3.37.1219...
..
. .
2011
3
.
:
37/38
:
1.
1.1.
1.2.
1.3.
1.4.
1.5.
1.6.
1.7.
1.8.
2. -
1.
, 1, 1: 100
..
. .
2
1.
3
1.1. 3
1.2. 3
1.3. 6
1.4.
8
1.5. 12
1.6. 13
1.7. 14
1.8. 16
2. - 20
21
22
, .
: - ; ; , - , .
, - , , , , . . : . , .
|
|
, , . , - . , .
, . , :
1) ;
2) ;
3) - ;
4) ;
5) - ;
6) (, - )
2011
1.
1.1
- , .
, 8- , .
.
:
F = ( n) ∙ 8 tn (1)
, ;
;
n ;
tn ,
1 .
F = (365 105 10) ∙ 8 4 = 1996 ()
:
F. = F ∙ (1 / 100); (2)
F. = F ∙ (1 / 100);
, ; 10%,
5%.
F. = 1996 ∙ (1 5 / 100) = 1896
F. = 1996 ∙ (1 10 / 100) = 1796
1.2
:
●
●
-
, .
, .
, .
:
¡
¡ = -----------------, (3)
F. ∙
, i ,
;
, = 1,25;
|
|
i .
1 = ---------------- =
1896 ∙ 1,25
2 = ----------------- =
1896 ∙ 1,25
3 = ---------------- =
1896 ∙ 1,25
:
Cn1 = ;
Cn2 = ;
Cn3 = .
:
i
= -------- (4)
ni
, i ;
ni .
:
∑i
= ---------- (5)
∑ ni
:
.
.1.
1. I- , .. | ||||
2. - - .. | ||||
3. , . | - | - | - | |
4. | 1,25 | 1,25 | 1,25 | 1,25 |
5. , | ||||
6. , | ||||
7. , | ||||
8. . |
:
,%
1 2 3 4 5 6 7 8 9 10 11 12 n, .
1.3
, : , , , , , .
, 23% .
:
.
= ------------ ∙ i; () (6)
.
, . , ()
.
, (%)
i i-
,(%)
:
.2
- | , | ., . | , | ||||||
. | . | . | |||||||
. | - | 8x5 | |||||||
. | 1,7 | 2,552,4 | |||||||
- . | 6,5 | 123,8 | |||||||
- |
12%; 2% .
(6) :
. 3.
, . | , % | |
1. | ||
2. | ||
3. | 19,8 | |
4. | ||
5. | 4,2 | |
6. | ||
7. , | ||
|
|
1.4.
, :
;
;
();
();
:
¡
¡ = -----------------, (7)
F. ∙
1 = ---------------- =
1796 ∙ 1,25
2 = ----------------- =
1796 ∙ 1,25
3 = ---------------- =
1796 ∙ 1,25
:
1 =
2 =
3 =
.4.
¡ (/) | F.. () | ||||||
III | 1,25 | ||||||
III | 1,25 | ||||||
III | 1,25 | ||||||
1,25 |
.
, 19% .
∙ 19
= ----------- (8)
∙ 19
= ----------- =
:
=
.5.
V | ||
IV | ||
: | ---- |
10% :
+
= ----------------- ∙ 10% (9)
+
... = -------------- ∙ 10% =
:
= 1
:
+
= ------------------ (10)
+
= -------------- = 0,14
...
= 1
.6.
. | , . | |
: |
.7.
. | . , % | |
1. | ||
2. . | 12,5 | |
3. | 6,25 | |
4. | 6,25 | |
, , .
, ().
, ( ..).
|
|
.
.
:
=[.. ∙ (1+(/100))] ∙ (1+(./100)) (11)
, .. ;
, 40%;
, 7%.
:
. = ∙ N ∙ t (12)
, , .;
N , .;
t .
.
.8.
N . | t, / | ., . | , . | ., . | ||
9,65 | ||||||
10,58 | ||||||
10,58 | ||||||
: | --- | --- |
:
=[. ∙ (1+(/100))] ∙ (1+(/100)) (13)
, ;
, 35%;
, 7%.
