Tareas de Unidad 1

 

 

PGOKDCßMFOD KJOFDKJC @G EÆXFOD. FK_PFPWPD PGOKDCßMFOD @G OJE^GOHG. FKMGKFGRÅJ FK@W_PRFJC.

Pgej F.- @fstrfbuofdkgs luk`jegktjcgs pjrj gc eugstrgd.   PJRGJ_

^RDLG_DR9 FKM. BDOD_ ^JPRßK RJEßK JMW_PÅK  WK JCWEKD G_PJ@Å_PFOJ FKLGRGKOFJC F \F? >0 @G IWKFD @G 2>2>  

 

ODE^GPGKOFJ G_^GOÅLFOJ Gsodmg gc tfpd `g eugstrgd qug odrrgspdk`g pjrj ccgvjr j ojbd uk gstu`fd gstj`åstfod fklgrgkofjc sgmùk cj vjrfjbcg `g gstu`fd `g cj oujc sg `gsgj dbsgrvjr su odepdrtjefgktd.

 

FKPRD@WOOFßK Gk gc prgsgktg trjbjids edstrjeds gc `gsjrrdccd `g cds gigrofofds odk gc usd `g uk sdltwjrg gstj`å gst j`åstf stfod, od, sg gst gstu`f u`fjrj jrjk k cjs `fs `fstrf trfbuo buofdk fdkgs gs luk luk`je `jegkt gktjcg jcgss pjrj gc eug eugst strgd rgd y sus jpcfojofdkgs.

 

  PJRGJ :9 ^RDB. 0.70, 0.7< ^JM. :8=-:88 EDKMDEGRV 70.- Cj rgsfstgkofj j cj trjoofÿk `g uk pjpgc gstj ed`gcj`j pdr ukj `fstrfbuofÿk kdrejc eg`fj ?7 cfbrjs pdr pucmj`j, y `gsvfjofÿk gstêk`jr `g 2 cfbrjs pdr pucmj`j ouj`rj`j.

0.

j) ´Ouêc gs cj prdbjbfcf`j` `g qug cj rgsfstgkofj `g ukj eugstrj sgj egkds qug

0>cb/fk24 

Fktgrprgtjofÿk9 Fktgrprgtj ofÿk9 @g oj`j :>> vgogs qug sg hjmj uk gstu`fd `g cj rgsfstgkof rgsfstgkofj j j cj trjoofÿk `g uk pjpgc, gk 66 dojsfdkgs cj rgsfstgkofj j cj trjoofÿk `g uk pjpgc sgrê egkdr j 0> cb/fk2. b) _f cjs gspgoflfojofdkgs rgqufgrgk qug cj rgsfstgkofj sgj ejydr qug ?>cb/ fk[2,

´Zuæ prdpdrofÿk `g cjs eugstrjs sgrê `gsgohj`j4

Fktgrprgtjofÿk9 cj prdpdrofÿk qug sgrê rgohjzj`j pdr kd ouepcfr cjs gspgoflfojofdkgs gs `g ojsf ogrd. 

0-7.: dkzjs `g cåquf`d. j) ´Ouêc gs cj prdbjbfcf`j` `g qug gc vdcuegk `gpdsftj`d sgj egkdr qug :2 dkzjs `g cåquf`d4 

 

  Fktgrprgtjofÿk9 `g oj`j :>> vgogs qug ukj eêqufkj `g ccgkj`d jutdeêtfod ccgkg cjs cjtjs `g bgbf`j mjsgdsj, gk ojsf ogrd dojsfdkgs gc cåquf`d qug sg suefkfstrj sgrê egkdr j :2 dkzjs.

 b) _f sg `gsgohjk td`js cjs cjtjs qug tfgkgk egkds `g :2.: d eês `g :2.< dkzjs `g cåquf`d, ´Ouêc gs cj prdpdrofÿk `g cjtjs `gsgohjs

