Ejercicio DJ
August 8, 2022 | Author: Anonymous | Category: N/A
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[d bdvkrsbl bdvkrsbldbst dbstff kstæ jldsb`krfd jldsb`krfd`l `l of jlgprf jlgprf `k ud k`bebjb k`bebjbl l `k `kpfrtfg `kpfrtfgkdtl kdtlss `k frrbkd`l f of`l `k of [dbvkrsb`f` Jkdtrfo `ko Kjuf`lr quk sk lerkjk kd vkdtf plr $ 29999, `knb`l f su prlxbgb`f` f udf udbvkrsb`f` oljfo, sk kspkrf quk ko k`bebjbl kstâ sbkgprk ljupf`l. Ols bdhrksls fdufoks sk kstbgfd kd $ 69=99 y ols khrksls plr gfdtkdbgbkdtl gfdtkdb gbkdtl sk kstbgfd kd $ >;991 ko bdvkrsbldbstf kstbgf quk of prlpbk`f` sk puk`k vkd`kr kd $ 5;999 fo ebdfo `k 69 föls. Zk tbkdk ud jfpbtfo sljbfo `k $ >9999, y ko rkstl ol lntkd`ræ `k `ls Eukdtks `k ebdfdjbfgbkdtl, ebdfdjbfgbkdtl, ud prâstfgl `ko Nfdjl Jfpbtfo plr $ 09999 y ud prâstfgl fo Nfdjl Bdtkrfgkrbjfdl plr $ :9999. @ktkrgbdk sb ko bdvkrsbldbstf `knk pfhfr $ 29999 299 99 plr of prlpbk`f`. pr lpbk`f`. @ktkrgbdk tfgnbâd of PB^ pfrf of jufo ko k o bdvkrsbldbstf bdvk rsbldbstf munbkrf pfhf`l ols $ 29999 plr of prlpbk`f` y fsç rkjupkrfr su bdvkrsbúd bdbjbfo.
Pkdkgls kd of hræebjf ko eoucl `k jfcf dktl `k jf`f pkrbl`l ks `k $=:99 (Ko eoucl `k jfcf dktl dl ks gæs quk of `bekrkdjbf `k ols bdhrksls gkdls ols khrksls, ks `kjbr ols bdhrksls quk sk kstbgfd `k 69=99 fdufoks gkdls ols khrksls plr gfdtkdbgbkdtl quk ks `k $>;99, fo mf mfjk jkrr ks kstf tf `b `bek ekrk rkdj djbf bf tkdk tkdkgl glss ko eouc eoucl l Dktl Dktl `k jfcf jfcf `k $= $=:9 :99) 9) pf pfrf rf ol ju jufo fo dkjksbtfgls dkjksbtf gls ookvfrols f jf`f udl `k kstls eoucls dktls `k jfcf f vfolr fjtufo f trfvâs `k `bvb`brols pfrf of Pfsf `k jlstl `k jfpbtfo prlgk`bl pld`krf`l. JJY JYY Y7 Jl Jlst stl l `k jfpb fpbtfo pr prlg lgk` k`bbl pld pld`k `krf rf`l `l Efjnbob`f` `ko prlykjtl (Eukdtks `k efdjbfgbkdtl) Jfpbtfo Zljbfo3 Zljbfo3 Ufolr l jlstl quk jlgl bdvkrsbldbstf quk sk pldk Eukdtks `k edfdjbfgbkdtl $ Jfpbtfo Zljbfo3 $ Yrkstfgl Nfdjl Jfpbtfo3 Yrkstfgl Nfdjl Bdtkrfgkrbjfdl3 $ Ƣ $
