,,,
1.1
, .
:
|
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, .
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4. :
. . = . = * i .
, .
, .
.
. - . .
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:
= . * / 100
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. = + . . . .
,
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, .
12
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. . = . * n` /12
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:
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= 13%
= 100000 * 13 /100 = 13 000 .
.
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= 13%
= 66000 * 13 / 100 = 8580 .
.
:
= 62 . .
= 13%
= 62000 * 13 / 10000 = 8060 .
1
1
/ |
. |
. |
|
1. | 100000 | 13000 | |
2. | 66000 | 8580 | |
3. | 62000 | 8060 | |
: | 228000 | 29640 |
1.2
:
1. ( ) - , )
2. - , , , ..
3. - (, )
4. :
() - ( ) :
= **:
- ;
- - , , .
= 1 + 1 + 2 + 2 + 3 + 3
(1 + 2 + 3)*1
1,2,3 -
= 1 + 2*0,95
100
2 - , :
2 = 100% - 1 ( )
0,95 - , ,
() - , , :
= + + + +
, - , .
, - , ( )
() - . :
= + - + -
:
1. = + *
2. = 1 + 2*0,95
100
3. 2 = 100 - 1
:
1. .
2. .
3. .
.
= 129300
= 15,8
1 = 93%
2 = 100-93=7%
= (93 + 7*0,95)/100 = 0,997
= 129300*15,8*0,997 = 2036811
.
:
= 14720
= 18,2
1 = 93%
= 14720*18,2*0,997 = 267100
2.
1. | 129300 | 14720 |
2. | 0,997 | 0,997 |
3. | 15.8 | 18,2 |
4. | 2036811 | 267100 |
1.3. ,
: ( ) ( ). . . , :
1.
2.
3.
4.
5. .
.
:
1. - () - , . :
- . -. , . - (, , , , ). 70% 90%.
- () - . , . , .
- , .
- - , , .
() - .
2. () - , ( , , ).
.
- . . .
di = (Pi/P)*100%
di - ( %)
Pi -
P -
:
1.
2. (, , , )
3.
4. -
5. .
1.3.1
, .
.
/ | ||
1 | 365 | |
2 | 117 | |
3 | 248 | |
4 | 26 | |
5 | 21 | |
6 | 5 | |
7 | .. | |
8 | 222 | |
9 | 1776 |
1.3.2 .
.
- , . :
1.
= /*
-
-
- ( )
2. .
= /(**)
-
-
-
-
- , , :
= *100/(100-n)
n - , :
n = (/)*100%
-
- ()
:
-
, ,
( )
:
:
= 22
= 2 /
= 2
= 22/2*2 = 22
= 22/2 = 11
( ).
:
= /(**)
:
= 14720
= 2 /
= 1,15
= 1776
= 14720/(2*1,15*1776) = 4
= 4/2 = 2
:
= - 100/(100-)
:
=(/)*100 = 26/222 * 100 = 11,71%
:
= 26
= 222
= ( *100)/(100-11,71) = 2200/88,29 = 25
= ( *100)/88,29 = 400/88,29 = 5
5 | 10 | |
3 | 6 | |
4 | 8 | |
2 | 4 | |
3 | 6 |
= 10*100/88,29 = 11
= 800/88,29 = 9
= 400/88,29 = 5
= 600/88,29 = 7
, .
1 | 1 | 1 | |
- | 2 | 4 | 5 |
3 | 6 | 7 | |
1 | 1 | 1 | |
1 | 1 | 1 |
4
/ | |||||
1 |
: n n
|
6 5 |
11 2 13 |
22 4 26 |
25 5 30 |
2 |
: n n n n n
|
4 5 5 3 140 |
5 3 2 4 3 17 |
10 6 4 8 6 34 |
11 7 5 9 7 39 |
3 | 30 | 60 | 69 | ||
4 |
, , n n - n n n
|
2000 1700 1500 1100 1150 |
1 2 3 1 1 8 |
1 4 6 1 1 13 |
1 5 7 1 1 15 |
5 | 38 | 73 | 84 |
1.4.
, . . . , . . .
.
, .
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:
1. , .. /
2. , .. / , .
3. - / , .
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/, .
. = +
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= * 2 * * 0,2 *
= +
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= * 12 *
= % *
= * 12 / * 2 * * 0.2
1.4.1.
, .
