SOLE PSL BRAINLEST GIVEN

Answer:

Step-by-step explanation:

Year 1: $850 * 0.91 = $773.50

Year 2: $773.50 * 0.91 = $704.69

Year 3: $704.69 * 0.91 = $641.95

...

Year 34: (continue the pattern)

We can continue this calculation for each year, but to save time, we can use an exponential decay formula:

Remaining Amount = Initial Amount * (1 - rate)^years

Substituting the values:

Remaining Amount = $850 * (1 - 0.09)^34

Calculating this expression:

Remaining Amount ≈ $850 * (0.91)^34 ≈ $255.88

After 34 years, approximately $255.88 will be left with Sally.

Answer:

16.2

Step-by-step explanation:

Use the law of cos

c^2 = 8^2+10.4^2-2*8*10.4*cos(122.2 degrees)

=260.83

c = √260.83 = 16.15

The missing side of the triangle is 16.2 km (round to the nearest tenth)

If a, b, c are sides of a triangle & C be the angle opposite to side c, then

c²=a²+b²-2ab cosC

Here, in the given question, a = 8km & b = 10.4 km

Also the angle opposite to the third side c (say) is C = 122.2°

So, according to the law of cosines,

c²=(8)²+(10.4)²-2(8)(10.4) cos(122.2°)

⇒ c²= 64+108.16-(-88.67)

⇒ c²= 172.16+88.67

⇒ c²= 260.83

⇒ c= √(260.83)

⇒ c= 16.15 = 16.2(approx)

So, the missing side = 16.2 km

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Answer:

There are a total of 25 marbles in the bag.

The probability of choosing a red marble first is 8/25 since there are 8 red marbles out of 25 marbles in the bag.

Since a marble is not replaced after the first selection, there are now 24 marbles in the bag. There are still 3 blue marbles in the bag.

The probability of choosing a blue marble second, after a red marble has already been selected, is 3/24 or 1/8 since there are 3 blue marbles left out of 24 marbles in the bag.

To find the probability of both events occurring together, we multiply their individual probabilities:

8/25 x 1/8 = 1/25

Therefore, the probability that a red marble is chosen first, followed by a blue marble, is 1/25.

Answer:

$3.10 per gallon

Step-by-step explanation:

Take the total cost and divide by the number of gallons

68.30/22

3.1045454545

Round to the nearest cent

$3.10 per gallon

Answer:

$3.10 per gallon

Step-by-step explanation:

You just have to divide $68.30 by 22. (And round)

$68.30 divided by 22 = 3.10

So, you answer will be 3.10

Hope this helps! And happy Halloween x-x

^w^

Answer:

1, 0, -1, -2, -3, -4, -5, 3, 4, 5, 6, 7, 8, 9

Step-by-step explanation:

The number of shares could he buy is 63.19 and 126.38. Then the profit gained by Bob is $764.68.

Bob Orleans invested $3,000 and borrowed $3,000 to purchase shares in Verizon Communications.

At the time of his investment, Verizon was selling for $47 a share.

If Bob paid a $30 commission, then the number of shares could he buy if he used only his own money and did not use margin.

\(\rightarrow \dfrac{3000- 30}{47}\\\\\rightarrow \dfrac{2970}{47}\\\\\rightarrow 63.19\)

If Bob paid a $60 commission, then the number of shares could he buy if he used his $3,000 and borrowed $3,000 on margin to buy Verizon stock will be

\(\rightarrow \dfrac{6000 - 60 }{47}\\\\\rightarrow \dfrac{5940}{47}\\\\\rightarrow 126.38\)

Assume Bob did use margin and paid a $60 total commission to buy his Verizon stock. Also, assume he paid another $60 to sell his stock and sold the stock for $54 a share. Then the profit will be

\(\rightarrow (126.38 \times 54 - 60) - (6000)\\\\\rightarrow (6824.68 - 60) - 6000\\\\\rightarrow 6764.68 - 6000\\\\\rightarrow \$764.68\)

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Answer:

(A) Independent

(B) Independent

(C) Independent

Step-by-step explanation:

Independent samples are those samples are drawn from two different population.

Dependent samples are sample collected from the same population but at different times. They are also known as matched pair samples.

(A)

The data collected is for the pair of ages of actresses and actors at the times that they won Oscars for Best Actress and Best Actor categories.

