.


:




:

































 

 

 

 


.

1

. 15000 . 1200 . 6 50%, 65%. 15%.

:

1. : = + +

= 15000+1200=16200 ()

2. :

=*

=(15000*0,5+15000)+(1200*0,65+1200)=244800.

3. :

= -(**)/100

= 16200-(16200*15*6)/100 =1620

= 24480-(24480*15*6)/100 = 2448

4. :

= -

 


2

. 8 240000 . 16000 . 1240 . 1 . 3 60%. 75%. 50%. 24%.

:

1) :

=++

=240000+16000+1240*8=265920

265920/8=33240

2) :

=*

=(240000*0.6+240000)+(16000*0.75+16000)+(1240*8*0.5+9920)=384000+28000+14880=426880

1 426880/8=53360

3) :

= -

1=265920-265920*0,24*3=265920-191462.4=74457.6

1 9307.2

2=53360-(53360*24*3)/100=14940.8


3

. 12.8%. 6200000 . : 1.05 (1 ) 980000 ., 1.09 () 670000 ., 1.10 1090000 .

:

1 = * .

. = ..+(*n1)/100-(12- n2)/12

=6200000+980000*8/12+670000*4/12-1090000(12-9)/12=6804.1

: *..=6804.1*0.128=870.9

4

20000 . 4 , 15%.

1)

2) , 10 .

:

1) .=-

..1=(- )/

=++

=20000-20000*1/10*4=12000 . ( )

20000*0.85=17000 . . .

=17000-20000*0,85*1/10*4=10200 .

3) : 12000-10200=1800 .

1) ..1=(20000-17000)/20000=0.15


5

20000 . 4 , , 4 .

1) , 10 .

2) .

:

..2=(-*/)/

2)..2=(20000 -20000*1/4)/20000=0.75

1) = 2-0,15=1,5

1,5*6=9 .

6

2 . : 570 . ., 640 . . : 22800, : 25300. 1 : 17100 . ; 18900 - . .

=/.; =../

: =17100*22800/570 .=0,684

=570 . /22800=25000

: =18900*25300/640 . =0,75

=640 . * 25300=25296,4


7

1 , . 1 .830 . . 45% . 5% . 10 . 15000 .

:

=1830000

= (++..- )/

=0,45*1830000=823500 ()

=0,05*1830000=91500()

=10

Q= 15000

=(1830000+823500-91500)/150000=256200/150000=17,08

16.

, , 8 , 2 . 960 . 2%. 25 .

:

Zmin=gy*T

Zcp= Zmin*0.5*Ztek

Zmax= Zmin+Ztek

979.6*25=24490

Zmin=979.6*2=1959.2

Zcp=1920+7836.8/2=5877.6

Zmax=7836.8+1959.2=9792


8

100 . . 8 . 280000 . 310000 . 105. 4 . , . , 1 90 , 80 .

:

=(F1+F2)/W

=/; = /; = *

=280000/310000=0,9 ()

=4000/2*8*(365-105)=0,96 ( )

=0,9*0,96=0,864 ( , )

=(90+80)/100=1,7 ( .2)


9

. 28000 . 700 ., 1200 . 3 1400 ., 4 800 . 200 ., 500 ., 1000 . : : 15 . , : 10 . , : 20 . . : 2000 ., . : 1500 ., . : 800 . 5 .

:

=1/ ; =/.; =../

. = ..+(*n1)/100-(12- n2)/12

=2800+700*9/12+1200*6/12+1400*3/12-(200*9/12+500*3/12+0)=2800+525+600+350-(150+125)=4250-175=3975

=15*2000+10*1500+20+800=30000+15000+16000=51000

= 51000/3975=12,8

= 1/12,8=0,078

=3975/5= 795


1 . , 900000, . . 126000. 1/10, 1/6 . , . .

= 126000

F = 126000*10 = 1260000

= 1260000/6 = 210000 1/6

= 210000- 126000 = 84000

= 1000000 900000 = 100000

= 100000- 100000*25/100 = 75000

= TR-TC = 1000000- 984000 = 16000

= 16000 16000*25/100 = 12000

. 1 200 . . 1 130 ., 2 90 ., 3 45 . 1,6, 2,55 .

