. , , ,

,,,

-

1

 

1 , .

 

1 - - 1995

/

, . , . /

,

, .

1 . 1 5285 8880 176 168
2 1 4944 8305 176 168
3 . 1 4944 8305 176 168
4 1 2130 3578 176 168
5 1 1023 1718 176 168
6 1 1023 1718 176 168
:

.

.

/

, . , . / , , .

1 . 1 5285 8880 176 168 930160 1491840
2 1 4944 8305 176 168 870144 1395240
3 . 1 4944 8305 176 168 870144 1395240
4 1 2130 3578 176 168 374880 601104
5 1 1023 1718 176 168 180048 288624
6 1 1023 1718 176 168 180048 288624
: 3405424 5460672


.

/ , . , . / , , .

1 . 1 5285 8880 176 168 =D4*F4 =E4*G4
2 1 4944 8305 176 168 =D5*F5 =E5*G5
3 . 1 4944 8305 176 168 =D6*F6 =E6*G6
4 1 2130 3578 176 168 =D7*F7 =E7*G7
5 1 1023 1718 176 168 =D8*F8 =E8*G8
6 1 1023 1718 176 168 =D9*F9 =E9*G9
: = (H4: H9) = (I4: I9)

2

 

Microsoft Excel 3.36:

3.36 -

21-77-18
0,75
()
52-12-36 65
20-48-02 7
58-35-90 36
36-81-10 98
27-15-97 45
() ()

:

;

, , 11 - .

1 . - .

, .

21-77-18
0,75
()
52-12-36 65 0,81
20-48-02 7 0,00
58-35-90 36 0,00
36-81-10 98 0,00
27-15-97 45 0,56
() 251 () 1,38.
() 134
() 117

21-77-18
0,75
()
52-12-36 65

= (C5<11; 0;

(C5/60) *C3)

20-48-02 7

=

(C6<11; 0; C6*C3)

58-35-90 36 0
36-81-10 98 0
27-15-97 45

= (C9<11; 0;

(C9/60) *C3)

() = (C5: C9) () = (E5: E9)
() = (C7: C8)
() = (C5: C6; C9)

3

 

: . .

3.51.

 

3.51

11

-1 4
X Y a b h
-1 -1,00 -1 4 0,5
-0,5 0,72
0 1,00
0,5 0,86
1 0,56
1,5 0,17
2 -0,25
2,5 -0,70
3 -1,16
3,5 -1,63
4 -2,11
1,00
-2,11

X Y a b h
-1 =2-A2- (4/ ( (A2+2) ^2)) -1 4 = (D2-C2) /10
-0,5 =2-A3- (4/ ( (A3+2) ^2))
0 =2-A4- (4/ ( (A4+2) ^2))
0,5 =2-A5- (4/ ( (A5+2) ^2))
1 =2-A6- (4/ ( (A6+2) ^2))
1,5 =2-A7- (4/ ( (A7+2) ^2))
2 =2-A8- (4/ ( (A8+2) ^2))
2,5 =2-A9- (4/ ( (A9+2) ^2))
3 =2-A10- (4/ ( (A10+2) ^2))
3,5 =2-A11- (4/ ( (A11+2) ^2))
4 =2-A12- (4/ ( (A12+2) ^2))
= (B2: B12)
= (B2: B12)

4

 

: , . , .

3.52 - 3.76.


3.62

(, . . /. ) (,%)
1 63 15,0
2 64 14,3
3 61 12,0
4 62 12,8
5 65 13,0
6 66 12,5
7 68 11,0
8 63 11,5
9 71 10,0
10 72 9,0
11 73 8,0
12 75 7,5
13 76 6,5
14 81 6,0
15 78 6,2
16 83 5,8
17 84 5,5
18 86 5,0
19 84 4,5
20 88 4,7
(, . . /. ) (,%)
1 63 15
2 64 14,3
3 61 12
4 62 12,8
5 65 13
6 66 12,5
7 68 11
8 63 11,5
9 71 10
10 72 9
11 73 8
12 75 7,5
13 76 6,5
14 81 6
15 78 6,2
16 83 5,8
17 84 5,5
18 86 5
19 84 4,5
20 88 4,7


y = 0,0028x4 - 0,1004x3 + 1,5108x2 - 13,506x + 125,26, (R^2) : R2 = 0,9539.

5

. , ( ). , .

, , , ( =0).

11

11.1 50 . . . , 8 10,5% .

11.2 , , 20000 . 9% .

11.3 5000 12,6% . 2 . .

50 . . . , 8 10,5% .
() () ()
1 0,88% 12 -50000 0 0 629 734,00.
2 0,88% 24 -50000 0 0 1 328 866,87.
3 0,88% 36 -50000 0 0 2 105 046,58.
4 0,88% 48 -50000 0 0 2 966 763,98.
5 0,88% 60 -50000 0 0 3 923 445,61.
6 0,88% 72 -50000 0 0 4 985 556,86.
7 0,88% 84 -50000 0 0 6 164 716,43.
8 0,88% 96 -50000 0 0 7 473 823,45.

