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The value of the boat after 4 years will be $11622.61 if a boat with a value of $27,000 depreciates at a rate of 19% per year.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

We have:

lf a boat with a value of $27,000 depreciates at a rate of 19% per year,

Let's suppose the value is depreciating exponentially:

As we know, the exponential function rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = a×

where a is a constant and a>1

The value after 4 years = current value( 1- r)ⁿ

The value after 4 years = 27000(1 - 19%)⁴

The value after 4 years = 27000(1 - 0.19)⁴

The value after 4 years = $11622.61

Thus, the value of the boat after 4 years will be $11622.61 if a boat with a value of $27,000 depreciates at a rate of 19% per year.

Learn more about the percentage here:

brainly.com/question/8011401

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