# A $17,900 truck is depreciated by 15.5% over 5 years. What's the truck worth at the end of 5 years?

If taken as written (depreciating 15.5% in total over the course of 5 years) = $15,125.50. If straight-line depreciation 15.5% each year, = $4,027.50. If declining balance, = $7,711.46.

If the van depreciates by 15.5% in total over 5 years, then we'd have:

Therefore,

However, depreciation rates are usually expressed as a per year measure and so I suspect the question is asking about a van that is depreciating by 15.5% per year over 5 years.

There are a couple of ways depreciation works. One way is straight-line depreciation, where we divide the original price and divide it into 15.5% chunks. If we take away 5 of those chunks, we get:

Another way to do depreciation is with declining balance depreciation (which means that we apply the depreciation percentage to the value of the van each year - and so as the value decreases, so does the amount of depreciation). This gives:

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Depreciation is usually regarded annually, because during the year the value drops from what it was at the start of the year.

Note that this is the same as:

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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