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3 years ago

'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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Round 73.03 to the 1 decimal place

enot [183]

Answer:

The answer is 73.0 or just 73

6 0

3 years ago

Dylan invested $20,000 in an account paying an interest rate of 5.3% compounded continuously. Assuming no deposits or withdrawal

almond37 [142]

Answer:

$24,240

Step-by-step explanation:

20,000 + 1,060 (5-1)

7 0

3 years ago

How do I figure this anser-6w < 84

Sophie [7]

Answer:

w > -14

Step-by-step explanation:

Divide both sides by -6.

-6w/-6 = w

84/-6 = 14

Since it's an equality, if the coefficient of the variable is negative, when you divide the sign flips to the opposite.

4 0

3 years ago

a line whose perpendicular distance from the origin is 4 units and the slope of perpendicular is 2÷3. Find the equation of the l

GrogVix [38]

Answer:

$\huge\boxed{y=\dfrac{2}{3}x-\dfrac{4\sqrt{13}}{3}\ \vee\ y=\dfrac{2}{3}x+\dfrac{4\sqrt{13}}{3}}$

Step-by-step explanation:

The equation of a line:

$y=mx+b$

We have

$m=\dfrac{2}{3}$

substitute:

$y=\dfrac{2}{3}x+b$

The formula of a distance between a point and a line:

General form of a line:

$Ax+By+C=0$

Point:

$(x_0,\ y_0)$

Distance:

$d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+b^2}}$

Convert the equation:

$y=\dfrac{2}{3}x+b$ |subtract $y$ from both sides

$\dfrac{2}{3}x-y+b=0$ |multiply both sides by 3

$2x-3y+3b=0\to A=2,\ B=-3,\ C=3b$

Coordinates of the point:

$(0,\ 0)\to x_0=0,\ y_0=0$

substitute:

$d=4$

$4=\dfrac{|2\cdot0+(-3)\cdot0+3b|}{\sqrt{2^2+(-3)^2}}\\\\4=\dfrac{|3b|}{\sqrt{4+9}}$

$4=\dfrac{|3b|}{\sqrt{13}}\qquad|$ |multiply both sides by $\sqrt{13}$

$4\sqrt{13}=|3b|\iff3b=-4\sqrt{13}\ \vee\ 3b=4\sqrt{13}$ |divide both sides by 3

$b=-\dfrac{4\sqrt{13}}{3}\ \vee\ b=\dfrac{4\sqrt{13}}{3}$

Finally:

$y=\dfrac{2}{3}x-\dfrac{4\sqrt{13}}{3}\ \vee\ y=\dfrac{4\sqrt{13}}{3}$

4 0

3 years ago

Please help me? _XYZ is translated 4 units up and 3 units left to yield _X_Y_Z_. What is the distance between any two correspond

natka813 [3]

Every point went up 4 units and left 3 units.
Point X on the triangle moved up 4 and left 3. That formed a right triangle with legs 4 and 3. The distance point X moved to point X', d, is the hypotenuse of the right triangle.
Using the Pythagoras Theorem
3^2+4^2=d^2
d = 5

7 0

3 years ago