VCE General & Further Maths Question Thread!

[Lear]

I honestly don’t know. Like I’ve said I’ve lost marks for putting units in calculations before so ¯\_(ツ)_/¯

Also see last year’s exam 2 very first question. Asks for a calculation and answer scheme didn’t include units.

[VeryJuicyLemon]

So is it best to include the units just to be safe?

Include units when asked. However you can include units even when not asked but make sure it is the correct unit as adopting an inaccurate unit will lead to a wrong answer. This is the same principle when people answer the question in a worded format (but if the worded format mislead from the question/answer, the answer will be wrong) when simply the numerical answer is what vcaa is looking for.

[galaxy21]

In the matrices module, if a question asks to calculate a S1 (for example), do we have to write out each of the matrices used in the calculation, or is it okay to just use the letter that they have been assigned (e.g. TxS0=S1 - S1 would obviously be written as the actual matrix)?

Sorry, that probably makes no sense haha.

[PopcornTime]

nht further exam 2, question 6 recurrence relations (attached below).

So if it said 1.5% per annum, then would $200.25 be the correct answer?

So does that mean the interest rate per annum is actually 18% (1.5x12)?

Thanks

[VeryJuicyLemon]

nht further exam 2, question 6 recurrence relations (attached below).

So if it said 1.5% per annum, then would $200.25 be the correct answer?

So does that mean the interest rate per annum is actually 18% (1.5x12)?

Thanks

This is a little bit different than your usual financial core. There isn't an exact interest per annum but rather it charges its customers by 1.5% of interest if bills are not paid after the due date (in months). Therefore there will be no interest charged if they paid their bills on time. So the correct answer should be $203 (since Marcus paid his bills one month after due month, 1.015x200=203)

[PopcornTime]

This is a little bit different than your usual financial core. There isn't an exact interest per annum but rather it charges its customers by 1.5% of interest if bills are not paid after the due date (in months). Therefore there will be no interest charged if they paid their bills on time. So the correct answer should be $203 (since Marcus paid his bills one month after due month, 1.015x200=203)

But it says interest on this amount will compound monthly?

[VeryJuicyLemon]

But it says interest on this amount will compound monthly?

Interest will compound for x amount of months that the customer doesn't pay its bill after due month, don't be confused with the your usual compound interest question. This one has a slightly different rule.

[vox nihili]

What does "decay arithmetically" mean? Have looked online for an answer but nothing really seems to explain this well.

[PhoenixxFire]

What does "decay arithmetically" mean? Have looked online for an answer but nothing really seems to explain this well.

I would assume it’s just referring to an arithmetic sequence with a negative difference. E.g 10, 8, 6, 4, etc

[S_R_K]

What does "decay arithmetically" mean? Have looked online for an answer but nothing really seems to explain this well.

An arithmetic sequence is given by a recurrence relation of the form V(n+1) = Vn + D. If D < 0, the sequence decays arithmetically.

Edit: see PhoenixxFire for a nice example.

[PopcornTime]

Nht 2017 further maths exam 2, data analysis, question 2 b) iii).

Isn't the answer -19.0 and not -18.9?

Also, do we need units for residual values?

[AngelWings]

Nht 2017 further maths exam 2, data analysis, question 2 b) iii).

Isn't the answer -19.0 and not -18.9?

Also, do we need units for residual values?

First Question

The answer is -18.9%. When you substitute 11.2^oC into the equation, it'll spit out an answer. Take that answer away from 68% and you should get a residual of -18.9% when rounded. (It's actually -18.944%, which rounds down.)

P.S. I added units in mostly because the answer has it. I actually don't know if you're supposed to have units in residuals.

I'm usually one who does add units, just in case, but I'd take this with a grain of salt and ask your Further teacher for full confirmation. 

[Lear]

Wait...are residuals a percentage?

[AngelWings]

Wait...are residuals a percentage?

No, just the units in this one is. The question itself had percentages, so... I think I added the units in unnecessarily in all honesty.

[PopcornTime]

Do you include lump sum payments in total interest paid during lets say, a reducing balance loan?