WACE Mathematics Applications sequences, finance and networks: exam-style practice quiz

Jai borrows $20 000 at 7.2 percent per annum, compounding monthly, and repays $400 at the end of each month. Which recurrence relation models the balance $A_n$ after $n$ months?

Section One style. An arithmetic sequence has $T_1 = 7$ and common difference 4. The value of $T_{20}$ is:

A town of 1200 people grows by 5 percent each year. Its population after 6 years is closest to:

The effective annual interest rate for a nominal rate of 6 percent per annum compounding quarterly is closest to:

A $600 000 fund is invested at 4.5 percent per annum with interest paid quarterly. The quarterly payment that can be made as a perpetuity is:

A loan balance is modelled by $A_{n+1} = 1.004A_n - 900$ with $A_0 = 150\,000$, where $n$ is in months. The balance after two months is closest to:

A graph has five vertices and seven edges. Four of the vertices have degrees 3, 3, 2 and 2. The degree of the fifth vertex is:

A connected graph has vertices A, B, C, D and E with degrees 2, 3, 4, 3 and 2 respectively. Which statement is correct?

A network has edges PQ 6, PR 2, QR 4, QS 3, RS 7, RT 5 and ST 4. The total weight of a minimum spanning tree is:

A project has activities A (4 days, no predecessor), B (6 days, no predecessor), C (3 days, after A), D (5 days, after A), E (2 days, after B and C) and F (4 days, after D and E). The minimum completion time and the float of activity B are:

In a flow network, a cut separates the source side {S, A} from the sink side {B, T}. The edges crossing the cut are S to B (capacity 5), A to B (capacity 4), A to T (capacity 6) and B to A (capacity 3). The capacity of the cut is:

In the Hungarian algorithm for a 3 by 3 assignment problem, after row and column reduction all the zeros can be covered by just 2 lines. What is the next step?