Write the sentence as an equation.
191 is the same as 266 added to the product of 109 and

Answers

Answer 1

Answer:

191=266+109x

Step-by-step explanation:

It says 191 is the same as 266 added to the product of 109 and _____. i am guessing you meant to say a variable.


Related Questions

Given f(x) = 2x^2 - 4x - 4, find the equation of the tangent line of f at the point
where x = -3.

Answers

The equation of the tangent line of f at the point x = -3 will be y = -16x-48.

According to the question,

We have the following information:

f(x) = [tex]2x^{2} -4x-4[/tex]

Now, we will first find the derivation of this function with respect to x:

Let's take its derivation to be f'(x).

f'(x) = 4x-4

Now, finding the slope of the equation when x = -3:

f'(-3) = 4*(-3)-4

f'(-3) = -12-4

f(-3) = -16

Now, we know that following formula is used to find the equation of a line:

(y-y') = m(x-x')

y-0 = -16{x-(-3)}

y = -16(x+3)

y = -16x-48

Hence, the equation of the tangent line of f at the point x = -3 will be y = -16x-48.

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Which pairs of polygons are similar?
Select each correct answer.

Answers

The pair of polygons that are similar to each other are all the pairs of polygons except the pair of rectangles.

What are Similar Polygons?

Similar polygons are polygons that have corresponding side lengths that are proportional to each other, thus, they have the same shape by different sizes.

To determine if he given pairs of polygons are similar, check if their corresponding side lengths have the same ratio, that is, if they are proportional to each other.

For the trapezoids:

27/15 = 18/10 = 7.2/4 = 10.8/6 = 1.8

This means the trapezoids are similar.

For the rectangles:

18/10 ≠ 14/7

This means the rectangles are not similar.

For the right triangles:

32/24 = 24/18 = 40/30 = 1.33

This means the right triangles are similar polygons.

So also is the last pair of polygons similar to each other. Therefore, the only polygon that is not similar is the pair of rectangles.

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Using the following uniform density curve what is the probability that the random variable has a value less than 2.7?

Answers

The probability that the random variable has a value less than 2.7 is 0.337

What is Probability?

Calculating the likelihood of experiments happening is one of the branches of mathematics known as probability. We can determine everything from the likelihood of receiving heads or tails when tossing a coin to the likelihood of making a research blunder, for instance, using a probability. It is crucial to grasp this branch's most fundamental concepts in order to fully comprehend it, including the formula for computing probabilities in equiprobable sample spaces, the likelihood of two events joining together, the probability of the complementary event, etc.

in the given question we have;

a random variable has a value of less than 2.7.

So,

Probability of (less than 2.7)

= area of rectangle starting from 0 to 2.7

 = (2.7 - 0) × 0.125

 = 0.3375

Hence,

The probability that the random variable has a value less than 2.7 is 0.337

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If LK = MK, LK = 7x-10, KN = x + 3, MN = 9x-11, and KJ = 28, find LJ

Answers

LJ = 46 is the value when  LK  congruent MK .

What do you mean by congruent?

It is claimed that two figures are "congruent" if they can be positioned exactly over one another. Both of the bread slices are the same size and shape when stacked one on top of the other. Congruent refers to having precisely the same shape and size.

By given figure ,

        MK = MN - KN

               = 9x - 11 - ( x + 3 )

               = 8x - 14

now given LK ≅ MK

           LK = MK

8x - 14 = 7x - 10

8x - 7x = 14 - 10

 x = 4

length of LJ = LK + KJ

                    = 7x - 10 + 28

                    = 7(4) + 18

                    = 28 + 18  ⇒ 46

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Can someone help me how do I make a equation for this I’m confused

Answers

The equation to represent the function P is y=4x as per the given points in the table.

What is meant by slope-intercept form?

It is easier to see the slope (m) and y-intercept (c) of a line in the slope-intercept form of a linear equation (y=mx+c).

18th-century Switzerland. The first person to present a line's equation in slope intercept format might have been Jakob Hermann.

Y = mx + c is the true slope intercept form. It provides both a slope and an intercept, which is why the form is known as the slope-intercept form.

You can see the line's slope and y-intercept in Slope-Intercept form. One point the line travels through and the slope of the line are both clearly displayed in point-slope form.

