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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

Application of nanotechnology in medicine
what is variations in raman spectra for nanomaterials
Jyoti Reply
I only see partial conversation and what's the question here!
Crow Reply
what about nanotechnology for water purification
RAW Reply
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
Damian
yes that's correct
Professor
I think
Professor
what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
How we are making nano material?
LITNING Reply
what is a peer
LITNING Reply
What is meant by 'nano scale'?
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What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
Rafiq
if virus is killing to make ARTIFICIAL DNA OF GRAPHENE FOR KILLED THE VIRUS .THIS IS OUR ASSUMPTION
Anam
analytical skills graphene is prepared to kill any type viruses .
Anam
what is Nano technology ?
Bob Reply
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
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
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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
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Introduction about quantum dots in nanotechnology
Praveena Reply
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Loga
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit 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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