Solve for n. 2n+3/4n = 3/4

Answers

Answer 1

Answer: n=3/11

Step-by-step explanation:

1. You want to simplify both sides of the equation.

2n+3/4n=3/4.

(2n+3/4n)=3/4 (combine like terms).

11/4n=3/4.

2. Multiply both sides using 4/11.

(4/11)x(11/4n)=(4/11)x(3/4)

3. You get your answer which is n=3/11.

Hoped I help :)


Related Questions

Help with these will give brainliest

Answers

Answer:

$ 45,600

Step-by-step explanation:

Can anyone help me pls ? ( it’s talking about the blue dot ) will give brainliest!!

Answers

Answer:

NO

Step-by-step explanation:

From the graph attached,

Equation of the line parallel to x-axis is y = 3.

Since, the line is dotted line, equation will be an inequality (having sign of < or >)

Now shaded region is below the line so equation of the inequality will be,

y < 3

Any point below the dotted line will be the solution of the given inequality.

Therefore, blue dot on the dotted line represented by y = 3 will not be the solution of the inequality.

Answer is NO.

Find b given that A (-6, 2), B (b, 0), and C (3,-4) are collinear.

Answers

Answer:

b = -3.

Step-by-step explanation:

If the 3 points are collinear then:

Slope of AB = Slope  of BC and so

(0-2)/(b + 6) = (-4-0)/( 3 - b)

-4(b + 6) = -2(3 - b)

-4b - 24 = -6 + 2b

-24 + 6 = 2b + 4b

6b = -18

b = -3.

TRIG HELP NEED TO FIND C IS IT NOT ALT ANGLES?????

Answers

[tex]c+20=55\\c=55-20\\c=35[/tex]

The temperature at sunrise is 40°F. Each​ hour, the temperature rises 4°F. Write an equation that models the temperature​ y, in degrees​ Fahrenheit, after x hours. What is the graph of the​ equation?
Write an equation that models the temperature​ y, in degrees​ Fahrenheit, after x hours.

Answers

Answer:

y = 4x + 40

Step-by-step explanation:

At sunrise, 0 hours have passed, meaning x = 0.

When x = 0, the temperature is 40, meaning that 40 is the y-intercept.

And every x hours the temperature rises by 4 degrees F

Calculate the volume

Answers

The volume is decided by using the equation V (volume)=a^3. This means you multiply the length x hight x width. So we would do 5 x 4 x 2 which equals 40.

The following estimated regression equation is based on 10 observations was presented. ŷ 29.1270 +0.5906x1 + 0.4980x2 = Here SST = 6,589.125, SSR = 6,282.500, sb₁ = 0.0808, and $₂ = 0.0603. a. Compute MSR and MSE (to 3 decimals). MSR = MSE = b. Compute F and perform the appropriate F test (to 2 decimals). Use a = 0.05. Use the F table. F = The p-value is Select your answer At a = 0.05, the overall model is - Select your answer c. Perform a t test for the significance of B₁ (to 2 decimals). Use a = 0.05. Use the t table. tB₁ = The p-value is - Select your answer - At a = 0.05, there is - Select your answer ✓ relationship between y and 1. d. Perform a t test for the significance of B₂ (to 2 decimals). Use a = 0.05. Use the t table. tB₂ = d. Perform a t test for the significance of B₂ (to 2 decimals). Use a = 0.05. Use the t table. tB₂ = The p-value is - Select your answer At a = 0.05, there is - Select your answer - ✓relationship between y and X2.

Answers

There is a significant relationship between y and both x1 and x2.

MSR = 306.625, MSE = 30.844b. F = 9.939 and p-value = 0.007. At a = 0.05, the overall model is significant.

tB₁ = 7.301 and p-value = 0.0009. At a = 0.05, there is a significant relationship between y and x1. d. tB₂ = 4.771 and p-value = 0.0008. At a = 0.05, there is a significant relationship between y and x2.

