1. 3000 . . . 3050 . . 35 .., 15 .. :
1) , , ;
2) 4 , : ) ; ) 1%0.
. (S) , , . (17) S : = (S + S)/2 = (3000 + 3050)/2 = 3025 (. .).
, : (95), (96) (97):
= N / *1000%0, (95)
= M / *1000%0, (96)
= (N M)/ *1000%0 = , (97)
N , M .
(95) : = 35 / 3025 * 1000%0 = 11,57%0, 1000 11 .
(96) : = 15 / 3025*1000%0 = 4,96%0, 1000 5 .
, , (97) : = ,= 11,57%0 4,96%0 = 6,61%0, 6,61 ( ).
, , , . : (98) (99):
∆V = V+ V, (98)
= ∆V / *1000%0, (99)
V+ V , , .
, , (100):
= + = (S S)/ *1000%0. (100)
(100) : = (3050 3000) / 3025 * 1000%0 = 16,53%0, = = 16,53%0 6,61%0 = 9,92%0, 9,92 ( ).
- 8 :
1. ;
2. ;
3. ;
|
|
4. ;
5. ;
6. ;
7. ;
8. .
(. . 7), , .
1 4 ( ) , 5 8 ( ) .
(││>││), 3- .
. 7. .
t (101):
S+t = .(101)
, , , S 4 (101):
S4 = 3050*(1+16,53/1000)4 = 3256,27 (. .).
, 1%0:
S1 = 3000*(1+16,53/1000) = 3050 (. .);
S2 = 3050*(1+15,53/1000) = 3097,363 (. .);
S3 = 3097,363*(1+14,53/1000) = 3142,364 (. .);
S4 = 3142,364*(1+13,53/1000) = 3184,877 (. .).
2. 100 000 x x +1 (dx):
, | 0-1 | 1-4 | 5-9 | 10-14 | 15-19 | 20-24 | 25-29 | 30-34 | 35-39 | 40-44 |
dx |
, | 45-49 | 50-54 | 55-59 | 60-64 | 65-69 | 70-74 | 75-79 | 80-84 | 85 |
dx |
. . , . . :
1) lx , , 100 000 (102):
lx+1 = lx dx;(102)
2) dx x;
3) px x+ 1, , + 1 (103):
;(103)
4) qx (104) ( : px+qx= 1):
; (104)
5) Lx x +1 (105):
;(105)
6) x -, , w (106):
; (106)
7) Ex , , , (107):
; (107)
(107) , .
13. , X , (106) :
|
|
T = (87,5 X)* L.
13. 10
X, | X | lx | dx | px | qx | Lx | x | Ex |
0-1 | 0,5 | 0,982 | 0,018 | 99099,0 | 8621613,0 | 86,216 | ||
1-4 | 0,997 | 0,003 | 98040,0 | 8284380,0 | 84,364 | |||
5-9 | 7,5 | 0,998 | 0,002 | 97790,0 | 7823200,0 | 79,925 | ||
10-14 | 12,5 | 0,998 | 0,002 | 97606,5 | 7320487,5 | 74,930 | ||
15-19 | 17,5 | 0,994 | 0,006 | 97240,0 | 6806800,0 | 69,803 | ||
20-24 | 22,5 | 0,992 | 0,008 | 96590,5 | 6278382,5 | 64,749 | ||
25-29 | 27,5 | 0,993 | 0,007 | 95875,5 | 5752530,0 | 59,788 | ||
30-34 | 32,5 | 0,992 | 0,008 | 95152,0 | 5233360,0 | 54,780 | ||
35-39 | 37,5 | 0,989 | 0,011 | 94238,5 | 4711925,0 | 49,720 | ||
40-44 | 42,5 | 0,983 | 0,017 | 92916,5 | 4181242,5 | 44,620 | ||
45-49 | 47,5 | 0,973 | 0,027 | 90898,0 | 3635920,0 | 39,467 | ||
50-54 | 52,5 | 0,960 | 0,040 | 87855,5 | 3074942,5 | 34,291 | ||
55-59 | 57,5 | 0,938 | 0,062 | 83369,5 | 2501085,0 | 29,069 | ||
60-64 | 62,5 | 0,911 | 0,089 | 77113,5 | 1927837,5 | 23,889 | ||
65-69 | 67,5 | 0,871 | 0,129 | 68788,0 | 1375760,0 | 18,711 | ||
70-74 | 72,5 | 0,819 | 0,181 | 58267,0 | 874005,0 | 13,646 | ||
75-79 | 77,5 | 0,730 | 0,270 | 45390,0 | 453900,0 | 8,648 | ||
80-84 | 82,5 | 0,615 | 0,385 | 30918,5 | 154592,5 | 4,037 | ||
85 | 87,5 | 0,000 | 1,000 | 11771,5 | 0,0 | 0,000 | ||
50,361 |
, 13 (107) 50,361 .