Ron purchases $32,000 worth of stock on his brokers advice and pays his broker a 1.25% broker fee. How much did he pay his broker! Show work please !!

Answer:

A. y = 2x + 4

Step-by-step explanation:

y = mx + b

Slope (m) = 2/1 (up 2, right 1)

Y-intercept (b) = 4

Answer:

my best guess even though no answers i would say bout 12

Step-by-step explanation:

The maximum amount of water that the bottle can hold is approximately 263.8938 cubic inches.

A cone is a three-dimensional geometric form with a flat base and a smooth, tapering apex or vertex. A cone is made up of a collection of line segments, half-lines, or lines that link the base's points to the apex, which is a common point on a plane that does not include the base.

To find the maximum amount of water that the bottle can hold, we need to calculate the volumes of the cylinder and the cone and add them together.

The volume of the cylinder:

V_cylinder = πr²h

where r is the radius (half of the diameter) of the base, and h is the height of the cylinder.

The radius of the cylinder base is 6/2 = 3 inches, and the height of the cylinder is 8.5 inches, so:

V_cylinder = π(3)²(8.5)

V_cylinder ≈ 226.1947 cubic inches

Volume of the cone:

V_cone = (1/3)πr²h

where r is the radius of the base of the cone, and h is the height of the cone.

The radius of the base of the cone is also 3 inches, and the height of the cone can be found by subtracting the height of the cylinder from the total height of the bottle:

h_cone = total height - height of cylinder = 12.5 - 8.5 = 4 inches

So:

V_cone = (1/3)π(3)²(4)

V_cone ≈ 37.6991 cubic inches

Total volume:

V_total = V_cylinder + V_cone

V_total ≈ 226.1947 + 37.6991

V_total ≈ 263.8938 cubic inches

Therefore, the maximum amount of water that the bottle can hold is approximately 263.8938 cubic inches.

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Answer:

63 units

Step-by-step explanation:

If the perimeter of 1/3 of the rectangle is 21, multiply 21 by 3 to find the perimeter of the entire rectangle.

21 x 3 = 63

Based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.

To solve the problem using the determinant method (Cramer's rule), we need to set up a system of equations based on the given information and then solve for the unknowns, which represent the number of 0.5 litre bottles and 0.7 litre bottles.

Let's denote the number of 0.5 litre bottles as x and the number of 0.7 litre bottles as y.

From the given information, we can set up the following equations:

Equation 1: 0.5x + 0.7y = 16.5 (total volume of moonshine)

Equation 2: 8x + 10y = 246 (total earnings from selling moonshine)

We now have a system of linear equations. To solve it using Cramer's rule, we'll find the determinants of various matrices.

Let's calculate the determinants:

D = determinant of the coefficient matrix

Dx = determinant of the matrix obtained by replacing the x column with the constants

Dy = determinant of the matrix obtained by replacing the y column with the constants

Using Cramer's rule, we can find the values of x and y:

x = Dx / D

y = Dy / D

Now, let's calculate the determinants:

D = (0.5)(10) - (0.7)(8) = -1.6

Dx = (16.5)(10) - (0.7)(246) = 150

Dy = (0.5)(246) - (16.5)(8) = -18

Finally, we can calculate the values of x and y:

x = Dx / D = 150 / (-1.6) = -93.75

y = Dy / D = -18 / (-1.6) = 11.25

However, it doesn't make sense to have negative quantities of bottles. So, we can round the values of x and y to the nearest whole number:

x ≈ -94 (rounded to -94)

y ≈ 11 (rounded to 11)

Therefore, based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.

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Question

Matti is making moonshine in the woods behind his house. He’s selling the moonshine in two different sized bottles: 0.5 litres and 0.7 litres. The price he asks for a 0.5 litre bottle is 8€, for a 0.7 litre bottle 10€. The last patch of moonshine was 16.5 litres, all of which Matti sold. By doing that, he earned 246 euros. How many 0.5 litre bottles and how many 0.7 litre bottles were there? Solve the problem by using the determinant method (a.k.a. Cramer’s rule).

Answer: (670 -110)/8

Step-by-step explanation:

Months: 110 the first month

*Now since she paid 670 in total she subtracts the 110 from the first month which is 560, and now there is an event amound paid in the other months so you divide 560 by 8 since 8 months are left over resulting in $70 each month.

