HSC Multiple Choice Questions - Annuities, Data, Networks

• $1070.00

• $1071.23

• $1822.50

• $2070.00

Find the future value of an annuity of $3000 per year for 6 years at 4% p.a. compounded annually.

• $6633

• $12 738

• $18 924

• $19 899

Find the future value of an annuity of $800 per month for 4 months at 12% p.a. compounded

monthly.

• $3248

• $3347

• $4060

• $38 976

Find the future value of an annuity of $9000 per quarter for 1 year at 6% p.a. compounded

quarterly.

• $4 091

• $36 540

• $36 819

• $147 276

William saves $2400 by the end of each year and invests it into an account earning 3.5% p.a.

compound interest. What is the future value of the investment after 8 years?

• $9052.00

• $21 340.80

• $21 724.80

• $22 113.60

A loan is modelled by the recurrence relation  $V_{n+1}=V_n\times1.007-400$  where  $V_n$   is the balance of the loan after n payments and  $V_0=25000$  . What is the balance of the loan after four payments?

• $24 775

• $24 091

• $25 575

• $27 324

Which of the following vertices has the highest degree?

• Vertex B

• Vertex C

• Vertex D

• Vertex E

How many edges are in the network diagram?

• 4

• 5

• 6

• 7

Which of the following is a valid path?

• A–E–B–C

• C–D–A–E–B–A

• C–D–A–E–B–C

• A–E–B

The sequence C–D–A–E–B represents:

• a walk only

• a path

• a trail

• a cycle