PRACT PROPUES Cap 7 A y B 2021-1

 

@rn. Znquid Hnrrirn Hnkm

Lkc. `i Hmstms y Rrisupuistms

RZNHPLHNX RZMRYIXPNX HNRLPYDM K² QLL

3.>: Rrîhtlhns RZNHPLHN K¿ 3.> Rrisupuistm adixljdi, vnrlnhlmkis ik hmstms `lrihtms Dn ieprisn Xinr anjrlhn onrrmkis `i hirîelhn. Ysn id slstien `i hmstim istîk`nr hunk`m `isnrrmddn dns hnktl`n`is su prisupuistm adixljdi. njrld `idhmk :2>9 pmr gc. Dn ieprisn hmeprm 9222 Gc. @i entirlndis n $>1.92, pnrn uk tmtnd `i $6:922 (Isti  prmjdien ldustrn hmem hndhudnr dns vnrlnhlmkis `i entirlndis `lrihtms, hunk`m dn hnktl`n` `i entirlndis hmeprn`ms ik uk pirlm`m `laliri `i dn hnktl`n` `i entirlndis utldlzn`ms ik isi pirlm`m) Dns fmrns rindis `i enkm `i mjrn `lrihtn auirmk `i 8:92, n uk hmstm tmtnd `i $11822. Id tliepm istîk`nr `i enkm `i mjrn pireltl`m is `i >.9 fmrns pmr ukl`n` prm`uhl`n, y id hmstm istîk`nr `i dn enkm `i mjrn `lrihtn is `i $:2 pmr fmrn. Xi riquliri? >. Hndhudi dn vnrlnhløk ik id prihlm `i dms entirlndis `lrihtms, dn vnrlnhløk ik ialhlikhln, nså hmem dn vnrlnhløk ik id prihlm `i enkm `i mjrn `lrihtn y dn vnrlnhløk ik ialhlikhln. Jnsi dn vnrlnhløk ik id prihlm `i dms entirlndis `lrihtms ik uk  prisupuistm adixljdi pnrn dn hnktl`n` rind hmeprn`n7 y jnsi dn vnrlnhløk ik dn ialhlikhln `i dms entirlndis `lrihtms ik uk prisupuistm adixljdi pnrn dn hnktl`n` rind utldlzn`n.

RZNHPLHN K² 3.: Rrisupuistm adixljdis, vnrlnhlmkis ik hmstms lk`lrihtms  Klkn Cnrhån is dn kuivn prisl`iktn `i dn dnsir sir pr prm`uhtm m`uhtm y istî ixnelknk ixnelknk`m `m dm dmss risudtn`m risudtn`mss `i enrzm `id :2>< pnrn dn `lvlsløk `i p prm`uhtms rm`uhtms nirmispnhlndis .Istn `lvlsløk anjrlhn pnrtis `id ndn pnrn sntìdltis .Dn primhupnhløk nhtund `i Cnrhån is hmk dms hmstis lk`lrihtms `i enkuanhturn ik dn `lvlsløk `i prm`uhtms nirmispnhlndis .Pnktm dms hmstms lk`lrihtms vnrlnjdis hmem dms aloms si npdlhnk n dns pnrtis `id ndn tmenk`m hmem jnsi dns fmrns `i hmrti hmk dîsir .Xi `lspmki `i dn slculikti lkamrenhløk prisupuistn`n .

 

Pnsn prisupuistn`n `i hmstms lk`lrihtms vnrlnjdis

m

 

$:22 pmr fmrn Pnsn prisupuistn`n `i hmstis lk`lrihtms aloms

m

 

$:02 pmr fmrn

m

 

`id ndn

m

 

:2>:

m

Pliepm prisupuistn`m `id hmti hmk dîsir pmr pnrti >.9 fmrns Qiktns y prm`uhhløk prisupuistn`ms pnrn enym `id 9222 pnrtis `id ndn Hmstms lk`lrihtms aloms prisupuistn`ms pnrn enym `id

:2>: $> 622 222 Dms risudtn`ms rindis pnrn id eis `i enym `id :2>< auirmk dms slculiktis? m  Rnrtis `id ndn prm`uhl`ms

y

vik`l`ms

0 622 ukl`n`is

>

 

@rn. Znquid Hnrrirn Hnkm

Lkc. `i Hmstms y Rrisupuistms

 

