Ejercicios Matematicas
December 15, 2022 | Author: Anonymous | Category: N/A
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1)
@a scgera e`fcme se`khkta ug prcstafe per $3,8>>, para `a hefpra mc ug rcdrkbcramer y ahucrma pabar ug teta` mc $4:; per heghcpte mc kgtcrcscs. Quc fegte mcicra pabar a` tcrfkge mc` p`aze cstai`chkme5 ^6 K6 F6
3,8>> 4:;
3,;:;
F6^+K F 6 38>>+4:; F6 3,;:; Fegte a pabar 8)
Xupegba quc ustcm rchkike ug prcstafe y a` ga` mc = fcscs mcic pabar ug fegte mc $1;,4>>. Xk c` kgtcrcs duc mc $1,9>> quc hapkta` `c prcstareg F6 K6 ^6
1;,4>> 1,9>>
1:,=>>
^6F-K ^ 6 1;4>>-19>> ^6 1:,=>> 3)
A`degs A`degse e hegs hegskbu kbucc ug ug prc prcst staf afe e per per $19>, $19>,>> >>> > a ug age y fcmk fcmke e mc mc p`a p`aze, ze, heg uga tasa tasa mc kgtcrcs skfp`c mc` 9.83% fcgsua` a) Xk c` kgtcrcs kgtcrcs mcvcgbame sc paba a` ga` mc hama fcs, huag huagte te mcicra pabar5 K6 ^ * t * k K6 19>>> * 1 * >.>983 K6
9,:9>
i) Xk c` kgtcrcs kgtcrcs mcvcgbame sc paba a` ga` mc` p`aze cstai`chkme, huagte huagte mcicra pabar cg teta` per heghcpte mc kgtcrcscs5 K6 ^ * t * k K6 19>>> * 1: * >.>983 K6
^ t k 2)
3>,24>
19>,>>> 1: fcscs 9.83 %
Eitcgba c` kgtcrcs skfp`c quc premuhc ug hapkta` mc $3,>>> cg 1> fcscs a` 9.3% ikfcgsua` K6 ^ * t * k K6 3>>> * 1> * >.>193 K6 493
;)
Eitcgba c` va`er duture mc $1>,>>> a` 1.41% qukghcga`cs cg 11 fcscs K6 ^ * t * k K6 1>,>>> * 11 * >.>899
K6 8,3=9 F6 ^+K F 6 1>>>>+83=9 F6 18,3=9 11)
Sg cfp`came eicgc ug prcstafe mc su cfprcsa per $;2,>>>, para `a hefpra mc ug aute usame y ahcpta `kqukmar c` prcstafe trcs ages mcspucs. Cxkstc c` ahucrme quc fkcgtras cxksta `a mcuma, c` cfp`came pabara kgtcrcscs fcgsua`cs a razeg mc` 1:% agua`. Huagte mcicra pabar mc kgtcrcscs hama fcs5 K6 ^ * t * k
K 6 1:/19
K6 ;2 ;2,>>> * 1 * >.>13
K 6 1.3
K6
18)
1,=33
Yuicg hefpra a hrcmkte uga cstuda quc cgc ug prchke mc hegtame mc $ =,243. Qucma mc ahucrme cs mar ug cgbaghjc mc` 13% y ug pabe ga` 9 fcscs fas tarmc. Xk ahcpta pabar uga tasa mc kgtcrcs mc` =:% seirc c` sa`me Huagte mcicra pabar mcgtre mc 9 fcscs5 ^h cgbaghjc ^6 ^6
=243 13% ^h-cgbaghjc
t6 21=.23
=>3>.93
9 fcscs
F6
=82=.92
k6
=:
F6
^(1+kt)
F6
=>3>.93(1+>.>=(9))
F6
13)
=:/19 6 =
=82=.92
