What is the rate of return when 25 shares of Stock
A, purchased for $30/share, are sold for $825? The
commission on the sale is $6.
Rate of Return = [?] %
Give your answer as a percent rounded to the
nearest tenth.

Answer:

No, because 2(21) + 13 is not equal to 43.

The Dolphins scored 10 points.

Step-by-step explanation:

A = 13 + 2D

43 = 13 + A + D

43 = 13 + 3D

43 - 13 = 30

30 = 3D

30/3 = 10

D = 10

A = 13 + 2(10)

A = 33

D + A = 43

33 + 10 = 43

Therefore, the Atlanta Falcons scored 33 points which is 13 points more than twice what the Dolphins scored.

d= 17/2 is the solution of the given equation 43-3 d=d+9.

According to the given question.

We have a linear equation in one variable 43 -3d = d + 9.

Since, we have to solve the above linear equation in one varible 43 -3d = d + 9, which means we have to solve the above equation for d.

As we know that, the linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.

Thereofore, the solution of the given linear equation in one variable 43 -3d = d + 9 is given by

43 -3d = d + 9

⇒ 43 - 9 -3d = d          (subtracting 9 from both the sides)

⇒ 34 = d + 3d      (adding 3d both the sides)

⇒ 34 = 4d

⇒ d = 34/4

⇒ d = 17/2

Now, we will check whether d = 17/2 is the solution of the given equation or not.

Thereofore,

LHS

= 43 - 3(17/2)

= 43 - 51/2

= 86 - 51/2

= 35/2

RHS

= 17/2 + 9

= 17 + 18/2

=35/2

Here, LHS = RHS for d = 17/2

Hence, d= 17/2 is the solution of the given equation 43-3 d=d+9.

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If a central angle and an inscribed angle intersect the same arc, the central angle is twice the inscribed angle and half the central angle.

According to the inscribed angle theorem, an angle inscribed in a circle is half the central angle 2 that subtends the same arc on the circle.

The central angle has the same length as the intercepted arc. As can be seen, if a central angle and an inscribed angle intersect the same arc, the central angle is twice as large as the inscribed angles. Similarly, the inscribed angle equals half of the central angle.

An inscribed angle is one that has its vertex on a circle and its sides are chords. The intercepted arc is the arc that is contained within the inscribed angle and has its endpoints on the angle.

If a central angle and an inscribed angle intersect the same arc, the central angle is twice the inscribed angle and half the central angle.

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The required value of p(e and f) is 0.24, which is calculated using the conditional probability formula.

What is conditional probability?

Conditional probability is the measure in probability theory that depicts the probability of occurrence of an event given that another event has already occurred. Its mathematical formulation is given by:

P(A/B) = P(A∩B) / P(B)

Here, A is the event and B has already occurred

The calculation for the value of p(e and f)

The assigned value of p(e) = 0.6

Conditional probability, p(f/e) is given as 0.4

We know, that conditional probability = p(e∩f) / p(e)

W need to calculate p(e∩f) which is equal to p(f/e) × p(e)

p(e∩f) = 0.4 × 0.6

= 0.24

Hence, the value of p(e and f) is 0.24.

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The value of x² for 8 degrees of freedom and an area of .05 in the left tail of the chi-square distribution is 1.344

Chi-square Distribution:

The chi-square distribution is a continuous probability distribution. It is skewed to the right or positively skewed for low degrees of freedom but shifts towards the symmetric distribution as the degrees of freedom are increased.

Given,

Degree of freedom = 8

Area of the left = 0.05

Here we need to find the value X² of the chi-square distribution.