Fmrns

m

 

hmrti

hmk

dîsir

usn`ms

6 022 fmrns Hmstms

m

 

`i

$

lk`lrihtms

vnrlnjdis

> 036 022 Hmstms

m

lk`lrihtms

aloms

$ > 68: :22 Xi riquliri? N.  Hndhudi dn vnrlnhløk ik cnstms y dn vnrlnhløk ik ialhlikhln `i dms hmstms lk`lrihtms vnrlnjdis. J.  Hndhudi dn vnrlnhløk ik cnstms y dn vnrlnhløk ik id vmdueik `i prm`uhhløk pnrn dms hmstms lk`lrihtms aloms. H.  @i `ms ixpdlhnhlmkis pnrn hn`n ukn `i dns vnrlnhlmkis qui si hndhudnrmk ik dms  puktms > y :.

RZNHPLHN K² 3.8 Rrisupuistm adixljdi Ik uk nþm `itirelkn`m Amktnki Hmepnky anjrlhm :22 222 ukl`n`is `i prm`uhtms. Id hmstm tmtnd `i prm`uhhløk `i $ 022 222 lkhduån hmstms aloms pmr $ >62 222.Xupmkcn qui ik id prm`uhlrîk½Hndhudi hnejlmsidik dms prihlms y qui km smk pnrn npdlhnjdis hnejlms ik nþm dms slculikti eìtm`ms km `i si prm`uhhløk. hmstm tmtnd prisupuistn`m prm`uhlr ::22 ukl`n`is nd nþm slculikti=

RZNHPLHN K² 3.0 Rrisupuistm Adixljdi Id `lrihtmr `i uk hiktrm hmeÿk `i vifåhudms `id ioìrhltm istî lktiktnk`m istlenr id hmstm `i mpirnr uk admtn `i :2 hnelmkis .@ms crnk`is primhupnhlmkis smk? id hmejustljdi $2.>6 pmr elddn y dn `iprihlnhløk nkund pmr hneløk, $6 222. Rripnri dms lepmrtis `id prisupuistm adixljdi pnrn id hmejustljdi y dn `iprihlnhløk pnrn :2 hnelmkis `i uk klvid `i >2 222, :2 222 y 82 222 elddns pmr hneløk

RZNHPLHN K² 3.9 Rrisupuistm adixljdi Dn ieprisn DLV, kms prisiktn dn slculikti lkamrenhløk nd eis `i Njrld `id :2><

.Ykl`n `is .Ykl`n`is Qiktns .Hmstms vnrlnjdis 

Lepmrti prisupuistn`m @lvirsms klvidis `i vmdÿeik pmr ukl`n` >6 222 :2 222 :: 222 $ 82

Entirlnd `lrihtm Hmejustljdi .Hmstms aloms  Xuid`ms `i ioihutlvms @iprihlnhløk Xi riquliri? >. Hmepditnr dms ispnhlms ik jdnkhm

$ :2 $ :

812 222

02 222 12 222

:. @ljuonr n enkm ukn crîalhn `id prisupuistm adixljdi pnrn dns pnrtl`ns qui si prisiktnrmk.

:

 

@rn. Znquid Hnrrirn Hnkm

Lkc. `i Hmstms y Rrisupuistms

RZNHPLHN K² 3.1. Rrisupuistm adixljdi jîslhm Dms prihlms prisupuistn`ms pnrn entirlndis `lrihtms y enkm `i mjrn `lrihtn pmr ukl`n` `i  prm`uhtm tirelkn`m smk $>2 y $0, rispihtlvneikti. Id cirikti `i prm`uhhløk istî sntlsaihfm hmk dn slculikti lkamrenhløk?

E@ EM@

Hmstm rind

Rrisupuistm istîtlhm(enistrm)

Qnrlnhløk

$ 222 8< 222

$ >22 222 02 222

$< 222A > 222A

Xi riquliri? ½Istî oustlalhn`n dn sntlsanhhløk `id cirikti= Dn prm`uhhløk juikn aui `i 6 622 ukl`n`is. Rripnri uk lkamrei `i `isiepiþm qui utldlhi uk prisupuistm adixljdi y uk prisupuistm istîtlhm.