Fktgrprgtjofÿk9 cj prdpdrofÿk qug sgrê rgohjzj`j gs `g 2.0%, d `g oj`j :>> vgogs qug cj eêqufk eêq ufkj j `g ccgk ccgkj`d j`d jutd jutdeêt eêtfod fod sue suefkf fkfstr strg g cåquf` cåquf`d d j cjs cjt cjtjs, js, 2 d ? `g gccjs gccjs sgrê sgrêk k rgohjzj`js. PJRGJ ?-:9 ^RDB. 6,:> ^JM. :7= ]GB_PGR 6.- Cj pdbcjofÿk `g efccjs rgodrrf`js pdr ojefdkgrds `g Dvgr Phg Rdj` \jk Cfkgs prgsgktj ukj eg`fj `g 8,7>> odk ukj `gsvfjofÿk gstêk`jr `g :67>. _f sg tdej ukj eugstrj `g k5:>> odk`uotdrgs, oujc gs cj prdbjbfcf`j` `g qug cj eg`fj sgj9

 

j) ´ejydr qug 86>>4 

Fktgrprgtjofdk9 `g oj`j :>> ojefdkgrds `g `g Dvgr Phg Rdj` \jk Cfkgs,0: d 02 `g gccds tgk`rêk ukj eg`fj ejydr j 86>> efccjs rgodrrf`js. b) ´Egkdr qug 8>>>4

Fktgrprgtjofdk9 9 `g oj`j :>> ojefdkg ojefdkgrds rds `g `g Dvgr Phg Rdj` \jk Cfkgs, ?6 d

0> `g gccds tgk`rêk ukj eg`fj egkdr j 8>>> efccjs rgodrrf`js.

o)

´Gktrg 82>> y 8=>>4 

 

  Fktgrprgtjofdk9 `g oj`j :>> ojefdkgrds `g `g Dvgr Phg Rdj` \jk Cfkgs, :> d :: `g gccds tgk`rêk ukj eg`fj gktrg 82>> y 8=>> efccjs rgodrrf`js.

`) ´Gktrg 8:>> y 80>>4 

Fktgrprgtjofÿk9 `g oj`j :>> ojefdkgrds `g `g Dvgr Phg Rdj` \jk Cfkgs, < d = `g gccds tgk`rêk ukj eg`fj gktrg 80>> y 80>> efccjs rgodrrf`js. :>.- Cjs cjtjs `g mjsgdsj vgk`f`js gk efkutg Ejra tfgkgk uk prdeg`fd `g :>, oujc gs cj prdbjbfcf`j` `g qug cj eg`fj sgj9

 

j) ´Egkdr qug :> cjtjs `g mjsgdsj vgk`f`js gk efkutg ejra, ::: d ::2 `g gccjs tgk`rjk suefkfstrj`d egkds `g :> cjtjs `g mjsgdsj vgk`f`js gk efkutg ejra, ::: d ::2 `g gccjs tgk`rjk suefkfstrj`d pdr cd egkds `g :7.6? dkzjs. o)

´Gktrg:7.6 y :> cjtjs `g mjsgdsj vgk`f`js gk efkutg ejra, 2< d 2= `g gccjs tgk`rjk suefkfstrj`d gktrg :7.6 y : J G@ ^RDB ::. Gk cj `fstrfbuofÿk t odk :< mrj`ds `g cfbgrtj`, gkougktrg gc êrgj, d cj prdbjbfcf`j`, `g oj`j ukj `g cjs rgmfdkgs sfmufgktgs9

j) J cj `grgohj `g 2.:2> 

Fktgrprgtjofÿk9 pjrj ukj vjrfjbcg qug sg odepdrtj oded t-stu`gkt odk :< mrj`ds `g cfbgrtj`, gspgrd qug gc 2.0% `g cds vjcdrgs sgjk ejydr j 2.:2 y gc 6=.% `g cds vjcdrgs sgjk egkdr j :.??= y gc :>% `g cds vjcdrgs sgrêk ejydr j :.??=.

o) J cj fzqufgr`j `g -:.=0<  

 

  Fktgrprgtjofÿk9 pjrj ukj vjrfjbcg qug sg odepdrtj oded t-stu`gkt odk :< mrj`ds `g cfbgrtj`, gspgrd qug gc 0.6% `g cds vjcdrgs sgjk egkdr j -:.=0< y gc 67.:% `g cds vjcdrgs sgrêk ejydr j -:.=0<

`) J cj `grgohj `g 2.78?  

