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Roman55 [17]
3 years ago
14

Jamal works at the recreation center 15 hours a week during the school year he earns $ 8.75 an hour in a typical month he works

63 hours calculate his monthly Taxes
Monthly Federal Income Tax (10%)
Monthly Social Security (FICA) (6.2%)
Monthly Medicare (1.45%)
Monthly State Tax (4%)
Monthly Local Tax (0.1%)

Total Monthly Deductions
Mathematics
1 answer:
g100num [7]3 years ago
3 0
Since his wage is 8.75*63=551.25, we can add up the percentages to get 10+6.2+1.45+4+0.1=21.75%. To get 21.75%, we can move the decimal 2 to the left to get 0.2175. Multiply that by 551.25 to get around 119.9 dollars. If you'd like to calculate the individual taxes, you can apply a similar process to figure that out
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If you're solving for a, you would add 32 to both sides
2a=32
then you would divide by 2
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Manuel builds and sells wooden crates. He made a table to show how much his crates cost.
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The correct answer is 75 :)
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100 POINTS!!!!! AND BRAINLIEST!!!!!!
Aleksandr-060686 [28]

Answer:

x = 6/3y+1

Step-by-step explanation:

x+3xy=6

Step 1: Factor out variable x.

x(3y+1)=6

Step 2: Divide both sides by 3y+1.

x(3y+1) / 3y+1

so x = 6/3y+1

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1 year ago
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9. A circle has an arc of length 56pi that is intercepted by a central angle of 120 degrees. What is the radius of the circle?
SSSSS [86.1K]

Answer:

Part 4) r=84\ units

Part 9) sin(\theta)=-\frac{\sqrt{5}}{3}

Part 10) sin(\theta)=-\frac{9\sqrt{202}}{202}

Step-by-step explanation:

Part 4) A circle has an arc of length 56pi that is intercepted by a central angle of 120 degrees. What is the radius of the circle?

we know that

The circumference of a circle subtends a central angle of 360 degrees

The circumference is equal to

C=2\pi r

using proportion

\frac{2\pi r}{360^o}=\frac{56\pi}{120^o}

simplify

\frac{r}{180^o}=\frac{56}{120^o}

solve for r

r=\frac{56}{120^o}(180^o)

r=84\ units

Part 9) Given cos(∅)=-2/3 and ∅ lies in Quadrant III. Find the exact value of sin(∅) in simplified form

Remember the trigonometric identity

cos^2(\theta)+sin^2(\theta)=1

we have

cos(\theta)=-\frac{2}{3}

substitute the given value

(-\frac{2}{3})^2+sin^2(\theta)=1

\frac{4}{9}+sin^2(\theta)=1

sin^2(\theta)=1-\frac{4}{9}

sin^2(\theta)=\frac{5}{9}

square root both sides

sin(\theta)=\pm\frac{\sqrt{5}}{3}

we know that

If ∅ lies in Quadrant III

then

The value of sin(∅) is negative

sin(\theta)=-\frac{\sqrt{5}}{3}

Part 10) The terminal side of ∅ passes through the point (11,-9). What is the exact value of sin(∅) in simplified form?    

see the attached figure to better understand the problem

In the right triangle ABC of the figure

sin(\theta)=\frac{BC}{AC}

Find the length side AC applying the Pythagorean Theorem

AC^2=AB^2+BC^2

substitute the given values

AC^2=11^2+9^2

AC^2=202

AC=\sqrt{202}\ units

so

sin(\theta)=\frac{9}{\sqrt{202}}

simplify

sin(\theta)=\frac{9\sqrt{202}}{202}

Remember that      

The point (11,-9) lies in Quadrant IV

then      

The value of sin(∅) is negative

therefore

sin(\theta)=-\frac{9\sqrt{202}}{202}

5 0
3 years ago
A small school has 42 boys. If the ratio of boys to girls is 7 : 1, how many, students are?
babunello [35]
There are a total of 48 students. Being 42 boys as mentioned earlier and 6 girls total attending too.

Please vote my answer brainliest! Thanks.
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