= /. = 2,55

= 130+90+45/200 = 1,28

= / = 1,6/1,28 = 1,25

= 1,25*2,55 = 3,19

= 3,19 2,55 = 0,64


10

3 . (. .): 1 .- 497, 2 . 346, 3 .-520. (. .) 1 14 ., 2 12,4, 3 18,5. (. ./) 1 . 13,5, 2 . 14,5, 3 .- 11,2.

:

=../ . = *

. =13,5*16=216 . . -1 .

2 -=14,5*12,4=179,8 .

3 =11,2*18,5=207,2 .

=../; =/.; =../

1=497000000/216000=2300,9

2=346000000/179800=1924.4

3=520000000/207200=2509,7

11.

. - - , 1 40 . 100 . 8 . 2 300 . 10 %. 3 . 0.85.

:

8*2*300=4320. =259200 .

300 40

. 259200

=1944000 .

=1652400

= **

= 3 =1,5*100=150

=1944


12.

. , 20 8 10 . . 85 . , 35 . 20 . . 365 . 276 . 250 , 8 .

:

20*85*2=3400

8*35*2=560

10*20=200

m=85+35+20=140 .

=((20+8)*2*8+10*8)*250-365*(20+8)-276*10=119020

=119,02/140=0,85

13.

2 8 . 500 . 1 60, 1.07 50 . 260. 5%. 4 . 7500 . . .

8*2=16

=500+60/12-50*6/12=520

=520*4*2*8*260*0,95=8220160

7500000/8220160=0,91


14.

22 . 30 , 2 8 . 247 . 3%. 0,89. . .

242*16=3872-116=3756

22*3756*2*0,89=147084,96

=165264

 

15.

8.5 . . -300 ., -180 ., -450 . -10.5 ,-25,-14.5 . 1 35 . . 265 . ., 3 .

:

300*10,5+180*25+450*14,5+265=13440

=38 . .

=/

13440/38=353

13175/35=376


 

17.

. . . 2 . 1 450 . 2 8 . 4 . 4 , 4 3 . 1 . -12,5 , .-15,8 , .-9,3 . . -5,3 , .-10,2 , .-5,5 . 106. 6. 6 .

:

=∑ni*ti/K

=/

=247*16+6*12=4024

=4024*0,96=3863,04

Mn=3863*4=15452

Mn=3863*4=15452

Mn=3863*3=11559

Mn=1000*12,5+450*5,3/1,25=11,908

Mn=1000*15,8+450*10,2/1,2=16991

Mn=1000*9,3+450*5,5/1,2=9812

=11908/15452=0,77

=16991/15452=1,1

=9812/11559=0,85


18.

. 52 . . . 8% . 130 . . 2.4 . 1 . . .

=*.

=/.

.=/

.=52000/0.08=650000

=/650000

2.4=(+130000)*650000

+130000=2.4*650000

=1430000

.=1430000/650000=2.2

19.

20 . 1 0.6 . - 8 . . 110. 3%. 0.9. .

=**

=/

=(365-110)*2*8(100-3)/100=4080*0.97=3957.6

=20*3957.6*1.66=1313920

=1.66

=*

=1313920*0.9=118252.8

20.

, 70 1 , 50-2, 20-3

:

=F1+F2+F3/W 70 - 1 , 50*2=100 2 , 20*3=60 3

=70+100+60/140=1,64

21.

=120 . .,=50, =240 . =30 , =48,=16. 11200000 . =6,5 . . 1.03 61500 , 1.09 73000 1.12 120000. .

:

=/..

.=..+*n1/12-(12-n2)/12=6500000+(61500*10)/12-(73000*4)/12+120000/12=6500000+51250-24333,33+10000=6536916,67

=120*30+50*48+240*16=3600+2400+3840=9840

=9,840/6,5369=1,5

=1/1,5=0,6

=9840/11200=0,88


22.

., , , .. 1 , , , ., . 1 . ..=15000000 1 4750000, 2 4 , 3 6,25 . 1,2 ., 1 . 1 1,25%, 2 6,25%, 3 3,75%. 770 ., 16 . ., 5600 , 4200 . 20 ., 30 .

:

.=..+*n1/12-(12-n2)/12=15000000+(1200000*10)/12-(1000000*7)/12=15000000+1000000-583333=15,4 .

=/.

=16/15,4=1,03

= ./=15,4/16=0,96

= ./=15,4/770=20000

=/.=4200/5600=0,75

.=/..=30/20=1,5.

= *

=0,75*0,66=0,5025

r=Ha* .=0,0125*4750000+0,0625*4000000+0,0375*6250000=543375

r.=4200/4=1050( 1 )

1050/3=350() 1

1050/(1/2)=2100()

r=543375/2100=258,75

23.

