You pick a card from a standard deck, look at it, then pick a second card. Since a standard deck of 52 cards has 13 hearts and 13


diamonds, is the probability of drawing a heart and then a diamond 13/52 x 13/52

Answer : Rena's weekly gross earnings are $976.31.

Step-by-step explanation :

As we are given total earning of Rena per year is $50,768.

Now we have to calculate her weekly gross earnings.

As we know that in one year there are 52 weeks.

That means,

1 year = 52 weeks

According to the question:

As, Rena earns in 52 weeks = $50,768

So, Rena earns in 1 week = \(\frac{\$ 50,768}{52}\)

                                          = $976.31

Therefore, Rena's weekly gross earnings are $976.31.

Answer:

possblie awnser is 1:Possible answer for Triangle 1: m∠A = 70°; m∠B = ∠55°; m∠C = 55°.

The compass marks equal lengths on both sides of ∠A; therefore, AB

Step-by-step explanation:

Answer:

m<M =100 M<N=60 m<p=20

Step-by-step explanation:

Answer: $25

Step-by-step explanation:

Add 10 and 15 to get 25

Answer: n=5

Step-by-step explanation:

7n + 2 = 4n + 17, so first we subtract 2 from both sides.

      -2           -2

Now the equation should look like this:

7n= 4n + 15

Now since 4n is smaller than 7n we are going to subtract 4n from both sides.

7n = 4n  +15

-4n  -4n  

Now the equation should look like this:

3n = 15

All that is left to do is divide by 3 on both sides.

3n/3 = 15/3

n = 5

The equivalent value of the expression is n = 5

Given data ,

Let the equation be represented as A

Now , the value of A is

7n + 2 = 4n + 17

On simplifying the equation , we get

7n + 2 = 4n + 17

So , the left hand side of the equation is equated to the right hand side by the value of ( 4n + 17 )

Subtracting 4n on both sides , we get

3n + 2 = 17

Subtracting 2 on both sides , we get

3n = 15

Divide by 3 on both sides , we get

n = 15/3

On simplifying , we get

n = 5

Therefore , the value of n = 5

Hence , the expression is n = 5

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The best estimate of the number of raccoons in the area is approximately 71.

The best estimate of the number of raccoons in the area can be obtained using the mark and recapture method, also known as the Lincoln-Petersen index.

The formula for the Lincoln-Petersen index is:

Estimated population size = (Number of marked individuals in first sample * Total number of individuals in second sample) / Number of marked individuals recaptured in second sample

In this case, 16 raccoons were initially captured and tagged, and in the subsequent sample of 40 raccoons, 9 were found to be tagged.

Using the formula, the estimated population size would be:

Estimated population size = (16 * 40) / 9 = 71.11

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The standard form of the line with x-intercept of 6 and y-intercept of 5 is

5x + 6y = 30

The equation in standard form can be represented as follows:

Ax + By = C

Where

Therefore, let's find the standard form of the equation with x -intercept of 6 and y-intercept of 5.

The x-intercept is the value of x when y = 0 and the y-intercept is the value of y when x = 0.

Therefore,

(6, 0)(0, 5)

using the form y = mx + b

where

m = 5 - 0 / 0 - 6

m = - 5  / 6

Therefore,

y = - 5 / 6 x + 5

5  /6 x + y = 5

multiply through by 6

Therefore,

5x + 6y = 30

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Option c. 0.4926. The effective interest rate with daily compounding is 0.4926 percentage points higher than with monthly compounding.

The viable financing cost is the genuine measure of revenue that Anna pays, considering the building recurrence. To look at the successful loan fee when the interest is accumulated day to day versus month to month, we can utilize the equation:

Viable financing cost = (1 + (expressed loan fee/n))^n - 1

where n is the quantity of intensifying time frames each year. For month to month compounding, n = 12, and for everyday compounding, n = 365.

Connecting the qualities, we get:

For month to month compounding: (1 + (0.1022/12))^12 - 1 = 0.1066 or 10.66%

For everyday compounding: (1 + (0.1022/365))^365 - 1 = 0.1115 or 11.15%

The contrast between the two powerful loan costs is 0.1115 - 0.1066 = 0.0049 or 0.49%, which is around 0.4926 rate focuses. In this manner, the right response is (c) 0.4926 rate focuses.