January,

February,

March,

April,

May,

June,

July,

August,

From the truth table, we can see that there are assignments of truth values for p and q that make the entire proposition true (e.g., when p is true and q is false or when p is false and q is true). Therefore, proposition (a) is satisfiable.

To determine whether a compound proposition is satisfiable, we need to check if there exists an assignment of truth values to the individual variables that makes the entire proposition true. If such an assignment exists, the proposition is satisfiable; otherwise, it is unsatisfiable.

a) (p ∨ ¬q) ∧ (¬p ∨ q) ∧ (¬p ∨ ¬q)

Let's analyze the truth table for this proposition:

p | q | (p ∨ ¬q) | (¬p ∨ q) | (¬p ∨ ¬q) | (p ∨ ¬q) ∧ (¬p ∨ q) ∧ (¬p ∨ ¬q)

T | T | T | T | F | F

T | F | T | T | T | T

F | T | F | T | F | F

F | F | T | T | T | T

From the truth table, we can see that there are assignments of truth values for p and q that make the entire proposition true (e.g., when p is true and q is false or when p is false and q is true). Therefore, proposition (a) is satisfiable.

b) (p → q) ∧ (p → ¬q) ∧ (¬p → q) ∧ (¬p → ¬q)

Let's analyze the truth table for this proposition:

p | q | (p → q) | (p → ¬q) | (¬p → q) | (¬p → ¬q) | (p → q) ∧ (p → ¬q) ∧ (¬p → q) ∧ (¬p → ¬q)

T | T | T | F | T | T | F

T | F | F | T | T | F | F

F | T | T | T | F | F | F

F | F | T | T | T | T | T

From the truth table, we can see that there is no assignment of truth values for p and q that makes the entire proposition true. In every case, at least one of the conjuncts is false. Therefore, proposition (b) is unsatisfiable.

c) (p ↔ q) ∧ (¬p ↔ q)

Let's analyze the truth table for this proposition:

p | q | (p ↔ q) | (¬p ↔ q) | (p ↔ q) ∧ (¬p ↔ q)

T | T | T | F | F

T | F | F | T | F

F | T | F | T | F

F | F | T | F | F

From the truth table, we can see that there is no assignment of truth values for p and q that makes the entire proposition true. In every case, the conjunction of (p ↔ q) and (¬p ↔ q) is false. Therefore, proposition (c) is unsatisfiable.

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the probability that the person has Given:

P(Brown Hair) = 40% = 0.4

P(Brown Eyes) = 25% = 0.25

P(Brown Hair and Brown Eyes) = 15% = 0.15

a. Probability that a person with brown hair also has brown eyes:

We want to find P(Brown Eyes | Brown Hair), the probability that a person has brown eyes given that they have brown hair.

Using the formula for conditional probability:

P(Brown Eyes | Brown Hair) = P(Brown Hair and Brown Eyes) / P(Brown Hair)

P(Brown Eyes | Brown Hair) = 0.15 / 0.4 = 0.375 = 37.5%

Therefore, the probability that a person with brown hair also has brown eyes is 37.5%.

b. Probability that a person with brown eyes does not have brown hair:

We want to find P(Not Brown Hair | Brown Eyes), the probability that a person does not have brown hair given that they have brown eyes.

Using the formula for conditional probability:

P(Not Brown Hair | Brown Eyes) = P(Brown Eyes and Not Brown Hair) / P(Brown Eyes)

P(Not Brown Hair | Brown Eyes) = (P(Brown Eyes) - P(Brown Hair and Brown Eyes)) / P(Brown Eyes)

P(Not Brown Hair | Brown Eyes) = (0.25 - 0.15) / 0.25 = 0.10 = 10%

Therefore, the probability that a person with brown eyes does not have brown hair is 10%.

c. Probability that the person has neither brown eyes nor brown hair:

We want to find the probability that a person has neither brown eyes nor brown hair.

P(Neither) = 1 - P(Brown Hair) - P(Brown Eyes) + P(Brown Hair and Brown Eyes)

P(Neither) = 1 - 0.4 - 0.25 + 0.15 = 0.5 = 50%

Therefore, the probability that the person has neither brown eyes nor brown hair is 50%. brown eyes nor brown hair is 50%.

