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Saamgestelde depresiasie

Die tweede metode om waardevermindering te bereken is om te veronderstel dat die waarde van die bate afneem teen 'n sekere jaarlikse koers, maar dat die aanvanklike waarde van die bate hierdie jaar, is die boekwaarde van die bate aan die einde van verlede jaar.

Byvoorbeeld, as ons tweedehandse motor 'n beperkte nuttige lewensduur van 5 jaar het en dit het 'n aanvanklike waarde van R60 000 , dan is die rentekoers van waardevermindering 20% (100% / 5 jaar). Na 1 jaar, is die motor werd :

Boekwaarde na eerste jaar = P ( 1 - n × i ) = R 60 000 ( 1 - 1 × 20 % ) = R 60 000 ( 1 - 0 , 2 ) = R 60 000 ( 0 , 8 ) = R 48 000

Aan die begin van die tweede jaar is die motor se waarde nou R48 000; dus na twee jaar is die motor se waarde :

Boekwaarde na tweede jaar = P ( 1 - n × i ) = R 48 000 ( 1 - 1 × 20 % ) = R 48 000 ( 1 - 0 , 2 ) = R 48 000 ( 0 , 8 ) = R 38 400

Ons kan hierdie waardes tabelleer

Einde van eerste jaar R 60 000 ( 1 - 1 × 20 % ) =R 60 000 ( 1 - 1 × 20 % ) 1 = R48 000,00
Einde van tweede jaar R 48 000 ( 1 - 1 × 20 % ) =R 60 000 ( 1 - 1 × 20 % ) 2 = R38 400,00
Einde van derde jaar R38 400 ( 1 - 1 × 20 % ) =R 60 000 ( 1 - 1 × 20 % ) 3 = R30 720,00
Einde van vierde jaar R30 720 ( 1 - 1 × 20 % ) =R 60 000 ( 1 - 1 × 20 % ) 4 = R24 576,00
Einde van vyfde jaar R24 576 ( 1 - 1 × 20 % ) =R 60 000 ( 1 - 1 × 20 % ) 5 = R19 608,80

Ons kan nou die algemene formule vir die boekwaarde van 'n bate neerskryf indien die waardevermindering saamgesteld is.

Oorspronklike waarde - Totale waardevermindering na n jaar = P ( 1 - i ) n

Byvoorbeeld, die boekwaarde van 'n motor na twee jaar kan eenvoudig soos volg bereken word:

Boekwaarde na 2 jaar = P ( 1 - i ) n = R 60 000 ( 1 - 20 % ) 2 = R 60 000 ( 1 - 0 , 2 ) 2 = R 60 000 ( 0 , 8 ) 2 = R 38 400

soos verwag.

Let daarop dat die verskil tussen die saamgestelde rente berekeninge en saamgestelde waardevermindering berekeninge is dat terwyl die rente waarde voeg by die aanvangsbedrag, die waardeverminderingbedrag die waarde verminder!

Die Flamingo bevolking van die Bergrivier mond verminder teen 'n koers van 12% p.a. As daar nou 3 200 flaminke in die vleilande van die Bergrivier mond is, hoeveel sal daar wees na 5 jaar? Beantwoord tot drie beduidende syfers.

  1. P = R 3 200 i = 0 , 12 n = 5 A word gevra
  2. A = 3 200 ( 1 - 0 , 12 ) 5
  3. A = 3 200 ( 0 , 88 ) 5 = 3 200 × 0 , 527731916 = 1688 , 742134
  4. Daar sal ongeveer 1690 flaminke na 5 jaar wees

Saamgestelde waardevermindering

Farmer Brown koop 'n trekker vir R250 000 en dit verminder in waarde teen 20% per jaar saamgestelde waardevermindering . Wat is die gedepresieerde waarde van die trekker na 5 jaar?

    Oplossing

  1. P = R 250 000 i = 0 , 2 n = 5 A word gevra
  2. A = 250 000 ( 1 - 0 , 2 ) 5
  3. A = 250 000 ( 0 , 8 ) 5 = 250 000 × 0 , 32768 = 81 920
  4. Verminderde waarde na 5 jaar is R81 920

Saamgestelde waardevermindering

  1. Op 1 Januarie 2008 is die waarde van my Kia Sorento R320 000. Elke jaar daarna, sal die motor se waarde verminder teen 20% van die vorige jaar se waarde. Wat is die waarde van die motor op 1 Januarie 2012?
  2. Die bevolking van Bonduel verminder teen 'n koers van 9,5% per jaar soos mense na die stede migreer. Bereken die afname in die bevolking oor 'n tydperk van 5 jaar indien die aanvanklike bevolking 2 178 000 is.
  3. 'n 20 kg waatlemoen bestaan ​​uit 98% water. As dit buite in die son gelaat word, verloor dit 3% van sy water elke dag. Hoeveel sal dit weeg na 'n maand van 31 dae?
  4. 'n Rekenaar verminder in waarde teen x % per annum as die verminderde saldo metode gebruik word. Vier jaar gelede was die rekenaar se waarde R10 000 en dit is nou R4 520 werd. Bereken die waarde van x korrek tot twee desimale plekke.

Questions & Answers

Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
why?
Adin
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
Praveena Reply
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
Damian Reply
absolutely yes
Daniel
how to know photocatalytic properties of tio2 nanoparticles...what to do now
Akash Reply
it is a goid question and i want to know the answer as well
Maciej
characteristics of micro business
Abigail
for teaching engĺish at school how nano technology help us
Anassong
Do somebody tell me a best nano engineering book for beginners?
s. Reply
there is no specific books for beginners but there is book called principle of nanotechnology
NANO
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
s.
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
Virgil
is Bucky paper clear?
CYNTHIA
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
NANO
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
Do you know which machine is used to that process?
s.
how to fabricate graphene ink ?
SUYASH Reply
for screen printed electrodes ?
SUYASH
What is lattice structure?
s. Reply
of graphene you mean?
Ebrahim
or in general
Ebrahim
in general
s.
Graphene has a hexagonal structure
tahir
On having this app for quite a bit time, Haven't realised there's a chat room in it.
Cied
what is biological synthesis of nanoparticles
Sanket Reply
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Source:  OpenStax, Siyavula textbooks: wiskunde (graad 11). OpenStax CNX. Sep 20, 2011 Download for free at http://cnx.org/content/col11339/1.4
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