In the first quadrant, you start at (2,3) and move 2 units right and 1 units up what point will you end up on

Answers

Answer 1

Answer:

(4, 4)

Step-by-step explanation:

On the Cartesian plane, values on the x-axis increase to the right, and values on the y-axis increase as you go vertically upwards.

x-coordinate = 2

y-coordinate = 3

•Moving 2 units to the right adds 2 to the x-coordinate.

∴ new x-coordinate = 2 + 2 = 4

• Moving 1 unit up adds 1 to the y-coordinate.

∴ new y-coordinate = 3 + 1 = 4

∴ You will end up on the point (4, 4).

                                     


Related Questions

Find the total surface area of the pyramid.

Find the total surface area of the pyramid.

Answers

The pyramid has a surface area of approximately 87.588 square centimeters.

How to calculate the surface area of a pyramid

The surface area of the pyramid is the sum of the areas of the faces of the pyramid, which consists in four triangles. The area of the lateral triangles can be found by means of the following formula:

A = 0.5 · b · h

Where:

b - Base length, in centimeters.h - Height length, in centimeters.

The area of the base of the pyramid can be determined by Heron's formula:

A = √[s · (s - l)³]

s = 1.5 · l

Where l is the side length of the triangle, in centimeters.

First, determine the measure of the lateral area:

A = 0.5 · (6 cm) · (8 cm)

A = 24 cm²

Second, determine the measure of the base area:

s = 1.5 · (6 cm)

s = 9 cm

A = √[(9 cm) · (9 cm - 6 cm)³]

A = 9√3 cm²

Third, calculate of the surface area of the pyramid:

A = 9√3 cm² + 3 · (24 cm²)

A ≈ 87.588 cm²

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a circle with an area of `8\pi` square centimeters is dilated so that its image has an area of `32\pi` square centimeters. what is the scale factor of the dilation?

Answers

The scale factor of the dilation of the given object is 4.

The scale factor of dilation:

The scale factor of the dilation of an object is determined by taking the ratio of image length to the corresponding object length.

Dilation is the process of resizing or transforming an object. The transformation that makes the objects smaller or larger with the help of the given scale factor.

The basic formula to find the scale factor of a dilated is:

Scale factor = Dimension of the new shape ÷ Dimension of the original shape.

\(SD=\frac{32cm^2}{4cm^2}\)

SD=4

Thus, the scale factor of the dilation of the given object is 4.

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assume z is a standard normal random variable. then p(1.20 ≤ z ≤ 1.85) equals _____.a. .0829b. .8527c. .4678d. .3849

Answers

Answer:

Step-by-step explanation:

Using a standard normal table, we can find the area under the curve between 1.20 and 1.85 to be approximately 0.4678. Therefore, the answer is (c) 0.4678.

x\9=6 what’s the answer

Answers

I think ou want me to solve for x, so times 9 on both sides to get 54

Answer:

x=54

Step-by-step explanation:

x/9=6

x=9x6

x=54

so yeah I hope that's right

The volume of a cylinder is 169(pi)in.³ and the height of the cylinder is 1 in. What is the radius of the​ cylinder?


(simplify your answer)

Answers

The answer to the given question about radius of the cylinder is 5 in.

The formula for the volume of a cylinder is V = πr^2h, where V is the volume, r is the radius, and h is the height. In this problem, we are given that the volume of the cylinder is 169πin^3 and the height is 1 in. We can substitute these values into the formula and solve for the radius:

V = πr^2h

169π = πr^2(1)

169 = r^2

r = ±√169

r = ±13

Since the radius cannot be negative, the only valid solution is r = 13. However, we are asked to simplify our answer, so we can take the positive square root of 169 to get:

r = √169

r = 13

Therefore, the radius of the cylinder is 5 in.

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Please help me with the math questions!!!

1. Becky received $1,900 from her tax returns last year. If she invests that money in an account that yields 5.9% interest and is not compounded, how much interest will she earn if she leave the money in the account for 2 3/4 years?

2. Edward invested $43,800 in an account with yields 4.8% annually and is not compounded. How much will be in the account after two years?