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Answer:

a) growth

Step-by-step explanation:

f(t) = 1/4 × 4^t

let t = 2

f(2) = 1/4 × 4²

f(2) = 4

let t = 3

f(3) = 1/4 × 4³

f(3) = 16

As the value of t increases, the output increases, so the answer is a) growth.

Given:

A line is perpendicular to the line \(y=\dfrac{7}{2}x-13\).

The line passes through the x-axis at 21.

To find:

The equation of the line in slope intercept form.

Solution:

The slope intercept form of a line is:

\(y=mx+b\)

Where, m is the slope and b is the y-intercept.

The given line is:

\(y=\dfrac{7}{2}x-13\)

So, the slope of this line is \(\dfrac{7}{2}\).

The product of slopes of two perpendicular lines is -1.

Let m be the slope of required line. Then the slope of the required line is:

\(m\times \dfrac{7}{2}=-1\)

\(m=-\dfrac{2}{7}\)

The line passes through the x-axis at 21. It means the line passes through the point (21,0). So, the equation of the line is:

\(y-y_1=m(x-x_1)\)

\(y-0=-\dfrac{2}{7}(x-21)\)

\(y=-\dfrac{2}{7}(x)-\dfrac{2}{7}(-21)\)

\(y=-\dfrac{2}{7}x+6\)

Therefore, the equation of the required line is \(y=-\dfrac{2}{7}x+6\).

Answer:

there is no real solution

Step-by-step explanation:

There is no number that, when squared, produces a negative value. A negative multiplied by a negative gives a positive, and a positive times a positive gives a positive. You can however have a ± symbol to indicate that the root of 36 could be either positive or negative

Answer:

(0,3)

Step-by-step explanation:

Answer:

The answer is 15

Step-by-step explanation:

Count the small triangles then the whole they make up

The first derivative of f(t) = 200t is f'(t) = 200.

a) To find the first derivative of f(t) = 200t, we can apply the power rule of differentiation. According to the power rule, if we have a function of the form f(t) = ct^n, where c and n are constants, the derivative is given by:

f'(t) = nct^(n-1)

In this case, we have f(t) = 200t, where c = 200 and n = 1. Applying the power rule, we get:

f'(t) = 1 * 200 * t^(1-1) = 200 * t^0 = 200

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By multiplying the duration of each episode by the number of episodes watched and then converting minutes to days, we find that you spent around 2.285 days of your life watching your favorite TV show.

To calculate the total number of minutes spent watching the show, multiply the duration of each episode (53 minutes) by the number of episodes watched (62). This gives us 3296 minutes.

To convert minutes to days, divide the total number of minutes by the number of minutes in a day (1440 minutes).

3296 minutes / 1440 minutes per day = 2.285 days.

Therefore, you spent approximately 2.285 days of your life watching this show.

In conclusion, by multiplying the duration of each episode by the number of episodes watched and then converting minutes to days, we find that you spent around 2.285 days of your life watching your favorite TV show.

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Answer:

I mean, I think it varies by house and by location but a general range would be:

Min: 64 *F

Max: 74 *F

DI is generally considered to provide the highest level of control to investing firms compared to other modes of entry.

The mode of entry that offers the highest level of control to the investing firms is d. FDI (Foreign Direct Investment).

Foreign Direct Investment refers to when a company establishes operations or invests in a foreign country with the intention of gaining control and ownership over the assets and operations of the foreign entity. With FDI, the investing firm has the highest level of control as they have direct ownership and decision-making authority over the foreign operations. They can control strategic decisions, management, and have the ability to transfer technology, resources, and knowledge to the foreign entity.

In contrast, the other modes of entry mentioned have varying levels of control:

a. Contractual Agreements: This involves entering into contractual agreements such as licensing, franchising, or distribution agreements. While some control can be exercised through these agreements, the level of control is typically lower compared to FDI.

b. Joint Venture: In a joint venture, two or more firms collaborate and share ownership, control, and risks in a new entity. The level of control depends on the terms of the joint venture agreement and the ownership structure. While some control is shared, it may not offer the same level of control as FDI.

c. Equity Participation: Equity participation refers to acquiring a minority or majority stake in a foreign company without gaining full control. The level of control depends on the percentage of equity acquired and the governance structure of the company. While equity participation provides some level of control, it may not offer the same degree of control as FDI.