()
:
Ϡ = +
= + +
= *
= /
= % *
= * 2 * * 0,2 *
= * %
+ / 12 /
:
6 = 1,05 = 1,05 / 2 = 0,525
= 2 / = 129300*0.525 = 67883
= 129300 = 67882,50*52% = 35299
% = 52 = 1,05 *2*0,2*222*11 = 1026
= 222 = 67883+3529+1026=104208
= 11 = 104208*7,8% = 8128
% = 7,8% = 104208+8128 = 112336 ᠠ
= 25 = 112336/12/25 = 374
:
5 = 0,89 = 0,89 / 2 = 0,445
= 2 / = 129300*0.445 = 6550
= 14720 = 6550*52% =3406
% = 52 = 0,89 *2*0,2*222*2 = 158
= 222 = 6550+3406+158=10114
= 2 = 10114*7,8% = 789
% = 7,8% = 10114+789 = 10903 ᠠ
= 5 = 10903/12/5 = 182
()
Ϡ :
= +
= + +
= i * *
= i * 2 * 0.2 * *
= * %
= /12/
:
5 = 0.89 = 0.89*1776*6 = 9484
= 1776 = 9484*31% = 2940
= 6 = 0.89 *2 *0.2 *222 *3 =237 = 3 = 9484+237+2940 =12661
= 7 = 126612 * 7,8% = 988
% = 31 = 12661 + 988 = 13649
% = 7.8% = 13649 / 12 / 7 = 162
= 222
:
4 = 0.78 = 0.78*1776*10 = 13853
= 1776 = 13853*31% = 4294
= 10 = 0.78 *2 *0.2 *222 *5 =346
= 5 = 13853+4294+346 =18493
= 11 = 6025 * 7,8% = 1442
% = 31 = 18493 + 1442 = 19935
% = 7.8% = 19935 / 12 / 11 = 151
= 222
:
5 = 0.89 = 0.89*1776*4 = 6323
= 1776 = 6323*31% = 1960
= 4 = 0.89 *2 *0.2 *222 *2 =158
= 2 = 6323+1960+158 =8441
= 5 = 8441 * 7,8% = 658
% = 31 = 8441 +658 = 9099
% = 7.8% = 9099 / 12 / 5 = 152
= 222
:
4 = 0.78 = 0.65*1776*8 = 9235
= 1776 = 9235*31% = 2863
= 10 = 0.65 *2 *0.2 *222 *4 = 230
= 5 = 9235+2863 + 230=12128
= 11 = 12128 * 7,8% = 962
% = 31 = 12128 + 962 = 13290
% = 7.8% = 13290 / 12 /9 = 123
= 222
:
=
= + +
= * 12 *
= * %
= * 12 / * 2 * 0.2 * *
:
= 140 = 140 * 12 * *6 =
= 10 = 10080*31% = 3125
= 5 = 140/12/1776 *0.2 *222 *3 = 252
= 11 = 10080+3125+252 =13457
% = 31 = 13457 / 12 / 7 = 160
= 222
5
/ | . | . | / . | % |
. . |
. / | / | . . | . / . |
|
||||
1 |
. .. . . |
25 5 |
6 5 |
1.05 0.89 |
67883 6550 |
52 52 |
35299 3406 |
1026 158 |
104208 10114 |
8128 789 |
112336 10903 |
374 182 |
||
30 | 1.94 | 74433 | 38705 | 1184 | 114322 | 8917 | 123239 | 340 | ||||||
2 |
. |
11 7 5 9 7 |
4 5 5 3 140. |
0.78 0.89 089 0.65 |
13853 9484 6323 9235 10080 |
31 31 31 31 31 |
4294 2940 1960 2663 3125 |
346 237 158 230 252 |
18493 12661 8441 12128 13457 |
1442 988 658 962 |
19935 13649 9099 13090 13457 |
151 1162 1152 1121 1160 |
||
39 | 48975 | 14982 | 1223 | 65180 | 4050 | 69230 | 148 |
|
||||||
69 | 74433 | 48975 | 53687 | 2407 | 179502 | 12967 | 192469 | 232 |
|
1.4.2 , .
, , - . :
= + +
=*12*
Ϡ = *%
= *12/*2*0,2**
= /(12*)
= 2000
%: = 52%
= 1
= 1
= 1
=1776
= 2000*12*1 = 24000
= 24000*52% = 12480
= 24000 + 12480 = 36480
= 36480/12 = 3040
:
= 1700 .
%Ϡ = 52%
= 4
= 2
= 5
= 1700*12*4 = 81600
= 81600*52% = 42432
= 1700*12/1776*2*0,2*222*2 = 2040
= 81600 + 42432 + 2040 = 126072
= 126072/60 = 2110
:
= 1500
% = 52%
= 3
= 6
= 7
= 1500*12*6 = 108000
= 108000*52% = 561600
= 1500*12/1776*2*0,2*222*3 = 2700
= 108000 + 56160 + 2700 = 166860
= 166860/84 = 1986
:
= 1100
% = 52%
= 1
= 1
= 1
= 1100*12*1 = 13200
= 13200*52% = 6864
= 13200 + 6864 = 20064
= 20064/12 = 1672
:
= 1150
% = 52%
= 1
= 1
= 1
= 1150*12*1 = 13800
= 13800*52% = 7176
= 13800 + 7176 = 20976
= 20976/12 = 1748
6
6
, ,
/ | ||||||
1. | 1 | 24000 | 12480 | 36480 | ||
2. | 5 | 81600 | 2040 | 42432 | 126072 | |
3. | 7 | 108000 | 2700 | 56160 | 166860 | |
4. | 1 | 13200 | 6864 | 20064 | ||
5. | 1 | 13800 | 7176 | 20976 | ||
15 | 240600 | 4740 | 125112 | 370452 |
5 6
7
.
