.r' R=.rrsr.,,.r -Iea-r &o tr.
Kerry-Anne buys a car for R4!L 000. she secures a loan ,, ,n intr*rt
rate of 7,5'/" p.a. compounoffiilg. The monthly instalrnent is
@she pays the first instaF6t one month after the roan was
secured.
.1 convert the above nominal rate to an annuateffective interest
rate.
(2)
.2 The car depreciates at r a/a p.a.on a reducing balance. After 3
years its value is RZS2 000. Calculate r . (3)
.3 How many payments will it take to repay the loan?
(5)
.4 Calculate the finalpayment.
(5)
Q.r.rE.i,-Iroru a
@),jputrick opens a savings account on I January ?012. He makes an immediate
' payment of R? 000 into rhe account and thereafiter a monrhly payment
of
Rl 200 at thc end of each month.
The last payrnent is made on 3l December 2013. Inreresf is calculated ar ll?i ner
year. compounded monrhly.
.l Calculate tlie value of Patrick's investment on 31 December 2013,
rs)
. .2 Panick decidcs not to rvithdraw the money ou 3l l)ccembcr ?013. l{c
fnakei no funher P0ynlents ancl ihe invesUnent earns the siune intere$t
rate.
'Calculare the value of &e investmenr on 31 May 2014. (3)
{b) Lilly ol'Rl4&pp, She rcpays ihe toan by means of
takcs out a loan to the value
equal monthly iastatnerrts rvhich she mfies at the end otteach month. The tirst
instalment is nrarie ttrree monrhs after the granting oiGlGii.s-fl-trthe last
--.-.--
instalmenr is eight y@iran.
Thc intercst ratc is I5l.{, ncr )/car, compoundcd monthly.
Calculare the value ol'the equal monthly instalnrenfs.
\,C (si
2 Convert thc interest ratc to an cffective intercst ratc. roundcd to two
decinral places.
lil
, Qr.rEq=Ttot.l S
In the diagram alongsidg O is the c€nre
ofcircle ABCD.
M isthemidpoint ofAD.
.
N is apoinr on AB.
ONIAB T
MOB is a sraightline.
A :-1,
hoveSnt:
C.i) ANOMisacplic quadrilaterat (4)
.4A
tur or=c (3)
G) Ivmbisectsaio
\r A
(4)
given &at oBcD is a rhombug calculate, with reasoas,
.W l}ilt ry- rlre mrmericai
{s)
tl4
i
, I -. -
':
Kerry-Anne buys a car for R4!L 000. she secures a loan ,, ,n intr*rt
rate of 7,5'/" p.a. compounoffiilg. The monthly instalrnent is
@she pays the first instaF6t one month after the roan was
secured.
.1 convert the above nominal rate to an annuateffective interest
rate.
(2)
.2 The car depreciates at r a/a p.a.on a reducing balance. After 3
years its value is RZS2 000. Calculate r . (3)
.3 How many payments will it take to repay the loan?
(5)
.4 Calculate the finalpayment.
(5)
Q.r.rE.i,-Iroru a
@),jputrick opens a savings account on I January ?012. He makes an immediate
' payment of R? 000 into rhe account and thereafiter a monrhly payment
of
Rl 200 at thc end of each month.
The last payrnent is made on 3l December 2013. Inreresf is calculated ar ll?i ner
year. compounded monrhly.
.l Calculate tlie value of Patrick's investment on 31 December 2013,
rs)
. .2 Panick decidcs not to rvithdraw the money ou 3l l)ccembcr ?013. l{c
fnakei no funher P0ynlents ancl ihe invesUnent earns the siune intere$t
rate.
'Calculare the value of &e investmenr on 31 May 2014. (3)
{b) Lilly ol'Rl4&pp, She rcpays ihe toan by means of
takcs out a loan to the value
equal monthly iastatnerrts rvhich she mfies at the end otteach month. The tirst
instalment is nrarie ttrree monrhs after the granting oiGlGii.s-fl-trthe last
--.-.--
instalmenr is eight y@iran.
Thc intercst ratc is I5l.{, ncr )/car, compoundcd monthly.
Calculare the value ol'the equal monthly instalnrenfs.
\,C (si
2 Convert thc interest ratc to an cffective intercst ratc. roundcd to two
decinral places.
lil
, Qr.rEq=Ttot.l S
In the diagram alongsidg O is the c€nre
ofcircle ABCD.
M isthemidpoint ofAD.
.
N is apoinr on AB.
ONIAB T
MOB is a sraightline.
A :-1,
hoveSnt:
C.i) ANOMisacplic quadrilaterat (4)
.4A
tur or=c (3)
G) Ivmbisectsaio
\r A
(4)
given &at oBcD is a rhombug calculate, with reasoas,
.W l}ilt ry- rlre mrmericai
{s)
tl4
i
, I -. -
':