Ufolr >9 999.99 09 999.99 :9 999.99 29 999.99
b (fdufo) >>.>>% 00.00% ::.::%
Pfsf Dlgbdfo 5.9% 2.9% =.9%
J J YY 6.:::% 0.999% >.558% =.999%
b3 plrjkdtfck fdufo plr jf`f vfolr `k ebdfdjbfgbkdtl
b7
Ufolr EE d ∘699 Ufol folrr `k EE
∖
@ld`k3 Ufolr EEd3 Ufolr `k eukdtk `k ebdfdjbfgbkdtl
∖ Ufolr `k EE 3 Zugftlrbf `k tl`ls ols vfolrks `k eukdtks `k ebdfdjbfgbkdtl
Ufolr EE 6
b 67
∘699 U folr `k EE ∖
b 67
>9999 29999
∘699
b 6 7>>, >>,>> >> % Ufolr EE > Ufolr `k EE ∘699
b >7
∖
b >7
09999 29999
∘699
b > 700 , 00 % b :7
b :7
Ufolr EE :
∘699
folr `k EE ∖ Ufolr :9999 29999
∘699
b : 7::, ::,:: :: % Jfojuol `ko jlstl `k jfpbtfo prlgk`bl pld`krf`l (JJYY)
JJYYd7b∘ Pfsfdlgbdf fsfdlgbdfoo l `klplr `k lplrtudb tudb`f` `f` JJYY 67>> >>,>>% ,>>% ∘5 % JJYY 67¼6.::% JJYY >7 00 00,00% ,00%∘2 % JJYY >7¼ 0,99%
JJYY :7:: ::,::% ,::% ∘ = % JJYY :7¼ >.58%
UF3 Ufolr fjtufo `k of fdufob`f` vkdjb`f Of bdvkrsbúd sk rkjupkrf jufd`l3 Ko UFD79, ks `kjbr ko PB^ Kdtldjks tkdkgls quk ko UFD ks bhufo f of sugftlrbf `k ols eoucls dktls `k jfcf `k jf`f pkrbl`l `bvb`b`l pfrf (6 + of tfsf `k rkdtfnbob`f` kspkrf`f) kokvf`f fo pkrbl`l jlrrkspld`bkdtk (a 7 g*d, slol ks ud jfgnbl `k vfrbfnok, ko sbhdl dkhftbvl ks pfrf ookvfrol fo vfolr fjtufo).
Bhufofgls ko UFD f jkrl d
9 7∞ Bdvkrsbú Bdvkrsbúd d Bdbjbfo +∖ UF b b7 6
BB3 bdvkrsbúd bdbjbfo 9 7∞ BB + UF 6 + UF > + UF : + UF 0 + UF ;+ UF 5 + UF 8 + UF = + UF 2 + UF 69
Pkdkgls quk ko vfolr fjtufo ks bhufo fo gldtl l ucl dktl `k jfcf `bvb`b`l pfrf (6+ of ko vfolr `k jlstl `k jfpbtfo pld`krf`l) kokvf`l pfrf ko dugkrl `k pkrbl`ls f ols jufoks sk ols qubkrk ookvfr fo vfolr fjtufo. 9 7∞ BB +
G 6
(6 + b )
+ 6
G >
( 6 +b )
+ >
G :
( 6+ b )
+ :
G 0
( 6 +b )
+ 0
G ;
(6 + b )
+ ;
G 5
( 6 +b )
+ 5
G 8
( 6 +b )
+ 8
G =
( 6+ b )
+ =
G 2
(6 + b )
+ 2
G 69
( 6 + b )69
@kspkcfgls of bdvkrsbúd bdbjbfo, ^kgpofzf @kspkcfgls ^kgpofzfgls gls ols vfolrks y rkslo rkslovkgls vkgls of kjufjbúd, kjufjbúd, jld ol jufo dls `f udf bdvkrsbúd bdbjbfo `k $=;=96.>;.
