y9 maths questions (1 Viewer)

wzsmartypants · Sep 14, 2021

Hi everyone im working on one of the year 9 past papers from NBHS and this last section didn't have solutions included, while I've got many questions for this section. It would be SUPER helpful if someone could tell me if I got these answers right

17. $690.55
18. $205.80
ok i think for question 19 i may be wrong
19 a. $46424.25
b. $6634.88
c. $928.49
d. i dont get it
e. $351
and then the last two 17 a. $15018.50
b. 10.65%
Thanks!

Screen Shot 2021-09-14 at 10.40.20 am.png

Screen Shot 2021-09-14 at 10.40.55 am.png

jimmysmith560 · Sep 14, 2021

I'm not entirely sure about question 19, but hopefully someone else can comment and provide assistance.

Question 17 appears to be correct:

John earns $350 per week + 7% sales commission. He sold $4865 worth of goods.

$4865\times 7\%=340.55$
$350+340.55=\$690.55$

Question 18 appears to be incorrect:

Anna is paid $16.80 from Monday to Friday and time-and-a-half (i.e. $25.20) on Saturdays.

3.30pm to 7.30pm = 4 hours. She works the same from 3.30pm to 7.30pm from Monday to Friday, i.e. 4 hours x 5 days = 20 hours.

She works from 8.00am to 1.30pm, meaning 5.5 hours.

$20\times 16.80=336$
$5\times 25.20=126$
$\frac{1}{\:2}\times 25.20=12.60$
$336+126+12.60=\$474.60$

Question 17 (second attachment):

a) Appears to be correct:

Using $A=P(1+R)^n$

$32000\left(1+0.08\right)^5\approx \$47018.50$
$47018.50-32000\approx \$15018.50$

b) Appears to be incorrect:

Using $I=Prn$
$15018.50=32000\times r\times 5$
$15018.50=160000r$
$r=\frac{15018.50}{160000}$
$r=\%9.39$ (2 decimal places)

I hope this helps!

wzsmartypants · Sep 14, 2021

jimmysmith560 said:
I'm not entirely sure about question 19, but hopefully someone else can comment and provide assistance.

Question 17 appears to be correct:

John earns $350 per week + 7% sales commission. He sold $4865 worth of goods.

$4865\times 7\%=340.55$
$350+340.55=\$690.55$

Question 18 appears to be incorrect:

Anna is paid $16.80 from Monday to Friday and time-and-a-half (i.e. $25.20) on Saturdays.

3.30pm to 7.30pm = 4 hours. She works the same from 3.30pm to 7.30pm from Monday to Friday, i.e. 4 hours x 5 days = 20 hours.

She works from 8.00am to 1.30pm, meaning 5.5 hours.

$20\times 16.80=336$
$5\times 25.20=126$
$\frac{1}{\:2}\times 25.20=12.60$
$336+126+12.60=\$474.60$

Question 17 (second attachment):

a) Appears to be correct:

Using $A=P(1+R)^n$

$32000\left(1+0.08\right)^5\approx \$47018.50$
$47018.50-32000\approx \$15018.50$

b) Appears to be incorrect:

Using $I=Prn$
$15018.50=32000\times r\times 5$
$15018.50=160000r$
$r=\frac{15018.50}{160000}$
$r=\%9.39$ (2 decimal places)

I hope this helps!

Thank you so much!

CM_Tutor · Sep 14, 2021

Question 19 - I am not following where your answers came from, so here are my calculations:

$\text{Taxable Income}\ = 57,682 + 594 - 1,150 = \$57,126$

$\text{Tax Payable}\ = 3,572 + \cfrac{32.5}{100}\times(57,162-37,000)=\$10,112.95$

$\text{Medicare Levy}\ = 2% \times 57,682 = \$1,153.64$

$\text{Total Payable}\ = 10,112.95 + 1,153.64 = \$11,266.59$

$\text{Balance Payable}\ = 11,266.59 - 10,701.75 = \$564.84$

A pat rise of $10 per week ($520 per year) would not alter his tax bracket, so he would pay 32.5c in tax per dollar on the extra income ($3.25 per week) and so his extra income per week (net) would be $6.75. However, he would also pay 2% Medicare Levy (or any extra 20c per week), so he would receive $6.55 net if the Medicare Levy is considered.

dan964 · Sep 19, 2021

which paper is this?

y9 maths questions (1 Viewer)

wzsmartypants

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jimmysmith560

Le Phénix Trilingue

wzsmartypants

Active Member

CM_Tutor

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dan964

what

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