WISKUNDIGE GELETTERDHEID
GRAAD 11
NOG OEFENINGE
Rente - enkelvoudig en saamgesteld.
MATHEMATICAL LITERACY
GRADE 11
MORE EXERCISES
Interest - simple and compound.
Gebruik die formules vir enkelvoudige rente om die
waarde van elke letter in die tabel te bereken :
Use the formulae for
simple interest to calculate
the value of each letter :
Nommer |
Kapitaal, R |
Rentekoers, % |
Tydperk, jaar |
Rente, R |
Bedrag, R |
Antwoorde |
Number |
Capital, R |
Interest rate, % |
Time, years |
Interest, R |
Amount, R |
Answers |
1.1 |
31 450 |
3,5 |
5 |
a |
b |
A 1.1 |
1.2 |
110 600 |
12 |
3 |
c |
d |
A 1.2 |
1.3 |
1 250 |
5,5 |
2 |
e |
f |
A 1.3 |
1.4 |
14 800 |
6 |
7 |
g |
h |
A 1.4 |
1.5 |
12 500 |
25,2 |
5 |
k |
m |
A 1.5 |
1.6 |
21 400 |
9 |
3 |
n |
p |
A 1.6 |
1.7 |
6 350 |
6 |
r |
q |
7 874 |
A 1.7 |
1.8 |
128 600 |
18 |
t |
s |
186 470 |
A 1.8 |
1.9 |
840 |
5 |
v |
u |
924 |
A 1.9 |
1.10 |
39 350 |
x |
3 |
w |
49 874,50 |
A 1.10 |
1.11 |
3 800 |
z |
4 |
y |
5 624 |
A 1.11 |
1.12 |
aa |
8 |
b |
144 |
5 544 |
A 1.12 |
1.13 |
cc |
6 |
dd |
6 450 |
221 450 |
A 1.13 |
1.14 |
ee |
ff |
2,5 |
462 500 |
2 312 500 |
A 1.14 |
1.15 |
2 600 |
gg |
2 |
hh |
3 068 |
A 1.15 |
1.16 |
85 920 |
kk |
1,5 |
15 465,60 |
101 385,60 |
A 1.16 |
Bereken die bedrag wat uitbetaal word en die rente
op die belegging in elk van die volgende gevalle :
Calculate
the amount that is paid out and the
interest on the investment in each of the following cases :
Nommer |
Kapitaal, R |
Rentekoers, % |
Tydperk, jaar |
Wanneer saamgestel |
Bedrag, R |
Rente, R |
Antwoorde |
Number |
Capital, R |
Interest rate, % |
Time, years |
When compounded |
Amount, R |
Interest, R |
Answers |
2.1 |
13 250 |
4 |
3 |
jaarliks / annually |
a |
b |
A 2.1 |
2.2 |
65 000 |
8 |
4 |
jaarliks / annually |
c |
d |
A 2.2 |
2.3 |
116 000 |
12,5 |
6 |
jaarliks / annually |
e |
f |
A 2.3 |
2.4 |
12 800 |
22 |
2 |
kwartaalliks / quarterly |
g |
h |
A 2.4 |
2.5 |
60 000 |
8,5 |
4,5 |
maandeliks / monthly |
k |
m |
A 2.5 |
2.6 |
28 400 000 |
7,5 |
2,5 |
halfjaarliks / semi-annually |
n |
p |
A 2.6 |
2.7 |
82 000 |
20 |
3 |
kwartaalliks / quarterly |
q |
r |
A 2.7 |
2.8 |
1 537 000 |
15 |
1,5 |
maandeliks / monthly |
s |
t |
A 2.8 |
2.9 |
180 000 |
18 |
3,5 |
maandeliks / monthly |
u |
v |
A 2.9 |
2.10 |
2 500 600 |
8 |
4 |
halfjaarliks / semi-annually |
w |
x |
A 2.10 |
Jy wil meubels koop en kontant daarvoor betaal.
Jy wil dus R18 000,00 leen.
Die bank bied twee opsies :
Opsie I. Betaal die lening oor 18 maande teen
'n koers van 8,5% en die rente word
maandeliks saamgestel.
Opsie II : Betaal die lening oor 30 maande teen
'n koers van 10% en die rente word
kwartaalliks saamgetel.
Watter opsie is die voordeligste / goedkoper?
Toon al jou berekeninge.
A 3
You want to buy furniture and pay cash.
Thus you want to borrow R18 000,00.
The bank offers two options:
Option I. Pay the loan over 18 months at a
rate of 8,5% and the interest is
compounded monthly.
Option II : Pay the loan over 30 months at a
rate of 10% and the interest is
compounded quarterly.
Which option is the cheaper?
Show all your calculations.
A 3