BB 7
=:99
(
6+
= 699
+
) ( 6
=:99 6+
= 699
+
) ( >
=:99 6+
= 699
+
) ( :
=:99 6+
= 699
+
) ( 0
=:99 6+
= 699
+
) ( ;
=:99 6+
= 699
+
) ( 5
=:99 6+
= 699
+
=:99
) ( 8
BB 7 $ =;=96.>; Elrguof `ko `k fdufob`f` jbkrtf y vkdjb`f, g*d 7d7föls769 y g 76>/6>76 Fquç tkdkgls of tfnof `ko prljksl `k júgl j úgl sk `bkrld ols ucls `k `bdkrl Pkdkgls kd of prbgkrf jlougdf ko föl l pkrbl`l, kd of skhud`f jlougdf ols `kskgnlosls quk sk mfd `f`l `urfdtk jf`f pkrbl`l, kd ko pkrbl`l jkrl tkdkgls quk ks jufd`l kgpbkzf ko prlykjtl y tkdkgls ud `kskgnlosl `k of bdvkrsbúd bdbjbfo quk dl jldljkgls, kd ols pkrbl`ls rkstfd rks tfdtks tks tkdkgl tkdkglss ols khrksl khrkslss plr ko gfdtkd gfdtkdbgb bgbkdt kdtl l ks ksgf gf`l `l `ko k`bejbl k`bejbl,, kd of tkrjkr tkrjkr jlougdfs kstæd ols bdhrksls quk dls hkdkrfr ko k`bejbl, kd of jufrtf jlougdf tkdkgls ko ucl `k jfcf quk jlgl yf sk gkdjbldl ks of `bkrkdjbf `k ols bdhrksl gkdls ols khrksls, kd ko pkrbl`l pkrb l`l 69 sk kdk ud bdhrksl `k 8;=99 8;=99 quk quk ks of sugf `k bdhrksl quk gk hkdkrf ko k`bejbl gæs ko bdhrksl plr of vkdtf `ko gbsgl fo edfobzfr ko `âjbgl pkrbl`l. R kd of óogf jlougdf tkdkgls ko vfolr fjtufo, quk ks ko ucl `k jfcf dktl trfç`l ookvf`l fo bdbjbl `k of lpkrfjbúd edfdjbkrf f trfvâs `k udf tfsf bdtkrdf `k rktlrdl y fo sugfr tl`ls kstls vfolrks fjtufoks `k jf`f pkrbl`l lntkdkgls of bdvkrsbúd bdbjbfo.
6+
= 699
+
=:9
) (+ =
6
6
Ykrçl`l 9 6 > : 0 ; 5 8 = 2 69
@kskgnlosls
Bdhrksl s
Eoucl ` k jfcf
Efjtlr `k `ksjukdtl
U Fjtufo
x >;99
69=99
=:99
9.2>;2>5
85=;.62
>;99
69=99
=:99
9.=;8::2
866;.26
>;99
69=99
=:99
9.82:=:>
5;==.=6
>;99
69=99
=:99
9.8:;9:9
5699.8;
>;99
69=99
=:99
9.5=9;=:
;50=.=0
>;99
69=99
=:99
9.5:9689
;>:9.06
>;99
69=99
=:99
9.;=:029
0=0>.28
>;99
69=99
=:99
9.;09>52
00=0.>:
>;99
69=99
=:99
9.;99>02
06;>.98
>;99
8;=99
8::99
9.05:62:
::2;>. 9=
Ufolr Fjtufo Dktl (UFD)3 $
=; =96.>;
Jldjousbúd3 Dl
`knk pfhfr $ 29.999,991 ko vfolr Gæxbgl f pfhfr `knk skr $ =; =96,>; pfrf quk f ols 69 föls rkjupkrk rkj upkrk ko bdvkrsbldbstf ko `bdkrl bdvkrtb`l. Jæojuol `ko PB^ PB^3 Ks of tfsf bdtkrâs pfrf of jufo ko UFD ks jkrl. Pkdkgls ko prbgkr gâtl`l pfrf mfoofr of tfsf bdtkrdf `k rktlrdl kd ko jufo ko bdvkrsbldbstf munbkrf pfhf`l ols 29999 `úofrks pkrl sbd lntkdkr hfdfdjbfs fo edfobzfr ko pkrbl`l, slol rkjupkrfr ol bdvkr`l.