We know that, the equation of the line is y=mx+c

If this line passes through (0,0) then,

0=m(0)+c

then, c=0

Now, substituting the point (1,4) in the above equation and c=0 then we get,

4=m(1)+0

m=4

Now substitute the point (2,8) then,

8=m(2)+0

m=4

Similarly, by substituting the points  (3,12), (4,16), (5,20), (6,24) we get,

m=4

Now, by substituting c=0 and m=4 in the above equation we get,

y=4x+0

y=4x

Therefore, the equation to represent the function P is y=4x

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the difference of x and 5 is at least -25

Answers

Answer: x - 5 is less than or equal to -25

Step-by-step explanation:

Prove or disprove:
It is possible to construct, using only straightedge and
compass, a rectangular box with square base of length x and height y
whose volume is 3 cubic units and surface area is 7 square units..?

Answers

Answer:

True/Prove

PLEASE GIVE BRAINLIEST THANK YOU!!!

A manager at SUBWAY wants to find the total cost of 24.8 pounds of sliced turkey at $1.89 a pound and 38.2 pounds of provolone cheese at $2.05 a pound. Find the final cost. [1.4 and 1.5]

Answers

The cost that the manager will pay for turkey and cheese is $127.182.

How to calculate the cost?

From the information, the manager wants to find the total cost of 24.8 pounds of sliced turkey at $1.89 a pound and 38.2 pounds of provolone cheese at $2.05 a pound.

The total cost will be:

=> Cost for turkey + Cost for cheese

= (24.8 × $1.89) + (38.2 × $2.05)

= $48.872 + $78.31

= 127.182

The cost is $127.182

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Two integers , c and d , have a product of -6. What is the greatest possible sum of c and d?

Answers

in order to get a product of -6, we have several options in which we can multiply:
-6 * 1 = -6
-1 * 6 = 6
-2 * 3 = -6
-3 * 2 = -6
now, we can replace the * sign with an addition sign to determine what the greatest sum will be.
-6 + 1 = -5
-1 + 6 = 5
-2 + 3 = 1
-3 + 2 = -1
the expression -1 * 6 will create the greatest sum of 5.
hope this helps!

Olivia is a stockbroker. She makes 4% other sales in commission. Last week, she sold $7,200 worth of stocks.
a. How much commission did she make last week?
b. If she were to average that same commission each week, how much would she make in commissions in a year, treating a year as having exactly 52 weeks?

Answers

Olivia made $288 last week from her 4 percent commission and an average of $14,976 in 52 weeks

Percentage

The term "percentage" was adapted from the Latin word "per centum", which means "by the hundred". Percentages are fractions with 100 as the denominator. In other words, it is the relation between part and whole where the value of whole is always taken as 100.

In this question, she makes a commission of 4% on her weekly sales.

A) How much did she makes last week?

To find how much she made, we simply have to find 4% of 7200

0.04 * 7200 = 288

She made $288 last week.

B) If she made $288 each week, and we have 52 weeks in a year, we can multiply them and find how much she made in a year.

$288 * 52 = $14,976

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Select the three equations that pass through the points (–4, –16) and (5, 2): y + 4 = 2(x – 16) y – 2 = 2(x – 5) y = 2x – 8 y + 16 = 2(x + 4)

Answers

The equations that passes through the points (-4, -16) and (5, 2) are: y – 2 = 2(x – 5), y = 2x – 8, and y + 16 = 2(x + 4).

How to Find the Equations that Passes Through a Point?

To determine if an equation passes through a given point, plug in the values of the x and y coordinates of the point into the equation to see if it would make the equation true. If it is true, then the equation passes through the points.

Alternatively, graph the equation on a coordinate plane to see if it passes through the given point.

The graph shows the equations given.

The red line represents y + 4 = 2(x – 16).

The blue line represents y – 2 = 2(x – 5), y = 2x – 8, and y + 16 = 2(x + 4).

Therefore, y – 2 = 2(x – 5), y = 2x – 8, and y + 16 = 2(x + 4) passes through the points (–4, –16) and (5, 2).

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Lynne needs to borrow $6250 for cosmetic surgery. She obtains a loan from her grandmother for 24
months at a simple interest rate of 5.4%. What is the loans future value?