In a regression model, the F-test is used to determine whether the regression coefficient as a whole is statistically significant or not.

The p-value of the F-test is compared to the significance level (α) to determine statistical significance.

If the p-value is less than α, the regression coefficient as a whole is considered statistically significant. If it is greater than α, then it is not statistically significant.

t-test is used to determine whether each individual regression coefficient is statistically significant or not.

The p-value of the t-test is compared to the significance level (α) to determine statistical significance.

If the p-value is less than α, the regression coefficient is considered statistically significant.

If it is greater than α, then it is not statistically significant.

In this question, the F-test is significant at a = 0.05, and the t-test for both x1 and x2 is significant at a = 0.05.

Therefore, there is a significant relationship between y and both x1 and x2.

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Please help me I know it's A but I don't know why.​

Answers

Answer:

Maybe try explaining that if you narrow it down and simplify the numbers by dividing them by 8 or somewhere around there.

20 points helppppppppppppppppppppppppppppp

PLZZ anyone solve this ASAP​

Answers

Answer:

[tex] cos^{-1}(cos\frac{ 7π}{6})=cos^{-1}(cos\frac{7*180}{6})[/tex]

[tex] cos^{-1}(cos{210})[/tex]

[tex] cos^{-}(cos(180+30))[/tex]

[since in third quadrant cos 30=-[tex] \frac{\sqrt{3}}{2}][/tex]

[tex] cos^{-}(- \frac{\sqrt{3}}{2})[/tex]

:150°or [tex] \frac{5π}{6}[/tex]

150°or [tex] \frac{5π}{6}[/tex]is a required answer.

Bobby purchased a brand new car for $23,000 every year the car depreciates 20%. The function f(x)=23,000 × 0.8^x models this situation. How much will the car be worth after 6 years?

Answers

Answer:

that earns 3% interest compounded annually. He ... Is the equation A = 21000(1 – 0.12)'a model of ... (1+0.03)= 1.03 ... The value of a car purchased for $20,000 decreases ... Kathy plans to purchase a car that depreciates. ... B) P= 10,000(0.8) ... YEARS. Wolves d is less than 1! d is more than 11. 1 Growth f(x) = 80(0.1165).

Step-by-step explanation:

determine whether the following equations are second-order linear differential equations.(a)y'' = −3x(y')2

Answers

To determine whether the equation y'' = −3x([tex]y')^2[/tex]is a second-order linear differential equation, we need to examine its form.

A second-order linear differential equation has the general form:

[tex]y'' + p(x)y' + q(x)y = r(x)[/tex]

where y is the dependent variable, x is the independent variable, and p(x), q(x), and r(x) are functions of x.

In the given equation, [tex]y'' = -3x(y')^2,[/tex]we can observe that the dependent variable y only appears in the squared term [tex](y')^2.[/tex]This indicates that the equation is not linear in y or its derivatives. It contains a non-linear term [tex](y')^2[/tex]multiplied by the function -3x.

Therefore, the equation [tex]y'' = -3x(y')^2 i[/tex] is not a second-order linear differential equation.

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Given the data set, calculate the mean
{9, 3, 1, 8, 3, 6}


Please help!!!

Answers

Answer:

mean: 5

Step-by-step explanation:

(9 + 3 + 1 + 8 + 3 + 6) / 6 = 5

Two number cubes are rolled.
What is the probability that the first lands on an odd number and the second lands
on an even number?
Simplify your fraction.
O / 을
0 O
3

Answers

Answer:

cubes have 6 numbers

3 odd, 3 even

Step-by-step explanation:

probablity=desiredoutcome/totalpossibleoutcomes

there are 6 total desired outcomes (3 on each cube)

total possible, there are 6*6 or 36 total possible outcomes

so 6/36 or 1/6 chance

Factor 64u–40.
Write your answer as a product with a whole number greater than 1.

Answers

Answer: 8(8u-5)

Step-by-step explanation:

Find a number that goes into both 64 and 40 the GCF of both is 8 so 8 goes on the outside of the new factor 8u-5 because if we distribute back we should arrive at the original equation

8(8u-5)

The scores earned in a flower-growing competition are represented in the stem-and-leaf plot.



2 0, 1, 3, 5, 7
3 2, 5, 7, 9
4
5 1
6 5
Key: 2|7 means 27


What is the appropriate measure of variability for the data shown, and what is its value?
The IQR is the best measure of variability, and it equals 16.
The range is the best measure of variability, and it equals 45.
The IQR is the best measure of variability, and it equals 45.
The range is the best measure of variability, and it equals 16.

Answers

The appropriate measure of variability for the given data is the IQR, and its value is 16.

Based on the given stem-and-leaf plot, which represents the scores earned in a flower-growing competition, we can determine the appropriate measure of variability for the data.

The stem-and-leaf plot shows the individual scores, and to measure the spread or variability of the data, we have two commonly used measures: the range and the interquartile range (IQR).

The range is calculated by subtracting the smallest value from the largest value in the dataset. In this case, the smallest value is 20, and the largest value is 65. Therefore, the range is 65 - 20 = 45.

The interquartile range (IQR) is a measure of the spread of the middle 50% of the data. It is calculated by subtracting the first quartile (Q1) from the third quartile (Q3). Looking at the stem-and-leaf plot, we can identify the quartiles. The first quartile (Q1) is 25, and the third quartile (Q3) is 41. Therefore, the IQR is 41 - 25 = 16.

In this case, both the range and the IQR are measures of variability, but the IQR is generally preferred when there are potential outliers in the data. It focuses on the central portion of the dataset and is less affected by extreme values. Therefore, the appropriate measure of variability for the given data is the IQR, and its value is 16.

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3. Savannah estimates that her dog weights 30
pounds. When she takes her dog to the vet for
his check-up, the dog is placed on the scale and
actually weights 32.5 pounds. What was
Savannah's percent of error of her estimate?
Round to the nearest percent.

Answers

Answer:

8%

Step-by-step explanation:

Solve 3(2x - 7)<4x - 8

Answers

Simplify to 6x - 21 < 4x - 8. Add 21 to both sides and subtract 4x from both sides. You will get 2x < 13. Divide both sides by two and you get x < 6.5

Answer:

x < 6.5

Step-by-step explanation:

3(2x - 7) < 4x - 8

6x - 21 < 4x - 8

6x - 4x < -8 + 21

2x < 13

x < 6.5

Jessie needs to earn more than $160 every month.
B. Enter the minimum number of hours, to the nearest whole, Jessie would have to work to earn $160 in a month.

Answers

Answer:

divide 460/60

Step-by-step explanation:  

60 rep one hour and you will find your answer

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Answer:

i think the answer would be A

Which of the following describes the fraction 2/5?
5 is the part, 2 is the whole, and the fraction is equivalent to 25%.
2 is the part, 5 is the whole, and the fraction is equivalent to 25%.
5 is the part, 2 is the whole, and the fraction is equivalent to 40%.
2 is the part, 5 is the whole, and the fraction is equivalent to 40%.

Answers

2 is the part 5 is the whole, and fraction is equivalent to 40%

The correct description of the fraction 2/5 is,

⇒ 2 is the part, 5 is the whole, and the fraction is equivalent to 40%.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

The fraction is,

⇒ 2/5

Now, We can change into percent as;

⇒ 2/5 × 100%

⇒ 2 × 20%

⇒ 40%

Thus, The correct description of the fraction 2/5 is,

⇒ 2 is the part, 5 is the whole, and the fraction is equivalent to 40%.

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If the data point is at (3, 10.5) and the prediction equation is y = -6.1x + 12.5, what is the value of the residual for this data point?

Answers

Given:

The data point is (3,10.5).

