Answer: 55% are girls,45% are boys, number of girls is 122% of the boys,number of boys is 81.8%
Step-by-step explanation: percentage of girls = number of girls ÷ total population × 100
= (198/360)× 100 = 55%
Number of boys = 360 -198 = 162
Percentage of boys = (162/360) × 100 = 45%
Percentage of girls to boys = (198/162) × 100 = 122%
Percentage of boys to girls = (162/198) × 100 = 81.8%
Answer:
- $272 was invested in the savings account at 11%
- $572 was invested in the savings account at 14%
Step-by-step explanation:
Let the amount in the savings account with 11% interest =x
She has $300 more in the 14% account.
Therefore amount saved at 14%=x+300
Simple Interest= Principal X (Rate/100) X Time
Since, the time is not given, we assume an annual interest.
Therefore, Time =1 Year
Total Interest = $110
Now, our total interest will be a sum of the interest earned at 11% and the interest earned at 14%.
![110=(x*0.11*1)+[(x+300)*0.14*1]\\110=0.11x+0.14x+42\\110=0.25x+42\\\text{Subtract 42 from both sides}\\110-42=0.25x+42-42\\68=0.25x\\\text{Divide both sides by 0.25 to obtain x}\\\frac{68}{0.25} =\frac{0.25x}{0.25} \\x=\$272](https://tex.z-dn.net/?f=110%3D%28x%2A0.11%2A1%29%2B%5B%28x%2B300%29%2A0.14%2A1%5D%5C%5C110%3D0.11x%2B0.14x%2B42%5C%5C110%3D0.25x%2B42%5C%5C%5Ctext%7BSubtract%2042%20from%20both%20sides%7D%5C%5C110-42%3D0.25x%2B42-42%5C%5C68%3D0.25x%5C%5C%5Ctext%7BDivide%20both%20sides%20by%200.25%20to%20obtain%20x%7D%5C%5C%5Cfrac%7B68%7D%7B0.25%7D%20%3D%5Cfrac%7B0.25x%7D%7B0.25%7D%20%5C%5Cx%3D%5C%24272)
Therefore:
- $272 was invested in the savings account at 11%
- $572 was invested in the savings account at 14%
Cheers!
One coordinate is (0,3) and another is (2,6)
Answer:
The answer is s = 1.
Step-by-step explanation:
Opposite sides of a parallelogram are equal so,
3s + 19 = s + 21
3s - s = 21 - 19
2s = 2
s = 1
next,
s + 21 =? 3s + 19
1 + 21 equal to (?) 3(1) + 19
22 = 22
so the answer is correct
Answer:
A parabola with an x-intercept of (3, 0)
Step-by-step explanation:
We can immediately rule out the first and third options, because the equation of a second degree function is a parabola.
Your equation is
ƒ(x) = x² - 6x + 9 = 0
We can factor this equation as
ƒ(x) = (x - 3)²
The parent parabola, y = x², has its x-intercept at (0,0).
Your function subtracts three from x, so the intercept is shifted three units to the right.
The graph of your function is a parabola with an x-intercept of (3, 0).
The figure below shows the graph of your function shifted three units by subtracting three from x.