Depreciation model

Depreciation model

Secondary 3
TGM Original Questions

The value, \(V\) dollars, of a machine \(t\) years after purchase is modelled by \(V=3000e^{-0.25t}+500\). (i) State the initial value of the machine. (ii) Find its value after \(4\) years. (iii) State the value that \(V\) approaches after many years.

Solution:

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Answer:(i) \(\$3500\) (ii) \(\$1600\) (3 s.f.) (iii) \(V\) approaches \(\$500\).

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