2660 .,31.01 220 . 1.07 160 . 1.09 360 . 6%

:

.=..+*n1/12-(12-n2)/12

.=2660

=220

n1=9

=160 n2=3

=360

n3=3

.=2660000+(220000*9/12)+(360000*4/12)-(160000*6/12)=2660000+165000+120000=2825 .

 

24.

. 15000 . 1200 . 6 50%, 65%. 15%.

:

: = + +

= 15000+1200=16200 ()

:

=*

=(15000*0,5+15000)+(1200*0,65+1200)=244800.

 

.

1.

, , 8 , 2 . 960 , 2%. 25 .

:

Zmin = q1* T ( = * )

Zcp = Zmin + ½ * Z

Zmax = Z + Zmin

960 98 =(960*100)/98 = 979,6

100

Zmin = 979,6 * 2 = 1959,2 ()

Z = 979,6 * 8 = 7836,8 ()

Zmax = 7836,8 + 1959,2 = 9796 ()

Zcp= 1959,2 + ½ * 7836,8 = 5877,6 ()

q = 9796 * 25 = 244900 ()

 


2.()

. ( ) 4- .

:

, . .: 1. - 2400; 2. 1500; 3. 240; 4. 150.

: 1. 3 ; 2. 2 ; 3. 4 ; 4. 2 .

: 1. 40 ; 2. 30 ; 3. - 26 ; 4. - 16 .

4- 30% . 1 , . 50% .

:

= + + +

1. 40+3+(40*0,5)+1 = 64

2. 30+2+1+15 = 48

3. 26+4+1+13 = 44

4. 16+2+1+8 = 27

N.. = qg * T.

qg = q/

N. = ((2400*0,3)/90)*64 = 512 . .

N. = ((1500*0,3)/90)*48 = 240 . .

N. = ((240*0,3)/90)*44 = 35,2 . .

N. = ((150*0,3)/90)*27 = 13,5 . .

= 512+240+35,2+13,5 = 800,7 . .

3.

. 2 . 250 . ., 90. 32 . 16. 200 .. . 5 . 3 . 1 . 800 . . 1 .

:

N.. = qg * T.

N.. = (2250000/90)*32 = 800000

N.. = (16200000/90)*5 = 900000

N.. = (1800000/90)*1 = 20000

N.. = (16200000/90)*3 = 540000

= 800000+900000+20000+540000 = 2260000 .

 


4.

. . 2 . 250 . ., - 90. 8 . 16. 200 .. . 5 . 3 . 1 . 800 . . 1 .

:

N = N. +N +N..

N.. = qg * T.

1). qg = 2250000/90 = 25000 .

.. = 8

N.. = 25000*8 = 200000 .

2). qg = 16200000/90 = 180000 .

. = 5+3 = 8

N.. = 180000*8 = 1440000 .

3). qg = 1800000/90 = 20000 .

N.. = 20000 .

= 20000 + 1440000 + 200000 = 1660000 .

 


5 ().

1 , , 50 . 2%.

: 1). (.): 350; 800; 1100; 2). 1 (): 80; 45; 30; 3). : 5%; 6%; 8%.

:

N = 80*5% = 76 ()

N = 45*6% = 42,3 ()

N = 30*8% = 27,6 ()

N = 76*350 = 26600

N = 42,3*800 = 33840

N = 27,6*1100 = 30360

∑ N = 90800 = 90,8

N = (90,8/360)*50 = 12,6

. = (1+0,02)*350 = 357 .

. = 1,02*800 = 816

= 1,02*1100 = 1122 .

 


5.

295 . 3260 . 360 . 18%. .

:

= / .

. . = 3260/295 = 11,05-

.. = 3846,8/360 = 10,7- .

3260*0,18 + 3260 = 3846,8.

.

 

6.

1050. 25% . 20%. , 4 1100 .

1050 75%

1 100%

1 = 1400

1050 80%

2 100%

2 = 1312,5

(1 2)*n = (1400-1312,5)*1100 = 96250 .

 

 

7.()

.

:

, ..: 100; 180; 30;

,..: 10; - 12; 5;

, ..: 30; 20; 10;

: 4; 4; 10.

:


Δ = ..2 ..1

..2 -

..1

.. = / ..