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Answer: 5

Step-by-step explanation:

To solve the exercise, we can use a rule of three, like this:

Thus, she should use 14 cups of water with 6 scoops of lemonade mix.

1.5·10⁸ kilometers

As a result, the Earth Sun distance is 150 million kilometers. To use scientific notation, pick a value between 1 and 10, then multiply it by 10ˣ.

So the number between 1 and 10 in 150,000,000 is 1.5, with 8 decimal points.

As a result, the solution is 1.5·10⁸

The benefits of Earth's prime placement in the solar system are numerous. We are just far enough away from the Sun for life to thrive.

Venus is excessively hot. Mars is quite chilly. Scientists refer to our region of space as the "Goldilocks Zone" because it looks to be ideal for life.

As previously stated, Earth's average distance from the Sun is around 93 million miles (150 million kilometers). That's one AU.

On this hypothetical scale, these so-called "linebackers" resemble minuscule specks rather than the massive linebackers of the NFL.

If all of the known asteroids in our solar system were combined, their total mass would be less than 10% that of Earth's moon.

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Answer: A function is a relation between domain and range such that each value in the domain corresponds to only one value in the range. Relations that are not functions violate this definition. They feature at least one value in the domain that corresponds to two or more values in the range.

Step-by-step explanation:

Answer:

Huh????

Step-by-step explanation:

The hash of the given message is 135.

In computing, a message digest is a fixed-sized string of bytes that represents the original data's cryptographic hash. This hash is used to authenticate a message, guaranteeing the integrity of the data in the message.

Here, it is given the message m = 23  

The formula to calculate hash is him) - (m*7;2 MOD 7793.

So, let's calculate the hash : him) - (m*7;2 MOD 7793(him) - (23*7;2 MOD 7793

⇒ (8*23) - (49 MOD 7793)

⇒ 184 - 49= 135.

So, the hash of the given message is 135.

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Answer:

17

Step-by-step explanation:

Therefore, the area between the large loop and the small loop of the curve r = 2 + 4cos(3θ) is 70π/3.

To find the area between the large loop and the small loop of the curve, we need to find the points of intersection of the curve with itself.

Setting the equation of the curve equal to itself, we have:

2 + 4cos(3θ) = 2 + 4cos(3(θ + π))

Simplifying and solving for θ, we get:

cos(3θ) = -cos(3θ + 3π)

cos(3θ) + cos(3θ + 3π) = 0

Using the sum to product formula, we get:

2cos(3θ + 3π/2)cos(3π/2) = 0

cos(3θ + 3π/2) = 0

3θ + 3π/2 = π/2, 3π/2, 5π/2, 7π/2, ...

Solving for θ, we get:

θ = -π/6, -π/18, π/6, π/2, 5π/6, 7π/6, 3π/2, 11π/6

We can see that there are two small loops between θ = -π/6 and π/6, and two large loops between θ = π/6 and π/2, and between θ = 5π/6 and 7π/6.

To find the area between the large loop and the small loop, we need to integrate the area between the curve and the x-axis from θ = -π/6 to π/6, and subtract the area between the curve and the x-axis from θ = π/6 to π/2, and from θ = 5π/6 to 7π/6.

Using the formula for the area enclosed by a polar curve, we have:

A = 1/2 ∫[a,b] (r(θ))^2 dθ

where a and b are the angles of intersection.

For the small loops, we have:

A1 = 1/2 ∫[-π/6,π/6] (2 + 4cos(3θ))^2 dθ

Using trigonometric identities, we can simplify this to:

A1 = 1/2 ∫[-π/6,π/6] 20 + 16cos(6θ) + 8cos(3θ) dθ

Evaluating the integral, we get:

A1 = 10π/3

For the large loops, we have:

A2 = 1/2 (∫[π/6,π/2] (2 + 4cos(3θ))^2 dθ + ∫[5π/6,7π/6] (2 + 4cos(3θ))^2 dθ)

Using the same trigonometric identities, we can simplify this to:

A2 = 1/2 (∫[π/6,π/2] 20 + 16cos(6θ) + 8cos(3θ) dθ + ∫[5π/6,7π/6] 20 + 16cos(6θ) + 8cos(3θ) dθ)

Evaluating the integrals, we get:

A2 = 80π/3

Therefore, the area between the large loop and the small loop of the curve r = 2 + 4cos(3θ) is:

A = A2 - A1 = (80π/3) - (10π/3) = 70π/3

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The answer to the trigonometry question in the picture attached is:

   = cos θ / [sin θ * (1 - sin θ)] * (1 + sin θ)

Simplify 1-csc θ as follows:

1 - csc θ = (1 - csc θ)(1 + csc θ) / (1 + csc θ)

= 1 - csc^2 θ / (1 + csc θ)

= 1 - 1/sin^2 θ / (1 + 1/sin θ)

= 1 - sin^2 θ / (sin θ + 1)

= (sin θ - sin^2 θ) / (sin θ + 1)

Simplify 1+csc θ as follows:

1 + csc θ = (1 + csc θ)(1 - csc θ) / (1 - csc θ)

= 1 - csc^2 θ / (1 - csc θ)

= 1 - 1/sin^2 θ / (1 - 1/sin θ)

= 1 - sin^2 θ / (sin θ - 1)

= (sin θ + sin^2 θ) / (sin θ - 1)

Substitute the above simplifications in the expression cos θ/(1-csc θ) * 1+csc θ/(1+ csc θ) to get:

cos θ / (sin θ - sin^2 θ) * (sin θ + sin^2 θ) / (sin θ + 1)

Simplify the expression by canceling out the sin^2 θ terms:

cos θ / (sin θ - sin^2 θ) * (sin θ + sin^2 θ) / (sin θ + 1)

= cos θ / (sin θ - sin^2 θ) * (1 + sin θ) / (sin θ + 1)

Simplify further by factoring out common terms in the numerator and denominator:

cos θ / (sin θ - sin^2 θ) * (1 + sin θ) / (sin θ + 1)

= cos θ * (1 + sin θ) / [(sin θ - sin^2 θ) * (sin θ + 1)]

Finally, simplify the expression by factoring out a sin θ term from the denominator:

cos θ * (1 + sin θ) / [(sin θ - sin^2 θ) * (sin θ + 1)]

= cos θ * (1 + sin θ) / [sin θ * (1 - sin θ) * (sin θ + 1)]

= cos θ / [sin θ * (1 - sin θ)] * (1 + sin θ)

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Answer:  

dominio:{5, 3, -5}

rango:{3, -4}

Step-by-step explanation:

Answer:

B) 4,608.

Step-by-step explanation:

A square pyramid with the maximum volume that can fit inside a cube has a same base as a cube ( 24 cm x 24 cm ) . The height of the pyramid is also same as a side length of a cube ( h = 24 cm ).

     The volume of the pyramid:

     V = 1/3 · 24² · 24 = 1/3 · 576 · 24 = 4,608 cm³

     Answer:

     The maximum volume of the pyramid is 4,608 cm³. 

Answer:

4,608

Step-by-step explanation:

The base of the pyramid is the same base as the cube, so base of pyramid is 24*24=576

The heights of the pyramid and cube would also be the same.

The base times the height is 576*24=13,824

Finally, to find the volume of the pyramid, you must multiply 13,824*1/3=4,608

Using the formula of area of a circle, about 226.08in² has been eaten

The diameter of the pizza is given as 24 inches. To calculate the area of the entire pizza, we need to use the formula for the area of a circle:

Area = π * r²

where π is approximately 3.14 and r is the radius of the circle.

Given that the diameter is 24 inches, the radius (r) would be half of the diameter, which is 12 inches.

Let's calculate the area of the entire pizza first:

Area = 3.14 * 12²

Area = 3.14 * 144

Area ≈ 452.16 square inches

Now, if half of the pizza is consumed, we need to calculate the area of half of the pizza. To do that, we divide the area of the entire pizza by 2:

Area of half of the pizza = 452.16 / 2

Area of half of the pizza ≈ 226.08 square inches

Therefore, if half of the pizza is consumed, approximately 226.08 square inches of pizza would be eaten.

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To fulfill the request, two tasks need to be completed. First, a classified statement of marks must be prepared, displaying the marks in the correct order and format. Second, the required closing entries should be prepared, including all necessary calculations.

1) To prepare a classified statement of marks, the marks should be organized in the correct order, such as by subject or category. The statement should clearly display the marks achieved by each student, enabling easy comparison and analysis.

