Determine the monthly repayment on a reducing balance loan of $720 000 at 4.8% p.a. over 25 years.

Give your answer to the nearest dollar.

A farmer bought a tractor for $45100 at the start of 2012. It depreciates by $2700 each year.

Identify the mathematical model to determine the value of the tractor.

Answer in the form y=mx+c.

Rosa borrowed $32 000 as a reducing balance loan at 4.8% p.a. compounding monthly, with monthly

repayments of $278.

How much will Rosa owe after 2 months, to the nearest cent?

A conference is being held in Singapore (UTC +8).

A conference attendee got a flight from Brisbane (UTC +10) at 10:30 am Brisbane time on

Monday 7 December.

If the flight from Brisbane to Singapore took 7 hours and 40 minutes, determine the time,

day and date in Singapore when the flight lands.

The number of students (s) and the number of computers (c) in four secondary schools in Queensland are

shown in the table below.

Determine a linear relationship for this data by fitting a least-squares line to the data.

The approximate coordinates of Geelong, Australia, are 38°09′ S, 144°21′ E and Kushiro, Japan,

are 43°01′ N, 144°21′ E.

Calculate the distance between Geelong and Kushiro to the nearest kilometre.

Seoul, South Korea, is located at approximately 37.6° N, 127.0° E. San Francisco, United States of

America, is located at approximately 37.6° N, 122.4° W.

Determine the shortest distance between these

two cities to the nearest kilometre.

The network diagram below illustrates the time taken in days for 10 different activities, labelled A–K,

involved in the completion of a task.

Identify the critical path for the diagram above.

(answer: R, H, etc)