Question

Amy owns a graphic design store. She purchases a new printer to use in her store.

The printer depreciates by a fixed rate of 14% per year. The function
V = 2,400(1 – 0.14)t can be used to model the value of the printer in dollars after
t years.

Question:

Part A: Explain what the parameter 2,400 represents in the equation of the function.
Part B: What is the factor by which the printer depreciates each year?
Part C: Amy also considered purchasing a printer that costs $4,000 and depreciates by 25% each year. Which printer will have more value in 5 years? Justify your answer by showing/explaining your work.

i really need help :( im working hard to get all my school work done and this one thing is making my head hurt :(

Answer 1

y = 25,000 • 0.95^x
at x = 1a0 = y = 25,000 • 0.95^x a0 = 25,000 • 0.95^(1)a0 = 23750.00
at x = 2a1 = y = 25,000 • 0.95^xa1 = 25,000 • 0.95^( 2 )a1 = 22562.50
at x = 3a2 = y = 25,000 • 0.95^xa2 = 25,000 • 0.95^( 3 )a2 = 21434.38