Answer:
on what? I will, but on what?
Answer:
The Schusters will have to pay $2,034 in the sixth month.
Step-by-step explanation:
Since Carpet King is trying to increase sales, and it has instituted a new promotion by which all purchases can be paid on the installment plan with no interest, as long as the total is paid in full within six months, and there is a $20 minimum monthly payment required, if the Schuster family buys carpeting for $2,134 and makes only the minimum payment for five months, to determine how much will they have to pay in the sixth month, the following calculation must be performed:
2134 - (5 x 20) = X
2134 - 100 = X
2034 = X
Therefore, the Schusters will have to pay $ 2,034 in the sixth month.
Answer:
16 cups
Step-by-step explanation:
64 × .25=16
It’s a prediction so basically an estimate of how much students he thought were going to be there. An actual number is the real total.
Answer:
The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.
Step-by-step explanation:
After consuming the energy drink, the amount of caffeine in Ben's body decreases exponentially.
This means that the amount of caffeine after t hours is given by:
![A(t) = A(0)e^{-kt}](https://tex.z-dn.net/?f=A%28t%29%20%3D%20A%280%29e%5E%7B-kt%7D)
In which A(0) is the initial amount and k is the decay rate, as a decimal.
The 10-hour decay factor for the number of mg of caffeine in Ben's body is 0.2722.
1 - 0.2722 = 0.7278, thus,
. We use this to find k.
![A(t) = A(0)e^{-kt}](https://tex.z-dn.net/?f=A%28t%29%20%3D%20A%280%29e%5E%7B-kt%7D)
![0.7278A(0) = A(0)e^{-10k}](https://tex.z-dn.net/?f=0.7278A%280%29%20%3D%20A%280%29e%5E%7B-10k%7D)
![e^{-10k} = 0.7278](https://tex.z-dn.net/?f=e%5E%7B-10k%7D%20%3D%200.7278)
![\ln{e^{-10k}} = \ln{0.7278}](https://tex.z-dn.net/?f=%5Cln%7Be%5E%7B-10k%7D%7D%20%3D%20%5Cln%7B0.7278%7D)
![-10k = \ln{0.7278}](https://tex.z-dn.net/?f=-10k%20%3D%20%5Cln%7B0.7278%7D)
![k = -\frac{\ln{0.7278}}{10}](https://tex.z-dn.net/?f=k%20%3D%20-%5Cfrac%7B%5Cln%7B0.7278%7D%7D%7B10%7D)
![k = 0.03177289938 ](https://tex.z-dn.net/?f=k%20%3D%200.03177289938%0A)
Then
![A(t) = A(0)e^{-0.03177289938t}](https://tex.z-dn.net/?f=A%28t%29%20%3D%20A%280%29e%5E%7B-0.03177289938t%7D)
What is the 5-hour growth/decay factor for the number of mg of caffeine in Ben's body?
We have to find find A(5), as a function of A(0). So
![A(5) = A(0)e^{-0.03177289938*5}](https://tex.z-dn.net/?f=A%285%29%20%3D%20A%280%29e%5E%7B-0.03177289938%2A5%7D)
![A(5) = 0.8531](https://tex.z-dn.net/?f=A%285%29%20%3D%200.8531)
The decay factor is:
1 - 0.8531 = 0.1469
The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.