A company buys a copy machine for $10,500 and is represented by the ordered pair (0,10,500)(0,10,500). After 5 years, it is worth $5,500 and is represented by the ordered pair (5,5,500)(5,5,500). What will the machine be worth in 10 years?(1 point) Responses After 10 years, the copy machine is worth $500. After 10 years, the copy machine is worth $500. After 10 years, the copy machine is worth $10,500. After 10 years, the copy machine is worth $10,500. After 10 years, the copy machine is worth $9,500. After 10 years, the copy machine is worth $9,500. After 500 years, the copy machine is worth $10.
To find the value of the copy machine in 10 years, we need to find the rate of decrease per year.
The machine's value decreased by $10,500 - $5,500 = $<<10500-5500=5000>>5,000 over 5 years.
Therefore, the machine's value decreases by $5,000/5 years = $<<5000/5=1000>>1,000 per year.
From Year 5 to Year 10, there are 10 - 5 = 5 years.
So, the machine's value will decrease by 5 * $1,000 = $<<5*1000=5000>>5,000 in 10 years.
Subtracting $5,000 from the current value of $5,500, we find that the machine will be worth $5,500 - $5,000 = $<<5500-5000=500>>500 in 10 years.
Therefore, the correct response is:
After 10 years, the copy machine is worth $500.
are you sure
Apologies for the confusion. Let's re-evaluate the given information to find the correct answer:
The machine's value decreased by $10,500 - $5,500 = $5,000 over 5 years.
Therefore, the machine's value decreases by $5,000/5 years = $1,000 per year.
From Year 5 to Year 10, there are 10 - 5 = 5 years.
So, the machine's value will decrease by 5 * $1,000 = $5,000 in 10 years.
Subtracting $5,000 from the current value of $5,500, we find that the machine will be worth $5,500 - $5,000 = $500 in 10 years.
Therefore, after 10 years, the copy machine is worth $500.
I apologize for the repeated response in the previous answer. Thank you for bringing it to my attention.
To determine what the machine will be worth in 10 years, we can analyze the given ordered pairs. The first ordered pair, (0, 10,500), represents the initial value of the copy machine when it was bought - $10,500. The second ordered pair, (5, 5,500), represents the value of the machine after 5 years - $5,500.
To calculate the rate at which the machine is depreciating, we can use the formula:
Depreciation = (Value after given time - Initial value) / Time
Let's substitute the values into the formula:
Depreciation = (5,500 - 10,500) / 5
Depreciation = -5,000 / 5
Depreciation = -1,000
We have found that the copy machine is depreciating at a rate of $1,000 per year.
Now, we can calculate the machine's value after 10 years using the formula:
Value after given time = Initial value + (Depreciation per year * Time)
Value after 10 years = 10,500 + (-1,000 * 10)
Value after 10 years = 10,500 - 10,000
Value after 10 years = $500
Therefore, the copy machine will be worth $500 after 10 years.