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Summary Financial mathematics worksheet

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Financial mathematics worksheet with memo.

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tr R*.r',=,.r...'
&uEt-ttour l.

T*'o friends- Bongani and Rajesr-r- a.e uotl t9
starrs a.sa'ire, prog***e irr"rtirg
Rl 000atthebeginningofeachl,earfor eachofif;,d Ty** ?g:g,
rofr.ompoundinterestperantrum.

f tit poft Geyn years later)' Rajesh decides to
the beginning of each tart saviug in &e same 1!a-\', by-rorings
investing Rr 000 at
-Year at the same interest rate ir1 the hoie that.
,



f,f,ith BOngani'S. ruel v,E o"gii.
one uc'-v, uls Sa nill catch up
I




not put anJ' more money into his accourt- but
he lets nhat he has saved to this point
?r".;TI ffi etrow at l




(a) calculatehorv mucrr money Bongani has in his bank
account after 7 _\,ears. (4) i


(b) Ho,i'old rvill Rajesh be rvhen his bank barance catches up *,ith
Bongani,s. (6)



Q'..r.e.srtot ra .




'0n leaving university,
Richard a"r;ara toffi ti,*rnr*uiirn+oo ooo.'ri,
agreed to pay monthly installmentsolR5
000 on a loan which incurred interest
af74a/a p.a- compaunded rionthty. Thefirstpaymentwas
made atthe erd afthe
first manth. i. ri, 3 1- .




1 Determine the balance outstancling ott the loan tmmecliately
after the
120th paymenL


Z .Richord decider! to pay the loan oS in 22{J months,
from the mtament the
laa-n was granted, and wculd like io increase lzis paymerrs
os from the
l?]sr montlt.
Calculate the value af the new installment.




3"1 Raeesa invests R4 million into an account eaming inrerest of 60/o per arnulrl:
cornpounded arurually. Hovr much vvill her investment be rnorth at ihe end of 3 ycars? (3)

?.? Joanne invests R4 million into an account eamitg interest of 6% per aflt1urn.
compounded monthly.

!q.1 She rvithdra*'s an allov,'ancesf R30 0S0 per rnonth. The fusi withdrari.al
is exacily one month after she has deposired the R4 million. Hot'many
such withdmuals u'ill Jsarrn€ be able to make? (6)

tLD IfJoanne w'ithdlalvs R20 000 per month. horv many u'ithdrau'als rl"ill she
be able to make? tJ)
11?tr

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