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Answer:

She will be paid $1,350

Step-by-step explanation:

Let the flat rate be $x and the fixed percentage be y% = y/100

Thus, her payment per month will be

x + (y% of monthly amount) = Payment

For the 1st month, her pay calculations will look like this;

x + y/100 *(16,000) = 1,600

x + 160y = 1600 •••••••••(i)

For the month before the last, her calculations would be;

x + y/100(12,000) = 1,400

x + 120y = 1,400 ••••••••(ii)

It is these two equations that we now solve simultaneously.

We can directly get this by subtracting equation ii from i

That would be;

(x-x) + (160y-120y) = (1600-1400)

40y = 200

y = 200/40

y = 5%

To get x, we can substitute in any of the equations

Let us use equation ii

x + 120(5) = 1,400

x + 600 = 1,400

x = 1,400-600

x = $800

Thus, for $11,000 , the equation will be as follows;

x + (y% of amount) = payment

= $800 + (5/100 * 11,000) = $800 + $550 = $1,350

Answer:

$1350

Step-by-step explanation:

A salesperson is paid a flat rate plus a fixed percentage of her sales. Last month, she sold $26,000 worth of food and was paid $11,600 two months ago she had $12,000 in sales and was paid $1,4000 this month she sold $1,000 worth of goods how much will she be paid $1350

The exercise involves finding the product C = AB, where matrix A is given by [2 9] and matrix B is given by [3 6 1]. We need to perform the matrix multiplication to obtain the resulting matrix C.

Let's calculate the matrix product C = AB step by step:

Matrix A has dimensions 2x1, and matrix B has dimensions 1x3. To perform the multiplication, the number of columns in A must match the number of rows in B.

In this case, both matrices satisfy this condition, so the product C = AB is defined.

Calculating AB:

AB = [23 + 912 26 + 94 21 + 95]

[103 + 612 106 + 64 101 + 65]

Simplifying the calculations:

AB = [6 + 108 12 + 36 2 + 45]

[30 + 72 60 + 24 10 + 30]

AB = [114 48 47]

[102 84 40]

Therefore, the product C = AB is:

C = [114 48 47]

[102 84 40]

In summary, the matrix product C = AB, where A = [2 9] and B = [3 6 1], is given by:

C = [114 48 47]

[102 84 40]

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The net income reported by the firm in fiscal 2019 is $16,424.

To calculate the net income for fiscal 2019, we need to consider the change in retained earnings. Retained earnings represent the accumulated net income of a company over time.

The change in retained earnings can be calculated by subtracting the beginning retained earnings from the sum of dividends and ending retained earnings. In this case, the beginning retained earnings were $35,525, dividends were $4,958, and ending retained earnings were $40,991.

Change in retained earnings = Ending retained earnings - Beginning retained earnings - Dividends

Change in retained earnings = $40,991 - $35,525 - $4,958

Change in retained earnings = $4091

Since net income is equal to the change in retained earnings, the net income reported in fiscal 2019 is $16,424 ($40,991 - $35,525).

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The linear equation that models the total cost for x students y = 35.5x + 500.SCBCS pays an additional fee of $500.

A linear equation is a polynomial with a degree of one. The standard form of a linear equation is:

y = mx + b

Where m is the rate of change and b is the y intercept

Let y represent the total cost needed for x students to attend the amusement park.

Each ticket cost $35.50 per student. Hence:

y = 35.5x + b

SCVCS will need to pay $3,411 to the amusement park for 82 students, hence:

3411 = 35.5(82) + b

b = 3411 - 35.5(82)

b = 500

The linear equation becomes y = 35.5x + 500

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Answer:

y = 1x - 1

Step-by-step explanation:

\(\frac{y2-y1}{x2-x1}\\\frac{1-(-4)}{2-(-3)}\\\frac{1+4}{2+3}\\\frac{5}{5}=1\\y=1x+b\\1=1(2)+b\\1 = 2 + b\\-1 = b\\y = 1x-1\)

Let assume the probability of the three events as P(A), P(B), and P(C), respectively. Then:

(a) The probability that at least one of the three events occurs is given by:

P (A or B or C) = 1 - P (not A and not B and not C) = 1 - P (not A) * P (not B) * P (not C)

where P (not A) is the complement of P (A), and similarly for P (not B) and P (not C).