Answers

The loan's future value will be $6925 when Lynne pays a simple interest rate of 5.4%.

According to the question,

We have the following information:

Lynne needs to borrow $6250 for cosmetic surgery. She obtains a loan from her grandmother for 24 months at a simple interest rate of 5.4%.

We know that the following formula is used to find the simple interest:

Principal*rate*time/100

Principal = $6250

Rate = 5.4%

Time = 2 years

Simple interest = (6250*5.4*2)/100

Simple interest = 67500/100

Simple interest = $675

Now, the total amount of loan will be:

Interest + principal

675+6250

$6925

Hence, the loan's future value will be $6925 when Lynne pays a simple interest rate of 5.4%.

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King's Books sold 480 bookmarks last year, in comparison to 672 bookmarks this year. What is the percentage of the increase in the number of bookmarks sold annually?

Answers

The percentage

of the increase in the number of bookmards sold is 40%

To solve this problem, first we have to rewrite the problems into some equations, such:

s = 480 --> represent the last year's sale

s' = 672 --> represent this year's sale

Then, we should define

the increase on the sale

by finding the difference between the last year'ssale and this year's sale.

Δs = s'-s

Δs = 672 - 480

Δs = 192

Then we could get the percentage of increase in sales by dividing the increase in sale with the last year's sales. Hence we could find that:

Δs% = (Δs/s) x 100%

Δs% = [tex]\frac{192}{480}*100%\\[/tex]%

Δs% = 40%

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Find the next term with work

30, 27, 21, 9, __

Answers

We get the next term as -15 when the series are 30,27,21,9,_.

Given that,

The terms are 30,27,21,9,_

We have to find the next term.

An arithmetic sequence is a group of words where the common difference between any two subsequent words remains constant. Reviewing what a sequence is will help. A sequence is a group of integers that exhibit a pattern.

Take the terms,

30,27,21,9,_

Take the 1st 2 terms

30-27=3

Next,

27-21=6

Next,

21-9=12

Here, We have 3,6,12

That mean 3+3=6 and 6+6=12

Next is 12+12=24

So,

9-24=-15

Therefore, We get the next term as -15 when the series are 30,27,21,9,_.

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Is V={4,2,111,6} a subset of Y={44,7,90,4,2,1,111,6}?

Answers

Set V is a subset of set Y

What is a subset?

A set V is a subset of another set Y if all elements of the set V are elements of the set Y. In other words, the set V is contained inside the set Y. The subset relationship is denoted as V⊂Y.

Set V contain the following numbers {4,2,111,6}

It discovered that all the numbers in set V are there in set Y

set Y contains {44,7,90,42,1,111,6}

Therefore since the element of set V are in set Y , then set V is a subset of of set Y.

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Translate the phrase into a math expression. Twelve more than the quotient of six divided by three. Responses (6÷3)+12 eft parenthesis 6 divided by 3 right parenthesis plus 12 6÷(3+12) 6 divided by left parenthesis 3 plus 12 right parenthesis (3÷6)+12 left parenthesis 3 divided by 6 right parenthesis plus 12 3÷(6+12) 3 divided by left parenthesis 6 plus 12 right parenthesis

Answers

The given phrase on translation to math expression is (6 ÷ 3) + 12 , the correct option is (a) .

In the question ,

an mathematical phrase is given , that is "Twelve more than the quotient of six divided by three" .

we have to translate it into mathematical expression ,

So , the term quotient of six divided by three is written as 6 ÷ 3 .

and phrase " more " is represented by " + " ,

Hence the given phrase,  "Twelve more than the quotient of six divided by three" is  (6 ÷ 3) [tex]+[/tex] 12 .

Therefore , The given phrase on translation to math expression is (6 ÷ 3) + 12 , the correct option is (a) .

The given question is incomplete , the complete question is

Translate the phrase into a math expression , "Twelve more than the quotient of six divided by three" .

(a) (6÷3)+12

(b) 6÷(3+12)

(c) (3÷6)+12

(d) 3÷(6+12)

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A circle has a diameter of 30mm . What is its circumference? Use 3.14 for π , and do not round your answer. Be sure to include the correct unit in your answer

Answers

Correct Answer:
The circumference is 94.2 mm.

