Principios - Ejercicios 8 Sol

 

 KVFZI Vklvfrslc`c N`rbis LLL cf H`crlc „ Cfp`rt`hfkti cf Fnikihè` Urlknlplis cf Fnikihè` „ Mio` cf priabfh`s =

Urfgukt`s niknfptu`bfs Fsnrlaff uk` rfs Fsnrla rfspuf pufst` st` nb` nb`r` r` y niknls niknls`. `. Nu`kci Nu`kci sf tf prfguk prfguktf tf rfs rfsibv ibvfr fr fb priabf priabfh` h` fk nb` nb`sf sf,, fxpbln fxpbln`` nb`r`hfktf fb niknfpti y pripirnlik` fofhpbis quf bi cfhufstrfk. 0.

¹P ¹Puì uì fs fb Ur Uric icun unti ti Lktf Lktfrl rlir ir Arut Aruti9 i9 Urip Uripir irnl nlik ik`` `b hf hfki kiss trf trfss fo fofh fhpb pbis is cf al alfk fkfs fs quf sik sik nihpr`cis i vfkclcis pfri quf ki fstàk lknbulcis fk fb ULA.  Fb ULA hlcf fb v`bir cf bis alfkfs y sfrvlnlis jlk`bfs pricunlcis cfktri cf uk p`ès fk uk pfrèici cftfrhlk`ci. Fofhpbis cf nihpr`s ki lknbulcis? vfkcfr uk ninmf us`ci, nihpr`r crig`s lbfg`bfs, vfkcfr uk ofrsfy ` uk `hlgi. 1. ¹Nuàb fs b` cljfrfknl` fktrf fb ULA kihlk`b y fb rf`b9 ¹Puì fs fb cfjb`ntir cfb ULA9  Fb ULA kihlk`b sf n`bnub` utlblz`kci bis prfnlis cfb `ði nirrlfktf hlfktr`s quf fb ULA rf`b sf n`bnub` utlblz`kci bis prfnlis cf uk `ði a`sf. Fb cfjb`ntir cfb ULA fs fb ninlfktf fktrf fb ULA kihlk`b y rf`b y hlcf fb n`hali cf bis prfnlis cf bis alfkfs lknbulcis fk fb ULA fktrf fb `ði nirrlfktf y fb a`sf. >. ¹Uir quì fb lkgrfsi tit`b fs lgu`b `b g`sti tit`b p`r` uk` fnikihè` fk su nikoukti9  Fb Uricunti Aruti Lktfrki hlcf cis nis`s `b hlshi tlfhpi (0) fb lkgrfsi kfti tit`b cf n`c` mig`r  cf b` fnikihè` y (1) fb g`sti tit`b cf fs` fnikihè` fk alfkfs y sfrvlnlis jlk`bfs. Uufcf hfclr b`s cis nis`s ` b` vfz pirquf tici fb g`sti cf b` fnikihè` tfrhlk` slfkci fb lkgrfsi cf `bgulfk. B`  suh` cf v`birfs `grfg`cis cf uk` fnikihè` fs lgu`b `b UAL y `b hlshi tlfhpi fb v`bir `grfg`ci fk n`c` ft`p` cf pricunnlþk tfrhlk` slfkci lkgrfsi y` quf sf nikvlfrtf fk s`b`rlis, rfkt` cf b` tlfrr`, rfkt` cfb n`plt`b i afkfjlnlis fhprfs`rlis.

¹Fk quì nih nihpik pikfkt fktf(s f(s)) cfb ULA fsp`ði fsp`ðibb sf nik nikt`a t`alblz lblz`? `? uk nin ninmf mf pricun pricunlci lci fk @bfh`k @bfh`kl` l` y nihpr`ci pir uk niksuhlcir fk ^`kt`kcfr9 ¹\ uk` h`qulk` pricunlc` fk @bhfrè` y vfkclc` ` uk` fhprfs` O`pikfs`9  Fb ninmf `bfhàk nihpr`ci fk Fs Fsp`ð` p`ð` sf nikt`alblz` nihi lhpirt`nlþk y t`halìk sf nikt`alblz` fk fb niksuhi fsp`ðib. B` hàqulk` sf nikt`alblz` nihi fxpirt`nlþk. 6. ¹Fk quì nihpikfktf(s) cfb ULA sf nikt`alblz` b` pricunnlþk y vfkt` cf uk` n`s` kufv`9 ¹\ b` tr`ks`nnlþk cf uk` n`s` cf sfgukc` h`ki9 ¹\ b` rfkt` p`g`c` pir bis lkqulblkis9  B` vfkt` cf uk` kufv` n`s` fs uk` lkvfrslþk, b` tr`ks`nnlþk cf uk` n`s` cf sfgukc` h`ki ki fktr` fk fb ULA (ki sf pricunf k`c`) y b` rfkt` p`g`c` pir bis lkqulblkis sf nikt`alblz`c` nihi 3.

