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Vorlesungsmitschrift Einführung Mathematik (Aufgaben)
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187 Seiten mit detailliert bearbeiteten Aufgaben des Moduls Einführung Mathematik mit Matthias Ross in Hamburg
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MatheEinführung
, Übungsaufgaben :
K 1000 E t 9 Jahre
Aufgabe 1:
i 4 , 34 %
= :
=
=
1000 (1 + 0. 0434)" =
74E
11465 .
Aufgabe 2: t =
6 Jahre i = 4 2%
.
Kn = 8000t
Ko (1 + 4 2%
.
) = 000 1 : 8000
8000 : (1 + 4, 2 % 15 =
6250 ,
05 E
Ko =
16250
05 E ,
Ko
Aufgabe 3 : =
100E t =
BJahre Kn = 1277 75E
.
i =
1100(1 + i)8 = 1277 , 75 1 : 100
(1 + i)8 =
1, 16598 18
1+ i =
1, 0189 1 -
1
[ = 1, 89 %
=
,Aufgabe 4: Ko = 400 + i = 3 19,
% 10 = 583 06 ,
400 (1 + 3 , 19 % )" = 583 06 ,
1 : 400
45765/lognons g
45765)
(1 3, 19 % )"
,
+ =
1 ,
n = 12 Jahre
>
-
Aufgabe 5 :
am 11 82.
=
1000 =) i = 1 63 %
,
11 02.
21 11. .
280
Tage
1000 (1 + 1, 63 % ) . =
1012 , 67E
=
Aufgabe 6 :
20 09 21 2025
06 02 31
. .
29
.
26
.
I I I I
I I I I I
D
18000 E D D
16 % 2, 4 %
.
4, 4 %
360 -
268 + 1
18000 (1 + 1, 4 %
-
360 = 18065 ,
10 E 65, 10
we
18000 (1 + 1 4%
,
)" =
19029 37 ,
: 1029 37 .
10000 (1 + 2, 4 % )" =
19791 ,
21 1791 21 .
18000 (1 + 4 4 , %1 =
18792192E
, %.
4Ö
Alte . 4 =
1827E
% 1) ( ( 24
8 +
+ 1, 4 %
18000 (1
+
+ 1 4
.
·
(1 + 4, 4 % ) .
(1 + 4, 4 %.) 22
2016 40 =
,
Aufgabe 7:
-5000
17 05 2021 25 28 26 0 8 32
.
.
.
29
. .
24
I I ↓ I I I I I I I
D D D
0 ,73 % 1173 % 3 , 73 %
5000 (1 + 0 . 73 %· 350-137) (1 ·
+ 0, 73 ( .
+ 1 , 73
·
(1 + 3 , 73)3 .
(1 + 3 , 73 %7) = 6285 967 ,
Aufgabe 8 :
181 Tage
D
01 . 07 . 21 40 =
5000 E i : 2 1%,
-
01 07.
.
28
*
181 Tage
6Jahre
5000 (1 + 2 , 1 %· 181 1)
+
:
(1 + 21 %o + 21 %
#
568) =
5783 50 ,
=
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