Kathy invested $3000 at a rate of 7% for 4 years and 6 months. Find the amount she got back.

Answers

Answer 1

The amount that Kathy got back after 4 years and 6 months is  $3945   .

In the question ,

it is given that ,

the amount invested by Kathy(P) = $3000

the rate at which the amount is invested (r) = 7% per annum

time for which the amount is invested (t) = 4 years and 6 month = 4.5 years

the simple interest calculated by

Simple Interest = ( 3000 × 7 × 4.5)/100

= 94500/100

= 945

So , the interest is $945 .

So , the amount that Kathy get = Principle + Interest

= 3000 + 945

= 3945

Therefore , amount that Kathy got back after 4 years and 6 months is  $3945   .

The given question is incomplete , the complete question is

Kathy invested $3000 at a rate of 7% simple interest for 4 years and 6 months. Find the amount she got back.

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Related Questions

kims music files takes up 7 gigs of space on her hard drive. about how many bytes is that how many bits is that?

Answers

7 GB converts to 60,129,542,144 bits

K
Question 1, 6.8.1
Part 1 of 5
The size P of a certain insect population at time t (in days). obeys the function P(t) = 300e0.05t
(a) Determine the number of insects at t=0 days.
(b) What is the growth rate of the insect population?
(c) What is the population after 10 days?
(d) When will the insect population reach 420?
(e) When will the insect population double?
(a) What is the number of insects at t=0 days?
0 insects
HW Score: 0%, 0 of 4 points
O Points: 0 of 1
**

Answers

a) At t = 0days : 300insects

b) The growth rate is 5.12% each day.

c) Population after 10days: P(10) =494.61

d) The population to reach 420 is equals roughly 70.129 hours

e) The insect population double in  t=6.020 days , which is 144.48 hours.

What is Population?

Any whole group that shares at least one trait is referred to be a population. People do not make up all populations. Populations can include, but are not limited to, individuals, animals, organizations, structures, buildings, cars, farms, objects, or occasions.

Given: t in days, P(t)=300e(0.05t).

(a) The total number of insects at time t=0 days is equal to

P(0)=300(1)

P(0) =300.

(b) The growth rate is calculated as the percentage increase over time, which is equal to-

P(t+1)/P(t)=300e(0.05(t+1))/300e(0.05t)

P(t+1)/P(t) =e^(0.05(1))

P(t+1)/P(t) =1.0512

Therefore, the growth rate is 5.12% each day.

(c) Population after 10 days.

P(10)=300e^(0.05*10)

P(10) =300(1.6487)

P(10) =494.61

(d) When P(t)=420, the population will reach 420,

or 300e0.05t=420,

take log

0.05t=log(1.4), or

t = 2.922 days,

for the population to reach 420.

equals roughly 70.129 hours

(e) When P(t)=2*300=600 the population will double.

300e^(0.05t)=600

=> e^(0.05t)=600/300=2

Take log

(log 0.05t=log(2)),

t=6.020 days , which is 144.48 hours.

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Fill in the missing statement/reason for the following proof:

Answers

The missing statement and the reason of LN bisects ∠MLO, LM≅LO are given and ∠OLN≅∠MLO is because of definition of angle bisector, LN≅LN is because it is common to both the angles ∠LNO AND ∠LNM, LO≅LM is because ΔLNO and ΔLNM both are congruent.

Given that:

LN bisects ∠MLO and LM≅LO

Prove that: ΔLMN ≅ ΔLON

In order to prove ASA congruence between the triangles we need two angles to be congruent to each other. When we look at the figure, we see that ∠LNO ≅ ∠LNM is a common angle in both the triangles.

Hence, using this we will prove that the triangles are congruent by ASA congruence rule.

In ΔLON and ΔLMN

Side ON ≅ Side MN

∠LNO ≅ ∠LNM ( ∵ common angle)

∠ONL ≅ ∠MNL (∵ Given as LN is the angle bisector of ∠MLO)

⇒ ΔLMN ≅ ΔLON ( By ASA congruence theorem).

