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ALLE OEFENINGEN VAN WERKCOLLEGES UITGEWERKT

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Alle uitgewerkte oefeningen uit de werkcolleges.

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  • December 23, 2024
  • 38
  • 2024/2025
  • Class notes
  • Philippe carette
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·




WLa

Oef 1 .
2


R 2000
geg
: =




i = 0 ,
06




a) gun : wate tijd a 182-110 = 72 d




ope :
* Gewone intrest o t = =21360


2 k S
.
= k -
i -
A =
2000 -
0 . 06 -




* Exacte intrest : t = =21365

2 k = k -
i .
A =
2000 -
0 , 06 . Et = 23 , 67
365




b) gen : benaderde tijd 10 + 30 + 30 + h =
In d




* Gewone intrest o /360
ope :




. 23
24 =
k -
i .
t = 200 -
0 06 =
.




* Exacte intrest


24 =
k -
i .
t = 2000 -
0
.
06
.
=
23


of .
1 10 .




geg
:
Kn = 233 , 64 An = 4112 : 113


Kr = 235 , 92 An =I 12




i
ge :




E
al :
Kn = R(1 + ith) (n)

42 = k(1 + ita) (2)




t
M =
Het it
k(1 + i t 2)


·
Knitital =
Kalstital

=> Kn + Knite = Kate it

Er Knitz-Kf .
itn =
Ka-kn

i (Knita-K2 An) . =
Ka- kn


in in
K2 "239
· i = :
goyo
1 en/




Oef .
1 .
13

: i 06
geg 0
=
.




k = 242


wissel vervalt
de
Godagen60

R
gen
:




k = k) + it)

-R = K - 242 = 239 , 249
n+i t . 07
n+ 0
.
.

,Oef .
1 .
As wissel-fromebse I zie dagnummers!
114
alla 400 112
↓ ↓ 1 =
R
kerdisconteren
-
oprenten
: R 2975
geg
=




i
=
= 0, 05 in = 0 ,
06


t = 8
12




(

gen : R


:
ope
k =
R(1 + it) =


2975( + 005
. 8 = 3074 ,



R'(n it) k
=
k = + = 3074 16 . . . 3004
,

n + 0 . 06
M
.

Oef . 1 .
17

k 990
geg
: =




d = 0. 06



t = 90
360




geen : K

k(1-dt) o
at3
ope :
k = k = R = 1005 ,

4 -



360




oef .
1 18 .




600
16160
0318
.




↓ g
En4E -148




geg A -60
:


360

R = 14E


k =
148




at geur : d


opl : k = k(1 -
dt) = = k -
Ko

Er Kat =
-R


Ej d =
k -
R -
> 148 -
145 =
0 , 0405 = 4 , 05 %
kt 148
.6

e gen : i


ol : k = e)1-it) k = k + kit


+ kit =
R + k


FU i = k -
k J
148 -
145 =
0, 0408 = 4 08 %
,

kt 147 . 60

360

, Voorbereiding WIL

Off. 1 .
19

geg : R =
2500

t =
noj
i = 8% = 0 , 08



gen : K


el :
k = r(1 + i)t = 2500/1 + 0. 08/ = 5397 , 347



Oef .
1 . 20 I per ongeluk 1 . 20
gemaakt
R 600
geg : =




i = 5% =
0 , 05



A =
5j3m -5
+32
gen : K
5 + 3 as

ol : k =
b(1 + i) = 600/n + 0 , 05)
= 575
,
17




Def . 1 21 .




R 4000 m 4 I want kwartal)
geg
: = =




n =
2, 5 % = 0, 025


A =
3j6m =
3,
5j
gens : K


ope :
K = m(n + min))
3,5
= 4000(1 + i(7) =
5654 90E
,




Oef .
1 .
23

i 8% 0 , 08
geg
: = =




t =
10j
k = 4960


gen : R


al : k = R(x + i)t
~ R = K = 4960 = 2297 , 44
(1 + i/t (1 + 0, 08710

Def .
1 . 25

M(2) = 2 , 25 %
geg :




m = 29

k = 24790


gun : R


o : k = r(1 + r(8)(4 = m))1 + i(a)2
-k = 4
((+ i(2)24

- 24790 - 9736 , 82 =

((1 + 0
, 0225/2/24

, Def .
1 28 .




geg : k = 58

k = 124

1(2) =
2 50%
,
=
0 , 0250



gebr
:




K k(1 i)t en
:
Ink-
=
+ =




124
-A = en = In 50 = 18 , 3913
en in + i/2 2 .
M(a + 0 0250/
,




18 jaan
-
0 3913 N .
= 4 , 6956 : Um
.


6956 .
30 = 240

antwoord :
18 j Im 210



Def .
1 . 29

geg : R = 250

k = 353 , 29

A = 8

i
gen :




al : k =
k(1 + i)t
=
R
Stift :1

t

-
-i


.
·

i ooutin




Off .
1 28 .




geg
:
R =
1820

K = 6042 , 80


i = 0 ,
n


A
gen :



+ - t

opl : k =
R(1 + i) = enk = en(1 + i = t = hk/k
R In 1+ i




= en/6042 80/1920/ ,



en (1 , 1)



=
12 , 5308

Hoe gron dit decimaal ?
we
getal interpreteren
·
we
kijken eerst no het gehet gedeelte : 12 o dit stelt het aantal joven wor



vervolgens kijken 5908 vermenigvuldigen de uitkomst
:
· we maar het decimaal getal 0 .
:
we dit met 12 en




stelt het wintal maanden war.


12 . 0
. 5908 = 5
,
0895

· I maanden




Tenslotte :
0 . 0895x30 : 2 , 69 :
am het aantal dagen te kennen
(altijd afronden noor boven



Antwoord :
A =
12jFm 3d

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