The value of X² of the chi-square distribution is calculated through the formula,

X² = X²₍₁ ₋ₓ₎,y

Where

x represents the area of the given tails

y represents the degree of freedom

Apply the values on the formula,

=> X² = X²₍₁ ₋₀.₀₅₎,8

=> X² = X²₍₀.₉₉₅₎,8

Now, based on the Chi square distribution table,

The value of

=> X² = 1.344

Therefore, the value of x² for 8 degrees of freedom and an area of .05 in the left tail of the chi-square distribution is 1.344

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The coordinates of point m if it is known that am : md = 1 : 2 is (4/3, 5)

The given parameters are

A = (-1, 5)

B = (6, 5)

Ratio, m : n = 1 : 2

The coordinates of point m are calculated using

M = 1/(m + n) * (mx2 + nx1, my2 + ny1)

So, we have

M = 1/(1 + 2) * (1 * 6 + 2 * -1, 1 * 5 + 2 * 5)

Evaluate the sum of products

So, we have

M = 1/3 * (4, 15)

Evaluate the product

M = (4/3, 5)

Hence, the coordinates of point m if it is known that am : md = 1 : 2 is (4/3, 5)

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Combination is the counting rule that is used for counting the number of experimental outcomes when n objects are selected from a set of N objects, where order of selection is not important.

The formula for combination is given by:

C = N! / n!(N - n)!

where N is the set of objects

and n is the number of objects to be selected from N

example: If the order doesn't matter, how many ways can 3 girls be selected from a group of 5 girls?

C = N! / n!(N - n)!

where N = 5 and n = 3

C = 5! / 3!(5 - 3)!

C = 120/(6)(2)

C = 10

Hence, there are 10 ways to select 3 girls from a group of 5 girls.

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For 90 trials , expected no. of times of rolling doubles will be 15 times.

It is given that Clarence roll doubles with two cubes.

We have to find out the expected number of times of rolling doubles in 90 trials.

What do you mean by probability ?

Probability is the ratio of the number of favorable outcomes to the total number of outcomes of an event.

As per the question ;

Clarence roll doubles in 90 trials with two cubes.

We know that ;

There are 36 outcomes for a pair of dice.

So ;

In a pair , there are 6 possible doubles.

i.e.,

1-1 , 2-2 , 3-3 , 4-4 , 5-5 and 6-6

So ;

Probability will be ;

= 6 / 36

or

= 1 / 6

And

For 90 trials , expected no. of times of rolling doubles will be ;

= [tex]\frac{1}{6}[/tex] × 90

= 15 times

Thus , for 90 trials , expected no. of times of rolling doubles will be 15 times.

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The inequality given by 3n < -4(2 + n) has the solution n < -8/7 or (-∞ , -8/7).

Inequality refers to the relationship between two non-equal expressions. It can be denoted by > for greater than, < for less than, >/= for greater than and equal to, and </= for less than and equal to.

To solve an inequality is to find the values of x such that when we substitute that number for x we have a true statement.

Given the inequality 3n < -4(2 + n), expand the right term by distributing -4 inside the parenthesis.

3n < -4(2 + n)

3n < -8 - 4n

Add 4n to both sides.

3n + 4n < -8 - 4n + 4n

7n < -8

Divide both sides by 7

7n < -8

n < -8/7

To check, let n = -9/7

n = -9/7 < -8/7

Substitute this value to the inequality.

3n < -4(2 + n)

3(-9/7) < -4(2 + -9/7)

-27/7 < -20/7

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Answer: –1, 9, 19, 29, … (1 point)

38, 37, 32

40, 51, 62

39, 49, 59

38, 47, 56.

Step-by-step explanation: tried

The multiples of 5/4 will be 2 1/2, 3 3/4, 5, etc.

It should be noted that multiples simply mean the answer that one gets when the number of multiplied by any whole number.

Therefore, the multiples will be:

= 5/4 × 2 = 2 1/2

= 5/4 × 3 = 3 3/4

= 5/4 × 4 = 5

Therefore, the multiples of 5/4 will be 2 1/2, 3 3/4, 5, etc.

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The number of games that will be played will be 8 games.

It should be noted that the mathematical relationship between the total cost for a person to bowl at the local bowling alley and the number of games played is represented by

y = 3.50x + 6.00.

The games that you can bowl for $34 will be:

y = 3.50x + 6.00.

34 = 3.50x + 6.00.

Collect like terms

3.50x = 34 - 6

3.50x = 28

Divide

x = 28 / 3.50

x = 8

Therefore, the number of games will be 8 games.