Statement 1: LN bisects ∠MLO

Reason: Given.

Statement 2:  LM≅LO

Reason: Given.

Statement 3: ∠OLN≅∠MLO

Reason: Definition of angle bisector.

Definition of angle bisector: An angle bisector is defined as a line segment that bisects one of the vertex angles of a triangle.

Statement 4: LN≅LN

Reason: Common to both the angles ∠LNO AND ∠LNM and also these angles are 90° because angle made by angle bisector is always 90°.

Statement 5: LO≅LM

Reason: ΔLNO and ΔLNM both are congruent.

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5x−3y=−3
Step 1 of 2 : Determine the slope and the y-intercept (entered as an ordered pair) of the equation above. Reduce all fractions to lowest terms.

Answers

The slope of the function 5x − 3y = −3 is 5/3 and the y-intercept of the function 5x − 3y = −3 is 1.

First, let us understand the slope intercept form;

The slope intercept form is simply a way of writing a line's equation so that the slope (steepness) and y-intercept (where the line crosses the vertical y-axis) are obvious.

We know that the slope intercept form of a line is y = mx + c where m is the slope of the line and b is the y-intercept of the line.

We are given;

5x − 3y = −3

- 3y = -5x - 3

3y = 5x + 3

y = 5/3 x + 1

Compare with y = mx + c, we will get;

m = 5/3

b = 1

So, the slope is 5/3 and the y-intercept is 1.

Thus, the slope of the function y = 2 + 34x is 5/3 and the y-intercept of the function y = 2 + 34x is 1.

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Which of the following number sentences is true? A. 5+3 x 22 = 256 C. 5+3 x 22 = 32 B. 5+3 x 22 = 180 D. 5+3 x 2² = 17​

Answers

The sentence which is true is 5+3×2²=17. The correct option is D.

Given the sentences is 5+3×22=256, 5+3×22=32, 5+3×22=180 and 5+3×2²=17.

We want to choose the sentence which is true.

An operator is a wildcard symbol used to indicate a mathematical operation that results in one or more mathematical objects leading to another similar object.

The first option is 5+3×22=256.

Solve the LHS, we get

5+3×22=5+66

5+3×22=71.

The first option 5+3×22≠256.

The second option is 5+3×22=32.

Solve the LHS, we get

5+3×22=5+66

5+3×22=71.

The second option 5+3×22≠32.

The third option is 5+3×22=180.

Solve the LHS, we get

5+3×22=5+66

5+3×22=71.

The third option 5+3×22≠180.

The fourth option is 5+3×2²=17.

Solve the LHS, we get

5+3×2²=5+3×4

5+3×2²=5+12

5+3×2²=17.

The fourth option 5+3×2²=17.

Hence, the sentence which is true from the given sentences is 5+3×2²=17.

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Select all symmetries that apply

Answers

1.all, 2.y axis, 3. none

Usman graphs a proportional relationship. Leandro graphs a line that passes through the origin. What do you know about the y-intercept of each student’s graph? Explain your answer.

Answers

If the graph is passes through the origin then there is no y - intercept on the graph.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Usman graphs a proportional relationship.

And, Leandro graphs a line that passes through the origin.

Now,

Since, Leandro graphs a line that passes through the origin.

That's mean the graph has no any y - intercept.

Thus, If the graph is passes through the origin then there is no y - intercept on the graph.

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what is the equation of the line shown below
A y=-2/3x+1
B y=2/3x-1
C y=2x-1
D y=6x=4

Answers

The equation of the line is option (C) y = 2x - 1

First we have to choose two points

The first point = (1, 1)

The second point = (2, 3)

The slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Where m is the slope of the line

[tex](x_1,y_1)[/tex] is the coordinates of first point

[tex](x_2,y_2)[/tex]  is the coordinates of the second point

Substitute the values in the equation

Slope of the line = (3-1) / (2-1)

= 2 / 1

= 2  

From the graph line is intersecting on y axis at y = -1

The slope intercept form of the line

y = mx + b

where m is the slope of the line

b is the y intercept

Substitute the values

y = 2x - 1

Hence, the equation of the line is option (C) y = 2x - 1

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If the graph is reflected over the x-axis, what is the
domain of the function?