That is the data is in the form (x, y). Here x represents the age of actresses and y represents the age of actors.

Since the data is collected from two different population of male and female, the sample are independent.

(B)

The data collected is for the heights of elected presidents along with the heights of their main opponents.

Again the data is in the form (x, y). Here x represents the heights of elected presidents and y represents the heights of the main opponents.

The samples collected is independent.

(C)

The data collected is for the volumes of the contents in 36 cans of regular Coke and the volumes of the contents in 36 cans of regular Pepsi.

Again the data is in the form (x, y). Here x represents the volumes in the regular Coke cans and y represents the volumes in the regular Pepsi cans.

The samples collected is independent.

To estimate the probability of hitting the bullseye at least 100 times in 2000 throws, we can use the binomial distribution formula. The probability of hitting the bullseye in a single throw can be calculated by finding the ratio of the areas of the bullseye and the entire dartboard.

The area of the bullseye (radius 1) is A_bullseye = π * 1^2 = π square units. The area of the entire dartboard (radius 5) is A_dartboard = π * 5^2 = 25π square units. Therefore, the probability of hitting the bullseye in a single throw is p = A_bullseye / A_dartboard = π / 25π = 1/25.

Now, we use the binomial distribution formula: P(X >= 100) = 1 - P(X < 100), where X is the number of bullseye hits. To calculate P(X < 100), we need to sum the probabilities from X = 0 to X = 99.

P(X < 100) = Σ [C(n, k) * p^k * (1-p)^(n-k)], for k = 0 to 99

Where n = 2000 (total throws), k = number of bullseye hits, and C(n, k) is the binomial coefficient (combinations of n elements taken k at a time).

Computing the above sum and subtracting it from 1 gives us the probability of hitting the bullseye at least 100 times. Due to the large number of calculations, using software or an online calculator can be helpful to compute this probability.

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Step-by-step explanation:

Flip f(x) about the x-axis by multiplying it by -1

  - f(x)

  the squish it skinnier by multiplying it by 4

g(x) = - 4 f(x)   = -4 x^2

A triangle is shown with its exterior angles and the interior angles of the triangle are angles 2, 3, 5. The true statements are m∠3 + m∠4 + m∠5 = 180°, m∠5 + m∠6 = 180°, and m∠2 + m∠3 = m∠6. The correct answers are B, C, and E.

We know that the sum of the measures of the interior angles of a triangle is always 180 degrees. We can use this fact, along with the properties of exterior angles of a triangle, to determine which statements are always true regarding

m∠5 + m∠3 = m∠4 This statement is not always true. It is only true in this case because angle 4 is an exterior angle at vertex 3, which means that m∠4 = m∠3 + m∠5. Therefore, m∠5 + m∠3 = m∠3 + m∠5, which simplifies to m∠5 = m∠5. However, in general, this statement is not always true.

m∠3 + m∠4 + m∠5 = 180° This statement is always true, because the sum of the measures of the three exterior angles of a triangle is always 360 degrees. Therefore, m∠3 + m∠4 + m∠5 = 360°, which simplifies to m∠3 + m∠4 + m∠5 = 180°.

m∠5 + m∠6 = 180° This statement is always true, because the sum of an exterior angle and its adjacent interior angle is always 180 degrees. Therefore, m∠5 + m∠6 = m∠1 (because angle 1 is an exterior angle at vertex 2), and m∠1 + m∠2 + m∠3 = 180° (because the sum of the measures of the interior angles of a triangle is 180 degrees). Therefore, m∠5 + m∠6 = m∠2 + m∠3, which is equal to 180° (because m∠2 + m∠3 = m∠1, and m∠5 + m∠6 = m∠1).

m∠2 + m∠3 = m∠6 This statement is not always true. It is only true in this case because angle 6 is an exterior angle at vertex 5, which means that m∠6 = m∠5 + m∠3. Therefore, m∠2 + m∠3 = m∠2 + m∠5 + m∠3, which simplifies to m∠2 + m∠3 = m∠5 + m∠3. Then, by subtracting m∠3 from both sides, we get m∠2 = m∠5. However, in general, this statement is not always true.

m∠2 + m∠3 + m∠5 = 180°: This statement is always true, because the sum of the measures of the interior angles of a triangle is always 180 degrees. Therefore, m∠2 + m∠3 + m∠5 = 180°.