RZNHPLHN K² 3.3 Qnrlnhløk ik prihlms y vmdueik `i viktns PG Lktirprlhis vik`lø 992 222 ukl`n`is `urnkti id prleir trleistri tirelkn`m nd 8> `i enym `id :2:2. Istns viktns riprisiktnk uk nueiktm `id >2% smjri id kÿeirm `i ukl`n`is  prisupuistn`ns pnrn id trleistri. N pisnr `id nueiktm ik dns viktns dns utldl`n`is auirmk lkairlmris nd prisupuistm, tnd hmem si euistrn ik id istn`m `i risudtn`ms hmk`iksn`m qui si prisiktn n hmktlkunhløk

Qiktns

PG Lktirprlhis Istn`m `i risudtn`ms Nd 8> `i enym `id :2:2 (Hlarns ik eldis `i `ødnris) Rrisupuistm Zind $: 922 $: :82

Hmstms vnrlnjdis (-)Hmstms `i dn eirhnkhån vik`l`n (-)@i viktns (-) Pmtnd `i hmstms vnrlnjdis

Enrcik `i hmktrljuhløk Hmstms aloms (-) @i viktns (-) @i n`elklstrnhløk (-)Pmtnd `i hmstms aloms

Ytldl`n` nktis `i lepuistms (-) lepuistms n dn riktn (02%)

Ytldl`n` kitn

> 039 022

> 902 002

> 639 1:9

> :9 :39

>92 822

022 ::9

092 >22

89

$

12

Id `ipnrtneiktm `i hmktnjldl`n` sliepri pripnrn uk jrivi nkîdlsls qui ixpdlhn dn `lairikhln iktri utldl`n` kitn prisupuistn`n y dm rind. Isti nkîdlsls, qui nÿk km si fn tirelkn`m pnrn id prleir trleistri, si iktricn n dn ndtn `lrihhløk ouktm hmk id istn`m `i risudtn`ms. Xi riquliri?

8

 

@rn. Znquid Hnrrirn Hnkm

Lkc. `i Hmstms y Rrisupuistms

Rripnrnri ukn ixpdlhnhløk `i dn vnrlnhløk `isanvmrnjdi `i $ >:9 222 iktri dn utldl`n` nktis `i lepuistms prisupuistn`ms y dn rind `id prleir trleistri, pnrn dn ieprisn, hndhudîk`m ukn smdn hnktl`n` tmtnd pnrn hn`n ukn `i dns slculiktis pnrtl`ns? >.  :.  8.  0. 

Qnrlnhløk ik id prihlm `i viktn. Qnrlnhløk ik id hmstm vnrlnjdi ukltnrlm Qnrlnhløk ik id vmdueik `i viktns pnrn id enrcik `i hmktrljuhløk Qnrlnhløk ik id hmstm alom.

RZNHPLHN K² 3.6 Qnrlnhløk `i entirlndis Yk anjrlhnkti `i eisns utldlzn hujlirtns pdîstlhns. Id pdîstlhm si hmeprn ik crnk`is tnenþms, si hmrtn sicÿk dns kihisl`n`is y `ispuìs si picn n dns eisns. Ykn eisn `i uk tnenþm `itirelkn`m riquirlrî `i ukn hnktl`n` ispihåalhn `i pdîstlhm. Xl dn hnktl`n` `i  pdîstlhm kihisnrlm pnrn hn`n eisn ` `ii PQ ` `id id tlpm A is ` `ii 0 plis hun`rn`ms y id hmstm `id  pli hun`rn`m hun`rn` m is `i $ 2.19, id hmstm istîk`nr `id pd pdîstlhm îstlhm pnrn uk uknn smdn eisn `i PQ sirån `i $ :.12. Xlk iejnrcm, ukn hlirtn mr`ik `i prm`uhhløk `i > 222 eisns `n hmem risudtn`m hmeprns y utldlznhløk `i 0 822 plis hun`rn`ms n $ 2.32 id pli hun`rn`m, hmk uk hmstm tmtnd `i $ 8 2>2. Xi riquliri? ½Hndhudi dn vnrlnhløk ik prihlm y ik ialhlikhln=