3. Frank invested $12,700 add 8.8% interest that is compounded annually. What is his total balance after five years?

4. When Georgia started kindergarten, her parents set aside $10,000 in an account that yielded 5.6% interest compounded annually to pay for her college tuition. After six years of elementary school, three years of middle school and four years of high school, how much was in the account for Georgia’s college to tuition?

5. Harrison has an account with a balance of $155.59. This account has an interest rate of 9.4% compounded annually and the initial investment was two years ago. How much was the initial investment?

6. Iago invested $1240 in an account that yields 8% and is compounded annually. How much interest will Iago earn after two years?

7. At the end of three years, Josh had a balance of $1837.57 in an account that yielded 7% interest compounded annually. How much of that was interest?

Answers

Answer:

#1. $308.28

#2. $48,004.80

#3. $19,361.91

#4. $20,306.31

#5. $130.00

#6. $206.38

#7. $337.57

Step-by-step explanation:

All rounded to the near tenths place

and i just did this same assignment rn

Give the equation of the line passing through the point ( 15 , - 10 ) that is perpendicular to y = 5 6 x + 9 .

Answers

The equation of the line passing through the point (15, -10) that is perpendicular to y = 56x + 9 is y = -1/56x - 22/7.

To find the equation of a line perpendicular to y = 56x + 9, we need to determine its slope. The given equation is in the form y = mx + b, where m represents the slope. In this case, the slope of the given line is 56.

Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be -1/56.

Using the point-slope form of a linear equation, where (x₁, y₁) is the given point, the equation becomes:

y - y₁ = m(x - x₁)

Plugging in the values of the point (15, -10) and the slope -1/56, we have:

y - (-10) = -1/56(x - 15)

y + 10 = -1/56x + 15/56

y = -1/56x - 22/7

The equation of the line passing through the point (15, -10) that is perpendicular to y = 56x + 9 is y = -1/56x - 22/7.

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A population has a mean of 53 and a standard deviation of 21. A sample of 49 observations will be taken. The probability that the sample mean will be greater than 57.95 is ___. a. 0.450 b. 0.9505 c. 0.0495 d. 0

Answers

The probability that the sample mean will be greater than 57.95 is 0.0495.

What is probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. This is the basic probability theory, which is also used in the probability distribution.

To solve this question, we need to know the concepts of the normal probability distribution and of the central limit theorem.

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z=\dfrac{X-\mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a random variable X, with mean \(\mu\) and standard deviation \(\sigma\), a large sample size can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(\frac{\sigma}{\sqrt{\text{n}} }\).

In this problem, we have that:

\(\mu=53,\sigma=21,\text{n}=49,\text{s}=\frac{21}{\sqrt{49} }=3\)

The probability that the sample mean will be greater than 57.95

This is 1 subtracted by the p-value of Z when X = 57.95. So

\(Z=\dfrac{X-\mu}{\sigma}\)

By the Central Limit Theorem

\(Z=\dfrac{X-\mu}{\text{s}}\)

\(Z=\dfrac{57.95-53}{3}\)

\(Z=1.65\)

\(Z=1.65\) has a p-value of 0.9505.

Therefore, the probability that the sample mean will be greater than 57.95 is 1-0.9505 = 0.0495

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If a cylinder has a height of 19 cm and a diameter of 60 cms calculate how much liquid this cylinder can hold

Answers

Answer:

53721.23

Step-by-step explanation:

V=πr^2h

v = 3.14(30)^2(19)

v = 53721.23

Answer:

a cylinder can hold a liquid of  53,721 cm³

Step-by-step explanation:

volume  of a cylinder = π r² h

vol = π * (60/2)² * 19

vol = 53,721 cm³

A company charges a shipping fee that is 4. 5% of the purchase price for all items it ships. What is the fee to ship an item that costs 56$?

Answers

The shipping charge of an item on the purchase $56 is $2.52.

Percentage

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

The percentage of a number is the value of the number out of 100.

For example, in a class, there are 26 boys and 24 girls. So, the percentage of boys in the class is 26/(26+24) × 100 = 26/50 × 100 = 52%, which means out of 100, 52 are boys.

