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RSB [31]
3 years ago
5

'Quiz: Math Review Quiz

Mathematics
1 answer:
pentagon [3]3 years ago
8 0

Answer:

The tax rate is 4.3%

Step-by-step explanation:

First, we have to assume $2.79 is 100%. We know that x% equals 0.12 of the output value. Now we have two simple equations: 100%=2.79 and x%=0.12.

Then, 100%/x%=2.27/0.12 and that gives us 4.3%!

Hope this helps.

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A parabola can be drawn given a focus of
Volgvan

Answer:

y=-\frac{1}{4}(x-2)^{2}+9

Step-by-step explanation:

Any point on a given parabola is equidistant from focus and directrix.

Given:

Focus of the parabola is at (2,8).

Directrix of the parabola is y=10.

Let (x,y) be any point on the parabola. Then, from the definition of a parabola,

Distance of (x,y) from focus = Distance of (x,y) from directrix.

Therefore,

\sqrt{(x-2)^{2}+(y-8)^{2}}=|y-10|

Squaring both sides, we get

(x-2)^{2}+(y-8)^{2}=(y-10)^{2}\\(x-2)^{2}=(y-10)^{2}-(y-8)^{2}\\(x-2)^{2}=(y-10+y-8)(y-10-(y-8))...............[\because a^{2}-b^{2}=(a+b)(a-b)]\\(x-2)^{2}=(2y-18)(y-10-y+8)\\(x-2)^{2}=2(y-9)(-2)\\(x-2)^{2}=-4(y-9)\\y-9=-\frac{1}{4}(x-2)^{2}\\y=-\frac{1}{4}(x-2)^{2}+9

Hence, the equation of the parabola is y=-\frac{1}{4}(x-2)^{2}+9.

4 0
3 years ago
Write the word sentence as an equation. <br><br>5 is one-fourth of a number c.
motikmotik

Answer:

5 = 1/4c

Step-by-step explanation:


5 0
3 years ago
Select the correct answer.
Alina [70]

Answer:

Incisive

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
In a canoe race, team a is traveling 6 miles per hour and is 2 miles ahead of team
malfutka [58]
Given that <span>In a canoe race, team a is traveling 6 miles per hour and is 2 miles ahead of team b.

Team b is also traveling 6 miles per hour. The teams continue traveling at their current rates for the remainder of the race.

The system of linear equations that represents this situation is given by

d = 6t + 2
d = 6t
</span>
4 0
3 years ago
Read 2 more answers
URGENTS PLLLLLSSSSSSSSS
Arlecino [84]
Just divide 300 by 4 since 25% is 1/4
300/4 = 75
D. 75
Hope this helps!
5 0
3 years ago
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