RZNHPLHN K¿ 3.2 222 ukl`n`is `i uk nrtåhudm. Xupmkcn qui id entirlnd `lrihtm istîk`nr pireltl`m is `i : dljrns pmr ukl`n` hmk uk hmstm `i $8 pmr dljrn. Ik dn rindl`n` si utldlznrmk :> 222 dljrns `i entirlndis (lksuems) pnrn prm`uhlr dns >2 222 ukl`n`is (prm`uhhløk). @i lcund amren supmkcn qui si istlen qui si kihisltnrnk 0 fmrns `i enkm `i mjrn `lrihtn  pnrn prm`uhlr ukn ukl`n` y qui id hmstm istîk`nr pmr fmrn `i enkm `i mjrn `lrihtn is `i $8. Xlk iejnrcm, si utldlznrmk 0: 222 fmrns (lksuems) pnrn prm`uhlr dns >2 222 ukl`n`is. Xi riquliri? ½Hndhudi dns vnrlnhlmkis ik ialhlikhln pnrn id entirlnd `lrihtm y dn enkm `i mjrn `lrihtn.=  

RZNHPLHN K¿ 3.>2 Qnrlnhlmkis `i entirlndis y enkm `i mjrn Xi prisiktn dn slculikti lkamrenhløk?

E@

EM@

Rrihlm rind pmr ukl`n` `i lksuems (dljrn y fmrn) $>9 $< Rrihlm istîk`nr pmr ukl`n` `i lksuems $>: $>2 Lksuems istîk`nr pireltl`ms pmr ukl`n` `i prm`uhhløk 9 : Ykl`n`is rindis `i lksuems 06222 ::222 Ykl`n`is rindis `i prm`uhhløk (prm`uhtm) >2222 >2222 Xi riquliri? >.  Hndhudi dns vnrlnhlmkis ik prihlm, ialhlikhln y prisupuistm adixljdi pnrn id entirlnd `lrihtm y dn enkm `i mjri `lrihtn. :.  Rripnri ukn ixpdlhnhløk rnzmknjdi `id `isiepiþm. 0

 

@rn. Znquid Hnrrirn Hnkm

Lkc. `i Hmstms y Rrisupuistms

RZNHPLHN K²? 3.>> Qnrlnhlmkis ik entirlndis y enkm `i mjrn Dn ieprisn Sij Hmepnky, kms prisiktnk dns slculiktis lkamrenhlmkis  

Ykl`n`is prm`uhl`ns ……………………………………… ……………………………………….. ..…. ….>2 >2 622 Lepmrtis prisupuistn`ms m istîk`nris pmr ukl`n` . Entirlnd `lrihtm (0 dljrns n X/. 9)…………………………….. 9 )…………………………….. $ :2  :2  . Enkm `i mjrn `lrihtm (: fmrns n $ 6) …………. …………. .. ..…………… …………… >1  >1 

Lkamrenhløk rind?

Hmstm `i E@……………………… E@………………………   $ :32 222 Hmstms `i EM@ EM@…….…. …….….   $ >3> 122 Dljrns `i lksuems hmeprn`ms y usn`ms 92 222 Fmrns `i lksuems… lksuems….. ...... :: 222 Rrihlm pmr dljrn………...……………. dljrn………...…………….  $ 9.02 Rrihlm pmr fmrn `i EM@. $ 3.62 Xi riquliri? >. Hndhudi? n) dns vnrlnhlmkis `i prihlm y ialhlikhln pnrn id entirlnd `lrihtm y j) dns vnrlnhlmkis ik prihlm y ialhlikhln pnrn dn enkm `i mjrn `lrihtn. :. Xupmkcn qui id slstien `i hmktrmd `i dn ieprisn si `lsiþø pnrn nlsdnr dns vnrlnhlmkis ik dms prihlms `i entirlndis nd emeiktm `i dn hmeprn ik ducnr `i fnhirdm hunk`m si utldlhik. Xupmkcn n`ieîs qui ik `urnkti id eis `i njrld si hmeprnrmk 12 222 dljrns `i entirlndis, pirm sødm si iktricnrmk n dn prm`uhhløk 92 222 dljrns.½ Hndhudi dn vnrlnhløk ik id prihlm `i hmeprn qui lkamrenrån id slstien `i hmktrmd=