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The 20 randomly generated pairs for the numbers 1 to 6 is (1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,2), (2,3), (2,4), (2,5), (2,6), (3,3), (3,4), (3,5), (3,6), (4,4), (4,5), (4,6), (5,5), (5,6) and  the sum of each pair is 2, 3, 4, 5, 6, 7, 4, 5, 6, 7, 8, 6, 7, 8, 9, 8, 9, 10, 10, 11.

Sum of the number:

When we add two or more numbers, the result or the answer we get can be defined as the SUM. The numbers that are added are called addends.

For example if we add the numbers 2 and 7 then we get the um as 9.

Given,

Here we need to generate the 20 pairs of integers between 1 and 6 . And also we have to record the sum of each pair.

The 20 pairs by using the number 1 to 6 are,

Listed as,

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,2), (2,3), (2,4), (2,5), (2,6), (3,3), (3,4), (3,5), (3,6), (4,4), (4,5), (4,6), (5,5), (5,6).

Now the sum of these 20 pairs are,

(1,1) = 1 + 1  = 2

(1,2) = 1 + 2 = 3

(1,3) = 1 + 3 = 4

(1,4) = 1 + 4 = 5

(1,5) = 1 + 5 = 6

(1,6) = 1 + 6 = 7

(2,2) = 2 + 2 = 4

(2,3) = 2 + 3 = 5

(2,4) = 2 + 4 = 6

(2,5) = 2 + 5 = 7

(2,6) = 2 + 6 = 8

(3,3) = 3 + 3 = 6

(3,4) = 3 + 4 = 7

(3,5) = 3 + 5 = 8

(3,6) = 3 + 6 = 9

(4,4) = 4 + 4 = 8

(4,5) = 4 + 5 = 9

(4,6) = 4 + 6 = 10

(5,5) = 5 + 5 = 10

(5,6) = 5 + 6 = 11

Therefore, the sum of each pair is 2, 3, 4, 5, 6, 7, 4, 5, 6, 7, 8, 6, 7, 8, 9, 8, 9, 10, 10, 11.

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If an infinite geometric series is a convergent series then it must have a sum.

What is a convergent series?

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Answer:

f(g(x)) = x² - 6x + 8

Step-by-step explanation:

to evaluate f(g(x)) , substitute x = g(x) into f(x)

f(x² - 6x + 13)

= x² - 6x + 13 - 5 ← collect like terms

= x² - 6x + 8

Answer:

Step-by-step explanation:

The statements 6 covers the operation:

This is the reflection of the distributive property of multiplication.

The matching answer choice is B.

Answer:

Her age is 15.

Step-by-step explanation:

13 + 14 + 15 = 42

Julia is the oldest and 15 is the greatest of the 3 numbers

therefore Julia is 15

Answer:

(3x,3y) if you're representing the dilation from A' -> A

Step-by-step explanation:

I think that it would be (3x, 3y) bc the original point was dilated by 1/3 (3 x 1/3 = 1, 9 x 1/3= 3), so I'm wondering which dilation it specifies for exactly, b/c if its for A', then the answer would be Betty. Hope this helps somewhat tho

The length of the organism in millimeters is 200 ч 1000 or 0.2 mm.

In the given situation, the organism's length in millimeters is 200 ч 1000 or 0.2 mm.

Therefore, the length of the organism in millimeters is 200 ч 1000 or 0.2 mm.

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A. The mistake that Nia made when solving her expression is that she added all the numbers before multiplying by 4.

B. The expression, if n represents the number of teams, will be 3 + 4n.

C. The expression be different if there were two coaches for each team will be 1 + 6n 4.

It should be noted that the mistake that Nia made when solving her expression is that she added all the numbers before multiplying by 4.

Therefore, the correct answer will be:

= 1 + 2 + 3 × 4

= 1 + 2 + (3 × 4)

= 3 + 12

= 15

B When the number of teams is n, with four dancers in each, then the expression is:

1 + 2 + 4n  = 3 + 4n

C When the number of teams is n and each team consists of two coaches and 4 dancers then the expression is:

1 + (2 + 4)n = 1 + 6n

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Correct way of calculation, using PEMDAS

The mistake was incorrect order of operations. Addition (A)  comes after multiplication (M) or division (D) if no parenthesis (P) or exponents (E) present.