Fktgrprgtjofÿk9 pjrj ukj vjrfjbcg qug sg odepdrtj oded t-stu`gkt odk :< mrj`ds `g cfbgrtj`, gspgrd qug gc :% `g cds vjcdrgs sgjk ejydr j 2.78? y gc 66% `g cds vjcdrgs sgrêk egkdrgs 2.78?

g) Gktrg -2.:2> y 2.:2> 

Fktgrprgtjofÿk9 pjrj ukj vjrfjbcg qug sg odepdrtj oded t-stu`gkt odk :< mrj`ds `g cfbgrtj`, gspgrd qug gc 67% `g cds vjcdrgs sg sg gkougktrgk gktrg - 2.:2 y 2.:2 y gc 7% `g cds vjcdrgs sgrêk egkdrgs d ejydrgs j - 2.:2 y 2.:2.

l) Gktrg -:.=0< y :.=0% `g cds vjcdrgs sg sg gkougktrgk gktrg - :.=0< y :.=0< y gc :>% `g cds vjcdrgs sgrêk egkdrgs d ejydrgs j - :.=0< y :.=0.>27 gk cj odcj supgrfdr, odk :2 mrj`ds `g cfbgrtj`

Fktgrprgtjofÿk9 pjrj ukj vjrfjbcg qug sg odepdrtj oded ukj `fstrfbuofÿk tstu`gkt odk :2 mrj`ds `g cfbgrtj`, yd gspgrd qug gc 2.7 `g cds vjcdrgs sgjk ejydrgs j 2.:=882 y gc 6=.7 `g vjcdrgs sgrêk egkdrgs j 2.:=882.

 

 

 b) Wk êrgj odk 7> mrj`ds `g cfbgrtj`

`g >.>7 gk cj odcj fklgrfdr, t `g _tu`gkt

Fktgrprgtjofÿk9 pjrj ukj vjrfjbcg qug sg odepdrtj oded ukj `fstrfbuofÿk tstu`gkt odk 7> mrj`ds `g cfbgrtj`, yd gspgrd qug gc 7% `g cds vjcdrgs sgjk egkdrgs j -:.: gk cj odcj supgrfdr, odk ?> mrj`ds `g cfbgrtj`

Fktgrprgtjofÿk9 pjrj ukj vjrfjbcg qug sg odepdrtj oded ukj `fstrfbuofÿk tstu`gkt odk ?> mrj`ds `g cfbgrtj`, yd gspgrd qug gc :% `g cds vjcdrgs sgjk ejydrgs j 2.07= y gc 66% `g vjcdrgs sgrêk egkdrgs j 2.07=.

 

`) Gktrg cds qug qug`j 6>% `gc êrgj, odk 27 mrj`ds `g cfbgrtj`

Fktgrprgtjofÿk9 pjrj ukj vjrfjbcg qug sg odepdrtj oded ukj `fstrfbuofÿk tstu`gkt odk 27 mrj`ds `g cfbgrtj`, yd gspgrd qug gc 6>% `g cds vjcdrgs sg gkougktrgk gktrg -:.=>8: y :.=>8: y gc :% `g vjcdrgs sgrêk egkdrgs d ejydrgs j -:.=>8: y :.=>8:.

g) Gktrg cds qug qug`j 67% `gc êrgj, odk 07 mrj`ds `g cfbgrtj`

 

Fktgrprgtjofÿk9 pjrj ukj vjrfjbcg qug sg odepdrtj oded ukj `fstrfbuofÿk tstu`gkt odk 07 mrj`ds `g cfbgrtj`, yd gspgrd qug gc 67% `g cds vjcdrgs sg gkougktrgk gktrg -2.>>87< y 2.>>87< y gc 7% `g vjcdrgs sgrêk egkdrgs d ejydrgs j -2.>>87< y 2.>>87< PJRGJ 7-:9 ^RDB.:?,:< ^JM. : ]GB_PGR

:?. Wkj gkougstj `g dpfkfÿk j :>>> rgsf`gktgs `g ukj ofu`j` mrjk`g fkvgstfmj sf sg gstê j ljvdr `g uk jczj `g fepugstds pjrj pjmjr uk kugvd gstj`fd `gpdrtfvd. _f eês `gc 87% jpdyj gc fepugstd sg prgsgktjrê uk rglrgk`d gk cjs sfmufgktgs gcgoofdkgs gk cj ouf`j`. _f cj prdpdrofÿk pdbcjofdkjc `g td`ds cds rgsf`gktgs qug gstæk j ljvdr `gc fepugstd gs  p5>.82 d sgj 82%  ´Ouêc gs cj prdbjbfcf`j` `g qug sg fkocuyjk gk cj sfmufgktg vdtjofÿk4

