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Answer:

y - 1.015x - 21

Step-by-step explanation:

Given that:

Let worth of stock = x

Broker fee = 1.5% of x = 0.015x

Total cost incurred to purchase stock = x + 0.015x = 1.015x

Worth of stock after 2 years = y

Broker fee = $21 per trade :

Amount Realized from sale = y - $21

Net proceed = Amount Realized from sale - cost incurred to purchase

= (y - 21) - (1.015x)

= y - 21 - 1.015x

= y - 1.015x - 21

Answer:

6 flowers.

Step-by-step explanation:

Divide 88/14. Remove the decimal.

Answer:

You can put 6.3

Step-by-step explanation:

I'm not sure about it, sorry about that

The direction of the difference between the 2 measurements.

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Answer:

La altura del prisma es 2,4 m.

Step-by-step explanation:

Para calcular el volumen de un prisma rectangular, es necesario multiplicar sus tres dimensiones, esto es, longitud*ancho*altura. El volumen se expresa en unidades cúbicas.

Entonces:

volumen= longitud*ancho*altura

En este caso, los datos conocidos son:

Reemplazando:

24 m³= 2,5 m* 4 m* altura

Resolviendo:

\(altura=\frac{24 m^{3} }{2,5 m*4m}\)

\(altura=\frac{24 m^{3} }{10 m^{2} }\)

altura= 2,4 m

La altura del prisma es 2,4 m.

The  pattern that fills more of the square with circles is option B because The one on the right with 16 smaller circles

To achieve the highest possible occupancy of the square, the use of smaller circles is one that enables greater incorporation of circles in the given square area.

Note that since there are more small circles in option B, this would lead to a greater area being covered within the square compared to the other ones. The reason for this is that the square offers greater space efficiency for compactly arranging of smaller circles, resulting in full surface coverage.

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See text below

Which pattern fills more of the square with circles?

The one on the left with one big circle

The one on the right with 16 smaller circles

Both fill up the square equally

Answer:

1. 71°

Step-by-step explanation:

SohCahToa

use sin

sin^-1(51/54)

=70.81186355

=71°

The value of the integral is \(-\frac{7e^{6x}\cos \left(7x\right)}{85}+\frac{6e^{6x}\sin \left(7x\right)}{85}+C\)

Given is an integral we need to solve it,

\(\int e^{6 \theta} sin(7\theta) d\theta\)

So,

Applying the integration by parts,

\(=-\frac{1}{7}e^{6x}\cos \left(7x\right)-\int \:-\frac{6}{7}e^{6x}\cos \left(7x\right)dx\)

\(=-\frac{1}{7}e^{6x}\cos \left(7x\right)-\left(-\frac{6}{7}\cdot \int \:e^{6x}\cos \left(7x\right)dx\right)\)

\(=-\frac{1}{7}e^{6x}\cos \left(7x\right)-\left(-\frac{6}{7}\left(\frac{1}{7}e^{6x}\sin \left(7x\right)-\int \frac{6}{7}e^{6x}\sin \left(7x\right)dx\right)\right)\)

\(=-\frac{1}{7}e^{6x}\cos \left(7x\right)-\left(-\frac{6}{7}\left(\frac{1}{7}e^{6x}\sin \left(7x\right)-\frac{6}{7}\cdot \int \:e^{6x}\sin \left(7x\right)dx\right)\right)\)

Therefore,

\(\int \:e^{6x}\sin \left(7x\right)dx=-\frac{1}{7}e^{6x}\cos \left(7x\right)-\left(-\frac{6}{7}\left(\frac{1}{7}e^{6x}\sin \left(7x\right)-\frac{6}{7}\cdot \int \:e^{6x}\sin \left(7x\right)dx\right)\right)\)

\(=-\frac{7e^{6x}\cos \left(7x\right)}{85}+\frac{6e^{6x}\sin \left(7x\right)}{85}\)

\(=-\frac{7e^{6x}\cos \left(7x\right)}{85}+\frac{6e^{6x}\sin \left(7x\right)}{85}+C\)

Hence the value of the integral is \(-\frac{7e^{6x}\cos \left(7x\right)}{85}+\frac{6e^{6x}\sin \left(7x\right)}{85}+C\)

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Answer:

angle E

Step-by-step explanation:

Have 109% in geometry

According to the algorithm, the appropriate response, in this case, is (D) test statistic = -0.78, p-value = 0.2192.