Answers

Answer:

When the function is to be reflected over the x and y-axis, we write it as a reflection of a function over x = y, so it is divided into two parts or two cases y = x and y = − x. When the graph of function is reflected over y = x, then we will swap the coordinates of the x and y-axis with each other while their signs remain the same.

Step-by-step explanation:


Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the estimated value of each expression with its position on the number line.

Answers

From the number line √90-√40 match with D, [tex]\frac{\sqrt{35}-\sqrt{42}}{\sqrt{5}-\sqrt{6}}[/tex] match with C, 2√27 -√48 match with E and [tex]\frac{\sqrt{54}-\sqrt{24}}{\sqrt{18}-\sqrt{8}}[/tex] match with A.

In the given question we have to match the each expession with its position on the number line.

The given first expression is √90-√40.

We firstly simplifying the expression.

√90-√40=√9×10-√4×10

√90-√40=3√10-2√10

Taking common [tex]\sqrt{10}[/tex] on both side

√90-√40=√10(3-2)

√90-√40=√10

√90-√40=3.16

From the number line √90-√40 match with D.

The given second expression is [tex]\frac{\sqrt{35}-\sqrt{42}}{\sqrt{5}-\sqrt{6}}[/tex].

We firstly simplifying the expression.

We can write it as

[tex]\frac{\sqrt{35}-\sqrt{42}}{\sqrt{5}-\sqrt{6}}=\frac{\sqrt{5\times7}-\sqrt{6\times7}}{\sqrt{5}-\sqrt{6}}[/tex]

Taking common √7 on both side

[tex]\frac{\sqrt{35}-\sqrt{42}}{\sqrt{5}-\sqrt{6}}=\frac{\sqrt{7}(\sqrt{5}-\sqrt{6})}{\sqrt{5}-\sqrt{6}}[/tex]

[tex]\frac{\sqrt{35}-\sqrt{42}}{\sqrt{5}-\sqrt{6}}=\sqrt{7}[/tex]

[tex]\frac{\sqrt{35}-\sqrt{42}}{\sqrt{5}-\sqrt{6}}[/tex] = 2.65

From the number line [tex]\frac{\sqrt{35}-\sqrt{42}}{\sqrt{5}-\sqrt{6}}[/tex] match with C.

The given third expression is 2√27 -√48.

We firstly simplifying the expression.

We can write it as

2√27 -√48=2√3×9 -√16×3

2√27 -√48=2×3√3 -4√3

2√27 -√48=6√3 -4√3

Taking √3 common on both side, we get

2√27 -√48=√3(6 -4)

2√27 -√48=2√3

2√27 -√48=2×1.71

2√27 -√48=3.42

From the number line 2√27 -√48 match with E.

The given fourth expression is [tex]\frac{\sqrt{54}-\sqrt{24}}{\sqrt{18}-\sqrt{8}}[/tex].

We firstly simplifying the expression.

We can write it as

[tex]\frac{\sqrt{54}-\sqrt{24}}{\sqrt{18}-\sqrt{8}}=\frac{\sqrt{9\times6}-\sqrt{4\times6}}{\sqrt{2\times9}-\sqrt{2\times4}}[/tex]

[tex]\frac{\sqrt{54}-\sqrt{24}}{\sqrt{18}-\sqrt{8}}=\frac{3\sqrt{6}-2\sqrt{6}}{3\sqrt{2}-2\sqrt{2}}[/tex]

[tex]\frac{\sqrt{54}-\sqrt{24}}{\sqrt{18}-\sqrt{8}}=\frac{\sqrt{6}(3-2)}{\sqrt{2}(3-2)}[/tex]