Explanation:
Circumference = π • diameter
Circumference = 3.14 • 30
Circumference = 94.2 mm

I would appreciate it if you mark my answer as brainliest.

Answer:

  94.2 mm

Step-by-step explanation:

You want the circumference of a circle that has a diameter of 30 mm.

Circumference

The circumference is given by the formula ...

  C = πd . . . . . where d is the diameter

Application

Your circle has a circumference of ...

  C = (3.14)(30 mm) = 94.2 mm

The circumference is 94.2 millimeters.

Find the fourth proportional of 5, 2, and 10.​

Answers

Any of the four terms of a discrete geometric proportion is called a proportional fourth.

[tex]\bold{5, 2 \: and \: 10.5}[/tex]

A geometric proportion is formed as follows:

[tex]\bold{5 : 2 :: 10 : x}[/tex]

Since the unknown term is an extreme and as we have seen before, one extreme is equal to the means divided by the other extreme, we will have:

[tex]\boxed{\bold{ \: x = \frac{2 \:∗ \: 10}{5} = 4} }[/tex]

Therefore, the geometric proportion is:

[tex]\bold{5 : 2 :: \: :: 10 :4}[/tex]

Which figure is shaded to represent an equivalent fraction?

Answers

Answer: the one on the top left corner

Answer: the third one (bottom left) but also the second one (top right)

Step-by-step explanation: 2. there are 8 total parts to the figure and four of those parts are shaded. 4/8

3. There are four total parts to the figure but only 2 are shaded. 2/4

2/4 and 4/8 are both EQUIVALENT to 1/2. Therefore, that is the correct answer.


Which shows the numbers -3,2, and -1 placed correctly?

Answers

Answer: The second one is correct.

x³ ÷ 3 = y; use x = 3, and y = 1

Answers

Step-by-step explanation:

If x = 3 :

x³ ÷ 3 = y

3³ ÷ 3 = y

27 ÷ 3 = y

y = 27 ÷ 3 = 9

Find the amount due if $700 is borrowed for 14 months at 18% simple interest.

Answers

Answer:

I = $ 1,937.50

Step-by-step explanation:

i=prt

18/100=0.18

I=700(0.18)(14)

1,937.50

An athlete swings a 7.9 kg ball horizontally on the end of a rope. The ball moves in a circle of radius 0.9 m at an angular speed of 0.27 rev/s.
What is the tangential speed of the ball? Answer in units of m/s.

part 2
What is its centripetal acceleration? Answer in units of m/s2.
part 3
If the maximum tension the rope can with- stand before breaking is 132.3 N, what is the maximum tangential speed the ball can have?
Answer in units of m/s.

this is physics

Answers

The maximum tangential speed that the ball can have is 3.89 m/s. Centripetal acceleration is 0.06561 and tangential speed of ball will be 0.243 m/s

What is centripetal force? For which motion does the centripetal force exists? Given a example?

The centripetal force is the force needed to keep a body moving in circular motion. It exists for circular motion. Example - rotation of earth around sun.

We have an athlete swings a 7.9 kg ball horizontally on the end of a rope. The ball moves in a circle of radius 0.9 m at an angular speed of 0.27 rev/s.

[A] -

Tangential speed of ball = v = rω = 0.9 x 0.27 = 0.243 m/s

[B] -

Centripetal acceleration = a[c] = rω² = 0.9 x 0.27 x  0.27 = 0.06561

[C] -

Maximum tension = Maximum centripetal force = mrω² = 132.3

ω² = 132.3/mr

ω² = 18.60

v² = 18.60r²

v = 3.89 m/s

Therefore, the maximum tangential speed that the ball can have is 3.89 m/s. Centripetal acceleration is 0.06561 and tangential speed of ball will be 0.243 m/s

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When Jeremiah’s granddaughter was born, he started saving quarters and half dollars for her. After 2 years he had saved a total of $70.75 for her. If the number of quarters was 2 less than three times the number of half dollars, how many quarters and how many half dollars did he save?

Answers

Answer:

57 half dollars and 169 quarters

Step-by-step explanation:

We will need a system of equations to solve this problem.

Given that the number of quarters is 2 less than three times the number of half dollars, we have Q = 3H - 2

Thus, we have 0.25Q + 0.50H = 70.75 and Q = 3H - 2.