A p-value is a statistical calculation that is used to compare a hypothesis' validity to actual facts.

In the event that the null hypothesis is true, a p-value determines the probability of experiencing the results that were observed.

With a falling p-value, the found difference becomes statistically more significant.

P > 0.05 indicates that the null hypothesis is likely to be true. One less than the P value represents the probability that the alternative hypothesis is true.

The test hypothesis must be rejected if the test result is inaccurate or statistically significant (P 0.05).

No effect was detected if the P value was higher than 0.05.

So, H0 = 290 feet

H1 < 290 feet

Or, H0: m = 290 feet vs H1: m < 290

We know that, n = sample size = 82

X_bar =  284.9

s = 59.3

The test statistic is: where s is a sample sd

t = √n(x-m)/s≈tₙ₋₁ = √8s(284.9-290)/59.3 = -0.78

The p-value would then be:

Pr(t ≤ critical value | H₀)

=0.2188

≃0.219

Therefore, according to the algorithm, the appropriate response, in this case, is (D) test statistic = -0.78, p-value = 0.2192.

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Complete question:

The heights of 82 roller coasters have a mean of 284.9 feet and a standard deviation of 59.3 feet. Find the standardized test statistics and the corresponding p-value when the claim is that roller coasters are less than 290 feet tall.

Group of answer choices:

A. test statistic = -0.78, p-value = 0.4361

B. test statistic = 0.78, p-value = 0.4361

C. test statistic = 0.78, p-value = 0.2192

D. test statistic = -0.78, p-value = 0.2192

Answer:

4 dozen oranges cost $4.

Step-by-step explanation:

1 dozen = 12 units

4 dozen = 12 x 4 = 48 units

12 oranges cost $1. 48 units will cost $4 because 48 is 4 dozen.

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Answer:
3:14
for every 3 women, there is 14 men

Step-by-step explanation:

Answer:

Step-by-step explanation:

We assume you want to evaluate the equation ...

  T = 32 +1.8t

for t = -8 2/3 and t = 8 2/3

The evaluation involves addition and multiplication, both of which are closed for all real numbers, which includes all rational numbers. The equation works for any rational numbers.

Your examples:

  T = 32 +1.8(-8 2/3) = 32 -15.6 = 16.4 . . . . the equation works

  T = 32 +1.8(8 2/3) = 32 +15.6 = 47.6 . . . . the equation works

_____

Additional comment

Some calculators play nicely with decimals and mixed numbers.

The product 1.8(8 2/3) can be found as ...

  (1.8)(8 2/3) = 1.8(26/3) = 0.6(26) = 15.6

Answer:

108

Step-by-step explanation:

You start by finding the area of the trapezoid, which is ((3+5)/2) 3 = 12, then you multiply 12 by 9 which is 12*9 = 108

Answer:

slope = -6

Step-by-step explanation:

What is the slope of the line that passes through the points (7, -7) and (8, -13)?

given points:  (7, -7) and (8, -13)

slope = change in y / change in x

slope = (-7 - (-13)) / (7 - 8)

slope = (-7 + 13) / (7 - 8)

slope = 6 / -1

slope = -6

Answer:

200,000 x 0.05 = 10,000

200,000 + 10,000 = 210,000

This will be 2015 (210,000)

210,000 x 0.05 = 10,500

210,000 + 10,500 = 220,500

2016

220,500 x 0.05 = 11250

220,500 + 11,250 = 231,750

231,750 should be the value

Hope this helps

Step-by-step explanation:

The converse of the conditional is: If a polygon is either a square or a rectangle, then it has four right angles.

This is the converse of the original conditional statement, which means we have switched the hypothesis and the conclusion of the statement. The converse of a conditional statement may or may not be true, and in this case, the converse is actually true. If a polygon is a square or a rectangle, then it is guaranteed to have four right angles. This is because the definition of a rectangle and a square includes the property of having four right angles. However, there are other polygons that may have four right angles as well, such as a parallelogram or a trapezoid, but these are not necessarily squares or rectangles.