[tex]\frac{\sqrt{54}-\sqrt{24}}{\sqrt{18}-\sqrt{8}}=\sqrt\frac{6}{2}[/tex]

[tex]\frac{\sqrt{54}-\sqrt{24}}{\sqrt{18}-\sqrt{8}}[/tex] =√3

[tex]\frac{\sqrt{54}-\sqrt{24}}{\sqrt{18}-\sqrt{8}}[/tex] = 1.71

From the number line [tex]\frac{\sqrt{54}-\sqrt{24}}{\sqrt{18}-\sqrt{8}}[/tex] match with A.

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Answer: d,c,e,

ur welcomee!

Find the value of the linear correlation coefficient r. Round your answer to 3 decimal places if necessary.

(1 , 6) , (3 , 4) , (5 , 2)

Answers

The value of the linear correlation coefficient r is of:

m = -1.

What is a linear function?

A linear equation is a special function that has the format of the equation given as follows:

y = mx + b.

The coefficients of the equation y = mx + b are given as follows:

m is the slope, representing the rate of change of y relative to x, which is also the correlation coefficient of the linear function.b is the y-intercept, representing the value of y when x = 0.

In this problem, the points of the function are listed as follows:

(1 , 6) , (3 , 4) and (5 , 2)

From these three points, we can gather that when x increases by 2, y decays by 2, hence the slope of the linear function is given as follows:

m = -2/2 = -1.

Meaning that the linear correlation coefficient r of the linear function is of r = -1.

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Aldo is saving money to buy a game. the game cost $18, and so far he has saved one-third of this cost. How much money has Aldo saved​

Answers

Answer: c=54

Step-by-step explanation:

Ordered 0.5mg/ kg and supplied 10 mg/ml and weighs 40 kg how many mls do you give

Answers

As per the given relation between ordered mg to kg and supplied mg to ml then weighs  40kg is equal to 2ml.

As given in the question,

Relation between mg to kg as per the ordered is given by ,

0.5 mg / kg

⇒ For 1 kg   = 0.5 mg

Relation between mg to ml as per the supplied is given by ,

10 mg / ml

⇒ 1 ml = 10 mg

Now for 40 kg weighs the relation is given by,

1 kg   = 0.5 mg

⇒ 40 kg   = ( 40 × 0.5) mg

⇒ 40 kg = 20 mg  ___(1)

And

1 ml = 10 mg

⇒ ( 2 × 1) ml = ( 2 × 10 ) mg

⇒ 2ml = 20mg    ____(2)

From  (1) and (2) we get ,

For 40 kg weighs we need 2ml.

Therefore, As per the given relation between ordered mg to kg and supplied mg to ml then weighs  40kg is equal to 2ml.

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Increase 52 by 14% pl

Answers

Answer: 59.28

Step-by-step explanation:

your welcome :)

The answer is.

59.28

An orchard has 440 orange trees. The number of rows exceeds the number of trees per row by 2. How many trees are there in each row?

Answers

Given the number of trees in the orchard, the number of trees in each row is 20 trees.

How to find the number of trees?

Assuming that the number of rows is represented as x, the number of trees would be 2 less than the number of rows which makes it:

= x - 2

The number of trees is:

x ( x - 2) = 440

x² - 2x - 440 = 0

Solving for r can then be done quadratically which gives us:
x = (2 ± √(2² - 4(1) (- 440)) / 2 (1)

= 22, and -20

The number of rows in the orchard cannot be negative so the number of rows is 22.

The number of trees is therefore:

= Number of rows - 2

= 22 - 2

= 20 trees

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Can someone please find the area of the shape below thank you!

