Modelling Geometric Growth and Decay (VCE SSCE General Mathematics): Quizzes

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Modelling Geometric Growth and Decay
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What characterizes geometric growth or decay?

Change by same percentage at regular times

If R=1.3R = 1.3 in Vn+1=RVnV_{n+1} = RV_n, what does the sequence show?

Geometric growth

Given V0=2V_0 = 2 and Vn+1=4VnV_{n+1} = 4V_n, what is V2V_2?

3232

Given V0=16V_0 = 16 and Vn+1=0.5VnV_{n+1} = 0.5V_n, what is V3V_3?

22

For compound interest at 5%5\% per annum, what is RR in Vn+1=RVnV_{n+1} = RV_n?

1.051.05

If 3000 USD earns 8%8\% compound interest yearly, what is the value after 1 year?

3240 USD

For reducing balance depreciation at 12%12\% per annum, what is RR?

0.880.88

An asset worth 5000 USD depreciates at 10%10\% yearly. What is its value after 2 years?

4050 USD

Which formula is for compound interest if rr is the annual percentage rate?

R=1+r100R = 1 + \frac{r}{100}

If V0=2000V_0 = 2000, Vn+1=1.075VnV_{n+1} = 1.075V_n, what is V2V_2?

2311.252311.25

Explore VCE SSCE General Mathematics Revision Notes by Topics

Sequences and Recurrence Relations

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Explore VCE SSCE General Mathematics Model Answers by Topics

Sequences and Recurrence Relations

Modelling Linear Growth and Decay

Using an Explicit Rule for Linear Growth or Decay

Modelling Geometric Growth and Decay

Using an Explicit Rule for Geometric Growth or Decay

Interest Rates Over Different Time Periods and Effective Interest Rates

Explore VCE SSCE General Mathematics Flashcards by Topics

Sequences and Recurrence Relations

Modelling Linear Growth and Decay

Using an Explicit Rule for Linear Growth or Decay

Modelling Geometric Growth and Decay

Using an Explicit Rule for Geometric Growth or Decay

Interest Rates Over Different Time Periods and Effective Interest Rates

Explore VCE SSCE General Mathematics Exam Questions by Topics

Sequences and Recurrence Relations

Modelling Linear Growth and Decay

Using an Explicit Rule for Linear Growth or Decay

Modelling Geometric Growth and Decay

Using an Explicit Rule for Geometric Growth or Decay

Interest Rates Over Different Time Periods and Effective Interest Rates

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