:.

niksuhi. Bis g`stis cfb gialfrki ki lknbuyfk p`gis pir tr`ksjfrfknl`s nihi b` sfgurlc`c sinl`b. Ufks`kci fk b` cfjlklnlþk cfb ULA, fxpbln` pirquf bis g`stis pir tr`ksjfrfknl`s fstàk fxnbulcis.  K`c` fs pricunlci pir hfcli cf fsis p`gis. B`s tr`ksjfrfknl`s slhpbfhfktf rfclstrlauyfk bis lkgrfsis.

 

Uriabfh`s

0. Fk uk` fnikihè`, fnikihè`, sibi sibi trfs alfkfs sik sik pricunlcis? pricunlcis? o`hþk, p`k y s`kcwlnmfs s`kcwlnmfs.. ALFKF^ O`hþk U`k

N@KSLC@C 055 (dg) 155 (dg)

UQFNLI 15 3

^`kcwlnmfs

>55 (uklc`cfs)

>

0

 

Fb o`hþk y fb p`k ki rfqulfrfk klkgÿk alfk lktfrhfcli y 05 dg. cf o`hþk y 65 dg. cf  p`k sik utlblz`cis p`r` p`r ` pricunlr s`kcwlnmfs4 fb rfsti cf bis alfkfs sik ticis pricuntis p ricuntis jlk`bfs. `) N`bnub`r fb v`bir `ð`clci fk n`c` uki cf bis trfs sfntirfs.  O`hþk? 055*1581555 055*1581555  U`k? 155*38=55 155*38=55 ^`kcwlnmfs? >55*>-05*15-65*3855*>-05*15-65*38>55 a) N`bnub`r fb v`bir cf bis pricuntis jlk`bfs fk n`c` uki cf bis trfs sfntirfs.  O`hþk? (055-05)*1580=55 (055-05)*1580=55  U`k? (155-65)*38:55 (155-65)*38:55 ^`kcwlnmfs? >55*>855 n) Nihp`r` b` rfspufst`s fk b`s prfgukt`s `) y a) y nihfkt`.  B` suh` cfb v`bir `ð`clci fs b` hlsh` quf b` suh` cfb v`bir tit`b cf bis alfkfs  jlk`bfs.  Fk nikoukti hlcfk b`s hlsh`s hlsh`s nis`s, pfri `bguk`s fktr`k fk c clstlkt`s lstlkt`s n`tfgirè`s. 1. Nikslcfr` uk` fnikihè` cikcf b` lkvfrslþk fs cfb 06%, bis g`stis cfb gialfrki sik fb 0=% y b`s tr`ksjfrfknl`s uk 05% cfb ULA y fb niksuhf uk 75% cfb ULA. ¹Nuàb fs fb  pirnfkt`of cf b`s fxpirt`nlikfs fxpir t`nlikfs kft`s (K]) fk tìrhlkis c cfb fb ULA9 \8N+L+G+K]? 055%875%+06%+0=%+K]. Uir bi t`kti, b`s fxpirt`nlikfs kft`s  sik cfb ->%. B`s tr`ksjfrfknl`s ki fktr`k fk fb ULA.

Itr`s prfgukt`s

0.

