After the 10% discount on marked price (P), the selling price is ...
... P×(100% -10%) = 0.90P
After a markup off 35% on cost, the value is
... $70×(100% +35%) = 1.35×$70 = $94.50
The retailer wants these two values to be equal:
... 0.90P = $94.50
... P = $94.50/0.90 = $105.00 . . . . . divide by the coefficient of P
The marked price should be $105.00.
The common ratio is -5, note that each value is the previous value multiplied by -5.
Answer:
Adam: 52.26°
Step-by-step explanation:
Use Cosine Rule,
, to find the angle of both players.
✔️Angle of Carlos:
Let the angle be C,
a = 50 ft
b = 40 ft
c = 24 ft
Plug in the values into the equation
![Cos(C) = \frac{50^2 + 40^2 - 24^2}{2*50*40}](https://tex.z-dn.net/?f=%20Cos%28C%29%20%3D%20%5Cfrac%7B50%5E2%20%2B%2040%5E2%20-%2024%5E2%7D%7B2%2A50%2A40%7D%20)
![Cos(C) = \frac{3,524}{4,000}](https://tex.z-dn.net/?f=%20Cos%28C%29%20%3D%20%5Cfrac%7B3%2C524%7D%7B4%2C000%7D%20)
![C = Cos^{-1}(\frac{3,524}{4,000})](https://tex.z-dn.net/?f=%20C%20%3D%20Cos%5E%7B-1%7D%28%5Cfrac%7B3%2C524%7D%7B4%2C000%7D%29%20)
C = 28.24° (nearest hundredth)
✔️Angle of Adam:
Let the angle be C,
a = 30 ft
b = 22 ft
c = 24 ft
Plug in the values into the equation
![Cos(C) = \frac{30^2 + 22^2 - 24^2}{2*30*22}](https://tex.z-dn.net/?f=%20Cos%28C%29%20%3D%20%5Cfrac%7B30%5E2%20%2B%2022%5E2%20-%2024%5E2%7D%7B2%2A30%2A22%7D%20)
![Cos(C) = \frac{808}{1,320}](https://tex.z-dn.net/?f=%20Cos%28C%29%20%3D%20%5Cfrac%7B808%7D%7B1%2C320%7D%20)
![C = Cos^{-1}(\frac{808}{1,320)}](https://tex.z-dn.net/?f=%20C%20%3D%20Cos%5E%7B-1%7D%28%5Cfrac%7B808%7D%7B1%2C320%29%7D%20)
C = 52.26° (nearest hundredth)
Answer:
the length of RS to the nearest tenth of a foot is 240.6ft
Answer: It will take 7 stages for all 19,530 families to be called.
In the first stage, only 5 families are called.
In the second stage, we would have 5 x 5 = 25 families being called.
In the third stage, we would have 5 x 5 x 5 = 125 families being called.
We can use exponents to finish the list and see when our goal is reached.
4th stage: 5^4 = 625
5th stage: 5^5 = 3125
6th stage: 5^6 = 15625
7th stage: 5^7 = 78,125