Answer:
The business which offers services needed by the citizens of the community, and which is most profitable. That is the best business.
Step-by-step explanation:
You didn't state which community you are referring to. However, the business that is best for any community is a business which offers services mostly needed by the citizens of the community, and which is most profitable.
we know that
If a ordered pair (x,y) is a solution of the equation, then the ordered pair must satisfy the equation
we have the equation
![7x-5y=28](https://tex.z-dn.net/?f=7x-5y%3D28)
Let's verify all the cases to determine the solution to the problem.
<u>case A)</u> point ![(-6,-14)](https://tex.z-dn.net/?f=%28-6%2C-14%29)
Substitute the values of x and y in the equation
![x=-6\\y=-14](https://tex.z-dn.net/?f=x%3D-6%5C%5Cy%3D-14)
![7(-6)-5(-14)=28](https://tex.z-dn.net/?f=7%28-6%29-5%28-14%29%3D28)
![-42+70=28](https://tex.z-dn.net/?f=-42%2B70%3D28)
-------> is true
therefore
The point
is a solution of the equation
<u>case B)</u> point ![(-1,-7)](https://tex.z-dn.net/?f=%28-1%2C-7%29)
Substitute the values of x and y in the equation
![x=-1\\y=-7](https://tex.z-dn.net/?f=x%3D-1%5C%5Cy%3D-7)
![7(-1)-5(-7)=28](https://tex.z-dn.net/?f=7%28-1%29-5%28-7%29%3D28)
![-7+35=28](https://tex.z-dn.net/?f=-7%2B35%3D28)
-------> is true
therefore
The point
is a solution of the equation
<u>case C)</u> point ![(4,10)](https://tex.z-dn.net/?f=%284%2C10%29)
Substitute the values of x and y in the equation
![x=4\\y=10](https://tex.z-dn.net/?f=x%3D4%5C%5Cy%3D10)
![7(4)-5(10)=28](https://tex.z-dn.net/?f=7%284%29-5%2810%29%3D28)
![28-50=28](https://tex.z-dn.net/?f=28-50%3D28)
-------> is not true
therefore
The point
is not a solution of the equation
<u>case D)</u> point ![(7,9)](https://tex.z-dn.net/?f=%287%2C9%29)
Substitute the values of x and y in the equation
![x=7\\y=9](https://tex.z-dn.net/?f=x%3D7%5C%5Cy%3D9)
![7(7)-5(9)=28](https://tex.z-dn.net/?f=7%287%29-5%289%29%3D28)
![49-45=28](https://tex.z-dn.net/?f=49-45%3D28)
-------> is not true
therefore
The point
is not a solution of the equation
therefore
<u>the answer is </u>
![(-6,-14)](https://tex.z-dn.net/?f=%28-6%2C-14%29)
![(-1,-7)](https://tex.z-dn.net/?f=%28-1%2C-7%29)
Answer:
24.2 years
Step-by-step explanation:
The basic formula is I = P * i * t, where I is interest, P is total principal (or profit), i is rate of interest per year, and t is total time in years. I = P * i * t can be rearranged to solve for t: t = I / (i * p).
In this question I = $6400, P = $3200 and i = 8.25%, so we plug in those numbers to get t = 6400 / (0.0825 * 3200), which solves to 24.2424 years.
Answer:
D=![\sqrt{(147-30\sqrt{10}}](https://tex.z-dn.net/?f=%5Csqrt%7B%28147-30%5Csqrt%7B10%7D%7D)
Step-by-step explanation:
Here we are required to find the distance between two coordinates. We will use the distance formula to find the distance
The distance formula is given as
![D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=D%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
Here we are given two coordinates as
![(6,5\sqrt{5} ) , (4,3\sqrt{2} )](https://tex.z-dn.net/?f=%286%2C5%5Csqrt%7B5%7D%20%29%20%2C%20%284%2C3%5Csqrt%7B2%7D%20%29)
Substituting these values in the Distance formula given above we get
![D=\sqrt{(6-4)^2+(5\sqrt{5} -3\sqrt{2}) ^2}](https://tex.z-dn.net/?f=D%3D%5Csqrt%7B%286-4%29%5E2%2B%285%5Csqrt%7B5%7D%20-3%5Csqrt%7B2%7D%29%20%5E2%7D)
![D=\sqrt{(2)^2+(5\sqrt{5})^2+(3\sqrt{2})^2-2*5\sqrt{5}*3\sqrt{2}}\\](https://tex.z-dn.net/?f=D%3D%5Csqrt%7B%282%29%5E2%2B%285%5Csqrt%7B5%7D%29%5E2%2B%283%5Csqrt%7B2%7D%29%5E2-2%2A5%5Csqrt%7B5%7D%2A3%5Csqrt%7B2%7D%7D%5C%5C)
![D=\sqrt{4+125+18-2*15\sqrt{10}}\\D=\sqrt{147-30\sqrt{10}}\\](https://tex.z-dn.net/?f=D%3D%5Csqrt%7B4%2B125%2B18-2%2A15%5Csqrt%7B10%7D%7D%5C%5CD%3D%5Csqrt%7B147-30%5Csqrt%7B10%7D%7D%5C%5C)
Hence this is our answer
Answer:
The Answer to this problem is 150
Step-by-step explanation: