Jack bought 500 shares in Glastonbury Goods at $17.85 per share on January 18, 2015. On January 25, 2017, he sold 300 shares after its price had dropped to $15.25 per share. He bought 250 more shares on January 31, 2017 when the price had fallen to $11.90 a share. He sold all of his stock at $18.00 per share on February 5, 2017. How much of a profit/loss did Jack make over the course of his investment? ____________________ profit or loss

Answer:

1/3

Step-by-step explanation:

The numbers are 1, 2, 3, 4, 5, and 6.

Both 3 and 6 are multiples of 3.

So, 2/6 is the probability since there is an equal change that the arrow will land on each section.

This simplifies to 1/3.

Brainliest, please :)

Answer:

P (multiple of 3) =  \(\bf \frac{1}{3}\)

Step-by-step explanation:

Numbers on the spinner, ξ = {1, 2, 3, 4, 5, 6}    (6 elements)

Multiples of 3 = {3, 6}   (2 elements)

P (multiple of 3) = no. of multiples of 3 / total no. of numbers on spinner

                          =  \(\frac{2}{6}\)

                          =  \(\bf \frac{1}{3}\)

The geometric mean of 3√5/4 and 5√5/4 is 5√3/4.

Geometric mean, like arithmetic mean, is a kind of average and a measure of central tendency.

To solve for the geometric mean, we multiply the numbers together and then take a square root (for two numbers), cube root (for three numbers) etc. In other words, geometric mean is the nth root of the product of n values.

The formula for the geometric mean is given by:

GM = n√x1 x2 . . . xn

Solving for the geometric mean between 3√5/4 and 5√5/4 using the formula:

GM = n√x1 x2 . . . xn

where n = 2, x1 = 3√5/4, and x2 = 5√5/4

GM = √(3√5/4)(5√5/4)

GM = √(75/16)

GM = 5√3/4

Hence, the geometric mean of 3√5/4 and 5√5/4 is 5√3/4.

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Answer:

-8100

Step-by-step explanation:

(2/5)^-2(-3)^4

Given data

and second term

The first term=  (2/5)^-2  and

Second term=(-3)^4

Simplify the first term

(2/5)^-2= 2^-2/ 5^-2= 1/2^2 * 1/5^2

=1/4/ 1/25

=1/4*25/1

=100

Simplify the second term

=(-3)^4

= -81

Hence, 100*81

=-8100

Store C offers the best deal

Based on the lowest cost per minute, Store C has the best deal. It charges $45 for a 1.5 hour lesson, which works out to $0.30 per minute. The other stores charge more per minute: Store A charges $0.56 per minute, Store B charges $0.50 per minute, and Store D charges $0.40 per minute for each of the three 1 hour lessons.

Store A has the highest cost that is $0.56 per minute

Next Store B comes in the 2nd place which costs around $0.50 per minute.

After that Store D charges at the rate of $0.40 per minute.

Store C offers the best deal which is $0.30 per minute.

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Arithmetic sequence is done by adding or subtracting the difference. The 12th term of the arithmetic sequence will be 58.

The arithmetic sequence is the series of numbers where every two consecutive terms have the same difference between them.

We know that the nth term of an arithmetic sequence is given as,

\(a_n = a_1 + (n-1)d\)

Also, we are given two functions adding the two functions we get,

\(f(x) + g(x)\\\\ = 25 + 3(n-1)\)

comparing the sum we get with the arithmetic sequence formula for nth term, we will understand that,

\(a_1 + d(n-1)\\25+3(n-1)\)

therefore,

a₁ = 25

and d = 3

that means the first term of the sequence is 25 while the difference between the two terms is 3.

Now, substituting the values in the formula we will get that the 12th terms of the sequence can be written as,

\(a_n = a_1 + (n-1)d\\\\a_{12} = 25 + (12-1)3\\\\a_{12} = 25 + 33\\\\a_{12} = 58\)

Hence, the 12th term of the arithmetic sequence will be 58.

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1) 2 and 12

2) 12 and -2.  

Explanation:1)Below we illustrate and prove that 2 and 12 multiply to 24 and add up to 14:

2 × 12 = 24

2 + 12 = 14

Are you asking because you are trying to figure out how to factor the following quadratic equation?

x2 + 14x + 24 = 0

If so, the solution to factor the quadratic equation above is:

(x + 2 ) (x + 12)

To summarize, since 2 and 12 multiply to 24 and add up 14, you know that the following is true:

x2 + 14x + 24 = (x + 2 ) (x + 12)

2)x + y = 10 and xy = -24

Since xy = -24, y = -24/x.

So, x - 24/x = 10

x2 - 24 = 10x

x2 - 10x - 24 = 0

(x - 12)(x + 2) = 0

So, x = 12 or -2

The numbers are 12 and -2.  

Answers  in bold:

=====================================

Explanation:

This is something you do using trial and error. Here are the ways to multiply to 24 using positive factors

We cross "1*24" off the list since 1+24 = 25 when we want the factors to add up to 14. But 2+12 = 14 works perfect.

Problem 2 is handled the same way, but this time 4+6 = 10 is what we're after.

Answer:

a) the coordinates of the gas station are (1, -2)        

b) 1 : 2 ratio, since the gas station is exactly at the middle.

c) the coordinates of the fast food restaurant are (3, -1)

On the attached graph, you will find Mario's house and school, plus the gas station and fast food restaurant.