1. | 30 | 114322 | 8917 | 123239 |
2. | 39 | 65180 | 4050 | 69230 |
3. , , | 15 | 370452 | 370452 | |
84 | 549954 | 12967 | 562921 |
1.4.3
8.
.
/ | |||
1. | 2303911 | ||
2. |
- .. |
84 69 |
|
3. | 33390 | ||
4. | 27428 | ||
5. | 562921 | ||
6. | 558 |
1.5
.
- . . .
: ( , . ), ( ) , .
:
1. ;
2. ;
3. ;
4.
:
1. :
, , .
2. - , , , .
3. () ()
4. .
, ( , / ..)
, (, / , ). .
5.
- :
- .
- ( + )
- ( + )
- ( + )
6. :
- - , .
- - , , , .
7. , , 2- :
-
- % , ( , ).
1.5.1 , , ,
9.
.
- | |||||
129300 | 0,63 | 81459 | 8030 | 676110 | |
14720 | 0,59 | 8685 | 8,10 | 70349 |
1.5.2 , .
10.
.
/ | . | |
1. 1.1 1.2 1.3 1.4 |
. , , . . . . |
97164 1280 65180 4050 26654 |
2. | . | 3840 |
3. | . | 16640 |
4. | , . | 17647 |
: | 135291 |
1. : 1280 +65180 + 4050 +26654 = 97164
1.1 ..: (66000 + 62000 )*1% = 1280
1.2 :65180
1.3 : 4050
1.4 : (65180 + 4050)*38,5% = 26654
2. : (66000+ 62000)*3% = 3840
3. : 8580 +8060 = 16640
4. , : 117644 *15% = 17647
: 117644 + 17647 = 135291
11.
.
/ | . | |
1. 1.1 1.2. |
.
|
513076 370452 142624 |
2. 2.1 2.3 2.4 |
. , , , . . . |
20000 5000 2000 13000 |
3. | 13800 | |
4. | 1-3: | 546876 |
5. | 82031 | |
: | 628907 | |
111. : 370452 + 142624 =513076 1.1 : 370452 1.2 : 370452*38,5% = 142624 |
2. :
5000 + 2000 + 13000 = 20000
2.1 , , , :100000*5% =5000 2.2 : 100000*2% = 2000 2.3 :13000 |
3. : 69*200 = 13800 4. 513076 + 20000 + 13800 = 546876 5. : 546876*15% = 82031 6. : 546876 + 82031 = 6289075 |
1.5.3
12.
.
- | - | |||
1. | 676110 | 5,23 | 70349 | 4,78 |
2. | 13522 | 0,11 | 1407 | 0,10 |
3. | 87924 | 0,68 | 11482 | 0,78 |
4. / | 104208 | 0,81 | 10114 | 0,69 |
5. / | 8128 | 0,06 | 789 | 0,05 |
6. - | 43249 | 0,33 | 4198 | 0,29 |
7. | 119056 | 0,92 | 16235 | 1,10 |
8. | 553438 | 4,28 | 75469 | 5,13 |
9. | 1605635 | 12,42 | 190043 | 12,91 |
10. | 53146 | 0,41 | 5158 | 0,35 |
11. | 1658781 | 12,83 | 195201 | 13,26 |
12. | 134361 | 1,04 | 15811 | 1,07 |
13. | 1793142 | 13,87 | 211012 | 14,34 |
1.
= 676110
= 70349
2.
= 676110*2% = 13522
= 70349*2% = 1407
3.
= 129300*0,68=87924
= 14720*0,78=11482
4.
= 104208
= 10114
5.
= 8128
= 789
6.
=112336 *38,5% = 43249
= 10903*38,5% = 4198
7.
:
=2036811/(2036811+267100)*100% = 88%
=135291*88% = 119056
= 135291- 119056 =16235
8.
=628907*88% = 553438
= 628907 - 553438 = 75469
9.
=
676110+13522+87924+104208+8128+43249+119056+553438=1605635
= 70349+1407+11482+10114+789+4198+16235+75469=190043
10.
= 104208*51% = 53146
= 10114*51% = 5158
11.
= 1605635 + 53146 = 1658781
=190043 + 5158 = 195201
12.
=1658781*8,1% = 134361
= 195201*8,1% = 15811
13.
= 1658781 + 134361 = 1793142
=195201+ 15811 = 211012
6
- .
- , .. ,
:
1. , ,
2. , . . - . , .
3.
:
. () . :
1. ()
2.
3.
. . :
= ---
, -
:
= - * i
,
I
:
=
, . :
1. . .
2. . .
3. . .
. 2 :
1. :
,
2. :
.
.
13
1.
15,8*,997 = 15,75
18,2*0,997 = 18,15
2.
13,87
14,34
3.
15,75- 13,87 =1,88
18,15 14,34 = 3,81
4.
= / *100%
1,88/13,87*100% = 13,55%
3,81/14,34*100% = 26,57%
1 .
Z = C/
13,87/15,75= 0,88
14,34/18,5 = 0,79
13.
1. | 15,75 | 18,15 | |
2. | 13,87 | 14,34 | |
3. | 1,88 | 3,81 | |
% | 13,55 | 26,57 |
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