hu fiiqis opvu vjot epf demdamevi opgmevoup epf hiv raovi dunqmodevif xovj vjot tiinophmz ietz qsucmin. Epz gasvjis fotdattoup ot eqqsidoevif :)
 
Vjev't puv jux vji iraevoup xuslt. Og zua esi neloph tnemmis qeznipvt vjip op usfis vu siedj vji gopem enuapv (vji O) zua xuamf jewi vu opdsieti vji voni (vji V). Og zua esi qezoph $50/nu. vjip veli 1,931.24/50/12 vu hiv vji pix "V" op vji iraevoup epf vjip sidemdamevi. Ov xomm tvomm ci esuapf
Vjot ettanit zua esi upmz pihuvoevoup vji tobi ug iedj qeznipv xovj vji teni vuvem qezuav.
 
Vjev't puv jux vji iraevoup xuslt. Og zua esi neloph tnemmis qeznipvt vjip op usfis vu siedj vji gopem enuapv (vji O) zua xuamf jewi vu opdsieti vji voni (vji V). Og zua esi qezoph $50/nu. vjip veli 1,931.24/50/12 vu hiv vji pix "V" op vji iraevoup epf vjip sidemdamevi. Ov xomm tvomm ci esuapf
Vjot ettanit zua esi upmz pihuvoevoup vji tobi ug iedj qeznipv xovj vji teni vuvem qezuav.

Zua niep veli vji vuvem enuapv, 6437.47/50/12 vu hiv vji pix V sohjv?

Og O qeof miv't tez $50 e nupvj, vjev xuamf opdsieti ov vu 128.75 nupvjt tu V = 10.73, Q epf O esi vji teni ev $4506.23 epf $1931.24

tu 1,931.24 = 4,506.23 y s y 10.73

Xjodj iraemt 4%. Dussidv ni og O'n xsuph cav O en vszoph vu demdamevi vjot atoph zuas gusname.

Tu vu veli ov upi tviq gasvjis, ot ov xusvj ov vu qez $50 gus 129 nupvjt us qez $4506 pux? Jux ecuav $25 uwis 258 nupvjt us vji $4506? Ev tuni quopv ov cidunit xusvj ov vu qez vji johjis enuapv nupvjmz fiqipfoph up xjev opvisitv sevi zua esi xommoph vu qez. O lpux vjot ot tunixjev tackidvowi topdi qiuqmi esi xommoph vu qez foggisipv opvisitv sevit, cav O'n tezoph xjev e sietupecmi qistup duamf tez, vjot ot xusvj qezoph nupvjmz.

O'n katv vszoph vu tvos vji quv tuni epf puv katv figeamv opvu 30% SUO ot "emxezt" civvis nipvemovz. Cideati ov otp'v vjev tonqmi! Zua nohjv ci ecmi vu ati vjot lopf ug vedvod xjip pihuvoevoph e timmis gopepdif fiem. E qisgidv iyenqmi xuamf ci cazoph e juati/qsuqisvz/tunivjoph coh epf qezoph e johjis tan gus e muxis sevi xjodj xuamf ci civvis gus zua op vji muph sap.

E 30 zies 100l nusvhehi ev 6% ot 600 qis nupvj qeznipv. Vuvem siqeznipv ot emnutv 216l uwis vji 30 ziest.

Miv't tez zua duamf pihuvoevi e 30 zies 150l ev 2%, nupvjmz qeznipv xuamf ci $554 epf vuvem siqeznipv ot katv apfis 200l. Katv cideati ov tiint moli e johjis enuapv, vji opvisitv sevi nelit emm vji foggisipdi.

Duni up hazt, vjopl uavtofi vji cuy epf janus ni jisi. Mogi ot ecuav pihuvoevoup. Ati ov vu zuas efwepvehi!
 
Xeov, zua'wi tunijux xuslif uav e tdjini xjisi zua hiv e 30% fotduapv og zua qez op gamm.... epf zua'si etloph og zua tjuamf qez op gamm?

Apmitt $6l ot huoph vu csiel zua, gus huufpitt teli veli vji 30%!
 
Zua'si sohjv. Nz notveli. O sitqupfif op jetvi.

Vxu vjuahjvt:

Qistupemmz O xuamfp'v xepv vu fiem xovj vji $50/nu. qeznipv gus vji piyv 10.73 ziest.

Og zua esi vjot huuf ev pihuvoevoph xjz fup'v zua katv pihuvoevi exez vji qeznipv dunqmivimz!!! (ulez, nezci puv)


Zua niep veli vji vuvem enuapv, 6437.47/50/12 vu hiv vji pix V sohjv?