Sga pcrsega eicgc $8,>>> hama trkfcstrc per heghcpte mc kgtcrc kgtcrcscs scs mc uga kgvcrskeg a` 1>% Quc hapkta` cgc kgvcrme csta pcrsega K6 8>>> x = K6 19,>>> ^6 kxK K6 1>% ^6 19>,>>> Hapkta` kgvcrme
12)
C` kgtcrcs bagame per ug prcstafe mc :>> me`arcs, cg ug p`aze mc 3 fcscs, duc mc $ 9> Ha`hu`c `a tasa mc kgtcrcs aggua`
k6 k6 k6
1;)
K p(t) 9> :>>(3) 4%
@a tasa mc kgtcrcs aggua`
Sg hapkta` kgvcrme a kgtcrcs skfp`c sc trkp`khe a` haie mc : ages Quc tasa mc kgtcrcs agua` bage ^6x F68x t6:
k6
F ^ t
-1
k6
8x Z :
-1
k6
"8-1
k693%
: k6 91)
93%
Sga cfprcsa hegtrate mc hrcmkte per $1,>>>,>>> a pabar mcgtre mc ug age Xk c` fegte duc mc $1,12>,>>>, hua` duc `a tasa mc kgtcrcs aggua` ^61,12>,>>> F61,>>>,>>>
F k6
t61
^
-1
t
k612% 1,>>>,>>> k6
1,12>,>>>
-1
1 k6 "1,>>>,>>>-1,12>,>>> 1 k6 98)
12%
tasa mc kgtcrcs aggua`
Xk `a tasa mc kgtcrcs skfp`c cs uga hucgta mc ajerres cs mc $8.=% agua` cg huagte cfpe sc mup`kha ug hapkta` ^6x F69x k68.=% agua`
t6
F ^ k
-1
t69; ages = fcscs 9x t6
Z >.>8=
-1
t6
"9-1 >.>8=
t6
93)
^atrkhka mcsca kgvcrr 9>,>>> me`arcs cg mes iaghes, mc fagcra quc sus kgbrcses teta`cs per heghcpte mc kgtcrcscs scag mc 19> me`arcs a` fcs. Sg iaghe paba 2.89% aggua` y c` etre edrchc 9.89% huatrkfcstra` Huagte mcic kgvcrr cg hama iaghe5 ^t6 K6
9>,>>> 19>
t₁6 t₉6
92)
9;.=1
2.89% aggua` 9.89% huatrkfcstra`
Xk`vka pescc ug hapkta` quc kgvcrme a` 11% `c premuhc ug kgtcrcs fcgsua` mc $2;2.3>, Xk sc aufcgte a` 19% `a tasa mc kgtcrcs, quc hagmam mcic rcrar mc` hapkta` para scbukr heiragme c` fksfe kgtcrcs fcgsua`5 11% K
^6
^6
kt ^6
kt
2;2.3
^6
>.11(1)
^6
2,93>
^₁6 ^₉6
2,93> 4,4=4
19% K
4>= Hapkta` a rcrar
2;2.3 >.19(1)
^6
4,4=4
9)
Eitcgba c` kgtcrcs skfp`c ermkgarke y cxahte mc 12,>>> me`arcs, mc` = mc cgcre a` 91 mc abeste mc ug añe ikskcste. @a tasa mc kgtcrcs cs mc` 3.23% agua`
=)
cgc
92
dci
9;
K6 ^kt
far
81
K6 12>>>(>.>323/844)(98>)
air
8>
K6
fay
81
lug lu`
8> 81
abe
91 98>
lug lu`
14 81 =2
41=.9:
Cghucgtrc c` va`er prcscgtc mc 18,>>> me`arcs u`kzagme u`kzagm e uga tasa mc kg kgtcrcs tcrcs mc` >.3% fcgsua`, gucvc fcscs agtcs mc` vcghkfkcgte. Kgtcrprctc c` rcsu`tame
T^6
T^6
F 1+kt 18,>>> 1+(>.3)(;)
T^619,==>.1;
