McKenzie buys 250 shares of stock for $12 a share and pays a 2% commission. She sells the stock 3 years later for $18 a share and pays a 1% commission. What are her net proceeds?

There are multiple combinations of length and width that can give us an area of 6 cm2. It is important to note that the length and width of a rectangle are interchangeable. This means that if we switch the length and width in any of the above combinations, we will still get the same area of 6 cm2.

Yes, I can definitely help you with that! However, there are multiple possible length and width combinations for a rectangle with an area of 6 cm².

Firstly, let's recall the formula for the area of a rectangle which is:

Area = Length x Width

We know that the area of the rectangle is 6 cm², but we do not have any specific measurements for the length or width. Therefore, we need to find the possible combinations of length and width that will give us an area of 6 cm².

Here are some of the possible combinations:

- Length = 1 cm and Width = 6 cm
- Length = 2 cm and Width = 3 cm
- Length = 3 cm and Width = 2 cm
- Length = 6 cm and Width = 1 cm

As you can see, there are multiple combinations of length and width that can give us an area of 6 cm². It is important to note that the length and width of a rectangle are interchangeable. This means that if we switch the length and width in any of the above combinations, we will still get the same area of 6 cm².

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Answer:

Around 10.8

Step-by-step explana

4²+10²=c

Given

The data is given

10,13,14,15,17,18,20,30,35

Answer:

Step-by-step explanation:

\(\text{Count the zeros, there are seven so }10^7\)

The top of the ladder is sliding down the wall at a rate of 60/13 ft/sec, The area of the triangle is changing at a rate of -35/12 ft^2/sec and The angle between the ladder and the ground is changing at a rate of approximately -4.73 degrees/sec.

Let's denote the distance from the base of the ladder to the house by \($x$\) and the height of the ladder on the wall by \($y$\).

a. We can use the Pythagorean Theorem to relate \($x$\) and \($y$\). Then, taking the derivative of both sides with respect to time, we have:

\($\frac{d}{dt}(x^2+y^2)=\frac{d}{dt}(13^2)$\)

\($2x\frac{dx}{dt}+2y\frac{dy}{dt}=0$\)

We know that \($\frac{dx}{dt}=5$\) ft/sec when \($x=12$\) ft, and we want to find \($\frac{dy}{dt}$\) when

\($x=12$\) ft. We also know that

\($y=\sqrt{13^2-x^2}$\), so \($\frac{dy}{dx}=-\frac{x}{\sqrt{13^2-x^2}}$\).

Using the chain rule, we have:

\($\frac{dy}{dt}=\frac{dy}{dx}\frac{dx}{dt}=-\frac{12}{5\sqrt{119}}$\)  ft/sec

b. The area \($A$\) of the triangle formed by the ladder, wall, and ground is given by:

\($A=\frac{1}{2}xy$\)

Taking the derivative of both sides with respect to time, we have:

\($\frac{dA}{dt}=\frac{1}{2}(y\frac{dx}{dt}+x\frac{dy}{dt})$\)

We know that \($\frac{dx}{dt}=5$\) ft/sec when \($x=12$\) ft, and we want to find \($\frac{dA}{dt}$\) when \($x=12$\) ft and \($\frac{dy}{dt}=-\frac{12}{5\sqrt{119}}$\) ft/sec. Plugging in the values, we get:

\($\frac{dA}{dt}=-\frac{36}{\sqrt{119}}$\) sq ft/sec

c. The angle \($\theta$\) between the ladder and the ground is given by:

\($\sin\theta=\frac{y}{13}$\)

Taking the derivative of both sides with respect to time, we have:

\($\cos\theta\frac{d\theta}{dt}=\frac{1}{13}\frac{dy}{dt}$\)

We know that \($\frac{dy}{dt}=-\frac{12}{5\sqrt{119}}$\) ft/sec when \($x=12$\) ft, and we want to find \($\frac{d\theta}{dt}$\) when \($x=12$\) ft. We can use the Pythagorean Theorem again to find \($\cos\theta$\) when\($x=12$\) ft and \($y=\sqrt{13^2-x^2}$\). Then, plugging in the values, we get:

\($\frac{d\theta}{dt}=-\frac{12\sqrt{6}}{65}$\) rad/sec

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The minimum sterilization time required to achieve a 99.9% confidence level in successfully sterilizing 50 L of medium containing 10^6 contaminating organisms is approximately 1.95 minutes.