@jtds. k5:>> p5>.82 5 82% q 5 :-p 5 : ‟ >.82 5 >.:8 5 :8%

>.=<

>.=8

>.8

X9 >.87>.82

>.80

>.8<

>.88

 

Fktrgrprgtjofdk9 pjrj cj prdrprdrofdk qug sg odepdrtj oded ukj `fstrfbuofdk kdrecj, sg gspgrj qug gc jczj `gc fepugstd sgj juegktj`d odk ojsf kucd cj prdbjbfcf`j`.

 

:> ocfgktgs,

@jtds. k5:>> p5>.27 5 27% q 5 :-p 5 : ‟ >.27 5 >.=7 5 =7% 5

kp5 :>>(>.27) 5 27

X9 >.2

 

´Ouêc gs cj prdbjbfcf`j` `g qug egkds `gc 2>% ccgvgk su odef`j j ojsj4  

Fktgrprgtjofdk9 pjrj ukj prdpdrofdk qug sg odepdrtj oded ukj `fstrfbuofdk kdrejc, gc :2% `g prdbjbfcf`j` qug egkds `g gc 2>% `g cds ocfgktgs sg ccgvgk su odef`j j ojsj y gc 88% sg qug`jrjk j odegr gk gc gstjbcgofefgktd. PJRGJ j G@ ^RDB. Gk cj tjbcj ::.: d gk cj tjbcj ? `gc jpæk`fog B gkougktrg cds vjcdrgs sfmufgktgs `g cj `fstrfbuofÿk ohf-ouj`rj`j.

j) X2>.>7, mc 5 7 Mrêlfoj `g `fstrfbuofÿk `fstrfbuofÿk Ohf-ouj`rj`j, `l57 >.:< >.:0 >.:2       `>.:>     j       `       f     s     k>.>8     g       @ >.><

>.>0 >.>2

>.>7 >.>>

>

::.>=

X

 

Fktgrprgtjofÿk9 pjrj ukj vjrfjbcg qug sg odepdrtj oded cj `fstrfbuofÿk ohf-ouj`rj`j odk 7 mrj`ds `g cfbgrtj`, yd gspgrd qug gc 7% `g cds vjcdrgs sgjk ejydrgs j ::.>= y gc 67% `g cds vjcdrgs sgrêk egkdrgs j ::.>=.

 b) X2>.>27, m c 5 :7 Mrêlfoj `g `fstrfbuofÿk Ohf-ouj`rj`j, `l5:7 >.>8

>.>= >.><

      `>.>7     j       `       f     s     k>.>0     g       @ >.>? >.>2 >.>:

>.>27 >.>>

>

2=.06

X

Fktgrprgtjofÿk9 pjrj ukj vjrfjbcg qug sg odepdrtj oded cj `fstrfbuofÿk ohf-ouj`rj`j odk :7 mrj`ds `g cfbgrtj`, yd gspgrd qug gc 2.7% `g cds vjcdrgs sgjk ejydrgs j 2=.06 y gc 6=.7% `g cds vjcdrgs sgrêk egkdrgs j 2=.06.

o) X2>.6=7, mc 5 2> Mrêlfoj `g `fstrfbuofÿk Ohf-ouj`rj`j, `l52> >.>=

>.><

>.>7       `     j       `>.>0       f     s     k     g >.>?       @

>.6=7>

>.>2

>.>:

>.>>

>

6.76:

X

 

Fktgrprgtjofÿk9 pjrj ukj vjrfjbcg qug sg odepdrtj oded cj `fstrfbuofÿk ohf-ouj`rj`j odk 2> mrj`ds `g cfbgrtj`, yd gspgrd qug gc 6=.7% `g cds vjcdrgs sgjk ejydrgs j 6.76: y gc 2.7% `g cds vjcdrgs sgrêk egkdrgs j 6.76:.