19,==>.1; cs c` va`er prcscgtc e hapkta` h apkta` mc $18,>>>. Cste skbgkha quc sk kgvcrfes jey $19,==>.1;,, muragtc ; fcscs a` >.3%, sc hegvcrrag cg 18,>>>.>> $19,==>.1; ]afikëg pemcfes mchkr quc $19,==>.1; seg cqukva`cgtcs a $18,>>> sk c` cfpe mc mc kgvcrskeg cs mc ; fcscs y `a tasa mc kgtcrës cs mc` >.3% 4)
C` 1 14 4m mcc Lugke Lugke mc 9 9>> >>2 2 sc rf rfe eu ug gp paba abarc rc heg heg vcghkf vcghkfkcg kcgte te a` a` 8 81 1 mc mc lu`ke lu`ke mc` fksfe fksfe aañe ñe Xk c` va`er mc vcghkfkcgte cs mc 39,243 y `a tasa mc kgtcrcs sc pahta a` 9.923% fcgsua` eitcgba a) C` hapkta` prcstame 31,>98.:1 i) va`e va`err prc prcsc scgt gtcc a` a` 1> 1> mc mc lu` lu`ke ke mc 9>>2 9>>2 31,: 31,:91 91.: .:= = a)
T^6
T^6
F 1+kt 39,243
1.342
1+(9.923)(1.3)
T^6 i)
T^6
T^6
31,>98.:1 F 1+kt 39,243 1+(9.923)(>.;)
T^6
31,:91.:=
lug lu`
14 1> 94 >.;
:)
C` 2 mc Dci Dcirc rcre re,, Arfa Arfagme gme kgv kgvkr kre e 94,4 94,4>> >> cg cg u ug g paba pabarc rc hheg eg Ycgmkf Ycgmkfkcg kcgte te @@kqu kqukma kmai`c i`c a` vcghkfkcgte, bagagme ug kgtcrcs mc` :.11% Hua` scra c` fegte para c` 2 mc farze, dchja mc vcghkfkcgte mc `a kgvcrskeg TD6 ^1+kt TD6 94,4>>(1+>.>:11*1) TD69:,232.94
1>)
Sga cfprcsa mcsca mcpesktar @ps.;23, >>>.>> a uga p`aze mc 1:9 mæas y mcicrá mchkmkr sk Mcpeskta c` mkgcre cg c` Iaghe A quc paba 1>.82% mc kgtcrës kgtcrës hefcrhka`, e cg c` Iaghe I quc paba 1>.:8% mc kgtcrës cxahte. µQuë iaghe hegvkcgc c`cbkr5 TD6 ^1+kt
TD6 ^1+kt
TD6 ;23,>>>(1+(>.1>82/19))*(1:9/8>)
TD6 ;23,>>>(1+(>.1>:8/19))*(1:9/8>)
TD6
TD6
###
1,>9:,=19.91
Heg rcspchte a` clcrhkhke agtcrker, µquë tasa mc kgtcrës mcicræa pabar c` Iaghe A para quc Xca kgmksgte kgvcrr cg uge u etre iaghe5 Fayer a >.;>% fcgsua`.
19)
va`er mc vcghkfkcgte vcghkfkcgte mc` skbukcgtc pabarc.4> Stk`kzagme c` age gatura`, eitcgba c` va`er Tkskøg per hai`c, Mcicfes y y pabarcfes kghegmkhkega`fcgtc per cstc pabarc a `a ermcg mc Tkskøg X.A. cg Fëxkhe, M.D. c` mæa >: mc dcircre mc 9>11. @a hagtkmam mc/1>> fegcma gahkega` Ta`er rchkikme a fk cgtcra satksdahhkøg. @a sufa agtcrker hausara kgtcrcscs a `a tasa mc 9:% agua` jasta `a dchja mc su vcghkfkcgte, vcghkfkcgte, y y sk ge cs pabama a` vcghkfkcgte vcghkfkcgte hausara uga tasa mc kgtcrës feraterke mc 8;.9% agua`.
