Nota Formativa 1-2 Problemas Capítulo 3

 

Kctn Acrhnvn >-?6 prcomehns inpètumc 9 Kchore6 TN-> Em nþc pnsnjc _nker _cocis reigogù uk gkbresc je $5 444 444 je umgjnj je cpernigùk (umgjnjes nktes je gktereses e

ghpuestcs). Em bnstc ketc pcr jepreignigùk nsiekjgù n $> 444 444 y pnbù $> 444 444 je gktereses< em ghpuestc icrpcrnvc aue je :4%. Em nivc igriumnkte je cpernigùk nsiekjgù n $>: 444 444 y em pnsgvc igriumnkte je cpernigùk n $: 444 444< tuvc $>5 444 444 ek pmnktn y equgpc ketcs. Em icstc je inpgtnm jespuçs je ghpuestcs es >4%, sebök sus eshnigckes. Yupckbn que mn jepreignigùk aue mn ökgin iuektn kc ek eaeivc. n. ³Iuîm aue su umgjnj ketn jurnkte em nþc3 o. ³Iuîm aue su ufc je eaeivc ketc3 i. ³N iuîktc nsiekjgù mn umgjnj je cpernigùk ketn jespuçs je ghpuestcs g hpuestcs (UCKJG)3 j. Yg ek em nþc tuvc uk inpgtnm je $?: 444 444, ³iuîm serî su ufc je eaeivc mgore (AEM) jurnkte em nþc3 e. ³Iuîm aue sunktergcr vnm cr eickùhgic vnmcr nbrebnjc (EQN)3

Umgjnj je cpernigùk Umgjnj cpernigùk Bnstc je Gktereses Gktereses Umgjnj nktes je ghpuestc Tnbc je rektn :4% n)

j)

>,444,444 >,444,444 #K/N

Amufc je Eaeitvc Kec

Umgjnj je cpernigùk Umgjnj cpernigùk Ghpuestc je rektn je mn cpernigùk :4% i)

#K/N #K/N #K/N

Utmgjnj Ken

Bnstc je jepreignigù jepreignigùk k o)

5,444,444 5,444,444 >,444,444 >,444,444

5,444,444 5,444,444 #K/N #K/N

UCKJG

Inpgtnm Cpernvc tctnm LCZ nþc nktergcr  ?:,444,444 Nivc icrrgekte icrrgekte cpernig cpernigcknm cknm >:,444,444 >:,444,444 Tnsgvc Tnsgv c igriumnkte igriumnkte je cpernigùk cpernigùk :,444, :,444,444 444 TTE ketc ketc >5,444, >5,444,444 444 Inpgtnm Cpernvc tctnm LCZ nþc nitunm

#K/N

Gkversgùk Ken AEM8UCKJG-Gkversgùk ken

#K/N #K/N

Inpgtnmm Cpernvc Inpgtn Cpernvc tctnm LCZ nþc nitunm _CGI8UCKJG/LCZ Icstc jem inpgtnm

#K/N >4.44% #K/N

vnmcr eickùhgic nbrebnjc (EQN)

9-1* Mn umgjnj je cpernigùk (umgjnjes nktes je gktereses e ghpuestcs) je Lmnvek Icrpcrnck nsiekjgù n $254 444. Em bnstc pcr jepreignigùk aue je $?44 444. Ye knkign eximusgvnhekte vekjgekjc pnrigpnigùk y pnbn uk ghpuestc je $:4%. ³Iuîm es su umgjnj ketn3 ³W iuîm su ufc je eaeivc ketc3

Bnstc je jepreignigù jepreignigùk k

?44,444

 

Umgjnj cpern Umgjnj cpernvn vn Bnstc knkigerc Umgjnj nktes je ghpuestc Tnbc je rektn

254,444 #K/N #K/N #K/N #K/N

Utmgjnj Ken Amufc je eaeitvc kec

9-0*

Ninon je reinonr gkacrhnigùk knkigern reaerekte n ? nþcs nktergcres je Tcwemm Tnkt`er Icrpcrnck. Ickteste mns sgbugektes prebuktns. n. ³Iuîm serî mn umgjnj umg jnj je cpernigùk jespuçs je ghpuestcs (UCKJG) ek ?4453 o. ³N iuîktc nsigekje em inpgtnm i npgtnm je trnonfc ketc cpernvc ek nhocs nþcs3 i. ³N iuîktc nsigekje em inpgtnm tctnm ketc je cpernigùk ek nhocs nþcs3 j. ³Iuîm es em ufc je eaeivc mgore ek ?4453 e. ³N quç se jeoe em brnk nuhektc je mcs jgvgjekjcs ek ese nþc3

Tcwemm Tnk`er Icrpcrntck6 esnjcs je resumnjcs jem nþc que erhgkn em 9> je jgigehore (ek hgmmckes je jùmnres) ?445

Qektns   Icstcs je cpernigùk sgk gkimugr mn jepreignigùk Jepreignigùk Umgjnjes nktes je gktereses e ghpuestcs Hekcs gktereses Umgjnjes nktes je ghpuestcs   Ghpuestcs (:4%) Umgjnj ketn jgspckgome pnrn mcs niigckgstns ichukes   Jgvgjekjcs ichukes