The second equation allows us to use substitution:

[tex]0.25(3H-2)+0.50H=70.75\\0.75H-0.50+0.50H=70.75\\1.25H=71.25\\H=57[/tex]

We can plus this 57 into the second equation to find the number of quarters:

[tex]Q = 3(57)-2\\Q=169[/tex]

Illustrative Mathematics

An albatross is a large bird that can fly 400 kilometers in 8 hours at a constant speed. Using for distance in kilometers and for number of hours, an equation that represents this situation is .

What are two constants of proportionality for the relationship between distance in kilometers and number of hours? What is the relationship between these two values?

Write another equation that relates and in this context.

Answers

1. Two constants of proportionality representing the proportional relationship between distance in kilometers and number of hours are 400 km and 8 hours.

2. The relationship (ratio) between the two values is 50 km per hour or the equation, d = 50t.

3. Another equation that relates distance and time in this context is t = d/50 or 400/50.

What is the constant of proportionality?

The constant of proportionality is the ratio relating two given values in a proportional relationship.

Other names for the constant of proportionality include:

Constant rateUnit rateConstant ratioRate of changeConstant of variation.

Distance, d = 400 km

Constant speed, t = 8 hours

d = 400/8

d = 50t

Constant of proportionality = 50.

t = d/s

Where d, distance = 400 km and s, speed = 50 km/h

= 400/50

= 8 hours

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point r is located at (-5,-2), Point T is located at (2,5) the ratio of RS/ST is 2/5 Plot point S on RT to make the ratio true

Answers

The point S of line segment RT such that RS / ST = 2 / 5 is equal to (- 3, 0).

How to determine the coordinates of the point within a line point

Herein we find a line segment whose endpoints are known (R(x, y) = (- 5, - 2), T(x, y) = (2, 5)) and in which we must determine the coordinates of a point S within line segment RT such that the partition ratio is observed:

RS / ST = 2 / 5

[tex]\overrightarrow{RS} = \frac{2}{5} \cdot \overrightarrow {ST}[/tex]

S(x, y) - R(x, y) = (2 / 5) · [T(x, y) - S(x, y)]

(7 / 5) · S(x, y) = (2 / 5) · T(x, y) + R(x, y)

S(x, y) = (2 / 7) · T(x, y) + (5 / 7) · R(x, y)

Now we determine the location of point S:

S(x, y) = (2 / 7) · (2, 5) + (5 / 7) · (- 5, - 2)

S(x, y) = (4 / 7, 10 / 7) + (- 25 / 7, - 10 / 7)

S(x, y) = (- 21 / 7, 0)

S(x, y) = (- 3, 0)

The location of point S is (- 3, 0). A representation of the geometric system is shown in the image attached below.

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The population of a specific species of nocturnal mammal is decreasing at a rate of 3.5%/year. The graph models the number of mammals x years after they were originally counted.

Identify and interpret the key features of the exponential function modeled in terms of this situation.

Select each correct answer.

The y-intercept represents the number of mammals when they were originally counted.

The line y = 0 is an asymptote of the graph.

The y-intercept.is 75.

The y-intercept is 120.

The asymptote indicates that the number of mammals counted when the study began was 120.

The asymptote indicates that as years pass, the number of mammals will approach 0.

The line x = 0 is an asymptote of the graph.

Answers

Answer:

The y-intercept represents the number of mammals when they were originally counted.

The line y = 0 is an asymptote of the graph.

The y-intercept is 120.

The asymptote indicates that as years pass, the number of mammals will approach 0.

Solve for t.

13 + t = 51
A. t = 37
B. t = 38
C. t = 42
D. t = 64

Answers

Answer:  the answer is 38

Step-by-step explanation:

all you have to do is subtract 51-13 and the answer of that is the asnswer. :)

Find a polynomial function that has the given zeros. (There are many correct answers.)
0, -3, -4
f(x) =

Answers

Answer:

below

Step-by-step explanation:

f(x) = x(x+3)(x+4)     would be one

     = x^3 + 7x^2 + 12x

What are the coordinates of point (1, 5) after dilating by 1/3 about (4,2)?
(2, 1)
(-1,-5)
(3, 2)
(3, 3)

Answers

The coordinates of point (1,5) after dilation is (3,3). Therefore, 4th option is correct.

