VCE General & Further Maths Question Thread!

[maylovesgelati]

How do you do this question on a CAS calculator?

David enters into an arrangement to buy a car for $5000 deposit and monthly repayments of $1100 per month for two years. If the purchase price of the car is $24 990, then the flat rate of interest per annum this represents is closest to:
a) 2.8%
b) 5.6%
c) 12.8%
d) 16.0%
e) 32.0%

[death to the vcaa]

I stuffed up my recursion and financial SAC. I got 79% on it and also got 92% on my data SAC. I was wondering whether it was still possible to achieve a 40 ss in further?

[Cornrow Kenny]

I stuffed up my recursion and financial SAC. I got 79% on it and also got 92% on my data SAC. I was wondering whether it was still possible to achieve a 40 ss in further?

Yes

Like your username btw! 

[chenay0123]

Hi guys, how do I find the area of this triangle using one of the 3 methods from Geo&Trig?
Thanks!

[RuiAce]

Hi guys, how do I find the area of this triangle using one of the 3 methods from Geo&Trig?
Thanks!

[chenay0123]

Cheers, just a question: how do you know that 5mm is perpendicular to b // it's a 90degree angle?

[RuiAce]

Cheers, just a question: how do you know that 5mm is perpendicular to b // it's a 90degree angle?

Oh I assumed that. If that wasn't the case then we actually don't have enough information to find the area.

[chenay0123]

Ok thanks for your help

[minerva]

Can anyone please help me with this question?

[ayesha2011t]

Can anyone please help me with this question?

Unique solution means when you only get one answer. So for simultaneous equations that means when you only get one set of coordinates for when the lines intersect. Easiest way to do it is to put it in the CAS to solve the equations simultaneously.
Equation 1- is just the same line. The lines are both the same (one is just multiplied by 2), so if u graph it out, you will get infinite points of intersections
Equations 3 and 4 are exactly the same too

So that leaves you only with equations 2 and 5.
For equation 2 ur solution is (0,6). Meaning, your lines will intersect in the coordinate (0,6). And equation 5 is a horizontal and vertical line. So they have to meet at (8,2).
 
This means you only have 2 equations that give you 2 u unique solutions so your answer must be B.

Correct me if I made any mistakes and feel free to ask me again if you couldn't understand my explanation.

 

[eth-dog]

Just wondering, how do you find the distance around a great circle that passes through two points? I have had plenty of questions which ask for the distance between two points but i haven't had one asking 'that passes through two points'. I have attached a picture of the question.

Any help is appreciated. Btw the answer is very similar to question b.

Answers:
a) 6182km
b) 3237km
c) 3234km

[clarke54321]

Hi Guys,

How is this graph planar? Even when rearranging the edges so that they don't intersect wouldn't they still cross due to their positioning?

Thanks 

[Vaike]

Hi Guys,

How is this graph planar? Even when rearranging the edges so that they don't intersect wouldn't they still cross due to their positioning?

Thanks 

Sorry for the poorly drawn diagram, but here's how you can redraw it to be planar. Also, I think any graph with 4 or less vertices can be planar, someone please correct me if I am mistaken

[YellowTongue]

When given the longitudes of two locations and asked to find the time difference, what do you do if the difference is not a multiple of 15? E.g. if one location has a longitude of 37 degrees east whilst another has a longitude of 6 degrees east, do you round according to standard numerical rounding (i.e. down in this case)?

Or if you had a 57 degress and 2 degree longitude, would you round up?

[Coffee]

Could someone please give an explanation/show the working out for the attached question? I'm pretty sure I understand it but I'd appreciate a second opinion.

Edit: Attached another question. I have a SAC tomorrow so if anyone could provide an explanation/working out ASAP it would be much appreciated!