Answer:
16 problems.
Step-by-step explanation:
100% divided by 20 questions.
100/20 is equal to 5, therefore each question is worth 5 points.
Grade of 80% divided by points per question.
80/5 is 16 so the student answered 16 questions correctly.
Answer: $80
Step-by-step explanation:
Given: The amount earned by Fadil on selling 14 televisions= $1400
Therefore, the amount he earned on selling 1 television=![\frac{1400}{14}=\$100](https://tex.z-dn.net/?f=%5Cfrac%7B1400%7D%7B14%7D%3D%5C%24100)
Since, he sold televisions with extended warranty and he earns $20 additional for it.
Then, the fixed amount Fadil earns for each television=![\$100-\$20=\$80](https://tex.z-dn.net/?f=%5C%24100-%5C%2420%3D%5C%2480)
Hence, Fadil earns $80 as the fixed amount for each televison.
Answer:
525 x 1,050
A = 551,250 m²
Step-by-step explanation:
Let 'L' be the length parallel to the river and 'S' be the length of each of the other two sides.
The length of the three sides is given by:
![2S+L=2,100\\ L=2100-2S](https://tex.z-dn.net/?f=2S%2BL%3D2%2C100%5C%5C%20L%3D2100-2S)
The area of the rectangular plot is given by:
![A=S*L\\A=S(2100-2S)\\A=2100 S -2S^2](https://tex.z-dn.net/?f=A%3DS%2AL%5C%5CA%3DS%282100-2S%29%5C%5CA%3D2100%20S%20-2S%5E2)
The value of 'S' for which the area's derivate is zero, yields the maximum total area:
![\frac{dA(S)}{dS}=\frac{d(2100 S -2S^2)}{dS}\\0= 2100 - 4S\\S=525](https://tex.z-dn.net/?f=%5Cfrac%7BdA%28S%29%7D%7BdS%7D%3D%5Cfrac%7Bd%282100%20S%20-2S%5E2%29%7D%7BdS%7D%5C%5C0%3D%202100%20-%204S%5C%5CS%3D525)
Solving for 'L':
![L=2100-(2*525)\\L=1,050](https://tex.z-dn.net/?f=L%3D2100-%282%2A525%29%5C%5CL%3D1%2C050)
The largest area enclosed is given by dimension of 525 m x 1,050 and is:
![A = 525*1,025\\A=551,250\ m^2](https://tex.z-dn.net/?f=A%20%3D%20525%2A1%2C025%5C%5CA%3D551%2C250%5C%20m%5E2)
43 is a prime number, so
it has factors only 1 and 43, You can write only 43*1=43.
Hello from MrBillDoesMath!
Answer:
21
Discussion:
$350 at 6% = => as "percent" means per 100
350 * (6/100) = => as 350 * 6 = 2100
2100/100 =
21
Thank you,
MrB