2) Closing entries are necessary to transfer temporary account balances to permanent accounts at the end of an accounting period. These entries help ensure that the temporary accounts are reset to zero for the next accounting period. The required closing entries typically involve transferring revenues, expenses, and dividends to the appropriate accounts. Calculations may be required to determine the closing entries, such as calculating net income or determining the dividend amount. These calculations will depend on the specific financial data and accounts involved in the accounting system being used.

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Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

Answer:

x = 14.4

Step-by-step explanation:

Similar means that the figures are proportional to each other. Because of this, we can form a problem. \(\frac{9}{5}\) (the short side lengths) = \(\frac{x}{8}\) (the long side lengths). Now we can solve this by cross-multiplying. If we multiply 9 · 8 we get 72, and 5 · x is 5x. 72 = 5x. Now divide both sides by 5. 72 ÷ 5 = 14.4. Therefore, x should be equal to 14.4. Does this make sense?

Answer:

y =  -5/6x - 7

Step-by-step explanation:

The solution of the equation \(e^{6x}\) - 11 = 104 is x = 0.79

The given equation is

\(e^{6x}\) - 11 = 104

The equation is the mathematical statement that shows the relationship between two expression. The equation is consist of different variable, numbers and mathematical operators with the equal sign. The mathematical operators are addition, subtraction, division and multiplication. The inequality will not be the part of equation

The given equation is

\(e^{6x}\) - 11 = 104

\(e^{6x}\)  = 104 + 11

Add the terms

\(e^{6x}\) = 115

6x = ln (115)

x  = ln (115) / 6

x = 0.79

Hence, the solution of the equation \(e^{6x}\) - 11 = 104 is x = 0.79

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From the graph, the athlete spent 2 hours biking (from hour 1 to hour 3)

And, the athlete spent 3 hours running (from hour 3 to hour 6)

Then, the athlete spent equal amounts of time biking and running is false

Answer:

The answer is 15

Step-by-step explanation:

if you double 15 it becomes 30, and if you add 15 to 30 that becomes 45.

Thus, 15 is the answer.

Step-by-step explanation:

Let's find the slope by using this formula:

\(\frac{y2}{x2} -\frac{y1}{x1} =m\)

We'll use these 2 points:

(4, 6)

(8, 12)

Substitute the points into the formula's format:

\(\frac{12}{8} -\frac{6}{4} =m\)

Subtract:

\(\frac{6}{4} =\frac{3}{2} =m\)

The slope means that;

For every 2 (x), y increases by 3.

Other points that can lie on the given line:

\(\frac{4+2}{6+3} =\frac{6}{9} \: (6,9)\)

\(\frac{8+2}{12+3} =\frac{10}{15} \: (10,15)\)

\(\frac{10+2}{15+3} =\frac{12}{18} \: (12,18)\)

\(\frac{12+2}{18+3} =\frac{14}{21} \: (14,21)\)

\(\frac{16+2}{24+3} =\frac{18}{27} \: (18,27)\)

\(\frac{18+2}{27+3} =\frac{20}{30} \: (20,30)\)

The time that elapses from the start of the green indication to the end of the red indication for the same phase of a signalized intersection is called the phase length, while any part of the cycle length during which signal indications do not change is called an interval.

There are four kinds of intervals that constitute a complete traffic signal cycle: phase interval, clearance interval, all-red interval, and pedestrian interval.

The duration of each signal interval is referred to as its time length.

The effective capacity of signalized intersections, according to HCM 2000, is a function of cycle length. Long cycle lengths (more than 120 seconds) result in reduced capacity.

As a result, cycle length should be kept as short as feasible in order to maximize capacity.

Short cycle lengths, on the other hand, reduce the capacity of a signalized intersection since there is less time for each phase to service traffic.

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That's correct. In general, when it comes to trees, a younger tree will typically have a smaller circumference compared to an older tree. As trees grow and mature.

The circumference of a tree is the measurement around the trunk, typically taken at breast height (approximately 1.3 to 1.5 meters above the ground). Younger trees that have not yet had the opportunity.  

to grow for an extended period of time will have smaller trunk diameters and, consequently, smaller circumferences, It's important to note that the rate of growth and the specific size of a tree can vary depending on the species, environmental conditions, and other factors.

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