The prediction equation is [tex]y=-6.1x+12.5[/tex].

To find:

The value of the residual for this data point.

Step-by-step explanation:

The data point is (3,10.5). So, the actual value is 10.5 at [tex]x=3[/tex].

Prediction equation is

[tex]y=-6.1x+12.5[/tex]

Putting [tex]x=3[/tex], we get

[tex]y=-6.1(3)+12.5[/tex]

[tex]y=-18.3+12.5[/tex]

[tex]y=-5.8[/tex]

The formula for residual is:

Residual = Actual value - Expected value

[tex]Residual=10.5-(-5.8)[/tex]

[tex]Residual=10.5+5.8[/tex]

[tex]Residual=16.3[/tex]

Therefore, the residual for the given data point is 16.3.

Please help me!! No files allowed. I need the answer and an explanation!

Answers

Answer:

I belive the answer is 1/324

In a diving meet, you score 8.4 and 7.88.

What is your total score?

Answers

Answer: 16.28?

Step-by-step explanation:

Ahmad throws dice find the probability that it is:not a 2

Answers

yah it's not probably it's not 2 mmmm

The dice has a the dice has 6 faces, each face has a 1/6 probability to appear, so the answer is 5/6

A vending machine dispenses coffee into a twenty-ounce cup. The amount of coffee dispensed into the cup is normally distributed with a standard deviation of 0.03 ounce. You can allow the cup to overfill 4% of the time. What amount should you set as the mean amount of coffee to be dispensed? Click to view page 1 of the table. Click to view page 2 of the table. 19.9 ounces

Answers

The mean amount of coffee to be dispensed should be set at μ + 0.0525 ounce, where μ represents the original mean amount of coffee. This ensures that the cup overfills only 4% of the time.

To determine the mean amount of coffee to be dispensed, we need to find the value that corresponds to the 96th percentile of the normal distribution. This value represents the amount of coffee that should not be exceeded 96% of the time.

Using a standard normal distribution table or a calculator, we find that the z-score corresponding to the 96th percentile is approximately 1.75.

Since the standard deviation is given as 0.03 ounce, we can set up the equation:

1.75 = (x - μ) / 0.03

Solving for x, the mean amount of coffee to be dispensed, we get:

x - μ = 1.75 * 0.03

x - μ = 0.0525

x = μ + 0.0525

Therefore, the mean amount of coffee to be dispensed should be set at μ + 0.0525 ounce to ensure that the cup overfills only 4% of the time.

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The length of a rectangle is five more than three time its width. The perimeter of a rectangle is 234. What is the width of the rectangle

Answers

Answer:

28 units

Step-by-step explanation:

Given data

Let the width be x

The length is =3x+5  

Perimeeter= 234

The expression for the perimeter is  

P=2L+2W

Substitute

234= 2*x+2(3x+5)

234= 2x+6x+10

Collect like terms

234= 8x+10

234-10= 8x

224=8x

x= 224/8

x=28

Hence the width is 28 units

The temperature at the point (x, y, z) in a substance with conductivity
K = 7.5 is u(x, y, z) = 3y² + 3z².
Find the rate of heat flow inward across the cylindrical surface
y² + z² = 6, 0 ≤ x ≤ 3

Answers

The integration is ∫∫(q · dS) = ∫[0 to √6] ∫[0 to √6] (-45y - 45z) dy dz.

The rate of heat flow inward across the cylindrical surface y² + z² = 6, 0 ≤ x ≤ 3 can be determined by calculating the flux of the heat vector field through the surface.

To find the rate of heat flow, we need to calculate the surface integral of the heat flux vector across the given cylindrical surface. The heat flux vector is given by q = -K∇u, where K is the conductivity and ∇u is the gradient of the temperature function u(x, y, z).