6kr Gâtl`l (^kslovkr Kjufjbúd) Kd ko prbgkr prbgkr gâtl` gâtl`l l tkdkgl tkdkglss of gbsgf gbsgf úrguo úrguof f fdtkrb fdtkrblr lr pkrl pkrl kstf kstf vkz tkdkgls tkdkgls jlgl jlgl bdjúhdbtf ko PB^, kd kstk gâtl`l jlgl dl sk puk`k `kspkcfr of tfsf bdtkrdf `k rktlrdl slol sk rksukovk kd of jfojuof`lrf. Jld kstl tkdkgls udf tfsf bdtkrdf `k rktlrdl `k 8.>:% d
9 7∞ Bdvkrsbú Bdvkrsbúd d Bdbjbfo +∖ UF b b7 6
9 7∞29999 +
+ =:99> + =:99: + =:990 + =:99; + =:995 + =:998 + =:99= + =:992 + 8::9969 ( 6 + b ) ( 6 + b ) ( 6 + b ) ( 6+ b ) ( 6 + b ) ( 6+ b ) ( 6 + b ) ( 6 + b ) ( 6 + b ) ( 6+ b)
=:99
6
PB^ 78.>:% 8.>:% >`l Gâtl`l (Kxtrfplofjbúd) Kd ko skhud`l gâtl`l mfoofgls `ls UFD udf jld sbhdl plsbvl y ltrf jld sbhdl d dkhfvl khfvl y ol gæs jkrjfdfs f jkrl. Jlgl yf tkdçfgls ko UFD jld udf tfsf `k rktlrdl `ko =% y dls `bl ud Ufd dkhfvl fmlrf mfoofgls ko vfd jld udf tfsf `k rktlrdl gkdlr pfrf lntkdkr ud UFD plsbvl, tkdbkd`l kstls vfolrks slol dls quk`f bdtkrplofr y lntkdkr ko vfolr pfrf ko jufo ko UFD ks jkrl.
Yk krrçl ` `l l 9 6 > : 0 ; 5 8 = 2 69
@ksk kskg nl nl os osl s
Bd dh h rks rksl ls
Eou cl cl `k `k jjf f cf cf U F Fjj ttu u fo fo =% U F Fjj ttu u fo fo 8 %
29999
>;99
69=99
-29999
- 29999
-29999
=:99
85=;.62
88;8. 96
>;99
69=99
=:99
866;.26
8>02. ;0
>;99
69=99
=:99
5;==.=6
588;. >8
>;99
69=99
=:99
5699.8;
5::>. 9:
>;99
69=99
=:99
;50=.=0
;268. 82
>;99
69=99
=:99
;>:9.06
;;:9. 50
>;99
69=99
=:99
0=0>.28
;65=. =>
>;99
69=99
=:99
00=0.>:
0=:9. 5=
>;99
69=99
=:99
06;>.98
0;60. 5;
>;99
8;=99
8::99
::2;>.9=
:8>5>.99
Ufolr Fjtufo Dktl (UFD)3 $ -0,62=.8; $ 6,::=.0:
%
UFD
=
$
-0 62=.8;
8
$
9 6 ::=.0:
9 ∞6::=.0:
PB^
PB^ 78 +
∞062=.8;∞6::=.0:
∘( =∞ 8 )
PB^ 78.>0% Jld kstl tkdkgls ud PB^ `k 8.>0% :kr Gâtl`l (Kxjko) 8.>:% >:% PB^ 78.
Of tfsf bdtkrdf `k rktlrdl pfrf of jufo ko bdvkrsbldbstf rkjupkrfrçf su bdvkrsbúd bdbjbfo ks udf PB^ `k 8.>: %, fud fsç slol sk rkjupkrfrçf of bdvkrsbúd bdbjbfo gfs dl sk lntkd`ræd hfdfdjbfs, plr ol quk sk puk`k jldjoubr quk ks ud gfo dkhljbl f`qubrbr ko k`bejbl plr $ 29999.
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