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NSWMaths Standard 2Quick questions

Year 11: Financial Mathematics

Quick questions on Straight-line depreciation for HSC Maths Standard 2

2short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is depreciation as a falling straight line?
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Because the same $5500 comes off every year, the value of the ute drops in equal steps, the signature of a straight line. Building the table from S=480005500nS = 48\,000 - 5500n gives
What is a rate given as a percentage of the original cost?
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Sometimes the depreciation is quoted not as a dollar amount but as a percentage of the original cost each year. This is still straight-line depreciation, because the percentage is always taken from the same purchase price, so the dollar amount removed each year is constant. Convert the rate to a dollar amount once with D=rate×V0D = \text{rate} \times V_0, then use S=V0DnS = V_0 - Dn as normal. For office equipment bought at $15\,000 depreciating at 20%20\% of the original cost a year, the annual amount is D=0.20×15000=3000D = 0.20 \times 15\,000 = 3000, so the equipment loses the same $3000 every year and the value falls in a straight line.

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