Select the correct answer. sara's gross pay is $600, from which $27 is deduced for oasdi, $8 for medicare, and $10 for income tax. what is her net pay? a. $500 b. $510 c. $555

Answers

Answer 1
Answer:

Answer:

C

Step-by-step explanation:


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Paul drives his delivery van 675 miles in 3 days. At this rate, how far will he drive in 15 days?

Answers

Paul can drive a distance of 3,375 miles in 15 days.

What is the proportion?

A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other. Proportions are represented by the symbols "::" or "=".

We have been given that Paul drives his delivery van 675 miles in 3 days.

Let he can drive a distance of x miles in 15 days.

According to the given question, we can write a proportion as

675 miles : 3 days = x miles : 15 days

⇒ 675 / 3 = x / 3

⇒ 225 = x / 3

Apply the cross-multiplication operation,

⇒ x = 225 × 15

⇒ x = 3,375

Therefore, Paul can drive a distance of 3,375 miles in 15 days.

Learn more about the proportion here:

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In 15 days Paul can drive 3,375 miles. hoped this helped...

On a separate piece of paper sketch a unit circle with angle 0 in standard position. For what values of θ is the sine increasing? Decreasing? For what values of θ is the cosine increasing? Decreasing? For which angle between 0° and 360° is sine equal to 0? Where is cosine equal to 0? Please help(:

Answers

1) Sine is the y-component in the unit circle. It grows from 0 t o1 in the sector 0° to 90 °, then starts to decrease from 1 to -1 until 270° where it starts to increase again from 270° to 360° (0°=.

2) Cosine is the x - component in the unit circle. It decreases from 1 to - 1 in the sector 0° to 180°, and increases from -1 to +1 in the sector 180° to 360°.

3) Sine is equal to 0 at angles 0° and 180°.

4) Cosine is equal to 0 at angles 90° and 270°

Ms. Wertz graded 20% of the tests for her class in 16 minutes. How many minutes will it take to grade all of the tests?

Answers

Answer:

The entire class is done in 80 minutes

Step-by-step explanation:

20 % = 20/100 = 1/5

1/5  of the class in 16 minutes

Multiply each by 5

1/5 *5  of the class in 16*5 minutes

1 of the class in 80 minutes

The entire class is done in 80 minutes

Please help with sequences and series problem!

Answers

In an arithmetic sequence, consecutive terms are separated by a common difference d and are given recursively by

a_n=a_(n-1)+d

So we can write a_(51) in terms of a_(11) by substituting recursively:

a_(51)=a_(50)+d

a_(51)=(a_(49)+d)+d=a_(49)+2d

a_(51)=(a_(48)+d)+2d=a_(48)+3d

and so on up to

a_(51)=a_(11)+40d

(notice how in a_x+yd, it's always true that x and y add up to 51)

We're given that a_(11)=23 and a_(51)=183, so we can solve for d:

183=23+40d\implies40d=160\implies d=40

We can use the same strategy to find the first term in the sequence:

a_(11)=a_(10)+40

a_(11)=(a_9+40)+40=a_9+80

a_(11)=(a_8+40)+80=a_8+120

and so on up to

a_(11)=a_1+400

23=a_1+400\implies a_1=-377

In general, the sequence has a pattern of

a_n=a_(n-1)+40

a_n=(a_(n-2)+40)+40=a_(n-2)+2\cdot40

a_n=(a_(n-3)+40)+2\cdot40=a_(n-3)+3\cdot40

and so on up to

a_n=a_1+(n-1)\cdot40

So this sequence is given by the rule

a_n=-377+40(n-1)\implies \boxed{a_n=40n-417}

Is -2/7 a rational or irrational number​

Answers

Answer:

Rational

Step-by-step explanation:

All fractions are rational.

Nellie is analyzing a quadratic function f(x) and a linear function g(x). Will they intersect?

Answers

Answer: yes choice B

Step-by-step explanation:

g(x) has -5 slope

y - g(-1) = -5(x +1)

y -5 = -5x -5

y = -5x

f(x) = xx/2 +2

Xx/2 +2= -5x

Xx/2 +5x +2 = 0

Xx + 10x +4 =0

Solutions: -5 + root(100 -16)/2

And -5 - root(84)/2

Both intersection look like in negative x values