1). .. = 100/10 =10

2). .. = 180/12 =15

3). .. = 30/5 = 6

. = ./.

1). . = 360/10 = 36

2). . = 360/15 = 24

3). . = 360/6 = 60

. = .

1). . = 36 4 = 32

2). . = 24 4 = 20

3). . =60 10 = 50

.. = / ..

360/ = 32

32 = 360

= 11,25

360/ = 20

20 = 360

= 18

360/ = 50

50 = 360

= 7,2

= (100+30)/11,25 = 11,56

= (180+20)/18 = 11,11

= (30+10)/7,2 = 5,56

Δ = 11,5 10 = 1,56

Δ = 11,1 12 = - 0,89

Δ = 5,56 5 = 0,56

Δ = 1,56 + 0,56 - 0,89 = 1,1.


 

 


8.

. 1 112. 1200 ., 1 . 2 , 40% . 95 .

:

= + + + .

N.. = 90+90*0,4+2 = 128

1200/4 = 300 (.) .

300*112 = 33600 () .

373,33*128 = 47786,24 .

. = / = 95/112 = 0,848.

 

9.

1 . 560 . . 960 . . 20%, 10%. ?

:

1560000*0,2 + 1560000 = 1872000 . - .

960000*1,1 = 1056000 . .

. = ./.

. = / ..

. = (.* ..)/

. = (360*960000)/1560000 = 222 .

. = (360*1056000)/1872000 = 203 - .

222 203 = 19.

10.()

10 . ., 2 . ., 6 . . , :

: 3 , 1 , 4 ;

, : 1, 1, 2;

: 3, (-), 2;

: 20, 7, 30;

: 10, (-), 15.

:

: 3+1+20+10 = 37

: 1+1+7 = 9

: 4+2+2+30+15 = 53

.. = (*.)/.

.. = (10000*37)/90 = 4111

.. = (2000*9)/90 = 200

.. = (6000*53)/90 = 3529,8

= 4111 + 200 ++3529,8 = 7840,8.

11.

. - 3000 . . . - 6000 ., . . . 0,4 . , 5 .

:

N.. = Sg * T.*..

.. = (1+)/2

.

.. = (1+0,4)/2 = 1,4/2 = 0,7

Sg = (6000+3000)/180 = 100000

N.. = 0,7*100000*5 = 350000.

12.

4 : 500 , 200 , 900 . 15%. , : 450 , 250 , 920 . : 120 ./., ./ ., 80 ./. () .

:

: : Δ . = 450 500 = - 50. .

: Δ = 250 200 = 50.

: Δ = 920 900 = 20. .

-50*120 = -6000 .

50*70 = 3500 .

20*80 = 1600 .-

Δ = 5100 6000 = -900 . -

: : Δ . = 450*1,15 = 517,5

517,5 500 = 17,5.

: Δ . = 250*1,15 = 287,5

287,5 200 = 87,5.

: Δ . = 920*1,15 = 1058

1058 900 = 158.

Δ . = 120*(-125) = 70*20 = 80*(-115) = - 20865 .

 


13.

, (). 1. 400 . ., 2 . 800 . 15%, 7%.

:

1). . = / .. = 2,8/1,4 = 2

2,8*1,15 = 3,22

1,4*1,07 = 1,498

2). 3,22/1,498 = 2,15

(2,15-2)/2 = 0,075()

1,86 ..

3). 360/2 = 180

360/2,15 = 167,5

180 167,5 = 12,5 . 1 .

Δ . = (3,22/2,15) (3,22/2) = -112 . .()

1,4*1,07 = 1,49

Δ .. = ./ .. - ./ .

3,22/2 = 1,61. 1,49 = 0,12

 


14.

.

: : 1- 8640 ., 2- 6480 ., 25920 .;

..: 1- 30 , 2- 36 , 24 ;

..: 1- 28 , 2- 32 , 21 .

:

Δ .. = (25920*(24-21))/360 = 216

Δ .. = (8640*(30-28))/360 = 48

Δ .. = (6480*(36-32))/360 = 72

216 + 72 + 48 = 336 .

 

15.

900 . . 180 . . 14%, 12 . .

:

. = 900*1,14 = 1026

. = (360*180)/900 = 72

. = 12*72 = 60

.. = (1026*60)/360 = 171

Δ .. = 180 171 = 9 ..

 

 


16.

, , 4500 . ., 1,5 . . 11% 1 10 . .

:

. = / ..