Answers

Answer:

43 cm^2

Step-by-step explanation:

Area of the triangle:

A = (1/2) x base x height

A = (1/2) x (2 cm + 4 cm) x 7 cm

A = (1/2) x (6 cm) x 7 cm

A = (1/2) x 42 cm^2

A = 21 cm^2

The area of the triangle is 21 cm^2

Area of the rectangle:

A = length x width

A = 11 cm x 2 cm

A = 22 cm^2

The area of the rectangle is 22 cm^2

Area of the figure = Area of the triangle + Area of the rectangle

Area of the figure = 21 cm^2 + 22 cm^2

Area of the figure = 43 cm^2

Find the y-intercept and x-intercept of the following linear equation.

x+4y=4
Enter the coordinates to plot points on the graph.

Answers

Answer:

y intercept: 1

X intercept: 4

Step-by-step explanation:

to find y intercept we set x to 0

0+4y=4

   /4.  /4

  y=1

y intercept is 1

Now for x intercept we set y to 0

x+4(0)=4

x=4

X intercept is 4

Hopes this helps please mark brainliest

Find the unknown term in the geometric proportion 8 : 2 :: x : 6​

Answers

Arithmetic proportions:

Arithmetic proportions are those whose means are not equal and are called discrete arithmetic proportions. On the contrary, if the means of the arithmetic proportion are equal, it is called continuous.

[tex]\bf\large{\underline{\fcolorbox{blue}{aqua}{Problem:}}}[/tex]

[tex] \sf8 : 2 :: x : 6[/tex]

Since the unknown term is an extreme and as we have seen, it is equal to the product of the means divided by the other extremes, we will have:

[tex]\boxed{\: x = \frac{8 \times6}{2} = \frac{48}{2} = 24 }[/tex]

Therefore, the resulting geometric proportion would be:

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \red\longmapsto \sf \orange{8 : 24 :: 6}[/tex]

The inequality x ≤ -2 would represent the values {-1, -2, -3}.

False

True

Answers

Answer:

False

Step-by-step explanation:

x ≤ - 2

the symbol ≤ ( less than or equal to ) means that x can equal - 2 and any values to the left of - 2 on the number line.

- 1 is to the right of - 2 and - 3 is to the left , so

the values represented are - 2, - 3

I'll mark as brainlist!

Answers

A and D cause 4x3=12 and 2x6=12

Answer: A &  D

Step-by-step explanation: Multiply length times width

l x w = a

5 customers entered a store over the course of 3 minutes. At what rate were the customers entering the store in customers per minute?

Answers

Answer: Par affluence

Step-by-step explanation: Car chaque 3 min le nombre de client augmentera

|||
Solving a word problem on proportions using a unit rate
Ali made $306 for 17 hours of work.
At the same rate, how many hours would he have to work to make $126?

Answers

If she made 306 from 17 hours of work, per hour it should be 306/17= $18 per hour

Then divide 126 dollars by the rate
126/18=7 hours

Point E is added to the given figure so that point E lies on segment BD exactly halfway between points B and D. Which statement correctly compares the angle measures?

Answers

Answer:

there is no picture but m∠EBD = m∠EBD would be one of the best one as a guess to what the photo might be

Step-by-step explanation:

Point E is added to the given figure so that point E lies on segment BD and it is exactly halfway between points B and D

Express the sample proportion as a percent:
Out of 1150 insurance applicants, 837 have no citations on their driving record.
%

Answers

837/1150 is 0.72782609 or 72.7% if rounded up, 73%

Answer:

837/1150=0.727

Or 73%

Step-by-step explanation:

need help with algebra​

Answers

The values of x that make the equation true are approximately  5.7 and  -0.7  .

The given equation is :

[tex]\frac{x+1}{x} = \frac{2}{x-4}[/tex]

Using cross multiplication this can be written as:

or, ( x + 1 ) ( x - 4 ) = 2 x

or, x² + x - 4x - 4 = 2x

Putting all the like terms together.

or, x² + x - 4x -2x - 4 = 0

or, x² - 5x  - 4 = 0

Now we will use the quadratic formula to find the values of x :

[tex]{\displaystyle x={\frac {-b\pm {\sqrt {b^{2}-4ac}}}{2a}}\ \ }[/tex]

or, [tex]{\displaystyle x={\frac {5\pm {\sqrt {(-5)^{2}-4(1)(-4)}}}{2(1)}}\ \ }[/tex]

or, [tex]x = \frac{5+\sqrt{41}}{2} , \frac{5-\sqrt{41}}{2}[/tex]

or, x ≈ 5.7 , -0.7

The roots or zeros of the expression, which are also on the left side of the equation, are used to indicate the values of x that satisfy the equation.