If the number of teams is n, with four dancers in each, then the expression is:

Here 4n is the number of dancers in n teams.

If the number of teams is n and each team consists of two coaches and 4 dancers then the expression is:

Here 6n is the number of coaches and dancers in n teams.

The slope of the line that contains the points (4,3) and (-2,-5) is 4/3

In this question,

we need to find the slope of the line that contains the points (4,3) and (-2,-5).

We know that the slope of the line passing though points (x1, y1), (x2, y2) is:

m = (y2 - y1) / (x2 - x1)

Let (x1, y1) = (4, 3),

(x2, y2) = (-2, -5)

Using the formula of the slope,

m = (y2 - y1) / (x2 - x1)

m = (-5 - 3) / (-2 - 4)

m = -8 / (-6)

m = 4/3

Therefore, the slope of the line that contains the points (4,3) and (-2,-5) is 4/3

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The sales increased exponentially at the rate of $6,65,00,000/year for the next three consecutive years.

We have sales record of communication industry.

We have to determine the increase in sales over the three-year period.

The advantage of using prepaid phone plans is you only pay for the data you use, and you're not tied into a lengthy service contract.

According to the question -

Initial Sales -  $500,000

Sales after 3 years -  $200,000,000

Therefore, the rate at which the sales increased is -

r = [tex]$\frac{2\times 10^{8}- 5\times 10^{5} }{3}[/tex] = $6,65,00,000

Hence, the sales increased exponentially at the rate of $6,65,00,000/year for the next three consecutive years.

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Answer:

25

Step-by-step explanation:

Work shown in the attached screenshot!! Please let me know if you have any questions! :)

Missing terms of the geometric sequence = -10, -5, -2.5

For the geometric sequence to the nth term, the formula is

[tex]t_{n}[/tex] = a [tex]r^{n-1}[/tex]

Here the sequence is -20, __ , __, __, -1.25...

So we have to find the 2nd, 3rd and 4th terms of the sequence.

We know the 5th term of the series by which we can find out the common ratio.

[tex]t_{5}[/tex] = -20 [tex]r^{5-1}[/tex]

-1.25 = -20 [tex]r^{4}[/tex]

[tex]r^{4}[/tex] = 1.25/20

   = 1/16

r = 1/2

The common ratio is 1/2

[tex]t_{2}[/tex] = -20 [tex](\frac{1}{2})[/tex]

   = -10

[tex]t_{3}[/tex] = -20 [tex](\frac{1}{2} )^{2}[/tex]

  = -20 [tex]\frac{1}{4}[/tex]

  = -5

[tex]t_{4}[/tex] = -20 [tex](\frac{1}{2} )^{3}[/tex]

   = -20[tex]\frac{1}{8}[/tex]

   = -2.5

Therefore the missing terms are -10, -5 and -2.5.

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   The given function y = x- 2(x+5), is a linear function.

 A function is a mathematical expression or equation that allows us to visualize graphically the behavior of a function. A function is not real when it cuts the vertical axis at the same point of x.

   A function can be linear or quadratic, this is evidenced by the higher exponential degree.

   We rewrite the function and reduce it to its minimum expression:
y = x- 2(x+5)

y = x + (-2x - 10)

y = x - 2x - 10

y = -x - 10 ,   linear function.

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Answer:

 15,  10,  6

Step-by-step explanation:

Gavin: 2.52 + 6.25 + 6.25 =15.02 = 15

Jason:  6.25 = 6

Evan:  6.25 + 3.72 = 9.97 = 10

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3x^4-5x³

Step-by-step explanation:

The answer is 6, 12, 18, 24, 30, 36, 42.

The pattern is in increasing order i.e., +6.

Given,

6,12,18,24, . . .

Solution:

Note the difference in the given number series 6,12,18,24, . . .

12 - 6 = 6

18 - 12 = 6

24 - 18 = 6

The difference is common and is 6.

The sequence is in increasing order.

So, add 6 to 24 and the consecutive numbers to get the answer.

24 +6 = 30

30 +6 = 36

36 + 6 = 42

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Answer:

Step-by-step explanation:

x+4x+1=76 is the answer