Year 12 Maths Advanced Module 7 ~35 min Checkpoint 4 of 4

Checkpoint 4, Module Synthesis

Lessons 16–20 cover investment comparison, consumer finance, savings goals, technology, and module synthesis. This final checkpoint tests your ability to integrate knowledge across the entire module. Aim for 85%+ before attempting the Module Quiz.

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Comprehensive Answers

Multiple Choice Explanations

Q1. Net return = gross - fees = 7% - 1.2% = 5.8%. Answer: B

Q2. After 10 years: term deposit $40{,}000(1.045)^{10} = \$62{,}119$. Managed fund $40{,}000(1.058)^{10} = \$70{,}294$. Difference $\approx \$8{,}175$. Answer: C

Q3. The hidden cost of 0% finance is the inflated purchase price. Answer: A

Q4. =PMT(0.052/12, 360, 500000) returns the monthly repayment. Answer: D

Q5. Credit cards typically have the highest interest rates (15–20%). Answer: C

Q6. $a = 50{,}000 \times 0.00333 / [(1.00333)^{60} - 1] = \$754$/month. Answer: B

Q7. Technology is for verification; HSC requires formula working. Answer: B

Q8. Offset reduces the balance on which interest is calculated. Answer: A

Short Answer Model Answers

Q9 (3 marks): (a) Term deposit: $30{,}000(1.045)^{15} = \$58{,}058$ [1]. Managed fund: net = 5.8%, $30{,}000(1.058)^{15} = \$69{,}889$ [1]. (b) Difference $= \$11{,}830$ [1].

Q10 (3 marks): (a) $M = 20{,}000 \times 0.01666 / [1 - (1.01666)^{-24}] = \$1{,}017.84$/month [2]. (b) Total cost $= 1{,}017.84 \times 24 = \$24{,}428$ [1].

Q11 (4 marks): (a) =PMT(0.048/12, 300, 450000) returns $-\$2{,}578.49$ [1]. (b) Total interest $= 2{,}578.49 \times 300 - 450{,}000 = \$323{,}546$ [2]. (c) Extending term reduces monthly payment but dramatically increases total interest [1].

Mark checkpoint as complete

Tick when you've finished all questions and reviewed your answers.