A 20000 business computer depreciates at a rate of 15% per year. What is the following equations would model the value of the computer..
Y=20000 (.15)
Y=20000 (.85)
Y=20000 (1.15)
Y=20000 +15x
.85
20000 is less than the greatest 7digit number
The equation that would model the value of the computer over time is:
Y = 20000(1 - 0.15)^x
where Y represents the value of the computer after x years.
The equation that would model the value of the computer is Y = 20000 * (1 - 0.15)^x, where x represents the number of years.
To understand why this equation is appropriate, we need to consider how depreciation works. Depreciation refers to the decrease in value of an asset over time. In this case, the computer is depreciating at a rate of 15% per year. This means that each year, the value of the computer decreases by 15% of its current value.
To calculate the new value of the computer after each year, we need to multiply the previous year's value by (1 - 0.15), which represents a decrease of 15%. This is why the equation is Y = 20000 * (1 - 0.15)^x, where x is the number of years.
Let's break down the equation further:
- Y represents the value of the computer after x years.
- 20000 represents the initial value of the computer.
- (1 - 0.15) represents the decrease in value per year (85% of the previous year's value).
- ^x represents the number of years the computer has been depreciated.
By plugging in different values of x into the equation, you can calculate the value of the computer after a certain number of years. For example, if you want to find the value after 3 years, you would substitute x = 3 into the equation and solve for Y.