Final answer:
To find out how much the piece of machinery will be worth in 8 years, use the formula for exponential decay.
Step-by-step explanation:
To find out how much the piece of machinery will be worth in 8 years, we can use the formula for exponential decay:
final value = initial value × (1 - rate of depreciation)^number of years
In this case, the initial value is $370,000 and the rate of depreciation is 6% per year. Plugging in these values, we get:
final value = $370,000 × (1 - 0.06)^8
Calculating this, we find that the piece of machinery will be worth approximately $213,922.79 in 8 years.