Fk b` t`ab` sf rf rfprfsf prfsfkt`k kt`k `bgukis `bgukis c`tis cf b` hlfb y b` bfnmf bfnmf.. @ ði Urfnli cf b` N`kt N`ktlc lc`c `c cf bfn bfnmf Urf Urfnli cf b` hl hlffb bfnmf 1505 1500 1501

$1 $1 $3

055 155 155

$: $: $01

N`k `kttlc lc``c cf hl hlfb fb 65 055 055

`. N`bnub` fb ULA kihlk`b, rf`b y fb cfjb`ntir cfb ULA p`r` n`c` `ði, us`kci 1505 nihi `ði a`sf.  ULA kihlk`b? 1505? 055*1+65*:8655, 1500? 155*1+055*:80555, 1501? 155*3+055*0181555  ULA rf`b? 1505?655, 1500? 155*1+055*: 8 0555, 1501? 155*1+055*:80555  Cfjb`ntir cfb ULA? 1505(655/655)*0558055, 1500(0555/0555)*0558055, 1501? (1555/0555)*0558155

1

 

a. N`bnub` fb pirnfkt`of cf n`hali cfb ULA kihlk`b, rf`b y cfb cfjb`ntir cfb ULA fk 1500 y fk 1501 nik rfspfnti `b `ði `ktfrlir. U`r` n`c` `ði, lkcln` b` v`rl`abf quf ki n`hal`. Fxpbln` nik p`b`ar`s pirquf b` rfspufst` tlfkf sfktlci.  Uirnfkt`of cf n`hali cfb ULA kihlk`b? 1500?055%, 1501?055%  Uirnfkt`of cf n`hali cfb ULA rf`b? 1500?055% (bi hlshi quf fb ULA kihlk`b, pirquf bis  prfnlis ki n`hal`rik), 1501?5% (b` nu`ktè` cf alfkfs pricunlcis ki n`halþ)  Uirnfkt`of cf n`hali cfb cfjb`ntir cfb ULA?1500?5% (bis prfnlis ki n`hal`rik) , 1501?055% (bis prfnlis sf hubtlpbln`rik pir cis) n. ¹Fb alfkfst`r fnikþhlni sf lknrfhfktþ hàs fk 1500 i fk 15019 Fxpbln`.  Fb alfkfst`r fnikþhlni nrfnlþ hàs fk 1500, y` quf sf pricuofrik hàs alfkfs quf fk `ðis `ktfrlirfs. Fk 1501 bis prfnlis n`hal`rik, pfri fb klvfb cf pricunnlþk sf h`ktuvi nikst`ktf.

1. Nikslcfr` uk` fnikihè` nik ULA80555 fk 1551, nik niksuhi prlv`ci N8655 y fxpirt`nlikfs kft`s  K]85. ^è s`afhis quf fk 155> fb niksuhi prlv`ci sf lknrfhfktþ fk uk 6% y quf b` lkvfrslþk, bis g`stis pÿablnis y b`s fxpirt`nlikfs ki n`hal`rik? `) Fb UL ULA A ssff lkn lknrf rfhf hfkt ktþ þ ffk ku uk k6 6% %  a) Fb ULA sf lknrfhfktþ fk uk 1.6% n) Fb nn`ha `hali li ffk k fb U ULA LA ki ki puf pufcf cf ssfr fr n` n`bnu bnub`c b`ci. i. c)

Fb ULA ki n`halþ.  Fb ÿklni nihpikfktf cfb ULA quf n`halþ juf fb niksuhi. Fb ULA `uhfktþ ` 0555+655*5.5680516.  Uir bi t`kti, fb ULA sf lknrfhfktþ fk uk 1.6%.

>. ¹@ quì nihpikfktfs cfb ULA `jfnt`rè`k b`s slgufktfs tr`ks`nnlikfs9 Vk` j`hlbl` nihpr` uk jrlgirèjlni kufvi.   Niksuhi a) B` tè` Ulb`r nihpr` uk` n`s` kufv`.  Lkvfrslþk n)  B` ^f`t vfkcf uk Lalz` cf su lkvfkt`rli.  @ klkguki. ^u pricunnlþk y` juf nikt`alblz`c` fk fb fb p`s`ci. c) Sÿ nihpr`s uk` plzz`. Niksuhi f) H`crlc p`vlhfkt` b` @-3. G`stis cfb gialfrki  j) Sus p`crfs nihpr`k uk` aitfbb` cf vlki jr`knìs. Niksuhi f lhpirt`nlikfs.  g) Nin` Nib` `hpbè` su pb`kt` cf pricunnlþk fk H`crlc.  B` lkvfrslþk `uhfkt` pirquf sf nikstruyfk kufv`s lkst`b`nlikfs lkst`b`nlikfs y sf nihpr` kufvi fqulpi. `)

3. Fktrf 0