Answer:
cost to make paper signs = $1
cost to make laminated signs = $2
Step-by-step explanation:
Let
x = cost to make paper signs
y = cost to make laminated signs
8x + 2y = 12 (1)
10x + 10y = 30 (2)
Multiply (1) by 5
40x + 10y = 60 (3)
10x + 10y = 30 (2)
Subtract (2) from (3) to solve for x
40x - 10x = 60 - 30
30x = 30
x = 30/30
x = $1
Substitute x = 1 into (1)
8x + 2y = 12
8(1) + 2y = 12
8 + 2y = 12
2y = 12 - 8
2y = 4
y = 4/2
y = $2
cost to make paper signs = $1
cost to make laminated signs = $2
To calculate simple interest, you first need to multiply the original amount by the percentage of the money which is going to be added.
In this situation, 500 x 0.05 is the interest which will be added each year.
Therefore, $25 will be added each year. Since it is over 4 years, it is (25*4).
So the account will have earned $100 of simple interest.
Although the account will contain $600, it will have EARNED $100 of interest since it started with $500 already.
Answer - A $100 of simple interest will be earned.
Let's see what to do buddy...
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Reminder:
![(a + b)(a - b) = {a}^{2} - {b}^{2}](https://tex.z-dn.net/?f=%28a%20%2B%20b%29%28a%20-%20b%29%20%3D%20%20%7Ba%7D%5E%7B2%7D%20-%20%20%7Bb%7D%5E%7B2%7D%20%20)
So we need to just Multiply above equations like this :
![x + y = 70](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%2070)
![x - y = 40](https://tex.z-dn.net/?f=x%20-%20y%20%3D%2040)
![(x + y)(x - y) = 70 \times 40](https://tex.z-dn.net/?f=%28x%20%2B%20y%29%28x%20-%20y%29%20%3D%2070%20%5Ctimes%2040)
![{x}^{2} - {y}^{2} = 2800](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20-%20%20%7By%7D%5E%7B2%7D%20%3D%202800%20%20)
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And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
Ladder makes a right triangle with the wall and ground. The hypotenuse = length of the ladder = 10 ft
Let the height be h
By Pythagorean theorem
10^2 = 3^2 + h^2
h^2 = 10^2 - 3^2 = 100 - 9 = 91
h = sqrt( 91) = 9.54 ft
Answer:
maximum at (4, 9)
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
y = - 1(x - 4)² + 9 is in this form
with vertex = (4, 9)
• If a > 1 then vertex is a minimum
• If a < 0 then vertex is a maximum
here a = - 1 , hence vertex (4, 9) is a maximum