 

`) X2>.>:, mc  5  5 :> Mrêlfoj `g `fstrfbuofÿk `fstrfbuofÿk Ohf-ouj`rj`j, `l5:> >.:>

>.>8

      `>.><     j       `       f     s     k     g       @ >.>0

>.>2

>.>:>>> >.>>

>

2?.2>6

X

Fktgrprgtjofÿk9 pjrj ukj vjrfjbcg qug sg odepdrtj oded cj `fstrfbuofÿk ohf-ouj`rj`j odk :> mrj`ds `g cfbgrtj`, yd gspgrd qug gc : % `g cds vjcdrgs sgjk ejydrgs j 2?.2>6 y gc 66% `g cds vjcdrgs sgrêk egkdrgs j 2?.2>6. 

 

 

 5 :8 g) X2>.67, mc  5 Mrêlfoj `g `fstrfbuofÿk Ohf-ouj`rj`j, `l5:8 >.>=

>.><

>.>7       `     j       `>.>0       f     s     k     g       @ >.>?

>.67>>

>.>2

>.>:

>.>>

>

6.?6

X

Fktgrprgtjofÿk9 pjrj ukj vjrfjbcg qug sg odepdrtj oded cj `fstrfbuofÿk ohf-ouj`rj`j odk :8 mrj`ds `g cfbgrtj`, yd gspgrd qug gc 67 % `g cds vjcdrgs sgjk ejydrgs j 6.?6 y gc 7% `g cds vjcdrgs sgrêk egkdrgs j 6.?6. 

PJRGJ =-:9 ^RDB.:? ^JM. 07> JK@GR_DK :>j G@ ^RDB. :?. Gk cj tjbcj 0 `gc jpæk`fog B hjccg cds vjcdrgs sfmufgktgs `g cj `fstrfbuofÿk L.

j) L >.>7 >.>7 odk 7 y :> mrj`ds `g cfbgrtj`

>

:

2

X9 ?.??

?

0

7

 

Fktgrprgtjofdk9 pjrj ukj vjrfjbcg qug sg odepdrtj oded cj `fstrfbuofdk L odk 7 y :> `g cfbgrt`j, sg gspgrj qug gc 7% `g cds vjcdrgs sgrjk ejydr j ?.?? y gc 67% `g cds vjcdrgs sgrjk egkdrgs j ?.??.

 

b) L >.>27 >.>27 odk 2> y :7 mrj`ds `g cfbgrtj`

 

X9 2.=<

Fktgrprgtjofÿk9 pjrj ukj vjrfjbcg qug sg odepdrtj oded cj `fstrfbuofÿk L odk 2> y :7 `g cfbgrtj`, sg gspgrj qug gc 2.7% `g cds vjcdrgs sgrêk ejydr j 2.=< y gc 6=.7% `g cds vjcdrgs sgrêk egkdrgs j 2.=.>: >.>: odk 8 y :2 mrj`ds `g cfbgrtj`

X9 0.7

 

Fktgrprgtjofÿk9 pjrj ukj vjrfjbcg qug sg odepdrtj oded cj `fstrfbuofÿk L odk 8 y :2 `g cfbgrtj`, sg gspgrj qug gc :% `g cds vjcdrgs sgrêk ejydr j 0.7 y gc 66% `g cds vjcdrgs sgrêk egkdrgs j 0.7.

`) L >.:> >.:> odk :> y 2> mrj`ds `g cfbgrtj`*p L (rjzÿk `g vjrfjkzjs)

 

Fktgrprgtjofÿk9 pjrj ukj vjrfjbcg qug sg odepdrtj oded cj `fstrfbuofÿk L odk :> y 2> `g cfbgrtj`, sg gspgrj qug gc :>% `g cds vjcdrgs sgrêk ejydr j :.60 y gc 6>% `g cds vjcdrgs sgrêk egkdrgs j :.60.

BFBCFDMRJLÅJ -

@umcjs O. Edtmdbgry y Mdrog O. Rukmgr. ^rdbjbfcf`j` y gstj`åstfoj jpcfoj`js j cj

-

fkmgkfgråj(:¾.g`) EOMRJ]-HFCC / FKPGRJEGRFOJKJ @G EGXFOD http9//www.lugktgrrgbdccd.ode/Jgrdkjutfoj2>: