Answer:63
Step-by-step explanation:
The answer to this equation is 2
Answer:
Part 1) The expression for the perimeter is
or 
Part 2) The perimeter when z = 15 ft. is 
Step-by-step explanation:
Part 1)
we have

Find the roots of the quadratic equation
Equate the equation to zero

Complete the square
Group terms that contain the same variable, and move the constant to the opposite side of the equation

Factor the leading coefficient


Complete the square. Remember to balance the equation by adding the same constants to each side


Rewrite as perfect squares

-----> root with multiplicity 2
so
The area is equal to
![A=625(z-0.12)(z-0.12)=[25(z-0.12)][25(z-0.12)]=(25z-3)^{2}](https://tex.z-dn.net/?f=A%3D625%28z-0.12%29%28z-0.12%29%3D%5B25%28z-0.12%29%5D%5B25%28z-0.12%29%5D%3D%2825z-3%29%5E%7B2%7D)
The length side of the square is 
therefore
The perimeter is equal to



Part 2) Find the perimeter when z = 15 ft.
we have

substitute the value of z

Answer:
B
Step-by-step explanation:
Our equation is as follows, B(c)=1000(1+r)^3. We are being asked to manipulate the equation and have it be r equals in order to solve for an interest rate when given a balance B. To solve the equation for the variable r, we must isolate r by completing order of operations or PEMDAS backwards.
SADMEP allows us to undo subtraction, addition, and etc in the correct order. We have no subtraction or addition outside of more complex operations. So we move to multiplication or division.
We divide both sides by 1000.

We simplify the right side.

We need to now undo the exponent of 3 by using the inverse, a cube root.
![\sqrt[3]{\frac{B}{1000}} =\sqrt[3]{(1+r)^{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7BB%7D%7B1000%7D%7D%20%3D%5Csqrt%5B3%5D%7B%281%2Br%29%5E%7B3%7D%7D)
We simplify the right side.
![\sqrt[3]{\frac{B}{1000}} =(1+r)](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7BB%7D%7B1000%7D%7D%20%3D%281%2Br%29)
We subtract 1 to both sides to get r alone.
![-1+\sqrt[3]{\frac{B}{1000}} =r](https://tex.z-dn.net/?f=-1%2B%5Csqrt%5B3%5D%7B%5Cfrac%7BB%7D%7B1000%7D%7D%20%3Dr)
For our last step, we simplify the denominator of the root because 10*10*10=1000.
![-1+\frac{\sqrt[3]{b} }{10} =r](https://tex.z-dn.net/?f=-1%2B%5Cfrac%7B%5Csqrt%5B3%5D%7Bb%7D%20%7D%7B10%7D%20%3Dr)
This is answer choice b.
Answer:
Step-by-step explanation:
Janet can make:
4/5 of a necklace in 20min
2(4/5)=8/5 ............in 40 min
3(4/5)=12/5 ............in 60 min( one hour)
12/5=2 2/5 necklaces in one hour
or 2.4n in one hour