The salary range at company B is greater than Company A is the only right answer
Step-by-step explanation:
So when a question asks what is x% of the y number. It's asking you to convert the x into decimal form by dividing by 100 and then multiply it by y. This gives you the equation:
which gives you x% of y. so 15% of 43 is
. 43% of 300 is
.
the 12% of what number is 43 is a bit more tricky. It's asking you to instead find a number in which 12% of it is equal to 43. So instead of plugging solving for the percentage (which is already given) you solve for y. This gives you the following equation:
. Now all you do is calculate 12/100 which gives you
. now divide both sides by 0.12 to solve for y. This gives you ![y = 358.\overline{33}](https://tex.z-dn.net/?f=y%20%3D%20358.%5Coverline%7B33%7D)
43 is what percent of 106? This question is also a bit tricky, but instead of solving for y, you're solving for x. So plug in the known values, which gives you the equation:
. Divide both sides by 106 to get
and now multiply both sides by 100. this gives you
which is the answer 40.57%
What percent of 43 is 6. This is asking the same thing just in a different way. So percentage = unknown, entire number = 43, entire number * percentage = 6. With these values we get the equation:
. Divide both sides by 43 to get
now multiply by 100 to get
which is the answer 13.95%
We can find the answer by solving the two equations simultaneously.
equation 1: y = -0.4x^2 +3xequation 2: x + y = 10
We need to write equation to with y as the subject:equation 2: y = 10 - x
equation 1 = equation 2:
10 - x = -0.4x^2 + 3x0.4x^2 - 4x + 10 = 02x^2 - 20 + 50 = 0(2x - 10)(x - 5) = 0x = -10/2 or x = 5
<span>But x >= 0 (the question says it's a height </span>above<span> the water), so x = 5</span>
Substituting x = 5 into one of the equations:
y = 10 - x
y = 10 - 5
y = 5
<span>So the answer is C</span>