gev mkh
@ercga @cc. F6 ^(1+kt) F6 14418>.4>(1+>.9:/843*;9) F6
cgc dci
122,:33.89
vcghkfkcgte Xk c` pabarc mc` clcrhkhke agtcrker sc `kqukmø 99 mæas mcspuës mc `a dchja mc vcghkfkcgte ha`hu`c c` kgtcrcs feraterke ask hefe `a hagtkmam teta` a pabar. Stk`khc c` age gatura` Kgtcrcscs Feraterkes F6 14418>.4>(>.8;9/843*99)
F6
8,;93.98
1:1,2:>.34
99 81
81
:
;9
1=)
C` @kh. ]erkike ]ragza ahcptø ug pabarë mc ug h`kcgtc quc ge pume huirkr sus jegerarkes jegerarke s A` vcghkfkcgte mc` pabarë, c` aiebame rchkikrá 1==,2:> µHuá` cra c` kfpertc k fpertc mc sus jegerarkes sk c` p`aze mc` mehufcgte duc mc 8 fcscs y `a tasa mc kgtcrës mc` 1>:%5
T^6
F 1+kt
T^6
1==,2:> 1+(1.>:/19)(8)
T^611=,>>>.>>
14)
Sg pabarë per @ps.1, @ps.1, 38=.>> sc `kqukmø mcspuës mc 83 mæas fcmkagtc ug hjcquc per @ps.1, 4>8.;: µHuá` duc `a tasa mc kgtcrës agua`5 S`khc c` añe gatura`.
K6 K₉-K₁/K₁t K6 (1,4>8.;:-1,38=)/(1,38=*(83/843)) K6
1:)
=:%
Agmrca kgvkrø @ps.893, >>>.>> >>>.>> cg ug Degme mc Kgvcrskøg a p`aze mc 9: mæas. Xk a` vcghkfkcgte Ychkikø @ps.894, 842.38, µquë tasa mc kgtcrës bagø cg c` pcræeme mc 9: mæas5 µQuë tasa mc kgtcrës Agua` bagø5
K6 K₉-K₁/K₁t K6 (894,842.38-893,>>>)/(893,>>>*9:) 9% bagame cg c` pcrkeme mc 9: mkas
K6
K6 (894,842.38 (894,842.38-893,>>>)/(893, -893,>>>)/(893,>>>*(9:/84>)) >>>*(9:/84>)) 3% bagame cg c` pcrkeme mc ug age
K6
9>)
Sg hapkta` mc @ps.8, :>>.>>, kgvcrme a` 99%, sc hegvkrø cg @ps.8, ;2=.12. µHuágtes mæas Cstuve kgvcrme5
t6
F ^
-1
t t6 (8,;2=.12/8,:>>)-1/(>.99/84>) t623 mkas cstuve kgvcrme
99)
C` 9> mc farze `a scñera ^ërcz kgvkcrtc @ps.11, 4>>.>> a uga tasa mc` :.8=% agua`. µQuë mæa Ycra Ycr a su kgvcrskøg sk eicgc ug fegte mc @ps.11, :;1.345 S`khc añe gatura`
t6 K₉-K₁/K₁t t6 (11,:;1.34-11,4>>)/(11,4>>*(:.8=/843)) t6 11> mkas cstuve kgvcrme c` : mc Lu`ke rcra rcra su kgvcrskeg
far air
11 8>
fay
81
lug
8>
lu`
: 11>
9=)
µHuá` cs c` prchke mc hegtame mc uga `aptep quc sc paba magme ug aghkpe mc` 93% mc` ^rchke mc hegtame y sc rfa ug pabarë a 8 fcscs mc p`aze per @ps.1;, 193.>> hagmam quc kgh Kgtcrcscs a `a tasa mc` 93% agua`5
T^6
F 1+kt
T^6
1;,193 1+(>.93/19)(8)
T^61:,>>>.>>
AG]KHK^E
1:>>>*>.93
=,3>>.>>
18,3>>.>> C` prchke mc hegtame scrka 94)
Sg jerge mc fkhreegmas hucsta $1;> sk sc paba mc hegtame y $9>3.3> sk sc paba a `es 4 fcscs. Xk pkmkcra ug prëstafe prëstafe mc $1;> a 4 fcscs mc p`aze y uga tasa mc kgtcrës mc 11.9% agua` para hefprar c` jerge mc hegtame, µ`c hegvkcgc5 K6 ^ * t * k K6 1;> * 4 * >.119/19 K6
11
F6
1;>+11
F6
9:)
9>1 Hegvkcgc pcmkr c` prcstafe
Xagmra mcsca vcgmcr uga pu`scra mc ere, y rchkic c` 1: mc airk`, `as skbukcgtcs edcrtas< a) $12,:;> mc hegt hegtame ame i) $3,>>> mc cgbaghjc y sc rf rfa a ug pabarc mc $1=,:>> $1=,:>> heg vcghkfkcgte c` 13 mc abeste. h)$8,>>> mc pabe kgkhka`, y sc rfag mes pabarës< uge per $4,8>> a 8> mæas mc p`aze
