Finance Applications Using Arithmetic Sequences and Recurrence Relations (VCE SSCE General Mathematics): Quizzes

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Finance Applications Using Arithmetic Sequences and Recurrence Relations
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What is linear growth?

Quantity increases by same fixed amount

An investment of 5000 USD earns simple interest at 6% per year. What is DD?

300 USD

Which recurrence relation models simple interest with principal 2000 USD and D=150D = 150?

V0=2000V_0 = 2000, Vn+1=Vn+150V_{n+1} = V_n + 150

If V0=3000V_0 = 3000 and Vn+1=Vn+200V_{n+1} = V_n + 200, what is V2V_2?

3400 USD

What is flat rate depreciation?

Asset loses same fixed amount each period

A car worth 20,000 USD depreciates at 8% per year. What is DD?

1600 USD

Unit cost depreciation is based on what factor?

How much the asset is used

Using Vn=V0+n×DV_n = V_0 + n \times D, find V10V_{10} if V0=5000V_0 = 5000 and D=300D = 300.

8000 USD

For linear decay, what is true about DD?

D<0D < 0 (negative)

If n=23.4n = 23.4 years when solving for time, what should you report?

24 years

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