a boat costs $16,600 and decreases in value by 14% per year. how much will the boat be worth after 11 years?

In the end, $16600 has turned into $3159.30.

Step-by-step explanation:

Notice that at each compounding step above, the new principal can be found by applying this formula:

NewPrincipal = CurrentPrincipal * (1 + r)

where r is your interest rate at the time of compounding, in this case - 14% (or - 0.14 in the calculations).

As an example, look at the first compounding step:

$14276.00=$16600.00 * (1 + - 0.14).

And the second:

$12277.36=$14276.00 * (1 + - 0.14).

In fact, the whole compound interest amount boils down to multiplying (1+r), or (1+-0.14), times your original principal 11 times (11 years at 1 compouding (s) per year).

Mathematically though, this is equivalent to multiplying your orginial principal by the factor (1+-0.14) 11.

If we do this, we'll get that your final amount is:

$16600.00 * (1+-0.14) 11=$3159.30