It is given to us that -

The coordinates of the original point is (1,5)

=> [tex](x_{o},y_{o} )=(1,5)[/tex] ---- (1)

The dilating factor is 1/3

=> [tex]s=\frac{1}{3}[/tex] (say) ---- (2)

And, the center of dilation is at the point (4,2)

=> [tex](x_{cod},y_{cod})=(4,2)[/tex] ---- (3)

We have to find out the coordinates of point (1,5) after dilation.

Using the formula for dilation coordinates from original to image, we have

[tex][(x_{cod}+s(x_{o}-x_{cod}),y_{cod}+s(y_{o}-y_{cod})]\\=[4+\frac{1}{3}(1-4),2+\frac{1}{3}(5-2)]\\=[(4-1),(2+1)]\\=(3,3)[/tex]

Thus, the coordinates of point (1,5) after dilation is (3,3). Therefore, 4th option is correct.

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homogamy refers to group of answer choices the tendency of people with similar characteristics to seek people with contrasting characteristics. gay men. the tendency of people with similar characteristics to marry one another. interracial marriage. Mercury, an environmental contaminant if consumed, can accumulate in fish tissue. It is advised that pregnant women avoid the four highest-mercury fish. These include. Question 4 (1 point)How many oxygens are present on the reactants side of this equation?KCIO3 --> KCI + O01532 The model of the electromagnetic spectrum shows red and violet colors of visible light. Based on your knowledge of microbial genetics and microbial pathogenesis, where do you think the genetic information for endotoxins are located?. Please hurryWhat stanza do you see imagery In The Raven" ?Describe the image you see. Use evidence + reasoning to support your answer Determine the convergence of divergence of the sequence. If the sequence converges, find its limit. Which type of air mass is the most responsible for the cold weather that travels from canada to north carolina during the winter?. Please help please please for perfectly competitive firms, the price effect is zero because . a.) the demand curve is inelastic b.) the marginal revenue is lower than marginal cost c.) the marginal revenue is equal to the price d.) the price increases as we sell more units A car is travelling north at a constant speed of 20 m/s. A force is applied directly east on the car. The motion of the car will be change in which of these ways?. A flask with a volume of 125.0 mL contains air with a density of 1.241 g/L.What is the mass of the air contained in the flask? You have 505 mL of a 0.140 M HCl solution and you want to dilute it to exactly 0.100 M. How much water should you add? the nurse is caring for an older adult with streptococcal pneumonia. which precautions will the nurse begin? HELP ASPPP PLEASE THANK YOU an employee earns $5,750 per month working for an employer. the federal insurance contributions act (fica) tax rate for social security is 6.2% of the first $137,700 earned each calendar year and the federal insurance contributions act (fica) tax rate for medicare is 1.45% of all earnings. the current federal unemployment taxes (futa) tax rate is 0.6%, and the state unemployment taxes (suta) tax rate is 5.4%. both unemployment taxes are applied to the first $7,000 of an employee's pay. the employee has $192 in federal income taxes withheld. the employee has voluntary deductions for health insurance of $160 and contributes $80 to a retirement plan each month. what is the amount of net pay for the employee for the month of january? (round your intermediate calculations to two decimal places.) The Roosevelt Corollary to the Monroe Doctrine, enunciated by President Theodore Roosevelt in his annual message to Congress in May, 1904, did all of the following EXCEPT:a) assert that the US would take action to guarantee that Latin American nations paid their debtsb) state that the US could intervene in the affairs of Western Hemisphere nations to forestall the intervention of other powersc) derive from Roosevelt's assertion that the Monroe Doctrine prohibited Europeans from using force in the Americas.d) lead to protracted intervention in the Dominican Republic (Santo Domingo), and Several other Latin American countries.e) propose a massive foreign aid program to stabilize the governments of Latin America Eva bought seven and one-half pounds of chocolate chips. She used three and three-fourths pounds in some cookies and two and five-sixths pounds in some muffins. How many pounds of chocolate chips were left? three-twelfths pounds eleven-twelfths pounds one and two-twelfths pounds one and seven-twelfths pounds What are the 3 characteristics must the surface be for outdoor garbage containers? Find the equation of the line with slope -1 and y-intercept (0,-3)