6 Marts

In: Business and Management

Submitted By cat123niels
Words 417
Pages 2
Opgave 1
En person sætter 30 000 kr. På en konto med en fast årlig rente på 2,3 %. a) Beløbet efter 4 år
Vi skal bruge formlen K=startværdi·(1+r)n
K=er kapitalen efter n terminer r=rente= n=antallet af terminer
Før man kan sætte tallene ind i formlen, skal vi have omregnet 2,3% til decimal tal
2,3100=0,023

Herved ved formlen altså komme til at lyde:
K=30000kr·(1+0,023)4

K=32856,69
Vi har nu beregnet ved hjælp af renteformlen at efter 4 år, er der =32856,69 kr

b) År i alt før beløbet kommer over 35 000 kr.?
Vi ved altså at efter 4 år står der et beløb på =32856,69 kr
Ved at bruge renteformlen kan vi altså beregne at efter 7 år er beløbet, over 35000 kr
K=30000·(1+0,023)7

K=35176,34

Opgave 2 a) Bestem vinkel A i trekant ABE
Får at beregne den resterende side i trekant ABE, skal vi bruge cos⁡(A) relationen
3570=0,5
3570=cos-10,5 cosA=60° Vinkel A i trekant ABE er altså 60° b) Bestem længden af BE
Får at bestemme den resterende side i trekanten ABE, kan vi benytte Pythagoras a2+b2=c2 a2+b2-b2=c2-b2
Herefter indtaster vi målene vi kender som er 70 cm og 35 cm

a2=c2-b2

a2=702-352

702-352=3675

3675=60,62 cm

Vi har nu ved hjælp af Pythagoras beregnet sidelængden BE til at være =60,62 cm

Bestem arealet af bordpladen
Får at bestemme arealet af bordpladen bruger vi denne formel:
A=12·h·(a+b)
A=12·60,62·(70+35)
A=3182,55
Arealet af bordpladen er beregnet til at være=3182,55 cm

Opgave 3 a) Opstil en formel y=34,15x+581,25 b) For at finde ud af hvad en forburger bruger for at betale et vanforbrug på 12 kubikmeter, bruger vi formlen vi har lavet i opgave a.

Holstebro:
581,25+34,15·12=x

x=991,05

I Holstebro betaler man altså =991,05 kr

Hillerød:
308,75+49,38·12=x

x=901,31

I Hillerød betaler man altså = 901,31 kr

Vandforbruget skal altså være højere end 20 får at en forbruger i Holstebro skal betale mindre end en forbruger i…...

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