Summary
Samenvatting Vastgoedrekenen 2022/2023
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Dit is een samenvatting van vastgoedrekenen jaar 2022/2023. Ik was op dit olod geslaagd voor eerste zit.
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InhoudH1: GETALLENLEER..................................................................................................................................................... 2
REGEL VAN 3.......................................................................................................................................................................2
BREUKEN EN PERCENTAGES....................................................................................................................................................2
Percentages...................................................................................................................................................................2
Breuken..........................................................................................................................................................................3
MACHTEN EN WORTELS.........................................................................................................................................................3
Machtsverheffing...........................................................................................................................................................3
Vierkantswortel..............................................................................................................................................................3
Gebroken macht............................................................................................................................................................3
FORMULES..........................................................................................................................................................................3
GGD & KGV........................................................................................................................................................................ 3
ONTBINDEN IN FACTOREN......................................................................................................................................................4
H2: VERGELIJKINGEN OPSTELLEN EN OPLOSSEN.......................................................................................................... 4
VERGELIJKING......................................................................................................................................................................4
Standaardvergelijking....................................................................................................................................................4
Tweedegraadsvergelijking.............................................................................................................................................4
VIERKANTSVERGELIJKING........................................................................................................................................................4
STELSEL..............................................................................................................................................................................4
H3: LINEAIRE GROEI EN HOEKEN................................................................................................................................. 5
LINEAIR VERLOOP.................................................................................................................................................................5
HOEKEN – VERWANTSCHAP EN EENHEDEN................................................................................................................................5
Graden – radialen..........................................................................................................................................................5
Andere mogelijke notaties (voor kleiner dan 1 graad)..................................................................................................6
H4: RIJEN.................................................................................................................................................................... 6
Rekenkundige rij............................................................................................................................................................6
Meetkundige rij..............................................................................................................................................................6
Riemannrij......................................................................................................................................................................7
H5: RENTE.................................................................................................................................................................. 7
H6: REEKSEN.............................................................................................................................................................. 7
Convergentiegedrag......................................................................................................................................................8
Annuïteiten....................................................................................................................................................................8
H7: LOGARITME.......................................................................................................................................................... 8
Soorten logaritme..........................................................................................................................................................8
Rekenregels....................................................................................................................................................................8
Nut van logaritme..........................................................................................................................................................9
H8: GONIOMETRISCHE GETALLEN EN RECHTHOEKIGE DRIEHOEKEN............................................................................9
EEN HOEK........................................................................................................................................................................... 9
EEN DRIEHOEK...................................................................................................................................................................10
GRONDFORMULE - PYTHAGORAS...........................................................................................................................................10
EXCEL.............................................................................................................................................................................. 10
H9: DRIEHOEKEN...................................................................................................................................................... 11
Cosinusregel.................................................................................................................................................................11
H10: OMTREK, OPPERVLAKTE EN VOLUME............................................................................................................... 11
OMTREK...........................................................................................................................................................................11
OPPERVLAKTE....................................................................................................................................................................12
, VOLUME...........................................................................................................................................................................12
H1: getallenleer
Regel van 3
1. Recht evenredig
= Als er iets stijgt, stijgt het ander ook.
Bv. als je in plaats van 3 pintjes er 4 wilt hebben dan betaal je meer
B C
Constante waarde = andere grootheid (prijs)/ ene grootheid (aantal pintjes)
Om C te berekenen = (andere grootheid 1/ ene grootheid 1) * B
2. Omgekeerd evenredig
= als er iets stijgt dan daalt het ander
Bv. Hoe meer mensen kunnen helpen met een klus hoe sneller het gedaan is
Constante waarde = ene grootheid (aantal dagen) * andere grootheid (aantal mannen)
C = (ene grootheid 1* andere grootheid 1) / B
Breuken en percentages
Percentages
1. Van een geheel getal
= (7/100) * waarde
2. Toename met …%
= (1+ 7/100) * waarde
3. Afname met …%
= (1- 7/100) * waarde
4. Hoeveel % is a van b
= (a/b) *100
5. Verandering van oude waarde naar nieuwe, in %
Toename (als nieuw/ oud > 1)
= (nieuw/ oud - 1) *100
Afname (als nieuw/ oud < 1)
= (1 - nieuw/oud) *100
6. Toename en afname samen
= (1+..%) * (1-..%) *waarde
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