A company charges  shipping fee = 4.5% of the purchase price for all items,

Cost of an item =$56

So, shipping fee = 4.5% of 56

= 4.5/100 × 56

= 0.045 × 56

= $2.52

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A flagpole casts a shadow that is 24 feet long. At the same time, a person standing nearby who is 6 feet 6 inches tall casts a shadow that is 48 inches long. How tall is the flagpole?

Answers

Therefore, the height of the flagpole is 39 feet.

What unit of measurement does height use?

Height is a mathematical term that specifies the vertical distance between an object's top and base. The word "altitude" is sometimes used to describe it. In coordinate geometry, an object's height is its length along the y-axis.

Let's convert the person's height to feet first:

6 feet 6 inches = 6.5 feet

Now we can set up a proportion to find the height of the flagpole:

(person's height) / (person's shadow length) = (flagpole height) / (flagpole shadow length)

Substituting the values we know:

6.5 / 4 = x / 24

where x is the height of the flagpole in feet.

Solving for x, we get:

x = 39

Therefore, the height of the flagpole is 39 feet.

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Pls help me!!!! BRAINLIEST!!!!!!!

Pls help me!!!! BRAINLIEST!!!!!!!

Answers

Answer:

-1/2

Step-by-step explanation:

(-2, 5)

(3, 5)

3-(-2) over -5-5

= 5/-10

= -1/2

help look at the picture it shows everything

help look at the picture it shows everything

Answers

Answer:

cant see the picture dude

Step-by-step explanation:

Need to make the screen more clear .

3. To find an antiderivative of g(x) = x", we reverse the power rule to obtain the family of functions G(x) WM1 HEF a) For which value of n does this rule not apply? b) Suppose g(x) = vw. Re-write the radical as a rational exponent. Find the antiderivative. c) Suppose g(x) = x-4. Find the antiderivative. a) Let g(x) = Re-write the function using a negative exponent. a Find the antiderivative, e) Find the antiderivative of g(x) =
Previous question

Answers

The antiderivative is then G(x) = (2/3)x^(3/2) + C, where C is the constant of integration.

Here's the answer to each part:

a) The power rule for finding antiderivatives does not apply when n = -1, as it would lead to division by zero in the formula.

b) If g(x) = √x, we can rewrite it as g(x) = x^(1/2).

c) For g(x) = x^(-4), the antiderivative is G(x) = (-1/3)x^(-3) + C.

d) It seems there's a missing function in this part. Please provide the function g(x) so I can find the antiderivative.

please provide the function g(x) in this part for me to find the antiderivative.

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A wave with a frecuency of 31,200 Hz and travels at 790m/s? what is the wavelength in centimeters? ​

Answers

The correct answer of the wavelength of the wave is 0.080 cm or 8.0 × 10⁻² cm.

The given frequency of the wave is 31,200 Hz and the speed of the wave is 790 m/s. We need to find out the wavelength of the wave in centimeters.

Let's solve this problem using the formula for wavelength λ = v / f, where v is the speed of the wave and f is the frequency of the wave.

We can first convert the given speed in m/s to cm/s, which is the same as multiplying by 100.

Then we can substitute the given values in the formula and simplify to get the wavelength in centimetres.

Given the frequency of the wave = f = 31,200 Hz

Speed of the wave = v = 790 m/s

The wavelength of the wave = λ =?

We know that the formula for wavelength is given byλ = v / f

We can convert the speed of the wave from m/s to cm/s by multiplying by 100λ = (790 m/s × 100 cm/m) / 31,200 Hzλ = 2,527.56 cm / 31,200λ = 0.080 cm

Therefore, the wavelength of the wave is 0.080 cm or 8.0 × 10⁻² cm.

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The planet Earth is approximately 149.6 million kilometers from the sun. The planet Jupiter is about 5.2 times farther away from the sun than Earth is. What is the approximate distance between Jupiter and the sun?

15.472 million kilometers
77.792 million kilometers
154.72 million kilometers
777.92 million kilometers

Answers

Answer:

the answer is 777.92 million kilometers

Step-by-step explanation:

The distance between Jupiter and Sun is 777.92 million km

What is distance?

Distance is defined to be the magnitude or size of displacement between two positions.