y etre per $;,:>> heg dchja mc vcghkfkcgte c` 3 mc lu`ke. µHuá` edcrta `c hegvkcgc fás sk c` rcgmkfkcgte gerfa` mc` mkgcre cs mc` 1,22% fcgsua`5
i)
h)
air fay
19 8> 8> 8> 13
F6 ^(1+kt)
F6 ^(1+kt)
F6 1=,:>>(1+>.>122/84>*112)
F6 4,8>>(1+>.>122/84>*8>)
lug lu`
F6
F6
4,8>;.9;
abe
F6
;,:82.1> 8,>>> 8,>>>.>> .>> cgb cgbagh aghjc jc
F6
F6
1=,::3.1= 3,> 3,>>>. >>.>> >> cgb cgbagh aghjc jc
1;,::3.1=
F6
F6
1;,1=4.8;
F6 ^(1+kt) F6 ;,:>>(1+>.>122/84>*22) F6
112
;,:82.1>
air fay
19 8>
lug
8>
lu`
3 >
22
Y/ @c hegvkcgc ahcptar `a Ephkeg I
8>)
Ha`hu`c c` kgtcrcs feraterke y c` fegte teta` a pabar mc` skbukcgtc mehufcgte, saikcgme quc cstc sc `kqukme 13 mkas mcspucs mc `a dchja mc vcghkfkcgte. 19/94/9>>4 ^abarc>.>> A`da, X. A., A., Mcicfes y y pabarcfes kghegmkhkega`fcgtc per cstc pabarc a `a ermcg mc Hefcrhka` A`da, cg Fëxkhe, M.D. c` mæa 13 mc airk` mc 9>>2. @a hagtkmam mc>/1>> fegcma gahkega` Ta`er rchkikme a fk cgtcra satksdahhkøg. @a sufa agtcrker kgh`uyc kgtcrcscs a `a tasa mc 9;% agua` jasta `a dchja mc su vcghkfkcgte, vcghkfkcgte, y y sk ge cs pabama a` vcghkfkcgte vcghkfkcgte hausara uga tasa mc kgtcrës feraterke mc 3:% agua`.
mkh cgc
Cdrakg @uga
T^6
F
1+kt
89)
8>
dci
8>
F6 99,13=.2>(>.3:/84>*13)
far air
8> 13
383.=1
9=,1>> 1+(>.9;/84>)(1>;)
1>; Fegte a ^abar F6
T^6
=
F6 ^(1+kt) F6
T^6
9=,483.=1
99,13=.2>
Sga cfprcsa eterba ug prëstafe mc $11,3>> a uge mc sus cfp`cames, heg vcghkfkcgte a ug añe y uga tasa mc kgtcrës mc` 1:%. Xk c` cfp`came paba su mcuma 9 fcscs agtcs mc `a dchja mc vcghkfkcgte, ha`hu`c `a hagmam quc mcicrá pabar. µHuá` scrá `a hagmam a pabar, sk sc u`kza uga tasa mc kgtcrës mc` 9>% para ha`hu`ar c` va`er prcscgtc mc `a mcuma5
^6 k6 t6
11,3>>
F6
18,32>
>.1: 1 añe
1:%
F6 ^(1+kt) F6 113>>(1+>.1:*1) F6
18,32>.>>
1:% T^6
F
1+kt T^6
18,32> 1+(>.1:/19)(9)
T^6
18,12=.24 9>%
T^6
F
1+kt T^6
18,32> 1+(>.9>/19)(9)
T^618,189.94
8=)
Huagte Huagtess f fcscs cscs ja cstame cstame kgv kgvcrm crme eu ug g hhapk apkta` ta` a` 91.4 91.4% % skfp` skfp`cc ag agua` ua` sk c` c` fk fksfe sfe
a preperhkegame ug kgtcrcs kbua` a` 1:% mc` hapkta`. XE@SHKØG< ^ 6 1>>.>> (va`er asufkme) K6 >.1: * 1>> 6 1:.>> k 6 91.4% agua` 6 >.914/19 fcscs t 65 1> fcscs Xustuycgme `es va`ercs hegehkmes cg `a dørfu`a , sc eicgc< t6
1: (1>>*>.914/19)
t6 84)
1> fcscs
Sga hefputamera hucsta @ps.99,8>> mc hegtame. Sg cstumkagtc csta mc ahucrme cg mar ug pabe kgkhka` mc` 9>% mc` prchke mc hegtame y c` rcst rcste e a 4> mkas heg ug rcharbe mc` 19% seirc c` prchke mc hegtame. µQuë tasa mc kgtcrcs skfp`c agua` paba c` cstumkagtc5 ^h 6 cgbaghjc
