Question

A boat costs 19,200 and decreases in value by 12% per year. how much will the boat be worth after 5 years

Answer 1

 it is $10,132.45 or multiply the original value by .88 five times, once for each year

Answer 2

Find out the how much will the boat be worth after 5 years.

To prove

As given

A boat costs $19,200 and decreases in value by 12% per year.

This is denoted by the exponential decreasing function.

y = a (1 - i)^{t}

Where y is the intial value, i is the interest in the decimal form and t is the time.

Here

a = $19,200

t = 5 years

i = 12 %

12% is written in the decimal form

`= (12)/(100)`

= 0.12

Put in the formula

y = 19200(1 - 0.12)^{5}

y = 19200 × 0.527732

y = $10132.5 (Approx)

Therefore the boat worth after 5 years will be $10132.5 (Approx)