Given that the distance between Earth and Sun is 149.6 million km and Jupiter is about 5.2 times farther away from the Sun than Earth is,

Therefore, distance between Sun and Jupiter is = 149.6 × 5.2 = 777.92 million km

Hence, the distance between Jupiter and Sun is 777.92 million km

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Function f is a linear function and function g is defined by g(x) = f(x) + k. If the value of k is 7, how does the graph of g compare with the graph of f ?..

The graph of g is the graph of f

translated up 7 units

translated left 7 units

translated right 7 units

translated down 7 units

stretched vertically by a scale factor of 7

stretched horizontally by a scale factor of 7​

Answers

The graph of g is Transformation up 7 units.

what is Transformation?

A graph transformation is a method for altering an existing graph or graphed equation to create a different version of the graph that follows. The modification of algebraic equations is a typical form of algebraic issue.

solution:

From the question, we have the following parameters that can be used in our computation:

g(x) = f(x) + k

Also, we have the value of k to be

k = 7

From the question, we can interpret g(x) = f(x) + k as f(x) is shifted up by k units

This means that

g(x) = f(x) + k

So, we have

g(x) = f(x) + 7

Hence, the transformation is (a) translated up 7 units

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Which of these sets of ordered pairs would define a line with a positive slope?
a. (5, 1) and (0, 5)
b. (2, 3) and (-4, 8)
c. (3, 6) and (5, 1)
d. (2, 3) and (7, 6)

Answers

The correct answer is D

find the value(s) of c guaranteed by the mean value theorem for integrals for the function over the given interval. (round your answer to four decimal places. enter your answers as a comma-separated list.) f(x)= 3Vx, [4,9]

Answers

The value of c guaranteed by the Mean Value Theorem for Integrals for the function f(x) = 3√x over the interval [4, 9] is approximately 6.1084.

By the Mean Value Theorem for Integrals, there exists at least one value c in the interval [4, 9] such that:

f(c) = (1 / (9 - 4)) * ∫[4,9] f(x) dx

where f(x) = 3√x.

To find the value(s) of c, we first need to evaluate the integral:

∫[4,9] 3√x dx = 2[9^(3/2) - 4^(3/2)]

Using a calculator, we get:

∫[4,9] 3√x dx ≈ 24.0416

For the function f(x) = 3√x on the interval [4,9], we have:

f(a) = f(4) = 3√4 = 6

f(b) = f(9) = 3√9 = 9

Substituting this and f(x) into the equation above, we get:

3√c = (1/5) * 24.0416

Therefore, by the mean value theorem for integrals, there exists at least one value c in (4,9) such that:

f(c) = (1/(9-4)) * ∫[4,9] f(x) dx

= (1/5) * 19.3070

= 3.8614

Simplifying, we get:

c = (24.0416 / 15) ≈ 6.1084

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A recipe shows that the yeast needed for a bread recipe is 2 and one-thirdounces. Which of the following decimals is equivalent to this number?

Answers

Answer:

what are the decimals for this question you didnt say

Step-by-step explanation:

Answer:

2.3 with a line over the 3

Step-by-step explanation:

egdenuity 2020

Generally, what is the third step in the scientific method, after one formulates a hypothesis?

Answers

The third step in the scientific method, after formulating a hypothesis, is to design and conduct experiments or gather data to test the hypothesis.

Once a hypothesis has been formulated, it needs to be tested through empirical investigation. This involves designing and conducting experiments, or gathering relevant data, to gather evidence and evaluate the validity of the hypothesis.

The purpose of this step is to systematically collect data and observations that can either support or refute the hypothesis. By conducting experiments or gathering data, scientists aim to gather empirical evidence that can provide insights into the relationship between variables and help draw conclusions about the hypothesis.

This step often involves developing a research plan, selecting appropriate methods, identifying variables, collecting data, and analyzing the results. The experiments or data collection process should be carefully designed to ensure that they provide meaningful and reliable information to test the hypothesis.

The third step in the scientific method is to design and conduct experiments or gather data to test the hypothesis. This step involves systematically collecting empirical evidence to evaluate the validity of the hypothesis and draw conclusions based on the results.

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my class average is 53% on an exam, and the professor made it a c, i got 60% on it, what will i get? is it bad?

Answers

Answer:

60% is a C to a C+, its not bad.