. = 4,5/1,5 = 3

. = ./.

. = 360/3 = 120 .

: 4,5*1,11 = 4,995 .

. = 120 10 = 110

. = 360/110 = 3,27

.. = 4,995/3,27 = 1,527

Δ . = 1,527 1,5 = 0,027 (. .)

Δ . = 1,527 ((1,5*4,995)/4,5) = 0,138 (. .)

 


17.

1 2 , - 4 3 . . 500 . 1 1460 /, 2500/. - 180, - 25. . . .

500* 1 *180/(0,8)=112500

2 *25/(0,85)=29411,76

 

* 43 *30/(0,6)=100000

3 *10/(0,6)=25000

180=0,8

=1

..= ./ .= ./ .

.= . .* .

.= ./ . .

.

225 45

29,4 4,4

50 20

16,7 6,7

= (435+4,42)*500=26,95

=(20*4+6,7*3)*500=50,05

1 .=(225+29,4*2)1460/1000+(50*4+16,7*3)*2500/1000=1039,55

- . 1 .

. .= ./ .

Q ()=141911,76

Q()= 90000+25000=115000

: 141911,76- 115000=26911,76

Q()=125000

Q()=60000+15000=75000

:50000

: (225+58,8)*1,460+(200+50)*2,5=414,38+625=1039,38

: -26,91176

-50

-1039,38.

18

, . , ,

6000 5800 1200 20 15 1850

2000 1680 800 25 15 1100

= 630000 =19

= +

= *=20000*20=400000

= *Q/=1200*6000/360=20000

= 800*2000/360=4444,4

= 4444,4*25=111110

= 400000*1,15=460000

= 111110 * 1,15=127776,5

=460000+127776,5=587776,5

=*=630000*19=11970000

=(5800*1850+1680*1100)/587776,5=21,4

=587716,5*21,4=12578417

=630000-587776,5=42223,5

=630000*(12578417/11970000) 587776,5 = 74223,5

 

1

(.) , : . - 8520.., - 9240.. ()=1,500. 68%, -70%. . 9%.

:

.=0,68*1500=1020.

8520-1020.

1=8,353.

8,353-/8,353*100%=9%

8,353-/8,353=-0,09

8,353-=-0,09*8,353

=8,353+0,09*8,353=9,105/.

1-9,105

-9240

=1014 . -70%

-100%

=1449,7(1450)

: ()=1050

 


2.

. . . . , . . .-0,8.

-1,2

-1,6

400 90

40 100

20 150

160 170

:

=400*0,8+1,2*40+1,6*20=400 .

=400../160 =2,5/

()=90*0,8+1,2*100+1,6*150=432. .

=432 . ./170=2,54 /

1 .. -1 .

1,5 . - 1 .

2 . -1

.()=400+1,5*40+20*2=500..

=500/160=3,125

.()= 90+1,5*100+150*2=540 .

=540/170=3,1765 ./

3,125-3,1766/3,1258100%=-1,648.

: 1,65%

 


4.

, . . 870 .. 3%. . 2100., 75 .

:

()=870.

()=1,03*870=896,1 ..

..=2100

.=2025

()=870/2100=0,414286../.

()=896,1/2025=0,442519../.

∆=0,414286-0,442519/0,414286*100%= -6,8%

: 6,8%

5

- - . , 20% , 1 % 1,5 %. 21 8 . 6 % . 2,45.

: =2,45*21*8* (1+(20+1,5*6)/100)= 411,6* 1,29=530,96.

 

 


6

- . 120 , 100, 1 12 ., . .- 1,3.

: 100*12=1200., 12*1,3=15,6, 20*15,6=312, 1200+ 312=1512,875.

7

: 4- 17,2 /, 5- 19,4, 6- 22 /.

, 6- , 2- 5- 1 4- . 250 8- . 18 5100 . 25% 1,5% . . 10% .

: =∑Piqi(1+ (P+kn/100)

P=m/ =22/35=0,63.

=22*5100(1+(25+1,5*13)/100)=1112,65*1,1=1223,915

=0,7*5100*1,55=5533,5

=19,4*8/250*5100*1,45=5484,9

=0,55*5100*1,45=4067,25.

 

8

 

, 20%, 15%, 1- .

: = m-=1,15*0,8=0,92.

9

7500 , 2 , 13,5 \. . 839160 ., 296.

= Piqi. Pi= m/

839160\296=2835\2=1417,5

Pi= 1417,5\13,5= 105

= 105*7500=787500.