99,8>> 9>%
=,=4>
^6 ph-cgbaghjc ^6
12,:=>
rcharbe 19% F6 ph+rcharbe F6 9=,;24
9,424
F
k6
-1
^ t
9=;24
8:)
k6
12:=> 4> "9=,;24-1
k6
"12,:=> 4>
k6
:=%
-1
tasa mc kgtcrcs aggua`
Sg hapkta` mc @ps.94,:>> sc ja kgvcrme muragt muragtc c 19> mkas. A `es 8> mkas mc cdchtuama `a kgvcrskeg y hefe hegschucghka mc ug aufcgte mc `a tasa mc kgtcr kgtcrcs cs quc suike a` 14.3% agua`, sc mchkmke kgvcrr c` mei`c mc `a sufa erkbkga` heg `a fksfa dchja mc vcghkfkcgte quc `a prkfcra kgvcrskeg. Xaikcgme quc kgtc kgtcrcs rcs teta` teta` premuhkme per afies hapkta`cs a` ga` mc` p`aze duc mc @ps.8,=1=.9=, sc mcsca saicr hua` cs `a tasa agua` mc kgtcrcs a `a hua` sc rca`kze `a prkfcra kgvcrskeg. S`khc añe gatura`5
K₁6^₁k₁t₁ + ^₉k₉t₉ 8=1=.9= 94,:>>(19>) + 38,4>> (>.143/843)(;>) 8,=1=.9=
###
9,1:>.21
8=1=.9=-91:>.2168914>>> 1988.38
8914>>>
k6 1988.38/891 1988.38/8914>>>*1>>*843 4>>>*1>>*843 k6 k6
18.;;;;31: 1=% Agua`
1)
Sga mkstrkiukmera autefetrkz vcgmc auteføvk`cs a hrëmkte. Xc ma ug 8>% prchke mc hegtame hefe cgbaghjc y c` sa`me sc huirc cg 84 fcgsua`kma fcgsua` mc kgtcrës b`eia`. Xk ug auteføvk` hucsta $ 9=8,>>>.>>. a) @a hagmam teta` quc sc sc pabara pabara per c` autefevk` a` he hefprar`e fprar`e a hrcmkt
C` autefevk` a` hrcmkte cgc ug prchke mc
8>=,984
i) C` kgtcrcs teta` quc sc pabara per c` gaghkafkcgte
C` teta` mc Kgtcrcscs per pabar cs mc
41,984
h) C` aiege fcgsua`
C` aiege fcgsua` per pabar cs mc
^6
4,=94
9=8,>>> - 8>% mc 9=8,>>> 6
29,;>>
@a aferzahkeg fcgsua` cs mc a6
29,;>>
9,>93
84 F6 F6 F6 a6
12>1>> (1+(1)(84) 981,884 981,884 29,;>> ^ g
981,884 84
8>=,984 4,=94
8)
3)
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^6
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(1+>.9:/9=)(1>)
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a6
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9,;93
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a6 a6
K6
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^ g 9>>>> 39
gk 9
=82.3= 9,231.;9
8:=.4138:
_9^ - a (g - 1)V
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Aiege scfaga`
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Aiege scfaga`
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98>.1: 23=.94
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k6
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^ g =22>
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9= K6
gk
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9 >.131:
=;4:.23
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Aiege qukghcga` 11)
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a) = fcscs. i) : fcscs. h) A` ga` mc` p`aze ^6 ^6 k6
23=.94