Step-by-step explanation:

There is a 15 days tour of visiting 5 national parks. There is a
stay of two day at each park. So, 2 multiplied by 5 = 10 days are
spent at staying in those 5 parks. Now the remaining days left are
15

Answers

The final itinerary will depend on your preferences, the specific national parks you plan to visit, and the distances between them.

Let's clarify the itinerary for the 15-day tour visiting 5 national parks.

You have a 15-day tour, and you plan to visit 5 national parks. Each park will have a stay of two days.

When you multiply the number of parks (5) by the number of days spent in each park (2), you get a total of 10 days allocated for staying in those 5 parks.

However, there seems to be a discrepancy in the calculation because allocating 10 days for park stays leaves only 5 days remaining, not 15.

To resolve this issue and ensure a 15-day tour, we need to reevaluate the itinerary. Let's assume you want to spend two days at each park, which gives you a total of 10 days for park stays.

To fill the remaining 5 days, you have a few options:

1. Travel Days: You can allocate a day for travel between each park, which would require an additional 4 days. This accounts for the transportation time and allows you to enjoy the journey between the parks.

2. Additional Park Visits: If there are other nearby national parks or attractions in the area, you can extend your tour to include visits to these places. This would allow you to explore more diverse locations and make the most of your 15-day tour.

3. Rest and Relaxation: Alternatively, you might choose to use the extra days for relaxation or leisure activities. You can spend some time enjoying the amenities and attractions available near the parks, such as hiking trails, wildlife observation, or local cultural experiences.

Ultimately, the final itinerary will depend on your preferences, the specific national parks you plan to visit, and the distances between them. Make sure to consider travel times, desired activities, and any additional locations you wish to explore when creating your 15-day tour.

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A pet store has 15 birds and 75 fish.
In simplest form, what is the ratio of birds to fish in the pet store?
O1/6
O1/5
O5/1
I don't know

Answers

Answer:

1/5

Step-by-step explanation:

For every bird in the store there will be 5 fish.

Because there is 5 times more fish then birds.

Using the ratio concept, the number of birds to fish expressed as a ratio is 1/5

Given the Parameters :

Number of birds = 15 Number of fishes = 75

Ratio of the number of birds to fish can be expressed thus :

Number of birds : Number of fishes

15 : 75

Divide both sides by 15

1 : 5

Hence, the ratio of birds to fish is 1/5

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What is the distance between (-13, 9) and (11, 2) on a coordinate grid?

Answers

Answer:

25

Step-by-step explanation:

\(\text{distance} =\sqrt{\left( 11--13\right)^{2} +\left( 2-9\right)^{2} }\)

             \(=\sqrt{\left( 24\right)^{2} +\left( -7\right)^{2} }\)

             \(=\sqrt{576 +49 }\)

             \(=\sqrt{625 }\)

             \(=25\)

Answer:

25

Step-by-step explanation:

Angels family is visiting the city they are looking for a place to spend the night and discovered that the plaza hotel charges 110 per night.Write an equation

Answers

Answer:

$110 x 7 =$770. A weeks stay at the Plaza Hotel will cost $ 770.00. 7 days multiplied by $110 will cosr $770

a+b+c=m,a2+b2+c2=n,a3+b3=p3. If c=0 then prove that m3+2p3=3mn

Answers

Answer:

a + b + c = m

=> (a + b+ c)³= m³

⇔m³ = a³ + b³ +c³ + 3(a + b)(a + c)(c + b)

=> m³ + 2p³ = 3a³ + 3b³ + c³ + 3(a + b)(a + c)(b + c)

with c = 0 => m³ + 2p³ = 3a³ + 3b³ + 3ab(a + b)

have:

3mn = 3(a + b + c)(a² + b² + c²)

with c = 0

=> 3mn = 3(a + b)(a² + b²) = 3[a³ + ab² + ba² + b³]

=  3a³ + 3b³ + 3(a²b + ab²)

= 3a³ + 3b³ + 3ab(a + b)

= m³ + 2p³

=> 3mn = m³ + 2p³

Step-by-step explanation:

Given the conditions a + b + c = m, a² + b² + c² = n, and a³ + b³ + c³ = p, we are required to prove that if c = 0, then m³ + 2p³ = 3mn.