Based on the above analysis, the statements that are always true regarding the diagram are

m∠3 + m∠4 + m∠5 = 180°

m∠5 + m∠6 = 180°

m∠2 + m∠3 + m∠5 = 180°

Therefore, the correct options are B, C, and E.

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The angle measures for this problem are given as follows:

The sum of the measures of the internal angles of a triangle is of 180º.

The triangle in this problem is ABC, hence the measure of a is obtained as follows:

a + 68 + 50 = 180

a = 180 - (68 + 50)

a = 62º.

c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:

Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:

a + b = 180

62 + b = 180

b = 118º.

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Answer:

The answer is [B Josh, because when dividing by a power of 10, the decimal moves to the left]

Answer: the answer is B

Step-by-step explanation:

Answer:

5/37+30/37*i

Step-by-step explanation:

we multiply by 1+6i

so 5*(1+6i)/(1^1-36i^2)=(5+30i)/37=

5/37+30/37*i

Answer:

The slope is 3/1

The Y intercept is -2

The equation is y=3/1-2

Step-by-step explanation:

Desmos

The value of the required expression (x- 3 ) using the given equation -5(3x - 9) = -15 is equal to 1.

Let's solve for the value of "x" in the given equation:

-5(3x - 9) = -15

First, distribute the -5 on the left side of the equation:

-15x + 45 = -15

Now, subtract 45 from both sides to isolate the term with "x":

-15x = -60

Divide both sides by -15 to solve for "x":

x = 4

Now that we have the value of "x," we can find the value of (x - 3):

x - 3

= 4 - 3

= 1

Therefore, the value of (x - 3) is 1.

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Answer:

y=1.5

x=-3.5

Our answer is (-3.5,1.5)

Step-by-step explanation:

y-5=x

x=-2-y

y=?

--------

Using substitution,

y-5=-2-y

Solve:

2y-5=-2

2y=3

y=1.5

We can enter 1.5 into the equation:

1.5-5=x

-3.5=x

Here's a screenshot of the answer below:

The first and the second differences are shown in the table, the values of the second differences are constant, therefore, the relation is linear.

A straight-line link between two variables is referred to statistically as a linear relationship (or linear association).

The first and the second differences are:

x            y              first differences                second differences

4            18                      ----

5            28                      10                                        ------

6            35                      7                                        -3

7            39                      4                                        -3

8            40                      1                                         -3

9            38                      -2                                        -3

The values of second differences are constant, therefore, the relation is linear.

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Answer:

\(\sqrt{65}\), so [?] = [65]

Step-by-step explanation:

This is a classic Pythagorean Theorem problem :)

We are given a right triangle with 2 sides, so all we have to do is plug it into the formula a² + b² = c², or in simple terms: the square of one side plus the square of the other equals the square of the hypotenuse.

line h is going to bisect the diameter of the circle (8) so one side will be 4. We're given 9 as our hypotenuse, so:

(4)² + (h)² = (9)².

16 + h² = 81

h² = 81 - 16, h² = 65, h = \(\sqrt{65}\).

Answer:

FALSSOO

Step-by-step explanation:

lol srry I pretty sure its false I did teh math

Hope its right and it helps! c:

9514 1404 393

Answer:

Step-by-step explanation:

Descarte's rule of signs tells you there is 1 positive real root. The rational root theorem tells you any real roots are factors of ±14, so will be ±1, ±2, ±7, or ±14.

We note that the sum of all coefficients is negative, so +1 is not a root.

We note that the sum of coefficients of odd-degree terms is 1-19 = -18, and the sum of coefficients of even-dgree terms is -4-14 = -18. These are the same value, indicating that -1 is a root. The corresponding factor is (x +1).

The result of dividing the factor (x+1) from the polynomial using synthetic division is shown in the first attachment. The coefficients found mean the quotient is ...

  Q(x) = x^2 -5x -14

Factoring this using any method you like gives ...

  Q(x) = (x +2)(x -7)

This means the full set of zeros is {-2, -1, +7} and the factorization is ...

  P(x) = (x +2)(x +1)(x -7)

_____

Additional comment

My personal favorite method of finding the zeros is to let a graphing calculator show them to me. That result is shown in the second attachment.