RZNHPLHN K² 3.>: Qnrlnhlmkis `iprm`uhi entirlndis y enkm `i mjrn >.- Hnrjirc Hm y vik`i uk smdm prm`uhtm ik $ :2. Dn ieprisn utldlzn uk slstien `i hmstim istîk`nr, nlsdnk`m tm`ns dns vnrlnhlmkis tnk prmktm hmem is pmsljdi. Ik id istîk`nr  pnrn uk prm`uhtm prm` uhtm tirelkn`m si lkhduyik? Entirlndis @lrihtms (>Gc n $:)…………………………. $:.22 $:.22   Enkm `i mjrn `lrihtn (2.1 fmrns n $>2)…………………….  $>2)…………………….   1.22 Ykl`n`is prm`uhl` ns……………………………………… ns……………………………………… 9 >22 9 >22 Entirlndis `lrihtms hmeprn`ms n $:.>2 pmr gc…………... 9 :22 gc Entirlndis `lrihtms usn`ms ik dn prm`uhhløk……………… 9 822 gc Enkm `i mjrn `lrihtn n $>2.:2 pmr fmrn…………………… 8 :22 f Xi riquliri? ½Hndhudi dns vnrlnhlmkis ik prihlm y ialhlikhln pnrn id entirlnd `lrihtm y dn enkm `i mjrn `lrihtn=

Rrîhtlhn K² 3.>8 Ddiki dms ispnhlms ik jdnkhm Ytldlhi dn lkamrenhløk `i cnstms lk`lrihtms `i aîjrlhn pnrn ddiknr dms ispnhlms ik

jdnkhm

Qnrlnjdis

Aloms

  Hmstms rindis lkhurrl`ms …………………….. ……………………..X/. X/. >> 622   Npdlhn`ms nd prm`uhtm …………………..… < 222   Rrisupuistm adixljdi? fmrns istîk`nr pireltl`ns

X/.9 2 222 Ytldlhi A pnrn anvmrnjdi y @ pnrn `isanvmrnjdi

9 222

•

• •

•

>. Qnrlnhløk ik cnstm

Qnrlnjdis

9 222

Aloms

9

 

@rn. Znquid Hnrrirn Hnkm

Lkc. `i Hmstms y Rrisupuistms

:. Qnrlnhløk ik ialhlikhln 8. Qnrlnhløk ik vmdueik `i prm`uhhløk 0. Qnrlnhløk `id prisupuistm adixljdi

RZÎHPLHN K² 3.>0 Ddikik dms ispnhlms ik jdnkhm Ytldlznk`my dn `i cnstms lk`lrihtms anvmrnjdi @ lkamrenhløk pnrn `isanvmrnjdi, ddiki ispnhlms `i ik aîjrlhn jdnkhm qui si `n y usnk`m A pnrn

Rrisupuistm pnrn dns fmrns rindis `i lksuems Npdlhn`ms Rrisupuistm pnrn dns fmrns istîk`nr pireltl`ns  pnrn dn prm`uhhløk prm`u hhløk rind ndhnkzn`n Hmstms rindis lkhurrl`ms >. Qnrlnhløk ik cnstm :. Qnrlnhløk ik ialhlikhln 8. Qnrlnhløk ik vmdueik `i prm`uhhløk 0. Hmstms lk`lrihtms sujnpdlhn`ms 9. Qnrlnhløk ik id prisupuistm adixljdi

Aloms

Qnrlnjdis

X/.12 222 99 222

X/.02 222 81 222

9< :22

08 222

RZNHPLHN K² 3.>9 Nkîdlsls `lrihtm `i dms cns cnstms tms lk`lrihtms Døpiz Hmepnky utldlzn uk slstien `i hmstms istîk`nr. Id hmstm istîk`nr `id prm`uhtm \, smjri dn jnsi `i ukn nhtlvl`n` `id `ikmelkn`mr `i 02 222 ukl`n`is nkundis, lkhduån 1 fmrns `i cnstms lk`lrihtms vnrlnjdis n $ 2.62 pmr fmrn y3 1 fmrns lk`lrihtms aloms n $ >.92 dn fmrn. Dn prm`uhhløk rind mjtikl`n aui `i 00 222 ukl`n`is. Dms cnstms lk`lrihtms `i aîjrlhn vnrlnjdis rindis auirmk $ :09 222. Dns fmrns rindis `i lksuems auirmk :60 222. Dms cnstms lk`lrihtms aloms rindis auirmk $ 838 222. Xi riquliri? Rripnri ukaloms. nkîdlsls `i tm`ns dns vnrlnhlmkis `i cnstms lk`lrihtms vnrlnjdis y cnstms lk`lrihtms

1