If c = 0, then the equations become a + b = m, a² + b² = n, and a³ + b³ = p.

Using the sum of cubes identity (a³ + b³ = (a + b)(a² - ab + b²)), we can rewrite the third equation as (a + b)(a²- ab + b²) = p.

Since a + b = m, we can substitute this value into the above equation: m(a² - ab + b²) = p.

Now, we'll square the first equation (a + b = m) to get a² + 2ab + b² = m². Rearranging, we find ab = (m² - n)/2.

Substituting this value of ab into the equation m(a² - ab + b²) = p, we get m(a² + b² - (m² - n)/2) = p.

Now, we know that a² + b² = n, so we can replace a² + b² in the equation: m(n - (m² - n)/2) = p.

Simplifying the equation further, we get

mn - (m³ - mn)/2 = p.

Finally, rearranging the equation, we find that

m³ + 2p³ = 3mn.

Thus, we have proved that if c = 0, then m³ + 2p³ = 3mn.

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First try was incorrect
A
Average number of minutes talking on a cell phone per day:
0 10 20 30 40 50 60 70
How many people talk more than 40 minutes on their phone per day?

f(x) y X
(>) 5

First try was incorrectAAverage number of minutes talking on a cell phone per day:0 10 20 30 40 50 60

Answers

Answer:

7 minutes a day I think ksiss

Factorise x^2+4x+3=0

Answers

Hope this helped :)
Check the image below for working
Factorise x^2+4x+3=0

4. In a class of students, the following data table
summarizes how many students have a cat or a dog. What
is the probability that a student chosen randomly from the
class has a dog?
Has a dog
Does not have a dog
Has a cat Does not have a cat
16
4
6
3

Answers

The probability that a student who had a dog also had a cat would be = 7/25.

How to calculate the possible outcome of the given event?

To calculate the possible outcome of the given event, the formula for probability should be used and it's given below as follows. That is;

