Question

The value of a company's equipment is $33,000 and decreases at a rate of 12% each year. Write an exponential decay function for the value of the equipment after

tyears
Of(t) = .88t + 33000
Of(t) = 33000(88)
Of(t) = 0.88(33000)
Of(t) = 33000(12)

Answer 1

The exponential decay function for the company's equipment value is

`Of(t) = 33000 * (0.88)^t,` where t is the number of years since the initial value. Each year, the equipment value decreases by 12%.

Step-by-step explanation:

The exponential decay function for the value of the equipment can be written as:

`Of(t) = 33000 * (0.88)^t`

Here, t represents the number of years since the initial value of $33,000.

Each year, the value of the equipment decreases by 12%, which is equivalent to multiplying by 0.88 (100% - 12% = 88%).

For example, if we want to find the value after 5 years, we can substitute t = 5 into the function:

Of(5) = 33000 * (0.88)⁵ = $19,975.73

Answer 2

D

Step-by-step explanation: