A walk is:

If John wants to invest a sum of money into an investment which compounds monthly for 2 years, how many compounding periods (n) are their?

Use the above graph to identify a path commencing at M, including at least 10 vertices and finishing at D. (do not include comma's in your answer - eg MQTAHDP...).

Use the above graph to identify a trail from A

A to C that includes exactly 7 edges (do not include comma's in your answer).

Use the above graph to identify a cycle commencing at M that includes 10 edges (do not include comma's in your answer).

Use the graph to identify the shortest distance to travel from A to D that goes to all vertices.

Tracey invests $500

$500 into a fund at the end of each year for 20

20 years. The fund pays 12%

12% p.a. interest, compounded annually. The total amount of interest that Tracey earns on this fund investment is:

Calculate the amount of each annual contribution needed to obtain $100 000 in 10 years at 7.5% p.a., with interest compounded annually , correct to the nearest cent.

A college alumni decides to set up a scholarship fund for a gifted musician at his old college, He invests in a perpetuity that is guaranteed an interest rate of 7.5%

7.5% p.a., compounded every six months. Determine the amount to be invested in this perpetuity to provide a regular six-monthly income of $3000

$3000.

Calculate the 5-point moving average, centred around the 4th month.

Determine the critical path for the network.

(Do not put gaps between the comma's - Answer like this A,B,C)

Which activity has the largest float time?

What is the critical path for this activity network?

(Answer like this: A,B,C)

The earliest completion time for the project is:

The annual percentage compound interest rate for this account is:

The balance at the end of the first year is:

The interest earned in the first year is:

An interest rate of 4.5% p.a. compounding monthly is equivalent to an effective interest rate of:

An investment of $6000 was placed in an account for 3 years at 4.25% p.a. compounded annually. How much MORE money would be collected if the investment was compounded quarterly?

Warren wishes to invest $10 000 for a period of 5 years (assume 365 days =1 year). The following investment alternatives are suggested to him. The best investment would be:

An investment of $10,000 at the rate of 7% per annum, compounded quarterly, will reach $14,800 in close to:

 $i_{effective}=\left(1+\frac{i}{n}\right)^n-1$ 

If an interest rate is advertised as 6% pa compounding monthly, the values for $i$ and $n$ in the effective annual interest rate equation are:

An annuity is:

 $A_{n+1}=1.00479An+450,\ A_0=450$  
The regular payment made into this investment/annuity is:

 $A_{n+1}=1.0125An+450,\ A_0=450$  
Which one of the following shows the values of the annuity, correct to the nearest dollar, after each of the first 4 payments?

 $i_{effective}=\left(1+\frac{i}{n}\right)^n-1$ 

If an interest rate is advertised as 6%pa, compounding weekly, the effective interest rate is:

Which one of the following recurrence relations represents $1000 invested every 3 months at 7.5% p.a. compounded quarterly?

 $t_{n+1}=t_n−6\ \ \ \ \ \ t_1=−5$  

Which of the following sequences is generated by the following recurrence relation?

Jojo invests $10,000 into an investment paying simple interest of 3.2%pa. What is the value of the investment in 5 years time?

A loan of $1,000 is taken over 5 years. The total amount repaid for this loan is $1,800. The simple interest rate per year on this loan is closest to:

The correct diagram for the table above is:

Using the table above, the earliest start time for activity E is:

Using the table above, the earliest completion time for the network:

Perform a row reduction on the above matrix. Which of the following is the resultant row-reduced matrix?

Perform a row AND column reduction on the above matrix. Which of the following is the resultant matrix?

In Earth geometry, great circles are defined as:

The above table displays the accuracy gained from a medical test screening for a virus. Note: A positive test indicates that the patient has the virus.

How many patients were screened for the virus?

The above table displays the accuracy gained from a medical test screening for a virus. Note: A positive test indicates that the patient has the virus.

How many positive tests were recorded?

The above table displays the accuracy gained from a medical test screening for a virus. Note: A positive test indicates that the patient has the virus.

What percentage of test results were accurate?

The above table indicates the results of a radar surveillance system. If the system detects an intruder, an alarm is activated.

If the alarm is activated, what is the percentage chance that there actually is an intruder? (show your answer to 1 decimal place and include a % - eg 52.7%)

The above table indicates the results of a radar surveillance system. If the system detects an intruder, an alarm is activated.

What was the percentage of accurate results over the test period? (show your answer without any decimal places - eg 56%)

Check the boxes which apply to the above scatterplot:

(Hint: relationship, direction, form)

Check the boxes which apply to the above scatterplot:

(Hint: relationship, direction, form)

Check the boxes which apply to the above scatterplot:

(Hint: relationship, direction, form)

 $i_{effective}=\left(1+\frac{i}{n}\right)^n-1$ 

If an interest rate is advertised as 3.2%pa over 4 years, compounding quarterly, the values for $i$ and $n$ in the effective annual interest rate equation are:

The  $n$  in the effective interest formula represents the:

You can recognise that you need to use the annuity formula when you are given a question that includes:

Which of the following statements are correct?

A set of data was collected from a large group of professional sportspeople. They were asked the number of hours they trained per week and the amount of money they earned. The results were recorded, and the value of Pearson's correlation coefficient was found to be 0.87.

Which of the following is NOT true?

For the data set  $\overline{x}=11.5$ ,  $\overline{y}=16.5$ ,  $s_x=10.8$ ,  $s_y=5$ ,  $r=0.94$  the regression line equation is closest to:

The equation of the least-squares regression line is:

If Jane is in Cairns (UTC +10) and phones her dad in Paris (UTC) at 7pm Friday Paris time. At what time must she call from Cairns?

Mr Watson lives in Cairns (UTC +10) and wants to watch the NFL Superbowl live, without watching the hours of lead-up entertainment. The game is being played in New York (UTC -4) and kick-off is at 4pm Sunday. What time should Mr Watson tune in to start watching exactly at kick-off?

An plan leaves Cairns (UTC +10) at 1pm on Sunday and flies to New York (UTC -4). The flight takes 24 hours. What will the time and day be in New York when the plane lands?