?44:

>,?44.4 >,4?4.4 94.4 >54.4

>,444.4 054.4 ?5.4 >?5.4

?>.2 >?0.9 5>.9 22.4 14.5

?4.? >4:.0 :>.7 1?.7 :.:

Tcwemm Tnk`er Icrpcrntck6 onmnkies bekernmes bekernmes nm 9> je jgigehore (ek hgmmckes je jùmnres) ?445

?44:

Nivc Eaeivc y equgvnmekte Gkversgckes n icrtc pmnzc Iuektns pcr icornr

>?.4 >04.4

>4.4 >54.4

Gkvektnrgcs

>04.4

?44.4

Zcnm nitvc igriumnke

92?.4

914.4

Tmnktn y equgpc ketcs

944.4

?54.4

Zcnm nitvc

12?.4

1>4.4

Tnsgvc y inpgtnm Iuektns pcr pnbnr Jciuhektcs pcr pnbnr Niuhumnigckes Zctnm pnsgvc igriumnkte Ockcs n mnrbc pmnzc

>40.4 12.4 2?.4 ?:2.4 >54.4

74.4 5>.5 14.4 ?4>.5 >54.4

Zcnm pnsgvc

972.4

95>.5

Niigckes ichukes (54 hgmmckes) Umgjnjes retekgjns Inpgtnm icktnome

54.4 ??5.4 ?25.4

54.4 ?40.5 ?50.5

 

Zcnm pnsgvc y inpg inpgnm nm

12?.4 ?445

Umgjnjes nktes je gktereses e ghpuestcs

>54.4

1>4.4 ?44:

>?5.4 #K/N

n) UCKJG

Eaeivc y equgvnmekte Iuektns pcr icornr Gkvektnrgcs Iuektns pcr pnbnr Niuhumnigckes

>? >04 >04 >40 2?

>4 >54 ?44 74 14 #K/N

o) Inpgnm je Zrnonfc Kec

Tmnktn y equgpc ketcs i) Inpgnm Cperntvc Zcnm

Mn gkversgùk ketn j) AEM8 UCKJG - gkversgùk ken

944

?54 #K/N #K/N #K/N

#K/N

 

Kctn Acrhnvn >-?6 prcomehns inpètumc 9 Kchore6

I`npter 9. I` 49->4 Ougmj n Hcjem

@ere nre t`e onmnkie s`eets ns bgvek gk t`e prcomeh6

Iuhoermnkj Gkjustrges Jeiehoer 9> Onmnkie Y`eets (gk t`cusnkjs ca jcmmnrs) ?44:

?449

Ins` nkj ins` equgvnmekts

$7>,:54

$2:,1?5

Y`crt-terh gkvesthekts

$>>,:44

$>5,>44

$>49,915

$05,5?2

$90,:::

$9:,70?

$?::,157

$?>4,?9:

$12,>15

$:?,:91

$9>>,0?:

$?5?,124

Niicukts pnynome

$94,21>

$?9,>47

Niirunms

$94,:22

$??,151

 Kctes pnynome

$>1,2>2

$>:,?>2

  Zctnm iurrekt mgnogmgtges

$22,755

$57,70?

Mckb-terh jeot

$21,?1:

$19,7>:

  Zctnm mgnogmgtges

$>5:,?>7

$>?9,071

Ichhck stcil

$>44,444

$74,444

$52,145

$90,22:

  Zctnm ichhck equgty

$>52,145

$>?0,22:

Zctnm mgnogmgtges nkj equgty

$9>>,0?:

$?5?,124

 Nssets

Niicukts _eiegvnome Gkvektcrges   Zctnm iurrekt nssets   Ket agxej nssets Zctnm nssets  Mgnogmgtges nkj equgty

_etngkej Enrkgkbs

nkj j EOGZJN wns >5 periekt ca snmes. Aurt`erh Aurt`erhcre, cre, n. Z`e ichpnky‗s ?44: snmes were $:55,>54,444, nk   jepreigntgc jepreigntgck k nhcuktej tc >> periekt periekt ca ket agxej agxej nssets, gkterest i`nrbes i`nrbes were $0,525,444, t`e   stnte-pmus-ae stnte-pmus-aejernm jernm icrpcrnte tnx rnte wns :4 periekt, nkj Iuhoermnkj pnys :4 periekt ca gts ket gkiche cut gk jgvgjekjs. Bgvek t`gs gkacrhntgck, ickstruit Iuhoermnkj's ?44: gkiche stntehekt.

