VCAA Sample Exam?

[Hydroxyl]

Hey Guys!
Could someone please help me with the VCAA Sample Exam 2 for Further Maths?

I require assistance for the Recursion and Financial Modelling Questions in Exam 2. I would just like someone to check if these are correct.


Q7
a) 8400-1200x2 = 6000
OR
V1 = 8400-1200 = 7200
V2 = 7200-1200 = 6000

b)
8400-1200n = 3600
-1200n = -4800
n = 4
∴ Since V4 = 3600
= 4 Years.

c) $0.25
OR 25 cents

d)
Since V2 of Flat Rate Depreciation, V2= 6000
6000 = 8400 - 0.25n
6400-8400 = -0.25n
n = 9600
∴ 9600 km.

Q8
a) R = 1.004 where R = 1 + 1/1200
∴ 1+ r/1200 = 1.004
r = 4.8 % per annum

b) V12 = $5245.35

c) i) T0 = 3000, Tn+1 = (1+0.35/100)*Tn + 200
∴ T0 = 3000, Tn+1 = 1.0035Tn+200

ii) T6 = $4274.10
T6 - T0 = Total Interest
            = $1274.10

Q9

a) N = 18.26
∴ 19 months

b)
i) $802.47

ii) $473.70

Not really too sure of Q9, and parts of Q8.

Appreciated! Thanks

[Hydroxyl]

Q9.

[plato]

I require assistance for the Recursion and Financial Modelling Questions in Exam 2. I would just like someone to check if these are correct.

Q7
a) 8400-1200x2 = 6000
OR
V1 = 8400-1200 = 7200
V2 = 7200-1200 = 6000

I think the second way illustrates recursion better than the first.

I then agree with all your other answers but two.
Your answer for 9a should be 19 payments not months, even though each payment is monthly. The question asks for the number of payments.

I think 9c should be called 9b(ii) and I get a different answer.
After the first 5 payments, FV=$5511.00
I agree with your answer of $802.47 for 9b(i)
This is paid for 7 more months until FV= -0.03
This 3 cents must still be paid and makes the final payment = $802.50

[Hydroxyl]

I think the second way illustrates recursion better than the first.

I then agree with all your other answers but two.
Your answer for 9a should be 19 payments not months, even though each payment is monthly. The question asks for the number of payments.

I think 9c should be called 9b(ii) and I get a different answer.
After the first 5 payments, FV=$5511.00
I agree with your answer of $802.47 for 9b(i)
This is paid for 7 more months until FV= -0.03
This 3 cents must still be paid and makes the final payment = $802.50

Thank You so much, it makes sense. I got -$0.03 initially but was unsure what to do with it. Since the value is negative it means the person still owes the $0.03 if I'm not mistaken, so you just add it to the monthly payment of $802.47. ∴ Ans is $802.50.

Thanks

[Teak]

Q8 c) ii) Needs to take into account the $200 repayments each month too.

So Total Interest would be: Final Value at 6 months - (Initial Deposit + 6 x $200 repayments)

T6 - (T0 + 6 x 200) = 4274.10 - (3000 + 6 x 200)
Total Interest = $74.10

[Hydroxyl]

Q8 c) ii) Needs to take into account the $200 repayments each month too.

So Total Interest would be: Final Value at 6 months - (Initial Deposit + 6 x $200 repayments)

T6 - (T0 + 6 x 200) = 4274.10 - (3000 + 6 x 200)
Total Interest = $74.10

Thank you!

[ayesha2011t]

Thank You so much, it makes sense. I got -$0.03 initially but was unsure what to do with it. Since the value is negative it means the person still owes the $0.03 if I'm not mistaken, so you just add it to the monthly payment of $802.47. ∴ Ans is $802.50.

Thanks

Hey hydroxyl!
I just wanted to ask, bc it says 'minimum' monthly repayment do u round up to 802.48 or not?

[Hydroxyl]

Hey hydroxyl!
I just wanted to ask, bc it says 'minimum' monthly repayment do u round up to 802.48 or not?

Hey!

For which part of the question? For the initial part it would be $802.47 because that is the minimum. I don't think it would have to round up to $802.48

By the way, love the quote in your signature!

[ayesha2011t]

Hey!

For which part of the question? For the initial part it would be $802.47 because that is the minimum. I don't think it would have to round up to $802.48

By the way, love the quote in your signature!

Thanks, I got it now!

And yeah, the quote is a reminder to myself (tend to do this a lot) and others to really accept themselves. I've also noted that when I do accept myself wholeheartedly good results (both academically and life, in general) have flown my way.

[haxor4chan]

Hey was just wondering if itute got these wrong or (regards to same question)??

[ayesha2011t]

Hey was just wondering if itute got these wrong or (regards to same question)??

Yes, the solutions are wrong. Only part A is right

[haxor4chan]

In regards to question 9 b ii in Sample VCAA 2016 exam 2 again.....I asked my teacher they said you find how much is owing when n=6 and then thats how much you pay or something like that??? Or do we juts find when n=7 and add the 0.03 to it? is there confirmation that $802.5 is correct?
Thank youuuu 

[haxor4chan]

Also take a look at this and tell me what you think ? https://www.youtube.com/watch?v=uU_2-MtMUbw

[Kimahso]

Also take a look at this and tell me what you think ? https://www.youtube.com/watch?v=uU_2-MtMUbw

He says that you have to pay off $7500 when calculating 9.b.ii. but don't you have to pay a bit more than $7500 to take into account the interest on the loan? A further maths teacher at my school actually uploaded his own solutions for the sample exam and said that the question didn't make sense. -_-

All I know is that if we get this type of question in the exam I'm doomed.

[Hydroxyl]

He says that you have to pay off $7500 when calculating 9.b.ii. but don't you have to pay a bit more than $7500 to take into account the interest on the loan? A further maths teacher at my school actually uploaded his own solutions for the sample exam and said that the question didn't make sense. -_-

All I know is that if we get this type of question in the exam I'm doomed.

Apparently the Chief Examiner from VCAA said that the FM Sample Exam was Rushed and so there was so many mistakes in it. I mean, they made 4 versions of the sample exam. First the Cambridge book, now this haha

Anyways, I think iTute got it wrong. The formula doesn't make sense, and if we use a recurrence relation to model this situation you would also get the same answers.