According to the information given, the equation of the elipse is:

\(\frac{(x - 1)^2}{25} + \frac{(y - 6)^2}{21} = 1\)

The equation of an elipse of center \((x_0, y_0)\) is given by:

\(\frac{(x - x_0)^2}{a^2} + \frac{(y - y_0)^2}{b^2} = 1\)

In this problem, the center is (1,6), hence \(x_0 = 1, y_0 = 6\).

There is a vertex at (6,6), hence \(a = 6 - 1 = 5\).

The focus at (-1,6) means that \(c = 1 - (-1) = 2\), hence:

\(c^2 = a^2 - b^2\)

\(b^2 = a^2 - c^2\)

\(b^2 = 5^2 - 2^2\)

\(b^2 = 21\)

The equation is:

\(\frac{(x - 1)^2}{25} + \frac{(y - 6)^2}{21} = 1\)

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Answer: y = 9x2 + 18x – 6

Step-by-step explanation:Describe the graph of the function. y = 9x2 + 18x – 6

The graph is a parabola with axis of symmetry at x = –1.

The graph is a parabola with axis of symmetry at x = 6.

The graph is a parabola with axis of symmetry at x = 1.

The graph is a parabola with axis of symmetry at x = 9.

The total asset of Magic mirror is $515,708

Magic Mirror has $428,210 in capital and $87,498 in liabilities.

The capital is also know as the equity which means the company's net worth.

Liabilities are everything a business owes, now and in the future.

Assets are everything a business owns. Assets may be current or fixed assets

Therefore,

Total Assets - Total Liabilities = Capital

Where

Hence,

Total Assets  =  $87,498 + $428,210

Total Assets  = $515,708

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Answer:

Rs 300000

Step-by-step explanation:

Given that,

Length of a rectangular park, l = 150 m

Breadth, b = 100 m

We need to find the cost of fencing the park at the rate of 20 per metre. The area of a rectangle is given by :

A = lb

So,

\(A=150\times100\\\\A=15000\ m^2\)

Cost of fencing,

\(C=15000\times 20\\\\C=Rs\ 300000\)

So, the required cost is Rs 300000.

Answer:

90ft^3

Step-by-step explanation:

Corrected Question

a. Develop a probability distribution for the job satisfaction score of a senior executive.

b. Develop a probability distribution for the job satisfaction score of a middle manager.

c. What is the probability a senior executive will report a job satisfaction score of 4 or 5?

d. What is the probability a middle manager is very satisfied?

Answer:

(c)0.83

(d)0.28

Step-by-step explanation:

The percent frequency distributions of job satisfaction scores os give below:

\(\left|\begin{array}{c|c|c}$Job Satisfaction Score&$IS Senior Executives(\%)&$IS Middle Managers(\%)\\1&5&4\\2&9&10\\3&3&12\\4&42&46\\5&41&28\end{array}\right|\)

(a)Probability distribution for the job satisfaction score of a senior executive.

\(\left|\begin{array}{c|c}$Job Satisfaction Score&$Relative Frequency (f_1(x))\\------&------\\1&0.05\\2&0.09\\3&0.03\\4&0.42\\5&0.41\end{array}\right|\)

(b)Probability distribution for the job satisfaction score of a middle manager.

\(\left|\begin{array}{c|c}$Job Satisfaction Score&$Relative Frequency (f_2(x))\\1&0.04\\2&0.10\\3&0.12\\4&0.46\\5&0.28\end{array}\right|\)

(c)Probability a senior executive will report a job satisfaction score of 4 or 5

P(a senior executive will report a job satisfaction score of 4 or 5)

\(=f_1(4)+f_1(5)\\=0.42+0.41\\=0.83\)

(d)Probability a middle manager is very satisfied

The probability a middle manager is very satisfied

\(=f_2(5)\\=0.28\)

Answer:

ab²

Step-by-step explanation:

Step 1: Write out the expression

\(\frac{a^5b^6}{a^4b^4}\)

Step 2: Cross out like terms

The a's cancel out, leaving a in the numerator

The b's cancel out, leaving b² in the numerator

Step 3: Finalize

ab²

And you have your final answer!

Answer:

the answer is ab^2

Step-by-step explanation:

hope this helps