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a) The sample space for four flights selected at random, with arrival status "O" for on-time and "L" for late, is given as {OOOO, OOOL, OOLO, OOLL, OLOO,  OLOL, OLLO, OLLL, LOOO, LOOL, LLOO, LLOL, LLLO, LLLL}.

b) The probability that a randomly selected flight is from Airline A and on-time, denoted as P(A), is calculated by multiplying the probability of being on-time for Airline A (75/100) with the proportion of flights operated by Airline A out of the total (320/1000), resulting in P(A) = 24/100.

c) The probability that a randomly selected flight is either from Airline C or on-time, denoted as P(C), is obtained by dividing the sum of flights on-time (700) and flights operated by Airline C (240) by the total number of flights (1000), giving P(C) = 94/100.

d) The probability that a flight is from Airline B given that it is late, denoted as P(B | L), is computed by multiplying the proportion of late flights (300/1000) with the probability of being from Airline B (35/100), resulting in P(B | L) = 77/300.

e) The probability that a flight is late given that it is from Airline A, denoted as P(L | A), is calculated by multiplying the proportion of flights on-time for Airline A (25/100) with the proportion of flights operated by Airline A (320/1000), resulting in P(L and A) = 8/100. Therefore, P(L | A) = 1 - P(A | L) = 11/15.

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Answer:

The correct answer is

y = 2 ÷ 3x + 5

where,

x = independent variable

y = dependent variable

Step-by-step explanation:

According to the given scenario, the equation of the line, independent and the dependent variable is as follows:

y = mx + b

Since the head is started with 5 meters and the pedaling at 2 meters for every 3 seconds i.e. 2 ÷ 3

So the equation line is

y = 2 ÷ 3x + 5

where,

x = independent variable

y = dependent variable

When rotating the point D (4, −2) 180° around the origin, the coordinates of the resulting point, D' is (-4, 2).

Rotation of a point that involves 180 degree rotation about a another point is similar to a reflection over the "another point"

Hence we use the method of determining the coordinates of reflection of images to calculate the image of the rotation for this particular situation.

Calculation of rotation coordinates is done as follows

say preimage X(a, b) = image X' (-a, -b)

Hence point D (4, -2) = point D' (-4, 2)

changing of the signs of both coordinates when is about the origin.

The coordinate that will change sign will vary depending on the points or coordinate that is reflected over

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Answer:

D

Step-by-step explanation:

for 20 pounds of grass seed, we need 356 pounds of fertilizer

20 pounds of grass seed : 356 pounds of fertilizer

divide both sides by 20 to get 1 pound of grass seed on one side, as we want to figure out the corresponding amount of fertilizer for 1 pound of grass seed

20 pounds of grass seed/20 : 356 pounds of fertilizer/20

1 pound of grass seed: 17.8 pounds of fertilizer

By examining the dotplot, you can see the frequency and distribution of the miles run by Roger. For example, there are 4 instances where Roger ran 0.5 miles, 3 instances where he ran 4 miles, and so on.

The dotplot that displays the data correctly is the one titled "Roger's Training" with a number line labeled "Miles Run" that goes from 0.5 to 5 in increments of 0.5. The dotplot should have the following data points:
0.5, 4
1, 1
1.5, 2
2, 2
2.5, 3
3, 2
3.5, 0
4, 3
4.5, 2
5, 1
This dotplot accurately represents the number of miles Roger ran each day over a 20-day period. Each dot represents a data point from the given list of miles run. The number line indicates the range of miles run, starting from 0.5 and ending at 5, with increments of 0.5.
By examining the dotplot, you can see the frequency and distribution of the miles run by Roger. For example, there are 4 instances where Roger ran 0.5 miles, 3 instances where he ran 4 miles, and so on. This visual representation allows you to easily interpret the data and observe any patterns or trends in Roger's training.

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Answer:

options 3 and 4 are correct

Step-by-step explanation:

And form the remainder of the problem, you isolate x by just multiplying by the negative reciprocal, which is -3/2, or just dividing by the number in front off x, which is -2/3, which makes statements three and four true. so this makes this three and four options

I hope this helps you :)

-KeairaDickson

Two options namely " After adding 4 to both sides, the equation is negative two-thirds negative 2" and the statement " the equation can be solved for x using exactly one more step by multiplying  both sides by Negative three-halves."

A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line. This is the reason why it is named as a 'linear equation'.

Given here  -4-2/3x +4=-6+4

                 ⇒-2/3x = -2

                 ⇒ -2/3x ×3/2 = -2 ×3/2

                 ⇒ x = 3

Hence the final answer is 3.

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