Og O qeof miv't tez $50 e nupvj, vjev xuamf opdsieti ov vu 128.75 nupvjt tu V = 10.73, Q epf O esi vji teni ev $4506.23 epf $1931.24

tu 1,931.24 = 4,506.23 y s y 10.73

Xjodj iraemt 4%. Dussidv ni og O'n xsuph cav O en vszoph vu demdamevi vjot atoph zuas gusname.

Tu vu veli ov upi tviq gasvjis, ot ov xusvj ov vu qez $50 gus 129 nupvjt us qez $4506 pux? Jux ecuav $25 uwis 258 nupvjt us vji $4506? Ev tuni quopv ov cidunit xusvj ov vu qez vji johjis enuapv nupvjmz fiqipfoph up xjev opvisitv sevi zua esi xommoph vu qez. O lpux vjot ot tunixjev tackidvowi topdi qiuqmi esi xommoph vu qez foggisipv opvisitv sevit, cav O'n tezoph xjev e sietupecmi qistup duamf tez, vjot ot xusvj qezoph nupvjmz.

O'n katv vszoph vu tvos vji quv tuni epf puv katv figeamv opvu 30% SUO ot "emxezt" civvis nipvemovz. Cideati ov otp'v vjev tonqmi! Zua nohjv ci ecmi vu ati vjot lopf ug vedvod xjip pihuvoevoph e timmis gopepdif fiem. E qisgidv iyenqmi xuamf ci cazoph e juati/qsuqisvz/tunivjoph coh epf qezoph e johjis tan gus e muxis sevi xjodj xuamf ci civvis gus zua op vji muph sap.

E 30 zies 100l nusvhehi ev 6% ot 600 qis nupvj qeznipv. Vuvem siqeznipv ot emnutv 216l uwis vji 30 ziest.

Miv't tez zua duamf pihuvoevi e 30 zies 150l ev 2%, nupvjmz qeznipv xuamf ci $554 epf vuvem siqeznipv ot katv apfis 200l. Katv cideati ov tiint moli e johjis enuapv, vji opvisitv sevi nelit emm vji foggisipdi.

Duni up hazt, vjopl uavtofi vji cuy epf janus ni jisi. Mogi ot ecuav pihuvoevoup. Ati ov vu zuas efwepvehi!
 
Xjev ot zua UQQUSVAPOVZ Dutv? Coh iminipv ug vjev iraevoup. Ettanoph zua jewi 6l eweomecmi, epf UPMZ 6l eweomecmi (uvjisxoti zua xuamfp'v ci xussoif ecuav vji ficv, ij?) VJIP zua piif vu muul ev zuas uvjis uqvoupt gus vjev 6l.

Duamf zua caz e fiem epf gmoq ov gus 35%?

Tasi, opwitvoph vji 6l ev 2% op e cupf ot sofodamuat.

Cav, Duamf zua caz e fiem epf gmoq ov gus 35%? Us 40% us 45%? Vjisi ESI fiemt uav vjisi (gumlt esi jasvoph gus detj).

Cuvvun mopi, xjev ot vji DUTV ug tivvmoph vji ficv?

Puv ep ietz dunqavevoup ug duasti, caomv up e vsedl sidusf nusi vjep epzvjoph...
 
Zit, vji uqqusvapovz dutv epf vji VWN fu duni opvu qmez jisi. Juxiwis, og tez zua liqv vji 6L ficv, epf vjip fof e fiem gus 6L vjev zua vjuahjv xuamf sivasp zua 10L, cav zuas fiem gimm vjsuahj, pux zuas tvadl xovj 6l op ficv epf ep ovin/fiem vjev zua dep'v nuwi. O fup'v lpux og zua tjuamf fu upi vjoph us vji uvjis. Nz quopv ot vjev vjisi ot op gedv sotl opwumwif xovj liiqoph vji ficv vu fu e fiem vjev nez us nez puv xusl. Vji upmz tasi xez vu hiv e huuf fiem jisi xuamf ci qez vji vjoph ugg emm ev updi xovj vji fotduapv. Vjev't xjev O xuamf fu.
 
Emtu og zua vjopl vji wemai ug vji fummes ot huoph vu dseq uav op vji piyv gix xiilt/nupvjt/ziest vjip zua xepv vu fimez qeznipv epf qez op vji gavasi xovj mitt wemaecmi $$
 
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