There can only be two possible solutions to a quadratic problem. One argues that if there is only one remedy, there are many different causes of the problem. There are only four possibilities: one real double root, two complex solutions that appear to be complex conjugates of one another, two real solutions, or two real solutions if each of the coefficients has a real value.

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calculate the sizes of angles marked with letters in the following diagrams, giving reasons for your answers

Answers

The triangle is isosceles, so b and c are equal.

B= 61

C = 61

A, F, D, and E are exterior angles.

A = 119
D = 119
E = 61
F= 61

The radius of a circle is 33 cm. What is the area of the circle? Give your answer to 1 d.p.​

Answers

The area of the circle with radius 33 cm is 3419.5 square centimeters.

According to the question,

We have the following information:

Radius of the circle = 33 cm

We know that the following formula is used to find the area of the circle:

Area of the circle = π[tex]r^{2}[/tex] where r is the radius of the circle

There are two approximate values of π which are 22/7 and 3.14. In this case, we will use the value of π as 3.14.

So, we have the following expression:

Area of the circle = 3.14*33*33

Area of the circle = 3419.46 square centimeters

Rounding it off to one decimal point:

3419.5 square centimeters

Hence, the area of the circle with radius 33 cm is 3419.5 square centimeters.

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8. Why can a² + 100 not be factored using difference of squares? please help!!!​

Answers

Answer:

the sum of squares kasi yan

Explanation:

first find the squareroot of a² and 100

the squareroot of a²=a

because a×a=a²

the squareroot of 100=10

because 10×10=100

second factor

(a + 10)² or (a + 10)(a + 10)

Which is the solution to the system of equations?

y = 1/8x −1
−5x + 4y = −13

A. (0,−1)
B. (8,0)
C. (1,−7/8)
D. (2,−3/4)

Answers

The solution to the system of equations y = 1/8x −1 and −5x + 4y = −13 is (2, −3/4). Option D is correct.

We are given:

y = 1/8 x − 1                 ..............equation i.

− 5x + 4y = − 13          ..............equation ii.

We will use the substitution method to solve the given equation.

substitute the value of y from equation i in equation ii, and we will get;

− 5x + 4(1/8 x − 1) = − 13

− 5x + 1/2 x − 4 = − 13

(-10 + 1) / 2 x = -13 + 4

-9/2 x = -9

x = -9 * 2 / -9

x = 2

Put the value of x in equation i, we will get;

y = 1/8 *2 − 1

y = 1/4 - 1

y = 1 - 4 / 4

y = -3 / 4

So, the value of x = 2 and the value of y = -3 / 4.

Thus, the solution to the system of equations y = 1/8x −1 and −5x + 4y = −13 is (2, −3/4). Option D is correct.

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X = 1/3 Y = 3/5 Z = 2 1/4
Work out the value of X x Y x Z
Give your answer as a fraction in its simplest form.

Answers

The solved answer for the given fraction expression in will be 2.6833.

What is a fraction?

If the numerator is bigger, it is referred to as an improper fraction and can also be expressed as a mixed number, which is a whole-number quotient with a proper-fraction remainder.

Any fraction can be expressed in decimal form by dividing it by its denominator. One or more digits may continue to repeat indefinitely or the result may come to a stop at some point.

Given X = 1/3

Y = 3/5

Z = 2 1/4 = 9/4

The value of X*Y*Z = (1/3*3/5*9/4)

= (20+36+105)/60

=161/60

=2.6833

Hence the solved answer for the given expression will be 2.6833.