Probability = possible outcome/sample space

possible outcome = 7

sample space = 7+2+3+13 = 25

Probability = 7/25

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4. In a class of students, the following data tablesummarizes how many students have a cat or a dog.
Other Questions
How to make students feel represented in their classroom. Amanda worked 10 hours Monday through Friday. She worked an additional 5 hours on Saturday. She makes $14.25 an hour. What are Amandas wages? Her company calculates overtime by stacking up her hours for the whole week. In 2024, Bratten Fitness Company made the following cash purchases: 1. The exclusive right to manufacture and sell the X-Core workout equipment from Symmetry Corporation for $220,000.5ymmbty created the unique design for the equipment. Bratten also paid an additional $12.500 in legal and filing fees to attomeys to complete the transaction. 2. An initial fee of $345.000 for a three-year agreement with Silver's Gym to use its name for a new facality in the local area. Silver's Gym has locations throughout the country. Bratten is required to pay an additional fee of $7,000 for each month it operates under the Silver's Gym name, with payments beginning in March 2024. Bratten also purchased $420.000 of exercise equipment to be placed in the new facility. 3. The exclusive right to sell Healthy Choice, a book authored by Kent Patterson, for $39.000. The book includes healithy recipes. recommendations for dietary supplements, and natural remedies. Bratten plans to display the book at the check-in counter at its new facility, as well as make it available online. Required: Prepare a summary journal entry to record expenditures related to initial acquisitions. Note: If no entry is required for a transaction/event, select "No journal entry required" in the first account field. Why is literature powerful as a persuasive tool? because it avoids making emotional appeals because it presents clear and reasonable arguments because its message is so straightforward because its attempts at persuasion are subtle, not preachy What lessons were learned during the Great Depression thatare still applicable today?HELP PLSSSSSSSSS This is a classwork related to Essential of Accounting of the topic Budgeting.State and list 3 budget relieve in HK government budget in 2022 that you found most effective to help the HK short term Economic boom highway, he drives at a speed of 55/miles per hour. What is Reggie'sReggie drives/10.5 miles from the airport to the highway. Once on thetotal distance from the airport h hours after reaching the highway?1. Complete the bar diagram.Distance Ftraveled tohighwayTotal distance55 miles per hourHourly distance on highway2. Write an expression that represents the distance that Reggie travelson the highway in h hours.3. Write an expression that represents Reggie's total distance from theairport h hours after reaching the highway. Write a one page on the Career "Genetic Engineering"'What does this career involve?What qualifications are needed to go into this career?What are the prospects for promotion and progress?Salary range. Read the incomplete line of poetry, and complete the line using iambic pentameter.The bird rests>high atop the oaks great arm>on the strong branch to catch its breath>quietly in the shade of the tree>in the nest built with love HELP WITH MATH PLEASE1. The formula A = L x W gives the area of a rectangle R. The area of a rectangular garden is 5000sqm. What is the garden's length in terms of width?2. The formula for the area of a triangle is A = bh, where b is the length of the base, and h is the height. Solve for b3. The formula for an objects final velocity is f = i gt, where i is the objects initial velocity, g is acceleration due to gravity, and t is time. Solve for t.4. Make your own question and solve it for your chosen variable: If x = 2, what is the value of x(15 - x)? A. 26 B. 28 C. 13 D. 49 When canada dry first introduced wink soda in the 1960s, it used the slogan, "join the cola dropouts. " the purpose of this advertising campaign was most likely to:. Researchers have now found that some adult cells can be used as stem cells. However, adult stem cells are not as successful as embryonic stem cells unless they are modified because __________. Christina's Pizza sells pizza by the slice for lunch. Today, they sold 76 slices, including 20 slices of pepperoni pizza. What is the experimental probability that the first slice sold during lunch tomorrow will be a slice of pepperoni pizza?Write your answer as a fraction or whole number.P(pepperoni)= When some software companies develop software, they do it with "planned obsolescence"in mind. This means that they plan on the sale of the software to rise, hit a point ofmaximum sales, then drop and eventually stop when they release a newer version of thesoftware. Suppose a graph of the curve showing the number of sales over time can bemodeled with a parabola and that the company plans on the "life span" of its product to be6 months, with maximum sales reaching 1.5 million units. Write an equation that modelsthis situation. Gina is a straight-A student with brown hair and brown eyes. She thinks that all people who do not look like her (those who have light skin, blonde hair, and blue eyes) are not as smart as her. This is an example of ill give you brainlestBernard ate part of a small pizza. He started with StartFraction 11 Over 12 EndFraction of a pizza but only ate Two-thirds of it. Which is the best estimate of the amount Bernard ate?a Bernard ate a little less than One-half of the pizza.b Bernard ate a little more than One-half of the pizza.c Bernard ate a little less than Two-thirds of the pizza.d Bernard ate a little more than Two-thirds of the pizza. How do you think more women can become involved in coaching professional sports? How can women overcome the barriers they currently face? Explain your ideas. ______ is a contract and business transaction in which the user of an item, such as a car or house, receives the right to use it in exchange for scheduled payments for a fixed period of time.Unlike a cash- or loan-based purchase, a lease provides for the use of the asset, but it does not result in ownership of the car or house. Jack is analyzing the following two bonds with the same risk for investment: Bond A: A 20-year $1,000-par 6% quarterly coupon bond issued by Company A Bond B: A 30-year zero coupon bond issued by Company B (i) Determine the market price of Bond A given its current YTM (APR) is 8%. (4 marks) (ii) Suppose Bond A's YTM (APR) drops by 2% one year later. 1) Compute the current yield and capital gains yield of Jack's investment in Bond A. (6 marks) 2) Compute the 1-year total yield of Jack's investment in Bond A assuming the YTM remains unchanged (at 6% APR) until t-4 (quarters). (5 marks) (iii) If Jack expects the interest rate to drop in the coming year, which bond (Bond A or Bond B) should Jack choose? Explain. (2 marks) (b) The costs of common stock, preferred stock and debt of UWRL Inc. are 18%, 6.5% and 8% respectively. Assume that the firm's (targeted/optimal) capital structure is 50% common stock, 5% preferred stock and 45% debt. The relevant corporate income tax rate is 35%. (i) Compute UWRL's WACC. (4 marks) (ii) In terms of the risks faced by investors, debt should carry a lower risk than that of preferred shares. Provide a possible explanation for the difference between the two costs stated above. Support your answer with calculation. (3 marks) E ffe 31/5 usid rojeof stron 3