8;>.>3 g 48>.;4 =,2:> - 1>% mc =,2:> 6 =,2:> -=2:
g6 1> fcscs >.89
a6
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gk 9
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gk 9
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Sg pr prcs csta tafe fe per per 1:, 1:,>> >>> > mci mcic c scr scr `kqu `kqukm kmam ame ec cg g ug sc scfc fcst strc rc fcmkagtc pabes fcgsua`cs, pabagme uga tasa mc kgtcrcs skfp`c seirc sa`mes kgse`utes kbua` a `a ]KKC fas 1= pugtes perhcgtua`cs. Eitcgba c` pabe teta` quc sc mcic rca`kzar hama fcs, saikcgme quc `a ]KKC ducreg `as festramas cg `a skbukcgtc tai`a
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^6 1:,>>> g6 4 fcscs k₁6 >.9889 ]KKC+1= pugtes k₉6 >.981= ]KKC+1= pugtes k₈6 >.9893 ]KKC+1= pugtes k₍6 >.9841 ]KKC+1= pugtes k₃6 >.982= ]KKC+1= pugtes k₄6 >.9= ]KKC+1= pugtes a6 ^ a6
g 1:>>> 4
8,>>>
FCX 1 9 8 = 3 4
K₁6
gk 9
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K₁6 >.9889/19)(1 _(9)(1:>>>)-8>>>(1-1)V 9 K₁6 >.>>;21442 K₉6
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8=;.:>
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989.3>
13)
Xc hefpra a hrëmkte ug uga fc fcfircsæa pa para ug h`ui mcperve fc fcmkagtc ug cgbaghjc mc` 9>% mc` prchke mc hegtame y, c` rcste, a pabar cg 1: fcgsu mc ;:3.>> ;:3.>> hama uga, `a hua` kgh`uyc kgh`uyc kgtcrcscs kgtcrcscs mc` 89.;=% 89.;=% agua` skfp`c skf p`c se sa` sa`mes mes kgse`ute kgse`utes. s. Mc Mctcr tcrfkg fkgc c c` prc prchke hke mc heg hegtam tame e mc `a fcfircsæa.
12)
Sg he hefcmer c cgc ug p prrchke m mc c hhe egtame m mc c= =,,2>>.> .>> >, y sc p pu ucmc hhe efpr p`azes heg ug cgbaghjc mc` 13% y 19 pabes fcgsua`cs mc ==9.>> hama Eitcgba `a tasa mc kgtcrës skfp`c seirc sa`mes kgse`utes.
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gk 9
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g 93,;42.39k6 k6
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k6 >.>11:38;894 k6 9:.=3% 91 Mkaga hefpre a hrcmkte uga sa`a quc `c juikcra hestame 3,=:> mc hegtam A hrcmkte tuve quc mar ug pabe kgkhka` mc 1,>>> y a` sa`me sc `c harbe uga tasa mc kgtcrcs skfp`c mc 9;% aggua` seirc sa`mes kgse`utes Mctcrfkgc Mctc rfkgc c` gufcre gufcre mc fcgsua`kmamcs fcgsua`kmamcs,, sk c` va`er mc` pabe fcgs fcgsua` ua` cs 82: 82:6 =,=:>+(>.9;/19)(g/9)_9*=,= =,=:>+(>.9;/19)(g/9)_9*=,=:>-(=,=:>/ :>-(=,=:>/g)(g-1)V g)(g-1)V 82:g6 =,=:>+>.>19>:g_:,;4>-=,=:>+(=,=:>g)V 82:g6 =,=:>+>.>19>:g_=,=:>+(=,=:>g)V 82:g6 =,=:>+3=.18g+3=.18 82:g-3=.18g6 =,=:>+3=.18 898.:2g6 g6
=38=.18 =38=.18 898.:2
1= fcgsua`kmamcs
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mc
mc hegtame eirc c` prchke mc hegtame 8% fcgsua` seirc sc paba per c` hrëmkte.