First, we find the gradient of u:

∇u = (∂u/∂x)i + (∂u/∂y)j + (∂u/∂z)k

= 0i + (6y)j + (6z)k

Then, we calculate the heat flux vector:

q = -K(∇u)

= -7.5(0i + (6y)j + (6z)k)

= -45yj - 45zk

Next, we calculate the surface area element vector, dS, of the cylindrical surface. Since the surface is defined by y² + z² = 6, we can parameterize it as r(y,z) = yi + zk. Taking the cross product of the partial derivatives, we obtain dS = (∂r/∂y) x (∂r/∂z) dy dz = (-j -k) dy dz.

Finally, we can calculate the surface integral by integrating the dot product of q and dS over the given cylindrical surface:

∫∫(q · dS) = ∫∫(-45yj - 45zk) · (-j -k) dy dz

To find the limits of integration, we note that the surface extends from y² + z² = 6 to the origin, which corresponds to 0 ≤ y² + z² ≤ 6. Since the surface is symmetric, we can integrate over a quarter of the surface, from y = 0 to y = √6 and z = 0 to z = √6.

Performing the integration, we get:

∫∫(q · dS) = ∫[0 to √6] ∫[0 to √6] (-45y - 45z) dy dz

Evaluating this double integral will give us the rate of heat flow inward across the cylindrical surface.

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what is the approximate area of the hexagon? 224 cm2 336 cm2 448 cm2 672 cm2

Answers

The value of area of hexagon is,

A = 672 cm²

Given that;

In a hexagon;

Apothem of the hexagon = 14 cm

And, perimeter of the hexagon: 96 cm

Since, We know that,

Area of the hexagon = [(3√3) / 2] a²    

where, a is the measure of the side

Since, hexagon has 6 sides.

Perimeter = 6a

96 cm = 6a

96 cm / 6 = a

16 = a

We can also use the area of a triangle to approximate the area of the hexagon. There are 6 triangles in the hexagon .

Area of a triangle = (height x base) / 2

A = (14 cm x 16 cm) / 2

A = 224 / 2

A = 112 cm²

So, Area of hexagon is,

A = 112 cm²  x  6 triangles

A = 672 cm²

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Complete question is,

A regular hexagon has an apothem measuring 14 cm and an approximate perimeter of 96 cm.

What is the approximate area of the hexagon?

224 cm2

336 cm2

448 cm2

672 cm2

Find the deflection u (x, y, t) satisfying the wave equation utt = 4 (uxx + Uyy) for a rect- = angular plate with fixed ends and dimensions: horizontal a = 2pi and vertical b initial velocity is g(x, y) = 0 The initial displacement is f(x, y) = - 3sin(5x) * sin(6y) + 11sin(6x) * sin(9y)

Answers

TheThe general solution to the wave equation utt = 4 (uxx + Uyy) is given by the D’Alembert’s formula. Therefore, the solution to the given problem is obtained by finding the specific form of the initial conditions u (x, y, 0) = f (x, y) and ut (x, y, 0) = g (x, y) and then use these values to find u (x, y, t) using the D’Alembert’s formula.

Let us find the form of the wave u(x,y,t) that satisfies the wave equation utt = 4 (uxx + Uyy) given the initial displacement f(x,y) = -3sin(5x)sin(6y) + 11sin(6x)sin(9y) and g(x,y) = 0.

Solution:
The D’Alembert’s formula for the wave equation is given by:

`u(x,y,t) = (1/2) [f(x+ct,y) + f(x-ct,y)] + (1/(2c)) ∫_((x-ct))^(x+ct)∫_((y-c(t-s)))^(y+c(t-s)) g(s,r) dr ds`

where c is the speed of the wave. Comparing with the wave equation `utt = c^2(uxx + uyy)` we have `c = 2`

Therefore, the solution to the wave equation is given by:

`u(x,y,t) = (1/2) [-3sin(5(x+2t))sin(6y) -3sin(5(x-2t))sin(6y) +11sin(6(x+2t))sin(9y) +11sin(6(x-2t))sin(9y)]`

Hence, the solution is:

`u(x,y,t) = (1/2) [-3sin(5(x+2t))sin(6y) -3sin(5(x-2t))sin(6y) +11sin(6(x+2t))sin(9y) +11sin(6(x-2t))sin(9y)]`

So, this is the required solution.