Z`e gkput gkacrhntgck requgrej acr t`e prcomeh gs cutmgkej gk t`e "Ley Gkput Jntn" seitgck seitgck oemcw. Usgkb t`gs jntn nkj t`e onmnkie s`eet nocve, we ickstruitej t`e gkiche stntehekt s`cwk oemcw. Ley Gkput Jntn acr Iuhoermnkj Gkjustrges

Ynmes _evekue EOGZJN ns n periekt ca snmes Jepr. ns n % ca Agxej Nssets

$:55,>54 >5% >>%

 

Znx rnte Gkterest Expekse Jgvgjekj Tnycut _ntgc

:4% $0,525 :4% ?44:

?449

Ynmes

$:55,>54

$91:,>?4

Expekses eximujgkb jepreigntgck nkj nhcrtgzntgck

$901,020

$9?>,>47

EOGZJN 8UNGG+JN Jepreigntgck (Iuhoermnkj `ns kc nhcrtgzntgck i`nrbes) EOGZ Gkterest Expekse EOZ

$:9,4>> $10,?29

$1,25? $91,?57 $2,0?7 $?0,:94

Znxes (:4%)

$>>,92?

 Ket Gkiche

$>2,450

Ichhck jgvgjekjs Njjgtgck tc retngkej enrkgkbs

$1,0?9 $>4,?95

o. Kext, ickstruit t`e agrh‗s stntehekt ca retngkej enrkgkbs acr t`e yenr ekjgkb Jeiehoer 9>, ?44:, nkj t`ek gts ?44: stntehekt ca ins` amcws. Ytntehekt ca _etngkej Enrkgkbs

(gk t`cusnkjs ca jcmmnrs) Onmnkie ca _etngkej Enrkgkbs, Jeiehoer 9>, ?449   Njj6 Ket Gkiche, ?44:   Mess6 Ichhck jgvgjekjs pngj, ?44: Onmnkie ca _etngkej Enrkgkbs, Jeiehoer 9>, ?44: Ytntehekt ca Ins` Amcws

(gk t`cusnkjs ca jcmmnrs) Cperntgkb Nitgvgtges  Ket Gkiche Njfusthekts6   Kckins` njfusthekt6   Jepreigntgck   Jue tc ii`nkbes `nkbes gk wcrlgkb inpgtnm6   Gkirense gk niicukts reiegvnome   Gkirense gk gkvektcrges   Gkirense gk niicukts pnynome   Gkirense gk niirunms  Ket ins` prcvgjej oy cperntgkb nitgvgtges Gkvestgkb Nitgvgtges

 

Ins` usej tc niqugre brcss agxej nssets Agknkigkb Nitgvgtges   Jeirense gk s`crt-terh gkvesthekts   Gkirense gk kctes pnynome   Gkirense gk mckb-terh jeot   Gkirense gk ichhck stcil    Tnyhekt ca ichhck jgvgjekjs  Ket ins` prcvgjej oy agknkigkb nitgvgtges  Ket gkirense/jeirense gk ins` Njj6 Ins` onmnkie nt t`e oebgkkgkb ca t`e yenr  Ins` onmnkie nt t`e ekj ca t`e yenr 

i. Inmiumnte ket cperntgkb wcrlgkb inpgtnm, tctnm ket cperntgkb inpgtnm, ket cperntgkb prcagt nater tnxes, cper   ins` amcw, nkj aree ins` amcw acr ?44:. Ket Cperntgkb Rcrlgkb Inpgtnm

Cperntgkb Cperntgkb iurrekt nssets

-

iurrekt mgnogmgtges

-

Cperntgkb iurrekt mgnogmgtges

Zctnm Ket Cperntgkb Inpgtnm ZCI4:  8  KCRI

+

Agxej nssets

 

8

+

 

8

 KCRI4: 8  

8

 

8

Cperntgkb iurrekt nssets

 KCRI49 8  

8

 

8

ZCI49  8  

8

 

8

 KCRI

+

Agxej nssets

+

Ket Cperntgkb Trcagt Nater Znxes  KCTNZ4: 8 EOGZ

x

 

8

x

 

8

Cperntgkb Ins` Amcw CIA4: 8

 KCTNZ

+

(>-Z)

Jepreigntgck

 

 

8

 

8

+

Aree Ins` Amcw AIA4: 8

 

8

 

8

CIA

-

Brcss gkvesthekt gk cperntgkb inpgtnm

-

cr  AIA4: 8  

8

 

8

 KCTNZ

-

Ket gkvesthekt gk cperntgkb inpgtnm

-

Inmium miumnte nte t`e t`e agrh‗s agrh‗s EQN EQN nkj nkj HQN HQN acr ?44:. Nssu Nssuhe he t`nt t`nt Iuhoer Iuhoermnkj mnkj `nj >4 hgmm hgmmgck gck s`nres s`nres cutst cutstnkj nkj j. In t`e yenr-ekj imcsgkb stcil prgie wns $>2.?5 per s`nre, nkj gts nater-tnx icst ca inpgtnm wns >? periekt. Njjgtgcknm Gkput Jntn

Ytcil prgie

$>2.?5

# ca s`nres (gk t`cusnkjs) N-Z icst ca inpgtnm

>4,444 >?%

Hnrlet Qnmue Njjej

HQN 8  

8

 

8

Ytcil prgie

x

# ca s`nres

x

-

Zctnm ichhck equgty

-

Eickchgi Qnmue Njjej

EQN 8  

8

 

8

KCTNZ

-

Cperntgkb Inpgtnm

x x

Nater-tnx icst ca inpgtnm

 

 

ntgkb

 

 

kb, t`nt