:
. = ∑ ∙ F. ∙
, , .
:
.
. 9.
() | F. () | . () | () | |||
10,82 | ||||||
9,76 | ||||||
: | --- | --- |
.
.10.
, . | , . | ||
: |
.
. 11.
- . | . . () | .. | .. () | . .. () | ||||
% | % | |||||||
1. | ||||||||
2.. | ||||||||
3. | --- | ----- | -- | ----- | ||||
4. | --- | ----- | -- | ----- | ||||
: | --- | -- |
1.5
:
S = S + S + S (15)
, S 2
S 2
S 2
S = 2
:
S = ∑S ∙ (16)
, S ;
402, 502,
4002.
.
S = 2
:
S = S ∙ (17)
, S
, .
S = 6 ∙ 1 = 6 2
.
, .
S = S ∙ + S (18)
, S , ;
S = 32
.
S ( 52)
S = 2
1.6
: , , , .
|
|
:
= ( ∙ ∙ ) ∙ N ∙ (1+(/100)) (19)
, , 4200 . 1 ;
;
, 800 . 1 ;
10%
= (4200 800 ) (1 + ------) =
:
Q = 0,03 ∙ ∙ ∙ N (20)
, , .
. (6 /)
N .
Q = 0,03 6 = /
:
= Q ∙ (21)
, , = 1,0027 . 1 /
= 1,0027 =
:
Q = q ∙ ∙ (22)
, q , 0,0253
; = 250
.
Q = 0,025 250 = 3
:
= ∙ Q (23)
, 13,86 . 13
= 13,86 =
1.7
, .
, , .
, .
, .12.
(.) | ||
. | 12,5% . | |
. | . | |
. | 10% . | |
. | 2% . | |
. | 300 . | |
. | 25% . | |
: | --------------- |
. .13.
. | . | (.) |
. | ... | |
. | ... | |
, . | 15 (.) 12 . | |
, , . | 100 (.) 12 . | |
, , . | 10 (.) 12 . | |
. . | 10 (.) . | |
. | 5% . | |
. | 5% . | |
. | 40% . | |
: | ------------------- |
.
.14.
(.) | |
. | |
. | |
. | |
. | |
. | |
. | |
: |
.15.
(.) | |
. | |
. | |
, , . | |
, , . | |
, , . | |
, , . . | |
. | |
. | |
. | |
: |
1.8
.
, :
1. .
(19),
:
.. = ---------- = --------------- =
N
2.
(21),
:
.. = --------- = ------------- =
N
3. :
+ +
. = ------------- = ----------------------------- = (24),
N
4.
...
. = -------------- = ------------ = (25),
N
5. :
. + .
.. = ------------------ 2,9% (26),
+
.. = ------------------------ 2,9 =
6. :
. +
= ------------------- 1,9 % (27),
+
= ----------------------- 1,9 =
7. :
.
= --------- 50% (28),
= ------------ 50 =
8. :
.
= --------- 40% (29),
= ------------ 40 =
9. :
.
= --------- 60% (30)
= ----------- 60 =
10. :
.
= --------- 1% (31),
= ----------- 1 =
11. :
S = ∑ 1 ÷ 10 (32),
S =
12. :
S
= ------ 1% (33),
= ------------- 1 =
13. :
S. = S + (34),
S. = + =
14. :
S.
= -------- 5 % (35),
= ------------ 5 =
15. :
. = S. + (36)
= + =
.16.
() | |
2. -
, , - .
-
.17.
. | . | |
1. : - ; - | . . | |
2. : - ; - | . . . | |
3. | . | |
4. | --- | |
5. : - | 2 2 | |
6. : - | . . | |
7. | ||
8. | / | |
9. | 3 | |
10. : - 1- ; - 12 | /. /. /2 | |
11. : - | . . | |
12. | . | |
13. | . | |
14. , | . |
2011 .
, , ., . , , (.3.)
, - . , ,
- .
1. .. , / .. .: , 1981.
2. .. , / .. .: , 1977.