 


10.

.

:

4 50000 ./

5 24000 ./

6 - 30800 ./

10 . . 20% . . 6 ./. 20 . 600 . . 265 , 8 .

:

4 = 5,35 /

5 = 6,78 /

6 = 7,64 /

= 8 *265 = 2120 /

t = 50 + 74 + 30,8 = 154800 ./

. = 154800/2120 = 73

4 = 50000/2120 = 24

5 = 74000/2120 = 35

6 = 30800/2120 = 14

20 * 600 = 12000

(4) = 50000* 5,85 = 292500

(5) = 74000* 6,87 = 501720

(6) = 30800* 7,64 = 235312

20 * 600 = 12000

265*8*10*0,2*6 = 25440

= 292500 + 501720 + 235312 + 12000 + 25440 = 1066972 .

 


11

18 . 15 . .

20%

16.66

= N/T; t = T/N

1= 1/18; 2=1/15; 1/15:1/18=1.2%

20%

t1=18; t 2=15

(15/18=0.84)*100%= 84%

100 84=16%

16%

12

1 , 48 . 500 . 1 54 48 .

1 2080 . 1.2.

= t/ * . .

= ∑t*m/ * . .

t= 48500*0.9=43650

t 1 = 48500*0.8= 38800

0 = 43650/2080*1.2=18; 1 = 38800/2080*1.2=16

0 = 48500/18=2694; 1 = 48500/16=3031

: = 2

= 337


13

, 1 1860 .

. . 1.1; : 1000 ;

360 .; 2400 .;

1 : - 75 -; 400; 100;

= t(t*m)/ * . .

t: = 1000*75=75000

-=360*400=144000

=2400*100=240000=240000

= 75000+144000+240000/1860*1.1= 225 .

14

:

1 150

2 200

3 400

4 - 550

5 350

6 100

16 , 2 1 , 3 -2 , 3 . 3 ; 4 4 ;3 5 ; . 6 .

, ?

= 3.6

V. = 1150+2*200+3*400+4*550+5*350+6*100/150+200+400+550+350+100=3.6

V= 2*1+3*2+3*3+4*4+3*5+1*6/16=3.38


15

, :

60 . .

1 . :

10 .; 17 .; 8 .; 6 .; 16 ..

1.04. . 1 1800 . 30 % .

= t/ * . .

= 1800*1.04

. = 60000*10/1800*1.04= 321

= 60000/1800*1.04*17= 545

=257

= 193

1316*1.3=1710.8

16

1 , , 245 ; 300 . . 48 . 600 . , 1715 .

0 = 48.6/0= 0.3 0 = 162

1 = 48.6/(162- 1715/245) = 313548

∆=\ 13548 (313548 300000).

17

-=455, 8 . - . 22 . , 1 . 7 . 4 ,1 . . - 35% . \ -. 1)21*8=168.2)168+7=175-. 3)455/175=2,6\. 4)3*8=24. 5)24+7=31. 6)175-31=144- . 7)144*2,6=374,4. 8)374,4*1,35=505,44

18

. \ - - . 20% , % 1,5%. 21 8 . 6%. 490.

1) ( )=4,90*168(1+(20%+1,5%*6%)\100)=1061,928

19.

IV ( 6,7 \) 350 \.. 1- 30 . 410 . : 10%- 1,5 , 10%- 2 . .

2 .1)350/2=175 - 350 ;2)175*6,7=1172,5;3)350*0,1=35;4)35*0,5*6,7*1,5=175,875;5)410-350=60;6)60-35=25;7)25*0,5*6,7*2=167,5;8)=1172,5+175,875+167,5=1515,875.

20.

, 5 2 . . 15 . \ 10%. . :-1,5;-1; -0,7.\ .

1)1*1,5+1*5+0,7*2=7,9;2)15000*1,1=16500;3)16500/7,9=2088,6;4)2088,6*1,5=3132,9;5)2088,6*0,7=1462,02.

21.

75 5- ( 1- =2,8\,- 5- =1,5) 670. . 1- =12. -. 15% . . 10% \. .

1)2,8*1,5=4,2\;2). =4,2\5=0,84;3)=670000*0,84+670000*0,84*0,15=647220;4)=64722;

5)=(647220+64722)\75=9500.


22.

. 22 . 2 2 . 8 .=7 .=6 . 18 . 1 . . . =35%. 5100.

