Answer:
$110.37
Step-by-step explanation:
Assuming the monthly payment is made at the beginning of the month, the formula for the monthly payment P that gives future value A will be ...
... A = P(1+r/12)((1+r/12)^(nt) -1)/(r/12) . . . . n=compoundings/year, t=years
... 14000 = P(1+.11/12)((1+.11/12)^(12·7) -1)/(.11/12)
... 14000 = P(12.11)((1+.11/12)^84 -1)/0.11 ≈ P·126.84714 . . . . fill in the given values
... P = 14000/126.84714 = 110.37 . . . . . divide by the coefficient of P
They should deposit $110.37 at the beginning of each month.
Answer:
![(1, -2)](https://tex.z-dn.net/?f=%281%2C%20-2%29)
Step-by-step explanation:
<u>Step 1: Set the second equation into the first
</u>
![x + (-2x) = -1](https://tex.z-dn.net/?f=x%20%2B%20%28-2x%29%20%3D%20-1)
![x - 2x = -1](https://tex.z-dn.net/?f=x%20-%202x%20%3D%20-1)
![-x / -1 = -1 / -1](https://tex.z-dn.net/?f=-x%20%2F%20-1%20%3D%20-1%20%2F%20-1)
![x = 1](https://tex.z-dn.net/?f=x%20%3D%201)
<u>Step 2: Solve the second equation
</u>
![y = -2(1)](https://tex.z-dn.net/?f=y%20%3D%20-2%281%29)
![y = -2](https://tex.z-dn.net/?f=y%20%3D%20-2)
Answer: ![(1, -2)](https://tex.z-dn.net/?f=%281%2C%20-2%29)
Answer:
The answer is simply A. (3 cube root 8)
Step-by-step explanation:
This is the solution because the cube root of 8 makes 2. All of the other options give a decimal/unsimplified number...
Hope this helps! :)
You have to move your variables around.<span />
Answer:
The width of the scale model is 33 inches.
Step-by-step explanation:
This question is solved making a relation with the scale model.
In the scale, 3 inches are worth 11 real feet.
The actual width of the building is 121 feet, so we find it's scale by a rule of three.
3 inches - 11 feet
x inches - 121 feet
![11x = 121*3](https://tex.z-dn.net/?f=11x%20%3D%20121%2A3)
Simplifying by 3, both sides
![x = 11*3 = 33](https://tex.z-dn.net/?f=x%20%3D%2011%2A3%20%3D%2033)
The width of the scale model is 33 inches.