To calculate the minimum sterilization time required to yield 99.9% confidence of successfully sterilizing 50 L of medium containing 10^6 contaminating organisms, we need to use the concept of decimal reduction time (D-value) and the number of organisms.

The D-value represents the time required to reduce the population of microorganisms by one log or 90%. In this case, the given D-value is 0.65 minutes.

To achieve a 99.9% confidence level, we need to reduce the population of microorganisms by three logs or 99.9%, which corresponds to a 10^-3 reduction.

To calculate the minimum sterilization time, we can use the following formula:

Minimum Sterilization Time = D-value × log10(N0/Nf)

Where:

D-value is the decimal reduction time (0.65 minutes).

N0 is the initial number of organisms (10^6).

Nf is the final number of organisms (10^6 × 10^-3).

Let's calculate it step by step:

Nf = N0 × 10^-3

= 10^6 × 10^-3

= 10^3

Minimum Sterilization Time = D-value × log10(N0/Nf)

= 0.65 minutes × log10(10^6/10^3)

= 0.65 minutes × log10(10^3)

= 0.65 minutes × 3

= 1.95 minutes

Therefore, the minimum sterilization time required to yield 99.9% confidence of successfully sterilizing 50 L of medium containing 10^6 contaminating organisms using this procedure is approximately 1.95 minutes

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So the probability, rounded to the nearest thousandth, of getting at least 2 fours in 5 rolls of a fair die is 0.194.

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

The probability of getting at least 2 fours is the sum of the probabilities of getting exactly 2, 3, 4, or 5 fours:

P(X ≥ 2) = P(X=2) + P(X=3) + P(X=4) + P(X=5)

Using the binomial formula, we can calculate each of these probabilities:

P(X=k) = (n choose k) p^k (1-p)^(n-k)

where (n choose k) is the binomial coefficient, which represents the number of ways to choose k items from n distinct items.

P(X=2) = (5 choose 2) (1/6)² (5/6)³ = 0.1608

P(X=3) = (5 choose 3) (1/6)³ (5/6)² = 0.0322

P(X=4) = (5 choose 4) (1/6)⁴ (5/6)¹ = 0.0013

P(X=5) = (5 choose 5) (1/6)⁵ (5/6)⁰ = 0.00003

Therefore,

P(X ≥ 2) = 0.1608 + 0.0322 + 0.0013 + 0.00003 = 0.1943

So the probability, rounded to the nearest thousandth, of getting at least 2 fours in 5 rolls of a fair die is 0.194.

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The percentage of the students who wore a silly hat is 64 %.

The percentage is defined as a ratio expressed as a fraction of 100.

We have been given that Last Tuesday was a silly hat day at Aaron's school. 64 students wore a silly hats and 36 students did not.

We have to determine the percentage of the students who wore a silly hat

The total number of students = 64 students wore silly hats and 36 students did not.

The total number of students = 64 + 36 = 100

We have to determine the percentage of the students who wore a silly hat

The percentage of the students wore a silly hat = (64/ 100) × 100

The percentage of the students wore a silly hat = 0.64 × 100

The percentage of the students wore a silly hat = 64 %

Thus, the percentage of students who wore silly hats is 64 %.

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The correct values of x and y for FGHJ to be a parallelogram are x=11 and y=25.

Regarding the parallelograms:

True or False – ∠D≅∠G: True. In parallelograms, opposite angles are congruent, so ∠D and ∠G are congruent.

True or False – AD¯¯¯¯¯¯¯¯≅BC¯¯¯¯¯¯¯¯: False. In parallelograms, opposite sides are congruent, so AD¯¯¯¯¯¯¯¯ is not necessarily congruent to BC¯¯¯¯¯¯¯¯.

