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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

what is homeostasis?
Samuel Reply
what's physiology
AminchiSunday Reply
what is physiology
AminchiSunday
physically is the study of the function of the body
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YAU
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YAU
pls what are the main treatment of hiccups
YAU
physiology is the study of the function of the body
Najaatu
hiccups happen when something irritates the nerves that course your diaphragm to contract
Najaatu
how did hypothalamus manege to control all activities of the various hormones
malual
how can I treat pain a patient feels after eating meals
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how do I treat a three year old baby of skin infection?
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It depends on the type of infection. Bacterial, fungal, parasitic or viral?
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if you can share the sign ad symptoms of the skin infection then u geh the treatment cox they're different sign ad symptoms of skin infection with different treatment
Sa
prostaglandin and fever
Maha Reply
yes
rayyanu
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rayyanu
prostaglandin E2 is the final mediator.
Lemlem
prostaglandin E2 is the final mediator of fever.
Lemlem
yes
Agabi
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Jediel
Discuss the differences between taste and flavor, including how other sensory inputs contribute to our  perception of flavor.
John Reply
taste refers to your understanding of the flavor . while flavor one The other hand is refers to sort of just a blend things.
Faith
While taste primarily relies on our taste buds, flavor involves a complex interplay between taste and aroma
Kamara
which drugs can we use for ulcers
Ummi Reply
omeprazole
Kamara
what
Renee
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is a drug
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Kamara
Omeprazole Cimetidine / Tagament For the complicated once ulcer - kit
Patrick
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Nency Reply
Not really sure
Eli
to drain extracellular fluid all over the body.
asegid
The lymphatic system plays several crucial roles in the human body, functioning as a key component of the immune system and contributing to the maintenance of fluid balance. Its main functions include: 1. Immune Response: The lymphatic system produces and transports lymphocytes, which are a type of
asegid
to transport fluids fats proteins and lymphocytes to the blood stream as lymph
Adama
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Oyindarmola Reply
Anatomy is the identification and description of the structures of living things
Kamara
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Oyerinde Reply
Anatomy is the study of the structure of the body, while physiology is the study of the function of the body. Anatomy looks at the body's organs and systems, while physiology looks at how those organs and systems work together to keep the body functioning.
AI-Robot
what is enzymes all about?
Mohammed Reply
Enzymes are proteins that help speed up chemical reactions in our bodies. Enzymes are essential for digestion, liver function and much more. Too much or too little of a certain enzyme can cause health problems
Kamara
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Prince
how does the stomach protect itself from the damaging effects of HCl
Wulku Reply
little girl okay how does the stomach protect itself from the damaging effect of HCL
Wulku
it is because of the enzyme that the stomach produce that help the stomach from the damaging effect of HCL
Kamara
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Ali Reply
function of digestive
Ali
the diagram of the lungs
Adaeze Reply
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Diya Reply
37 degrees selcius
Xolo
37°c
Stephanie
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Mark
36.5
Simon
37°c
Iyogho
the normal temperature is 37°c or 98.6 °Fahrenheit is important for maintaining the homeostasis in the body the body regular this temperature through the process called thermoregulation which involves brain skin muscle and other organ working together to maintain stable internal temperature
Stephanie
37A c
Wulku
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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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