1)=2*7+18*8+2*6=170;2) =5100\170=30\;3) =30*2=60\;4)=16*8*30+1*7*30+1*6*60=4410;

5) =4410*1,35=595,35.

23.

: IV - 17,2 /, V - 19,4 /, VI - 22 /. : VI- , 2 V-, 1 IV-. 250 8- . - 18 . 5100 . 10% , 25%, 1,5% /. / / . : IV=8/250*17,2=0,55 /; V=8/250*19,4=0,6208 /; VI=8/250*22=0,704/. = 5100*0,704=3590,4; V- = 5100*0,6208=3166,08; IV = 5100*0,55=2805. = 250*18=4500, : 5100-4500=600. : 0,704*0,1*5100=359,04.


24.

/ - - . 120 , 100. - 12 . 1,3. : 100*12=1200 , 20*12*1,3=312 . 1200+312=1512 .

25.

65 . - 0,2 1 . IV. 1- - 3,5 . - 4- - 1,38. 2640 . - 4-. 1- - 3,2 . - - 1,38. 7 - 8 . - - 520 , - 380. / - 45%, - 30%. - 22. 1 8 . 1,3. / .65000/5 =13000. /=13000*3,5*1,38=62790. /=2640*3,2*1,38=11658,24. /: /=(62790+11658,24)*0,45=33501,708. (520*7+380*8)*1,3=8684. 22*8*5=880. 880*1,3=1144. =65000/1144=57, =2640/176=15. / =(62790+11658,24+33501,708)/(57+15)=1499,3 . = 520*7*1,3=4732. = 380*8*1,3=3952. (4732+3952)/15=572,93.


26.

. 1 1860 . - 1,1. - : - 1000, - 360, - 2400. 1 : - 75 , - 400, - 100. 1000*75+360*400+2400*100=75000+144000+240000=459000. =459000/(1860*1,1)=459000/2046=224,34=225.

27.

, , 1 . 48 500 . 1 54 48 . 1 2080 . - - 1,2. : 54/60=0,9, 48/60=0,8. t1=48500*0,9=43650, t2=48500*0,8=38800,? t=43650-38800=4850. 1=43650/(2080*1,2)=43650/2496=18, 2=38800/2496=16, 1- 2=18-16=2. 48500/18-48500/16=332.

1. 1 385 352 . 0,5 /. 8 /. - 1,3. - -.

 

: . = + ǒ*( - 1)

pi = mu * t = 8*0,5 = 4

. = 385*4 +(33*4)*(1,3-1) = 1579,6 .

 


2. . - 6 , 2 5 1 4 . 250 /. 18 5100 . . 25% 1,5% % . 10%. 6 10 /, 5 8,5 /, 4 - 7 /. / .

:

1 : pi = mu / nu =

= 250*18 = 4500

0,32*5100 = 1632

1: 1632*0,25 = 408

2: 1632*0,133*1,5 = 325,58

1632*0,1 = 163,2

/ 6 = 1632+408+325,58+163,2 = 2528,78

2 :

..=

1 5: pi = mu / nu =

0,27*5100 = 1377

1: 1377*0,25 = 344,25

2: 1377*0,133*1,5 = 274,71

/ 5 = 1377+344,25+274,71 = 1995,96

1 4: pi = mu / nu =

0,22*5100 = 1122

1: 1122*0,25 = 280,5

2: 1122*0,133*1,5 = 223,84

/ 4 = 1626,34 .

= 8147,04

 


3. 1 , 5 2 . 50000 . 10%. 1,1, 1, 0,9. / .

: 50000*1,1 = 55000

= 1,1+5*1+2*0,9 =7,9

55000 / 7,9 = 6962,03

: 6962,03*1,1 = 7658,19

: 6962,03*1 = 6962,03

: 6962,03*0,9 = 6265,83

 

4. / - - . 4 . 230 42 / 1 . 261 . > < 10% - 1,3%, > 10% - 1,6%. 4 12,3 /.

 

: pi = 12,3*42 = 12,3*0,7 = 8,61

230 100%

10% à = 23

261-230 = 31 31-23 = 8

. = 230*8,61 + 23*8,61*1,3 + 8*8,61*1,6 =2347,95

 


4. - . 1- 1860 , 1,1

. -, . . . , /.
   
   
   

.= .=

 

5.

- 1- -
     
     
     

 

 


6. 65000 , 1- 0,2 , . - -4.



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