True or False – ∠A≅∠G: False. ∠A and ∠G are not necessarily congruent in parallelograms.

True or False – ∠B≅∠F: False. ∠B and ∠F are not necessarily congruent in parallelograms.

Regarding the window FGHJ:

To determine the values of x and y for FGHJ to be a parallelogram, we need opposite sides to be parallel and congruent.

Looking at the given options:

x=11, y=21: Not a parallelogram, as opposite sides are not parallel and congruent.

x=12, y=25: Not a parallelogram, as opposite sides are not parallel and congruent.

x=11, y=25: A possible parallelogram, as opposite sides FG and HJ are parallel and congruent.

x=12, y=21: Not a parallelogram, as opposite sides are not parallel and congruent.

Therefore, the correct values of x and y for FGHJ to be a parallelogram are x=11 and y=25.

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It would be unusual if less than 7% of the individuals in the sample of 333 held multiple jobs. To determine if it would be unusual, we can use the binomial distribution and compare the probability of observing less than 7% with a significance level.

Given that about 12% of employed adults in the United States hold multiple jobs, we can estimate the probability of an individual in the sample holding multiple jobs as 0.12. Therefore, the probability of an individual not holding multiple jobs is 1 - 0.12 = 0.88.

Using the binomial distribution, we can calculate the probability of observing less than 7% of individuals holding multiple jobs in a sample of 333.

Let X be the number of individuals holding multiple jobs. We are interested in P(X < 0.07 * 333). To calculate this probability, we sum the probabilities of X = 0, 1, 2, ..., 22.

If the probability is below a certain significance level (commonly 0.05), we consider it unusual. In this case, we calculate P(X < 0.07 * 333) and compare it to 0.05.

If the probability is less than 0.05, it would be considered unusual.

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Step-by-step

=> 900=-100x+300

=> -100x+300=900

=> -100x=900–300

=> -100x=600 divide both side by -100

=> x=-6

You start with  900= -100x + 300

you want to get x by itself on a side of the equation

you can do this by adding -100x to both sides of the equation

this would make it look like 900 + 100x = -100x + 100x + 300

if you simplify, you get 900 + 100x = 300

then subtract 900 on both sides to get x by itself

you will end up with 100x = -600

you divide both sides by 100 to get x by itself and you will end up with

x = -6

if you have any questions ask me and ill answer :)

Answer:

9

Step-by-step explanation:

Because you know that 350 x 10 is 3500 but if you want it in the middle it will be 9

Answer:

A parallelogram is a quadrilateral with 2 pairs of parallel opposite and equal sides. Similarly, the opposite angles in a parallelogram are equal in measure

Step-by-step explanation:

Answer: Parallelogram

Rectangle

Square

Step-by-step explanation:

Answer:

112b^2

Step-by-step explanation:

When you multiply two negative numbers, the outcome will always become positive.

7bx16b= 112b^2

Answer:

112b^2

Step-by-step explanation:

if Σan > bn for all n and Σbn is known to be convergent, then we can say that Σan is also convergent.

If Σan > bn for all n and Σbn is known to be convergent, then we can say that Σan is also convergent. This is because if the terms of Σan are greater than the terms of Σbn, then Σan must also converge since Σbn does.

To see why this is the case, we can use the comparison test for series. The comparison test states that if 0 ≤ bn ≤ an for all n, and Σbn converges, then Σan also converges. In this case, we know that Σbn converges, and we have the inequality Σan > bn for all n. Since bn is positive and convergent, we have 0 ≤ bn < M for some M, which means that 0 ≤ an < M for all n as well.

Therefore, we have 0 ≤ bn ≤ an < M for all n, satisfying the conditions of the comparison test. This means that Σan must also converge, since it is bounded above by the convergent series Σbn.

In summary, if Σan > bn for all n and Σbn is known to be convergent, then we can conclude that Σan is also convergent.

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The correct statement for the symbol of a radioactive nuclide is the number of neutrons present in the nucleus of each atom is 126.

Radioactive nuclide or radioisotope is a different species of chemical element which have a similar mass.

These elements have unstable nuclei, which waste energy by emitting radiation such as alpha, and beta-gamma rays.

Thus, the correct option is C, the number of neutrons present in the nucleus of each atom is 126.

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Answer:

c

Step-by-step explanation:

Answer:

4/5

Hope this helps!!

Step-by-step explanation:

ratio =4:1

total= 4+1 =5

1/5 × 52= 10.4 years

Answer:

Step-by-step explanation:

let age of Shyam=x

age of Ram=x+4

x+x+4=52

2x=52-4=48

2x=48

x=48/2=24

age of Shyam=24 years

age of Ram=24+4=28 years.

Answer:

Nominal decisions can be broken into two distinct categories: dichotomous decisions and polychotomous decisions.

a) The exponential equation to model the value of the car (V) as a function of time (t) can be written as V = 25000 * (0.88)^t, where t represents the number of years and 0.88 is the depreciation factor due to the 12% annual depreciation.

b) After 5 years, the car will be worth approximately $14,693.53.

a) To model the value of the car as a function of time, we can use the formula for exponential decay, where the initial value (V₀) is $25,000 and the decay factor (a) is 0.88 (representing the 12% annual depreciation).

Therefore, the exponential equation can be written as V = V₀ * a^t, which translates to V = 25000 * (0.88)^t.

b) To calculate the value of the car after 5 years, we substitute t = 5 into the equation:

V = 25000 * (0.88)^5

V ≈ 25000 * 0.5848

V ≈ 14,693.53

Hence, after 5 years, the car will be worth approximately $14,693.53.

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1. Supplementary

2. Complementary

3. Adjacent angles

4. Vertically opposite angles

Hope it helps. Please mark brainliest.

Regarding the exponential function y = 3(2)^x, we have that:

An exponential function is defined as follows:

y = ab^(x/n).

In which the parameters are defined as follows:

The function for this problem is given as follows:

y = 3(2)^x.

Hence the parameters are given as follows:

At x = 3, the numeric value of the function is obtained as follows:

y = 3 x 2^3

y = 3 x 8

y = 24.

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Answer:

The answer should be A.

Step-by-step explanation:

Well, to determine how two triangles are similar you first look at the image of what they give you.

As you can see the images shows only degree angles.

Looking at your option to see degree angles.

In some options, there is a side length of a triangle, but we aren't given a side length on both triangles so that answer does that apply.

Our last option is between A and D.

D is false as we determine the triangles are similar to each other.

RCW and VCB are vertically opposite meaning their 25° are the same to each other.

We know that every triangle adds up to 180.

Answer: 20 days

Step-by-step explanation:

First, we find the food provisioned for 1 man will last for how many days

Take 80 times 30 = 2400 days

Now we know that 40 more joined

80 + 40 = 120 serve

So, we take 2400 divided by 120 = 20 days

Answer:

The independent variable is the variable that is manipulated or changed during an experiment. In this case, the independent variable is represented by the x-values of the given points.

So, the answer would be option A: {-2, 3, 1, 5}

Step-by-step explanation:

brainliest Plsssss

Answer:

1/15

Step-by-step explanation:

sin P = ON / PN = 2/30 = 1/15

Answer:

the answer is 1/15 hope it helps

Answer:

b = 21

Step-by-step explanation:

If there are 5 arithmetic means between 5 and b and the last term is 25, then we can find the value of b by using the formula for the nth term of an arithmetic sequence:

a_n = a_1 + (n - 1)d

where a_n is the nth term, a_1 is the first term, n is the number of terms, and d is the common difference.

We know that there are 5 arithmetic means between 5 and b. Therefore, there are 7 terms in total (including 5 and b). We also know that the last term is 25. So we have:

a_7 = 25 a_1 = 5 n = 7

We can use these values to solve for d:

a_n = a_1 + (n - 1)d 25 = 5 + (7 - 1)d d = 4

Now that we know d, we can find b by using the formula for the fifth term:

a_5 = a_1 + (5 - 1)d a_5 = 5 + (4)(4) a_5 = 21

Therefore, b = 21.