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10 October, 14:56

Merlin industries bought a laptop for $2100. It is expected to depreciate at a rate of 14% per year. What will the value of the laptop be in 5 years? Round to the nearest dollar.

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  1. 10 October, 16:41
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    This is exponential growth/decay function, in this case decay, of the form:

    f=ir^t, f=final value, i=initial value, r=common ratio or "rate", and t=times rate is applied or "time".

    In this case i=2100 and r = (100-14) / 100=0.86 so the equation is:

    f=2100 (0.86^t) and in five years ...

    f (5) = 2100 (0.86^5)

    f (5) ≈$987.90 (to nearest whole cent)
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