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Which of the following people likely pays the LEAST for health care?a. Tanya, who has a Bronze level plan and goes to the doctor for an annual exam once all yearb. Alfred, who has a Bronze level plan and uses it for a few doctor appointments, an X-ray, and to fillmonthly prescriptionsc.Marty, who does not sign up for health insurance and then has a 4-week hospital stay because he getspneumoniad. Caroline, who has a Silver level plan and uses it frequently in the year, because she's pregnant and duehave a baby biology sem 1 which situation would most likely lead to improving or changing scientific theory? A tudent wanted to ee if the color of water impacted the increae in temperature, in degree Celiu (C), after 30 minute in the un. Three beaker we're filled with 50milliliter (mL) of water. Five drop of food coloring were added to each beaker. The beaker were then placed on window ledge in direct unlight. Temperature reading were recorded every 10 minute for 30 minute select all that apply a corporate charter: multiple select question. is required only for publicly-traded corporations. describes the business activities. specifies the shares of stock to be issued. specifies the number of shares outstanding. names the board of directors. In a garden club, 90% is ladies. The number of ladies is 12 more than 3 times the number of gentlemen.How many ladies and how many gentlemen are in the club?(Note: set up a rational equation and solve) Cosmic background radiation is:O High energy radiation from black holes.O Leftover radiation from the big bang.O The part of the electromagnetic spectrum after ultraviolet.O Radiation that can cause sunburns. What effect did the practice Rockefeller describes have on competition in his industry? Why? need help with this one What is the length of AB14512820 If angle A is (2x) and angle B is (3x+11) and the sum of angle A and angle B is 66, find the measure of angle B.11224425 A maggot is another name for- please help me!!!!!!!!!!1 In September Manson Paint Corporation began operations in a state that requires new employers of one or more individuals to pay a state unemployment tax of 3.5% of thefirst $7,000 of wages paid each employee.An analysis of the company's payroll for the year shows total wages paid of $177,610. The salaries of the president and the vice president of the company were $20,000 and$15,000, respectively, for the four-month period, but there were no other employees who received wages in excess of $7,000 for the four months. Included in the total wageswere $900 paid to a director who only attended director meetings during the year, $6,300 paid to the factory superintendent, and $2,000 in employee contributions to acafeteria plan made on a pretax basis-for both federal and state.In addition to the total wages of $177,610, a payment of $2,430 was made to Andersen Accounting Company for an audit it performed on the company's books in December.Compute the following; round your answers to the nearest cent.a. Net FUTA taxb. SUTA tax George wrote an integer. The opposite of Georges integer is -53. Which of these statements about Georges integer must be true?I. The integer is 53.II. The integer has an absolute value of -53.III. The integer is -53.IV. The integer has an absolute value of 53.AnswerAI and IIBII and IVCII and IIIDI and IV NEED EXPLAINATION PLS The community center has a pottery class each month each student pays $15 for the class and $27 for materials this month the pottery class brought in a total of $715 how many students are in the class the month? Which of the following is used to make complementary DNA (CDNA) from RNA? a. Restriction enzymes b. Gene cloning c. DNA ligase d. Gel electrophoresis e. Reverse transcriptase Drag each tile to the correct box.Beginning with the flow phase, arrange the biochemical processes in the order in which they occur during the menstrual cycle.FSH and LH stimulate the follicles to develop and the oocyte to produce estrogen.A breakdown of corpus luteum causes progesterone levels to drop.A spike in LH causes the follicle to rupture.The endometrial lining breaks down and low levels of estrogen stimulate the pituitary to release FSH and LH.Rising estrogen levels suppress FSH production and development of other follicles.High progesterone levels maintain the endometrial lining of the uterus. What is the best explanation for the dramatic ratings decline for the howard beale show in the last act of network?. Which expression represents the phrase? The product of 8 and the quotient of 6 and and w. Please associate the questions in column A to the items in column B