2. One of the goals of this lab is to become familiar with different shapes of simple molecules. a. What is the name of the theory used to predict molecular geometries? b. Suppose a molecule consists of a central atom bonded to 2 outer atoms. There are two lone pairs on the central atom. What is the name of the molecular shape of this molecule? c. Suppose a molecule consists of a central atom bonded to 4 outer atoms. There are no lone pairs on the central atom. What is the name of the molecular shape of this molecule?

Answers

a. The name of the theory used to predict molecular geometries is the VSEPR (Valence Shell Electron Pair Repulsion) theory.

b. The name of the molecular shape for a molecule consisting of a central atom bonded to 2 outer atoms with two lone pairs on the central atom is "bent" or "angular." This molecular shape is also sometimes referred to as "V-shaped" due to its characteristic angular structure.

c. The name of the molecular shape for a molecule consisting of a central atom bonded to 4 outer atoms with no lone pairs on the central atom is "tetrahedral." This molecular shape is characterized by a central atom at the center with four symmetrically arranged outer atoms, forming a three-dimensional tetrahedron-like structure.

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if you withdraw part of your money from a certificate of deposit before the date of maturity, you must pay an interest penalty. suppose you invested $9000 in a one-year certificate of deposit paying 8.3% interest. when you decide to withdraw $9000 early, your interest penalty is 3 months simple interest on the $9000. what interest penalty do you pay? (round your answer to two decimal places.) expression is equivalent to 7.659 The following statements are taken from a recent newspaper article about the Chinese economy. For each statement, write either "A" if it is likely to lead to a nominal appreciation fo Chinese currency, or "D" if it is likely to lead to depreciation. Pick one of the items and provide a brief explanation of why you would think it would lead to either appreciation or depreciation. (a) China's exports were stable in September, while imports fell 10.9 percent; the trade surplus for the month rose to $45.6 billion. 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Calculate the burnout velocity required to transfer a probe between the vicinity of the Earth (assumere = 1 DU) and the Moon's orbit using a Hohmann transfer. What additional AV would be required to place the probe in the same orbit as that of the Moon. Neglect the Moon's gravity in both parts. Roy's Toys is a manufacturer of toys and children's products. The following are selected items appearing in a recent balance sheet Cash and short-term investments Receivables Inventories Prepaid expenses and other current assets Total current liabilities Total 1iabilities Total stockholders' equity $ 49 157 72 39 134 206 344 Dollar amounts stated above are in millions. a-1. Using the information above, compute the amounts of Roy's Toys quick assets. (Enter your answer in millions of dollars.) a-2. Using the information above, compute the amounts of Roy's Toys total current assets. (Enter your answer in millions of dollars.) b-1. Compute for Roy's Toys quick ratio. 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Working capital million 3, a 1 octahedral complex is found to absorb visible light, with the absorption maximum occurring at 523 nm . calculate the crystal-field splitting energy, , in kj/mol. Read the passage below and then answer the questions. Refer to the equations as needed. Ecologists think that they are seeing a change in an elk population that has moved 200 miles north over the last 20 years. They are now moving further into the snowy forests of Canada. It appears as though there are more albino elks than there were when the population was first studied. In order to determine if the population is actually changing, ecologists must first determine the allelic frequencies of the population. There are a total 126 elk in this population. 2. Within this population, 20 are albino. Albinism is caused by a recessive pigment, which indicates that 20 elk are homozygous recessive. What is the frequency of the homozygous recessive genotype? 3. Using your answer to \#2, solve for q: 4. Solve for p : 5. How many heterozygous individuals can be found in the population? 6. How many homozygous dominant elk can be found in the population? 7. The last known data of the elk population regarding albinism was recorded in 1995 . Then, the population had 92 individuals and of those 92,3 were albino. What was the allelic frequency of the recessive allele? 