An office machine purchased new for $3600
loses $400 each year.
How many years will it take for the office machine's value to equal zero?
A. 5
B. 6
C. 9
D. 12
The office machine loses $400 each year, so we can set up the equation:
3600 - 400x = 0, where x is the number of years.
Simplifying the equation, we have:
-400x = -3600
Dividing both sides by -400, we get:
x = 9/1
Therefore, it will take 9 years for the office machine's value to equal zero.
The correct answer is C. 9
To determine how many years it will take for the office machine's value to equal zero, we can use the information given: the machine loses $400 each year.
Let's calculate the number of years it takes for the value to reach zero:
Initial value: $3600
Year 1: $3600 - $400 = $3200
Year 2: $3200 - $400 = $2800
Year 3: $2800 - $400 = $2400
Year 4: $2400 - $400 = $2000
Year 5: $2000 - $400 = $1600
Year 6: $1600 - $400 = $1200
Year 7: $1200 - $400 = $800
Year 8: $800 - $400 = $400
Year 9: $400 - $400 = $0
Therefore, it will take 9 years for the office machine's value to equal zero.
The correct answer is C. 9.
To figure out how many years it will take for the office machine's value to equal zero, we need to divide the initial cost of the office machine ($3600) by the amount it loses each year ($400).
The formula to calculate the number of years is:
Number of years = Initial cost of the office machine / Annual loss
Therefore, the number of years is:
Number of years = $3600 / $400 = 9 years
So, the correct answer is C. 9 years.