Revision Quiz 1 for Y12 Apps (all topics) 2021

What is the effective annual interest rate for the compounding frequency of quarterly? (to 2 d.p)

• 10.38%

• 10.25%

• 10.47%

• 10.51%

See the image

• $553 382

• $552 282

• $551 382

• $550 382

See the image

• $4908.28

• $4808.28

• $4708.28

• $4608.28

If you are asked to calculate the coefficient of determination, you should calculate...

• r

• r squared

• The gradient

• The least-squares regression line

What makes linear regression a suitable model? (Select all that apply)

• No pattern in the residuals

• A pattern in the residuals

• More than 20 data points used

• Correlation coefficient is high

A sequence has terms 19, 23, 27, 31.... Identify the general rule:

• $T_{n+1}=T_n+4,\ T_1=19$

• $T_n=4n+19$

• $T_n=4n+15$

• $T_{n+1}=4T_n,\ T_1=19$

A sequence has terms 19, 23, 27, 31.... Identify the recurrence relation:

• $T_{n+1}=T_n+4,\ T_1=19$

• $T_n=4n+19$

• $T_n=4n+15$

• $T_{n+1}=4T_n,\ T_1=19$

$600 000 is invested into an annuity at 5.3% p.a., compounded monthly. How long will the annuity last if $3500 per month is withdrawn?

• 321 months

• 320 months

• 322 months

• 323 months

A scholarship is set up with $800 000 into a perpetuity, with an interest rate of 3.45% p.a., compounded monthly. How much can be withdrawn at the end of the year to maintain the perpetuity?

• $28040.63

• $68 966.67

• 2300

• $27 600

A $450 000 house is financed through a mortgage, with an interest rate of 3.19% p.a., compounded monthly and monthly repayments are $2100. What is the value of the final repayment?

• $1236.34

• $1239.63

• $1241.60

• $2105.58