Answer:
200.
Step-by-step explanation:
35% = 0.35 so
0.35x = 70
x = 70 / 0.35
= 200.
For this case we have by definition that:
![(f * g) (x) = f (x) * g (x)](https://tex.z-dn.net/?f=%28f%20%2A%20g%29%20%28x%29%20%3D%20f%20%28x%29%20%2A%20g%20%28x%29)
In this case we must find
so:
(![(t * s) (x) = t (x) * s (x) = (4x ^ 2-x + 3) * (x-7) =](https://tex.z-dn.net/?f=%28t%20%2A%20s%29%20%28x%29%20%3D%20t%20%28x%29%20%2A%20s%20%28x%29%20%3D%20%284x%20%5E%202-x%20%2B%203%29%20%2A%20%28x-7%29%20%3D)
We must apply distributive property that states that:
![(a + b) (c + d) = ac + ad + bc + bd](https://tex.z-dn.net/?f=%28a%20%2B%20b%29%20%28c%20%2B%20d%29%20%3D%20ac%20%2B%20ad%20%2B%20bc%20%2B%20bd)
So:
![(4x ^ 2-x + 3) * (x-7) = 4x ^ 3-28x ^ 2-x ^ 2 + 7x + 3x-21 = 4x ^ 3-29x ^ 2 + 10x-21](https://tex.z-dn.net/?f=%284x%20%5E%202-x%20%2B%203%29%20%2A%20%28x-7%29%20%3D%204x%20%5E%203-28x%20%5E%202-x%20%5E%202%20%2B%207x%20%2B%203x-21%20%3D%204x%20%5E%203-29x%20%5E%202%20%2B%2010x-21)
Answer:
![4x^3-29x^2+10x-21](https://tex.z-dn.net/?f=4x%5E3-29x%5E2%2B10x-21)
Answer:
x+1/7
Step-by-step explanation:
39.3701 inches are in 1 meter.
There are a couple of ways you can go at this. One way is to look at the price multipliers. For a markdown of d, the price is multiplied by 1-d. For a markup of u, the price is multiplied by 1+u. Your original price is multiplied by ...
35% markdown: (1 - 0.35) = 0.65
25% markdown: (1 - 0.25) = 0.75
18% markup: (1 + 0.18) = 1.18
15% markdown: (1 - 0.15) = 0.85
The product of all these multipliers is
0.65×0.75×1.18×0.85 = 0.4889625
As you note, $5600×0.4889625 = $2738.19.
Since this multiplier is 1-d, we can find d as
1 - d = 0.4889625
d = 1 - 0.4889625 = 0.5110375
The markdown percentage is this number times 100%:
markdown% ≈ 51.1%
_____
Alternatively, you can work with your final value to find the percentage change from the original.
percent change = ((final value) - (original value))/(original value) × 100%
= (2738.19 - 5600)/5600 × 100%
= -2861.81/5600 × 100%
= -0.5110375 × 100% . . . . . . . this should look familiar
percent change ≈ -51.1%
When the change is negative, it is a markdown (not a markup).
The markdown is 51.1%.