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6.05 Analysing depreciation

Interactive practice questions

A 2012 Holden Commodore is priced at $\$33000$$33000 and depreciates by approximately $\$4000$$4000 per year.

a

Complete the following table:

Year Price (dollars)
$0$0 $33000$33000
$1$1 $\editable{}$
$2$2 $\editable{}$
$3$3 $\editable{}$
$4$4 $\editable{}$
$5$5 $\editable{}$
b

By this calculation method, will the car ever be worth nothing?

Yes

A

No

B
c

This depreciation method is known as:

Straight Line Depreciation

A

Constant Change Depreciation

B

Declining Balance Depreciation

C

Zero Return Depreciation

D
Easy
2min

The spectator attendance at an annual sporting event was recorded for four consecutive years from its first year of running: $44500$44500, $43800$43800, $43100$43100, $42400$42400

Easy
1min

It is estimated that a house purchased for $\$254500$$254500 will depreciate by an average of $\$9400$$9400 each year.

Easy
1min

The graph shows the depreciation of a car's value over 4 years.

Easy
3min
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Outcomes

ACMGM070

use arithmetic sequences to model and analyse practical situations involving linear growth or decay; for example, analysing a simple interest loan or investment, calculating a taxi fare based on the flag fall and the charge per kilometre, or calculating the value of an office photocopier at the end of each year using the straight-line method or the unit cost method of depreciation

ACMGM074

use geometric sequences to model and analyse (numerically, or graphically only) practical problems involving geometric growth and decay; for example, analysing a compound interest loan or investment, the growth of a bacterial population that doubles in size each hour, the decreasing height of the bounce of a ball at each bounce; or calculating the value of office furniture at the end of each year using the declining (reducing) balance method to depreciate

ACMGM096

with the aid of a calculator or computer-based financial software, solve problems involving compound interest loans or investments; for example, determining the future value of a loan, the number of compounding periods for an investment to exceed a given value, the interest rate needed for an investment to exceed a given value

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