Using the monthly payments formula, it is found that a car with a value of at most $25,293.
<h3>What is the monthly payment formula?</h3>
It is given by:
![A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}](https://tex.z-dn.net/?f=A%20%3D%20P%5Cfrac%7B%5Cfrac%7Br%7D%7B12%7D%5Cleft%281%20%2B%20%5Cfrac%7Br%7D%7B12%7D%5Cright%29%5En%7D%7B%5Cleft%281%20%2B%20%5Cfrac%7Br%7D%7B12%7D%5Cright%29%5En%20-%201%7D)
In which:
- n is the number of payments.
In this problem, we have that the parameters are given as follows:
A = 400, n = 70, r = 0.035.
Hence:
r/12 = 0.035/12 = 0.002917.
Then we have to solve for P to find the maximum value of the car.
![A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}](https://tex.z-dn.net/?f=A%20%3D%20P%5Cfrac%7B%5Cfrac%7Br%7D%7B12%7D%5Cleft%281%20%2B%20%5Cfrac%7Br%7D%7B12%7D%5Cright%29%5En%7D%7B%5Cleft%281%20%2B%20%5Cfrac%7Br%7D%7B12%7D%5Cright%29%5En%20-%201%7D)
![400 = P\frac{0.002917(1.002917)^{70}}{(1.002917)^{70}-1}](https://tex.z-dn.net/?f=400%20%3D%20P%5Cfrac%7B0.002917%281.002917%29%5E%7B70%7D%7D%7B%281.002917%29%5E%7B70%7D-1%7D)
![P = \frac{400[(1.002917)^{70}-1]}{0.002917(1.002917)^{70}}](https://tex.z-dn.net/?f=P%20%3D%20%5Cfrac%7B400%5B%281.002917%29%5E%7B70%7D-1%5D%7D%7B0.002917%281.002917%29%5E%7B70%7D%7D)
P = $25,293.
More can be learned about the monthly payments formula at brainly.com/question/26267630
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Answer:
The correct option is 1.
Step-by-step explanation:
Inconsistent system: If the given system has no solutions, then it is an inconsistent system.
Consistent and independent system: If the given system has only one solutions, then it is an consistent and independent system.
Consistent and dependent system: If the given system has many solutions, then it is an consistent and dependent system.
The given equations are
.... (1)
..... (2)
Add both equations.
![x+3y-x+2y=18+7](https://tex.z-dn.net/?f=x%2B3y-x%2B2y%3D18%2B7)
![5y=25](https://tex.z-dn.net/?f=5y%3D25)
![y=5](https://tex.z-dn.net/?f=y%3D5)
Substitute this value in equation (1).
![x+3(5)=18](https://tex.z-dn.net/?f=x%2B3%285%29%3D18)
![x+15=18](https://tex.z-dn.net/?f=x%2B15%3D18)
![x=3](https://tex.z-dn.net/?f=x%3D3)
The system of equations has only one solution, i.e.,(3,5).
Therefore the given system is consistent and independent. Option 1 is correct.
Answer:
6
Step-by-step explanation:
27/4= 6 3/4
That doesn't work because we need whole numbers.
24/4=6
That is the solution. For $24 we buy 6 tubes for $4 each and we have $3 left over.
Answer: 7
Step-by-step explanation: 26/2 = 13 _+6=13? 7
Step-by-step explanation:
The answer is -9