Answer: y = 6280(0.87)^x
Step-by-step explanation:
If the office equipment depreciates at a rate of 13% each year, then the rate of depreciation is exponential.
We would apply the formula for exponential decay which is expressed as
y = b(1 - r)^x
Where
y represents the value of the office equipment after t years.
x represents the number of years.
b represents the initial value of the office equipment.
r represents rate of decay.
From the information given,
y = $628
r = 13% = 13/100 = 0.13
Therefore, the equation that represents the value of the equipment after x years is
y = 6280(1 - 0.13)^x
y = 6280(0.87)^x
Answer:
Step-by-step explanation:
I am not sure
Answer:
The weight of the turkey is related linearly to the time taken to cook it, however, they are not proportional to each other.
Explanation:
1- Direct proportional means that when the weight of the turkey increases, the time required to cook it increase with the same amount, and vice versa
2- Inverse proportional means that when the weight of the turkey increases, the time required to cook it decrease, and vice versa
2- No proportionality relation means that the two are not related to each other.
Now, for the given problem, we are given that:
i. 10lb turkey takes 3 hours to cook
ii. an additional 12 minutes is added for every extra 1lb of turkey
Therefore:
If we have 10lb turkey ......> time required = 3 hr
If we have 11lb turkey .......> time required = 3 hr + 12 min
If we have 12lb turkey .......> time required = 3 hr + 12 min + 12 min
If we have 13lb turkey .......> time required = 3 hr + 12 min + 12 min + 12 min
Noticing the pattern, we can find that:
time required to cook the turkey increases as the weight of the turkey increases but not at the same rate.
This means that when the weight of the turkey is doubled, the time increases, however, it is not doubled.
This means that the weight of the turkey is related linearly to the time taken to cook it, however, they are not proportional to each other.
Hope this helps :)
The least common denominator is 5y, and can be obtained by multiplying
-1/y by 5/5 to get -5/5y.
If we add the numbers using the least common denominator, we get:
-5/5y + 2/5y = -3/5y
Well, you only listed three pieces so far. But I can already see a
pattern emerging from those three.
Of course, the next piece might return to 1-1/2 inches. I mean,
the pattern can't just keep on going and increasing forever or
Cody would eventually wind up with pieces that are a mile long.
It must eventually return to 1-1/2 inches and start over from there.
From the first piece to the second one, and from the second one
to the third one, the increase is 5/16 inch both times. So if the
pattern is more than three pieces long before it starts over from
1-1/2, then the next piece is
(2-1/8 + 5/16) = (2-2/16 + 5/16) = 2-7/16 inches .