EPTI love math because I think it is the only "true" language, the one that doesn't have room for interpretations or misunderstanding (unless the reader is doing it wrong), and that it defines pretty much everything, except maybe emotions and stuff like that. And I like it because everything is so logical, maybe not if you don't understand it, but when you do everything is so obvious and you blame yourself for not seeing it before. Just my opinion
(These questions are from my latest math test, they are not very hard/advanced, but I will go to the advanced math class next year so please, don't hate if you think the problems are easy)
1.
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The value of a car decreases with 19.5% every year. The car's value in 2005 was 280 000NOK, it was a new car in 2003.
a) Find the growth factor (I don't know if that is the correct english word for it)
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b) What was the value of the car in 2007?
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c) What did the car cost in 2003?
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a) Find the growth factor (I don't know if that is the correct english word for it)
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1-0.195=0.805
b) What was the value of the car in 2007?
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V(x)=280000*0.805^x
V(2)=280000*0.805^2
V(2)=181447~=180400NOK
V(2)=280000*0.805^2
V(2)=181447~=180400NOK
c) What did the car cost in 2003?
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V(-2)=280000*0.805^-2
V(-2)=432082~=432100NOK
V(-2)=432082~=432100NOK
2.
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Nadia and Tor(Thor is here!) are members of a movieclub. Nadia goes to 70% of the meetings, and independent of her, Tor goes to 60% of the same meetings.
a) What's the chance of Nadia going to a meeting that Tor doesn't go to?
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b) What is the probability of none going to the same a meeting?
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Three meetings were arranged in January
c) What is the probability for Nadia going to all three meetings?
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d) What is the probability for both of them going to all three meetings?
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a) What's the chance of Nadia going to a meeting that Tor doesn't go to?
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A=Nadia shows up, Tor doesn't.
P(A)=(1-P(Tor shows up))*P(Nadia shows up)
P(A)=(4/10)*(7/10)
P(A)=7/25=28%
P(A)=(1-P(Tor shows up))*P(Nadia shows up)
P(A)=(4/10)*(7/10)
P(A)=7/25=28%
b) What is the probability of none going to the same a meeting?
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B=None of them shows up
P(B)=(1-P(Tor shows up))*(1-P(Nadia shows up))
P(B)=(4/10)*(3/10)
P(B)=3/25=12%
P(B)=(1-P(Tor shows up))*(1-P(Nadia shows up))
P(B)=(4/10)*(3/10)
P(B)=3/25=12%
Three meetings were arranged in January
c) What is the probability for Nadia going to all three meetings?
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C=Nadia shows up at all three meetings
P(C)=(7/10)^3
P(C)=343/1000=34.3%
P(C)=(7/10)^3
P(C)=343/1000=34.3%
d) What is the probability for both of them going to all three meetings?
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D=Tor goes to all three meetings
P(D)=(6/10)^3
P(D)=27/125=21.6%
P(C union D)=P(C)*P(D)
P(C union D)=0.343*0.216
P(C union D)=0.074=7.4%
P(D)=(6/10)^3
P(D)=27/125=21.6%
P(C union D)=P(C)*P(D)
P(C union D)=0.343*0.216
P(C union D)=0.074=7.4%
3.
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a) How much will the ball cost of 100 stundents come, and how much will it cost per student?
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b) We'll say that x amount of students attends, and we say that the combined expenses per student is E(x). Show that E(x)=10000/x+120
To cover the expenses, the ball-commitee sets the price tag on the tickets to 200NOK.
c) How many students do the commitee count on? (That was horribly written)
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200 students buy tickets, the commitee decides to give the extra money to charity.
d) How much money is given to charity?
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The students at a school are arranging a christmas ball. The students rent a building and a local band that will play. The expenses are 10 000NOK, in addition there is food and drinks for the students which comes out at 120NOK per student.
a) How much will the ball cost of 100 stundents come, and how much will it cost per student?
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K(x)=10000+120x
K(100)=10000+120*100
K(100)=22000NOK
K(100)=10000+120*100
K(100)=22000NOK
b) We'll say that x amount of students attends, and we say that the combined expenses per student is E(x). Show that E(x)=10000/x+120
To cover the expenses, the ball-commitee sets the price tag on the tickets to 200NOK.
c) How many students do the commitee count on? (That was horribly written)
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Based on the graph I made on my calculator, they are hoping that at least 120 students buy a ticket.
200 students buy tickets, the commitee decides to give the extra money to charity.
d) How much money is given to charity?
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Total expenses=10000+120*200=34000NOK
Ticket income=200*200=40000NOK
Surplus=40000-34000=6000NOK
Ticket income=200*200=40000NOK
Surplus=40000-34000=6000NOK
Answers added, hope this one was more enjoyable than the last one
Random fun question (Not math related)
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What do you think this song is about?
Lyrics (from tool's own website)
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Answer
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Lyrics (from tool's own website)
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Die Eier von Satan
Eine halbe Tasse Staubzucker
Ein Viertel Teelöffel Salz
Eine Messerspitze türkisches Haschisch
Ein halbes Pfund Butter
Ein Teelöffel Vanillenzucker
Ein halbes Pfund Mehl
Einhundertfünfzig Gramm gemahlene Nüsse
Ein wenig extra Staubzucker ... und keine Eier
In eine Schüssel geben
Butter einrühren Gemahlene Nüsse zugeben und Den Teig verkneten
Augenballgroße Stücke vom Teig formen Im Staubzucker wälzen und Sagt die Zauberwörter
Simsalbimbamba Saladu Saladim
Auf ein gefettetes Backblech legen und Bei zweihundert Grad für fünfzehn Minuten backen und KEINE EIER
Bei zweihundert Grad für fünfzehn Minuten backen und Keine Eier ..
Eine halbe Tasse Staubzucker
Ein Viertel Teelöffel Salz
Eine Messerspitze türkisches Haschisch
Ein halbes Pfund Butter
Ein Teelöffel Vanillenzucker
Ein halbes Pfund Mehl
Einhundertfünfzig Gramm gemahlene Nüsse
Ein wenig extra Staubzucker ... und keine Eier
In eine Schüssel geben
Butter einrühren Gemahlene Nüsse zugeben und Den Teig verkneten
Augenballgroße Stücke vom Teig formen Im Staubzucker wälzen und Sagt die Zauberwörter
Simsalbimbamba Saladu Saladim
Auf ein gefettetes Backblech legen und Bei zweihundert Grad für fünfzehn Minuten backen und KEINE EIER
Bei zweihundert Grad für fünfzehn Minuten backen und Keine Eier ..
Answer
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