so. i am in desperate need of help with my math homework as soon as possible please

Question

A machine costs $50,000. Its value depreciates by 15% after each year. Identify the graph of the sequence and the correct description of its pattern. Then identify the value of the equipment at the end of 8 years.

 

A.) exponential decay

a_n = 50000(0.85)ⁿ

a₈ = 50000(0.85)⁸ ≈ $13,624.53

 

 

B.) exponential growth

a_n = 50000(0.85)^{n − 1}

a₈ = 50000(0.85)⁷ ≈ $16,028.85

16,028.85

 

 

 C.) exponential growth

a_n = 50000(0.85)ⁿ

a₈ = 50000(0.85)⁸ ≈ $16,028.85

D.) exponential decay

a_n = 50000(0.85)^n-1

a₈ = 50000(0.85)⁷ ≈ $13,624.53

Answer 1

The general equation for exponential functions is y=a(b)^x

For yours, if I plug in the values:

y = 50000(0.85)⁸ ≈ $13,624.53

The answer that matches is A. (C was a possibility, but the answer given is actually year 7, not 8)