() () ()
1 10,5/12 =A4*12 =-50000 0 0 = (B4; C4; D4; E4; F4)
2 10,5/12 =A5*12 =-50000 0 0 = (B5; C5; D5; E5; F5)
3 10,5/12 =A6*12 =-50000 0 0 = (B6; C6; D6; E6; F6)
4 10,5/12 =A7*12 =-50000 0 0 = (B7; C7; D7; E7; F7)
5 10,5/12 =A8*12 =-50000 0 0 = (B8; C8; D8; E8; F8)
6 10,5/12 =A9*12 =-50000 0 0 = (B9; C9; D9; E9; F9)
7 10,5/12 =A10*12 =-50000 0 0 = (B10; C10; D10; E10; F10)
8 10,5/12 =A11*12 =-50000 0 0 = (B11; C11; D11; E11; F11)
, , 20000 . 9% .
() () () () ()
1 9,00% 1 0 20 000,00. 0 -18 348,62.
2 9,00% 2 0 20 000,00. 0 -16 833,60.
3 9,00% 3 0 20 000,00. 0 -15 443,67.
4 9,00% 4 0 20 000,00. 0 -14 168,50.

()

()

() () ()
1 0,09 =A4 0 20000 0 = (B4; C4; D4; E4; F4)
2 0,09 =A5 0 20000 0 = (B5; C5; D5; E5; F5)
3 0,09 =A6 0 20000 0 = (B6; C6; D6; E6; F6)
4 0,09 =A7 0 20000 0 = (B7; C7; D7; E7; F7)

5000

12,6% . 2 . .

12,60%
24 8
1,05%
5000

1 5000 236,77. 184,27. 52,50. 236,77. 4 815,73.
2 4 815,73. 236,77. 186,21. 50,57. 236,77. 4 629,52.
3 4 629,52. 236,77. 188,16. 48,61. 236,77. 4 441,36.
4 4 441,36. 236,77. 190,14. 46,63. 236,77. 4 251,23.
5 4 251,23. 236,77. 192,13. 44,64. 236,77. 4 059,09.
6 4 059,09. 236,77. 194,15. 42,62. 236,77. 3 864,94.
7 3 864,94. 236,77. 196, 19. 40,58. 236,77. 3 668,75.
8 3 668,75. 236,77. 198,25. 38,52. 236,77. 3 470,51.
9 3 470,51. 236,77. 200,33. 36,44. 236,77. 3 270,17.
10 3 270,17. 236,77. 202,43. 34,34. 236,77. 3 067,74.
11 3 067,74. 236,77. 204,56. 32,21. 236,77. 2 863,18.
12 2 863,18. 236,77. 206,71. 30,06. 236,77. 2 656,47.
13 2 656,47. 236,77. 208,88. 27,89. 236,77. 2 447,60.
14 2 447,60. 236,77. 211,07. 25,70. 236,77. 2 236,53.
15 2 236,53. 236,77. 213,29. 23,48. 236,77. 2 023,24.
16 2 023,24. 236,77. 215,53. 21,24. 236,77. 1 807,71.
17 1 807,71. 236,77. 217,79. 18,98. 236,77. 1 589,92.
18 1 589,92. 236,77. 220,08. 16,69. 236,77. 1 369,84.
19 1 369,84. 236,77. 222,39. 14,38. 236,77. 1 147,46.
20 1 147,46. 236,77. 224,72. 12,05. 236,77. 922,73.
21 922,73. 236,77. 227,08. 9,69. 236,77. 695,65.
22 695,65. 236,77. 229,47. 7,30. 236,77. 466, 19.
23 466, 19. 236,77. 231,88. 4,89. 236,77. 234,31.
24 234,31. 236,77. 234,31. 2,46. 236,77. 0,00.
5 000,00.
0,126
24 8
=12,6%/12
5000

1 =B6 =- (B5; B4; B6; 0; 0) =- (B5; A10; B4; B6; 0)

=-

(B5; A10;

C4; B6; 0)

=E10+D10 =B10-D10
2 =G10 =- (B5; B4; B6; 0; 0) =- (B5; A11; B4; B6; 0)

=-

(B5; A11;

B4; B6; 0)

=E11+D11 =B11-D11
3 =G11 =- (B5; B4; B6; 0; 0) =- (B5; A12; B4; B6; 0)

=-

(B5; A12;

B4; B6; 0)

=E12+D12 =B12-D12
4 =G12 =- (B5; B4; B6; 0; 0) =- (B5; A13; B4; B6; 0)

=-

(B5; A13;

B4; B6; 0)

=E13+D13 =B13-D13
5 =G13 =- (B5; B4; B6; 0; 0) =- (B5; A14; B4; B6; 0)

=-

(B5; A14;

B4; B6; 0)

=E14+D14 =B14-D14
6 =G14 =- (B5; B4; B6; 0; 0) =- (B5; A15; B4; B6; 0)

=-

(B5; A15;

B4; B6; 0)

=E15+D15 =B15-D15
7 =G15 =- (B5; B4; B6; 0; 0) =- (B5; A16; B4; B6; 0) =- (B5; A16; B4; B6; 0) =E16+D16 =B16-D16
8 =G16 =- (B5; B4; B6; 0; 0) =- (B5; A17; B4; B6; 0)

=-

(B5; A17;

B4; B6; 0)

=E17+D17 =B17-D17
9 =G17 =- (B5; B4; B6; 0; 0) =- (B5; A18; B4; B6; 0)

=-

(B5; A18;

B4; B6; 0)

=E18+D18 =B18-D18
10 =G18 =- (B5; B4; B6; 0; 0) =- (B5; A19; B4; B6; 0)

=-

(B5; A19;

B4; B6; 0)

=E19+D19 =B19-D19
11 =G19 =- (B5; B4; B6; 0; 0) =- (B5; A20; B4; B6; 0)

=-

(B5; A20;

B4; B6; 0)

=E20+D20 =B20-D20
12 =G20 =- (B5; B4; B6; 0; 0) =- (B5; A21; B4; B6; 0)

=-

(B5; A21;

B4; B6; 0)

=E21+D21 =B21-D21
13 =G21 =- (B5; B4; B6; 0; 0) =- (B5; A22; B4; B6; 0)

=-

(B5; A22;

B4; B6; 0)

=E22+D22 =B22-D22
14 =G22 =- (B5; B4; B6; 0; 0) =- (B5; A23; B4; B6; 0)

=-

(B5; A23;

B4; B6; 0)

=E23+D23 =B23-D23
15 =G23 =- (B5; B4; B6; 0; 0) =- (B5; A24; B4; B6; 0)

=-

(B5; A24;

B4; B6; 0)

=E24+D24 =B24-D24
16 =G24 =- (B5; B4; B6; 0; 0) =- (B5; A25; B4; B6; 0)

=-

(B5; A25;

B4; B6; 0)

=E25+D25 =B25-D25
17 =G25 =- (B5; B4; B6; 0; 0) =- (B5; A26; B4; B6; 0)

=-

(B5; A26;

B4; B6; 0)

=E26+D26 =B26-D26
18 =G26 =- (B5; B4; B6; 0; 0) =- (B5; A27; B4; B6; 0)

=-

(B5; A27;

B4; B6; 0)

=E27+D27 =B27-D27
19 =G27 =- (B5; B4; B6; 0; 0) =- (B5; A28; B4; B6; 0)

=-

(B5; A28;

B4; B6; 0)

=E28+D28 =B28-D28
20 =G28 =- (B5; B4; B6; 0; 0) =- (B5; A29; B4; B6; 0)

=-

(B5; A29;

B4; B6; 0)

=E29+D29 =B29-D29
21 =G29 =- (B5; B4; B6; 0; 0) =- (B5; A30; B4; B6; 0)

=-

(B5; A30;

B4; B6; 0)

=E30+D30 =B30-D30
22 =G30 =- (B5; B4; B6; 0; 0) =- (B5; A31; B4; B6; 0)

=-

(B5; A31;

B4; B6; 0)

=E31+D31 =B31-D31
23 =G31 =- (B5; B4; B6; 0; 0) =- (B5; A32; B4; B6; 0)

=-

(B5; A32;

B4; B6; 0)

=E32+D32 =B32-D32
24 =G32 =- (B5; B4; B6; 0; 0) =- (B5; A33; B4; B6; 0)

=-

(B5; A33;

B4; B6; 0)

=E33+D33 =B33-D33
= (D10: D33)

6

. ( ) .

:

) ;

) () ;

) ;

) .

11

1- 0,2 0,3 0,2 20
2- 0,4 0,1 0,3 37
3- 0,3 0,1 0,1 43
0,2 0,3 0,2 1,82669789 0,67916 0,632318501
A 0,4 0,1 0,3 (E-A) ^-1 1,05386417 1,54567 0,74941452
0,3 0,1 0,1 0,72599532 0,39813 1,405152225
1 0 0
E 0 1 0
0 0 1 89
X 110
0,8 -0,3 -0,2 90
E-A -0,4 0,9 -0,3
-0,3 -0,1 0,9 17,77 33,15 17,93
- 35,54 11,05 26,90
det (E-A) 0,427 26,66 11,05 8,97

1 17,77 33,15 17,93 68,85 20 88,85
2 35,54 11,05 26,90 73,49 37 110,49
3 26,66 11,05 8,97 46,67 43 89,67
1,6267 0,37916 0,4323
(E-A) ^-1-A 0,65386 1,44567 0,4494
0,426 0,29813 1,3052

, 1-, 2- 3- 88,85, 110,49 89,67 . . .

1 1 ,

 

 

 

! , , , .
. , :