s mc =,2:> 89% ,
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9=3.88
TC6 ;,9>>-9=3.99 TC6
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=) C` mkrchter mc uga cshuc`a se`khkte ug prëstafe per `a hagmam mc 142,3 p`aze, `a tasa mc mcshucgte cs mc` 9.;8% fcgsua`, para `a hefpra mc 4 p kgtc`kbcgtcs mc 4=" cg mkabega`. a).- Xk hama pkzarreg hucsta 98,24> fás 14% mc KTA, µtcgmrá suhkcgtc p 4 pkzarregcs5 143,84;.4> i).- µHuágte sc gchcskta pcmkr heg c` g mc eitcgcr `a hagmam cxahta p 4 pkzarregcs5 129,;21.21 M6 (142,3>>(>.>9;8/8>)(=3) M6 2841.493 TC6 142,3>>-2841.493 TC6 14>,18:.8: Heste ]eta` + KTA GE @C JAHC DA@]AG DA@]AG
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D-TC TC(t) r6 4,89>-3,;93
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8
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m6
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m6
m6
M ft 11,4;:.44 19,>>>(>.8=22/84>)
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9;
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14,9>4.;3(1.3) r68;.1=49% aggua` tasa mc rcgmkfkcgte
TC6 12,>>>-2;8.> TC614,9>4.;3
19) Har`es gchcskta 1>,2;3 c` mæa 2 mc farze y rckgtcbra c` mkgcre c` mæa 8> m mc` fksfe añe quc prëstafe mcic se`khktar a` iaghe sk `a tasa mc mcshu M6 Fmt
TC6 1>,2;3+=>8.>
M6 1>,2;3(34)(>.9=/84>) M6 =>8.>18888
TC6
11,1;:.>1
1=) Buk``crfe se`khkta ug prëstafe qukrebradarke a 8 fcscs mc p`aze. Xk `a ta mc mcshucgte duc mc` 98.:% µHuá` duc `a tasa mc rcgmkfkcgte para c` ia >.98: r6
19
1-
>.98:
(8)
19 >.>1;:8888 >.;=>3
93.8>32
14) Sg hefcrhkagtc mcshucgta mes pabarës cg c` iaghe megmc cgc hucgta Sge mc `es mehufcgtes cgc ug va`er mc vcghkfkcgte mc 9:,=>> y vcgm
c` etre cgc ug va`er mc vcghkfkcgte mc 81,823 y vcghc mcgtre mc 9: mæ ap`kha uga tasa mc mcshucgte mc` 89% cghucgtrc `a hagmam teta` mc` mk c` hefcrhkagtc M6 (9:,=>>(>.89/84>)(18) M6 89:.12222: TC6 9:,=>>-89:.122222: TC69:,>21.:9
M6 (81,823(>.89 M6 2:>.:::::; TC6 81,823-2:>.: TC68>,3;=.11
3:,443.;8
Mcshucgte rahkega`< M6 (9:,=>>(>.89/84>)(18)/(1+(>.89/84>)(18)
M6
M6 89=.=9::99
M6
TC6 9:,=>>-89=.=9::99 TC69:,>23.32
TC6 TC6
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1:)
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9>)
Xara he hefpra ug ug ørbage c` c`chtrøgkhe ma magme ug ug pa pabe kgkhka` mc 3,>>> y c` rcste 98,=3>, mcicrá pabar`e cg 4> mæas a uga tasa mc kgtcrës mc` 91.; Xc rfø ug pabarë y c` mucñe mc` gcbehke `e mcshucgta a` mæa skbukcgtc a` 9=.=% µQuë hagmam mc mkgcre eicgc c` bcrcgtc mc` gcbehke5 µQuë tasa mc rcgmkfkcgte eicgc c` iaghe5
TC6 F(1-mt) TC6 98,=3>(1->.9==/84>)(3;) TC6 99,319.94
r6
D-TC TC(t) r6 98,=3>-99,31 99,319.94(3;)
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sa ghe5
mc hjcqucs c mcgtre mc 18 mæas
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(81,823(>.89/84>)(9:)/(1+(> (81,823(>.8 9/84>)(9:)/(1+(>.89/84>)(9:) .89/84>)(9:) 241.;93=19 81,823-241.;93=19 8>,418.>2
% trkfcstra`, 82
% agua`. cg su iaghe
9.94
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