(b) The probability that exactly one of the three events occurs can be calculated by adding the probabilities of each event occurring individually and then subtracting the probability that two events occur simultaneously.

P (exactly one) = P(A) + P(B) + P(C) - 2 * P (A and B) - 2 * P (A and C) - 2 * P(B and C) + 3 * P (A and B and C)

Note that the above formulas assume that the events are mutually exclusive and exhaustive, meaning that one and only one of the events must occur and the sum of the probabilities of the individual events is equal to 1.

If this is not the case, the probabilities need to be adjusted accordingly.

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Answer:

I believe 9

Step-by-step explanation:

18/2=9 i think this is your answer

The type of fee that will be charged depends on the specific service provided by the broker to the client. Non-transaction fees are typically charged for account maintenance or access to investment tools, while transaction fees are charged for specific trades or transactions.

To determine the type of fee that will be charged in each situation, we need to consider the specific services that were provided by the broker to the client.

For Joanne, her brokerage firm charged her a fee for providing investment information to help her make informed choices. This type of fee is a non-transaction fee, as it is not related to a specific transaction or trade.

Pete, who hasn't bought or sold any stock this year, was charged an inactivity fee of $75 for the year by his broker. This fee is also a non-transaction fee, as it is not related to a specific trade but rather to the inactivity of the account.

John's broker provided him with stock trading software to manage his trading. This type of service is typically included in a brokerage firm's platform fee, which is a non-transaction fee that covers the cost of maintaining the software and other tools that clients can use to manage their investments.

Lisa sold 50 shares of stock A on a given day and her broker charged her $12 for this trade. This type of fee is a transaction fee, which is charged for each specific trade or transaction that a client makes.

Finally, Reggie's broker charged him a front-end load of 2.75% when he purchased a fund. This fee is a type of sales charge or commission that is applied to the initial investment and is considered a transaction fee.

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The total number of burgers sold by considering the common ratio factor between the quantities. It sold a total of 51 burgers, including 30 burgers with cheese and 21 burgers without cheese.

The ratio of burgers sold with cheese to those without cheese is given as 10:7. Let's assume the common factor between these two numbers is x. Therefore, the actual number of burgers sold with cheese is 10x, and the number of burgers sold without cheese is 7x.

We are given that 10x represents 30 burgers with cheese. To find the value of x, we divide 30 by 10, which gives x = 3. Therefore, there were 3 sets of 10x burgers sold with cheese, resulting in a total of 30 burgers with cheese.

To find the total number of burgers sold, we add the number of burgers with cheese and without cheese: 10x + 7x = 17x. Substituting x = 3, we get 17 * 3 = 51. Therefore, the fast food restaurant sold a total of 51 burgers, including 30 burgers with cheese and 21 burgers without cheese.

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Answer:

The answer is D. 12

Step-by-step explanation:

In 3 hours, it prints 500 shirts. That means 6 hours it will print 1,000 shirts, in 9 hours it will print 1,500 shirts, and in 12 hours, it will print 2,000 shirts. So in 12 hours, it will print 1,800 shirts.

Mike works 39 hours per week at Job A and 20 hours per week at Job B.

We need to formulate some expressions here.

Let:

Hours Mike works at Job A = x

Hours Mike works at Job B = y

We know that:

x + y = 59 ---------- equation 1

We also know that he makes $6 per hour at Job A, and $7 per hour at Job B, and his total pay is $374. So we can set up another equation based on his total pay:

6x + 7y = 374 --------- equation 2

Now we have two equations with two unknowns, which we can solve simultaneously.

Using substitution method:

solve for x in terms of y:

x = 59 - y

We can substitute this expression for x into equation 2:

6(59 - y) + 7y = 374

Simplifying and solving for y:

354 - 6y + 7y = 374

y = 20

So Mike works 20 hours per week at Job B. We can substitute this value for y into equation 1 to find x:

x + 20 = 59

x = 39

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