He had $5,000,000 in CD sales; $3,300,000 in video sales; and he earned $1,245,000 in royalties.
1,000,000 CDs * $5 each = $5,000,000
550,000 videos * $6 each = $3,300,000
Total sales = 5,000,000+3,300,000 = 8,300,000
15% royalties = 0.15(8,300,000) = 1,245,000
B=41 that would be the answer
Let the weight if a whole pizza be x grams
Then 1/4 of a pizza weighs x/4 grams and one eighth weighs x / 8. The difference is 32 grams so we can make the following equation:-
x/4 - x/8 = 32
x / 8 = 32
Multiplying both sides by 8:-
x = 8*32 = 256
Answer is 256 grams.
Answer:
A = 374.123 ft^2
Step-by-step explanation:
First, lets calculate the perimeter:
Perimeter (p) = side length (s) * number of sides (n)
![p = s * n](https://tex.z-dn.net/?f=p%20%3D%20s%20%2A%20n)
![p = 12 * 6](https://tex.z-dn.net/?f=p%20%3D%2012%20%2A%206)
![p = 72](https://tex.z-dn.net/?f=p%20%3D%2072)
Next, lets find the apothem, which is the shortest length from any side to the middle. It's like the radius in a circle, but more complicated.
Apothem (a) = side length (s) / ( 2 * tan(180/number of sides (n)) )
![a = \frac{s}{2 * tan (\frac{180}{n} )}](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7Bs%7D%7B2%20%2A%20tan%20%28%5Cfrac%7B180%7D%7Bn%7D%20%29%7D)
![a = \frac{12}{2 * tan (\frac{180}{6} )}](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7B12%7D%7B2%20%2A%20tan%20%28%5Cfrac%7B180%7D%7B6%7D%20%29%7D)
![a = \frac{12}{2 * \frac{\sqrt{3} }{3}}](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7B12%7D%7B2%20%2A%20%5Cfrac%7B%5Csqrt%7B3%7D%20%7D%7B3%7D%7D)
![a = \frac{12}{\frac{2\sqrt{3} }{3}}](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7B12%7D%7B%5Cfrac%7B2%5Csqrt%7B3%7D%20%7D%7B3%7D%7D)
![a = \frac{12*3}{2\sqrt{3}}](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7B12%2A3%7D%7B2%5Csqrt%7B3%7D%7D)
![a = \frac{6*3}{\sqrt{3}}](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7B6%2A3%7D%7B%5Csqrt%7B3%7D%7D)
![a = \frac{18}{\sqrt{3}}](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7B18%7D%7B%5Csqrt%7B3%7D%7D)
Now, finally, to find the area of a regular polygon, we use the following equation:
Area (A) = ( apothem (a) * perimeter (p) ) / 2
![A = \frac{a * p}{2}](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7Ba%20%2A%20p%7D%7B2%7D)
![A = \frac{\frac{18}{\sqrt{3} } * 72}{2}](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7B%5Cfrac%7B18%7D%7B%5Csqrt%7B3%7D%20%7D%20%20%2A%2072%7D%7B2%7D)
![A = \frac{18}{\sqrt{3}} * 36](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7B18%7D%7B%5Csqrt%7B3%7D%7D%20%20%2A%2036)
![A = \frac{640}{\sqrt{3}}](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7B640%7D%7B%5Csqrt%7B3%7D%7D)
Turning into a decimal:
![A = 374.123 ft ^2](https://tex.z-dn.net/?f=A%20%3D%20374.123%20ft%20%5E2)
Answer:
Choose every tenth student entering the school and ask them if they like the dress code or not.
Step-by-step explanation:
This is a question of sampling. We need to make non-biased predictions using non-biased data. We can sample from every tenth student to stay proportional. Sampling many students can collect more data and can help keep the data non-biased.
If my answer is incorrect, pls correct me!
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-Chetan K