8. Has the allelic frequency changed since 1995? Offer an explanation as to why or why not: Holland Construction Co. has an outstanding 180-day bank loan of $400,000 at an annual interest rate of 9.6%. The company is required to maintain a 14% compensating balance in its checking account. Wh Explain how the Washington Consensus can be seen as a responseto the development planning of the 70s. A rephrasing of the Clausius Statement of the 2nd Law is given below. Is it accurate? It is impossible for heat to be spontaneously transferred from a cold region to a warm region. O True O False As the solar system formed, how did the higher proportion of radioactive elements in the protoplanets influence planetary development?A. It reinforced the compression caused by gravity.B. It powered the motion of planets toward their final orbits.C. It provided a heat source to help drive layer differentiation.D. It altered the elements so planets would have the same compositions. You are an investor who bought 100 shares of a company at $35 per share with a stock on margin of 60%. The stock is now trading at $50 per share, and the initial margin requirements has been lowered to 50%. You now want to buy 300 more shares of the stock. What is the minimum amount of equity that you will have to put up in this transaction? "*Sea otters are native to the western cosst of North America. Between 1750 and 1850 , hunting had reduced the population from hundreds of thousands to only one thousand Individuals. In the early 1900 s, a small population of sea otters was discovered in Elkhorn Slough, an estuary in central California near a large human population center. The otters were then protected by the international fur seal treaty, which banned sea otter hunting. The sea otter population has rebounded to nearly three thousand individuals today. Otters live in kelp forests and eelgrass beds and feed on crabs and shellfish (Figure 1). Most herbivores in the habitat eat algae that grows on the eelgrass and not the eelgrass itself. If there is too much algae, the eelgrass does not receive enough light for photosynthesis. As the otter population has increased, the eelgrass habitat has increased. Recently, however, scientists have noticed the presence of two nonnative, predatory Invertebrate species that may be coloniaing the Elkhorn Slough, which would have been too cold for them three decades ago. Scientists have also observed that otters in the area are experiencing increased mortality because of an increase in harmful algal blooms, which occur as a result of nutrient pollution. The harmful algae are ingested by shellfish, which the otters eat. As otters were removed during the hunting years, there was a large decrease in the catches of fish species from the eelgrass habitats. Which of the following best explains why this decrease happened?a. Otters are a keystone species, so their disappearance from the area affected the population size of one other species. b. Otters are a keystone species, so their disappearance from the area resulted in the collapse of an entire community. c. Otters have mutualistic relationships with many other specles, so thelr disappearance from the area affected the population size of another species. d. Otters have mutualistic relationships with many other species, so their disappearance from the area resulted in the collapse of an entire ecosystem. Explain your answer choice. 13. A company sells a plant asset which originally cost $355000 for $111000 on December 31, 2021. The Accumulated Depreciation account had a balance of $143000 after the current year's depreciation of $38000 had been recorded. The company should recognize a A. $244,000 loss on disposal B. $63,000 loss on disposal C. $101,000 loss on disposal D. $101,000 gain on disposal Opponents of globalization claim that globalization has led to widespread government corruption as indicated through the extensive use of Multiple Choice Bribery O Comparing O Soliciting O Negotiating It is estimated that 27% of all California adults are college graduates and that 30% of California adults are regular internet users. It is also estimated that 21% of California adults are both college graduates and regular internet users. (a) Among California adults, what is the probability that a randomly chosen internet user is a college graduate? Round your answer to 2 decimal places. (b) What is the probability that a California adult is an internet user, given that he or she is a college graduate? Round your answer to 2 decimal places. (If necessary, consult a list of formulas.) cristiano pedroso earns $84,000 a year. his monthly expenses total $4,500. what is the minimum amount of money that he should set aside in an emergency fund?