Markup means they sell it for that percentage more than they bought it for. First let's calculate how much they will mark it up for:
![\sf 55.25\cdot 87\%](https://tex.z-dn.net/?f=%5Csf%2055.25%5Ccdot%2087%5C%25)
Convert 87% into a decimal(87/100):
![\sf 55.25\cdot 0.87](https://tex.z-dn.net/?f=%5Csf%2055.25%5Ccdot%200.87)
Multiply:
![\sf\approx 48](https://tex.z-dn.net/?f=%5Csf%5Capprox%2048)
This is how much they'll mark it up, now let's add it to how much they bought it for to find out the selling price:
10 divided by 2 minus 1 equals 4
We are asked to express cos^ 3 x in terms of powers of trigonometric functions not greater than 1
cos ^ 3 x is equal to cos x * cos^2 x.
<span>cos^2 x = 1 - sin^2 x.
</span>sin^2 x = (1 - cos 2x) /2
the answer is cos ^ 3 x = cos x * (1 - <span> (1 - cos 2x) /2 )</span>
Answer:
D?
Step-by-step explanation:
I think it is D since a universal set would only be {1,2,3,4,5,6,...} and the subset would not satisfy any of the conditions of symmetric, transitive, and reflexive.
Answer:
D.) If soccer balls are sold for $2.05 or $14.61 each, the store will break even but will not make a profit.
Step-by-step explanation:
Let us assume x = selling price of each soccer ball
y = daily profit earned from selling of soccer balls
Given that
Y= ![-6x^2+100x-180](https://tex.z-dn.net/?f=-6x%5E2%2B100x-180)
where,
a = -6
b = 100
c = -180
Now we have to applied the formula which is as follows
x ![= \frac{-b\pm\sqrt{b^2-4ac}}{2a}$](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B-b%5Cpm%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D%24)
![= \frac{-100\pm\sqrt{100^2-4\times -6\times -180}}{2\times -6}$](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B-100%5Cpm%5Csqrt%7B100%5E2-4%5Ctimes%20-6%5Ctimes%20-180%7D%7D%7B2%5Ctimes%20-6%7D%24)
![= \frac{-100\pm\sqrt{10,000 - 4,320}}{-12}$](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B-100%5Cpm%5Csqrt%7B10%2C000%20-%204%2C320%7D%7D%7B-12%7D%24)
![= \frac{-100\pm\sqrt{5.680}}{-12}$](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B-100%5Cpm%5Csqrt%7B5.680%7D%7D%7B-12%7D%24)
![= \frac{-100 + 75.3658}{-12}$](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B-100%20%2B%2075.3658%7D%7B-12%7D%24)
![= \frac{24.6342}{-12}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B24.6342%7D%7B-12%7D)
x^1 = -2.05285
Now
x^2 ![= \frac{-100 - 75.3658}{-12}$](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B-100%20-%2075.3658%7D%7B-12%7D%24)
![= \frac{- 175.3658}{-12}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B-%20175.3658%7D%7B-12%7D)
x^2 = 14.6138
Based on this the option D is most appropriate as per the given situation