Answer:

x is 3.4 i think

Step-by-step explanation:

Answer: B

Step-by-step explanation:

QUICK

lol

Answer:

since the line goes through the origin you dont need a y intercept.

y= x/2

or y= 1/2 x

Answer:

a₁₅ = 71

Step-by-step explanation:

The nth term of an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 1 and d = 6 - 1 = 5 , then

a₁₅ = 1 + (14 × 5) = 1 + 70 = 71

Step-by-step explanation:

hear is your answer in attachment

The shaded area of the 22mm face of the cylinder is approximately 380 square millimeters.

To find the shaded area of the 22mm face of the cylinder, we need to determine the area of the circular face.

The formula for the area of a circle is:

Area = π * radius^2

The radius of the circular face is half of the diameter, which is 22mm, the radius would be 22mm / 2 = 11mm.

Substituting the radius into the area formula:

Area = π * (11mm)^2

Calculating the value:

Area ≈ 3.14159 * (11mm)^2

≈ 3.14159 * 121mm^2

≈ 380.1327mm^2

Rounding the area to the nearest whole number:

Area ≈ 380mm^2

Therefore, the shaded area of the 22mm face of the cylinder is approximately 380 square millimeters.

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To simplify the expression 5√8 + √3, we can simplify each radical term separately and then combine them.

First, let's simplify the radical terms:

√8 can be simplified as 2√2 because 8 can be factored into 4 * 2, and √4 is equal to 2.

√3 cannot be simplified further since 3 is a prime number.

Now, let's substitute the simplified radical terms back into the expression:

5√8 + √3 becomes 5(2√2) + √3.

Next, we can multiply the coefficients outside the radicals:

5(2√2) is equal to 10√2.

Putting it all together, the simplified expression is:

10√2 + √3.

So, 5√8 + √3 simplifies to 10√2 + √3.

Write the area A of an equilateral triangle as a function of the length s of its sides. Draw the triangle; label each side "2s". Draw the altitute; it will bisect the base into s and s. ... Therefore, the area is equal to the measure of the bisected side times the measure of the altitude, quantity divided by 2.

HOPE SO IT HELPS YOU

Answer:

Step-by-step explanation:

Part A

Each side including     the base is s.

Part B

Use 1/2 the base to find the height. The height meets the base at 90 degrees which gives you the right to use c^2 = b^2 + a^2

The hypotenuse is s

The base is 1/2s

h^2 = s^2 - (1/2s)^2

h^2 = s^2 - 1/4 s^2

h^2 = 3s^2/4

h = sqrt(3)/2 *s

Area = 1/2 * s * sqrt(3)/2 s

Area = 1/4 * s^2 * sqrt(3)

Answer:

C

Step-by-step explanation:

uh.....

3 1/8 hope this helps you pass

1. Find your greatest common factor (GCF). 2x - 3y is your greatest common factor.
2. Factor out your GCF. (2x - 3y)((2x - 3y)²/2x - 3y) + -(3x + 4y)(2x - 3y)/2x - 3y) Don't fret about the size! This is the fastest way to simplify.
3. Simplify each term. (2x - 3y)(2x - 3y - 3x - 4y)
4. Combine like terms. (2x - 3y)((2x - 3x) + (-3y - 4y))
5. Simplify (2x - 3x) + (-3y - 4y). -x - 7y.
6. Simplify final equation. (2x - 3y)(-x - 7y)

1. grape .

2. tribe.

3. break.

4. brand.

5. price.

6. press.

7. frost.

8. break.

9. tribe.

10. frost.

Step-by-step explanation:

Brainliest answer !!please!!

Answer:

m∠COD = 83°(I assumed it was somewhere right in-between 80-89 degrees, so I picked 83 as the most logical in between those integers.)

∠COD is an acute angle since it's less than 90°.

I hope this helps you, let me know if you have concerns related to this question and I will help with that.

Answer: 1/6

Step-by-step explanation:

An easy way for me to find a common denominator is to multiply both denominators: 3 times 2 and then subtract 2-1.

1/6  

Answer:

11z+ 13

Step-by-step explanation:

22z - 11z = 11z

11z+ 13

Answer:

Click C.

√65,17/2,8.9,3^2,√100

Have a blessed day B)

Answer:

C √65,17/2,8.9,3^2,√100

Step-by-step explanation:

from least to greatest

√65=8.06

17/2=8.5

8.9

3^2=9

√100=10

Answer:

13.3333 yards are in 40 feet

Step-by-step explanation:

Answer:

-3x^2

Step-by-step explanation:

We must do the 'work' inside the parentheses first:

(3x squared)  works out to  3x^2

after which we preface this result with the ' - ' sign:  -3x^2

Note:  if we write ONLY 3x squared the correct interpretation is 3x^2.  But if we write (3x) squared, the correct interpretation is 9x^2.  Double check the original problem, please, or (better yet) share an image of the original problem.

The evaluations of the composite functions are:

11. f[g(x)] = 40x - 5.

12. g[f(x)] = 18x - 15.

13. h[f(0)] = 13.

14. f[h(0)] = 13.

11. Given f(x) = 5x - 5 and g(x) = 8x^1, we need to evaluate the composite function f[g(x)].

Substituting g(x) into f(x), we have f[g(x)] = f(8x^1).

Simplifying the expression, we get f(8x^1) = 5(8x^1) - 5.

This simplifies further to f(8x^1) = 40x - 5.

12. Given f(x) = 9x - 7 and g(x) = 2x - 1, we need to evaluate the composite function g[f(x)].

Substituting f(x) into g(x), we have g[f(x)] = g(9x - 7).

Simplifying the expression, we get g(9x - 7) = 2(9x - 7) - 1.

Expanding and simplifying further, we have g(9x - 7) = 18x - 14 - 1.

This simplifies to g(9x - 7) = 18x - 15.

13. Given h(x) = 3x + 4 and f(x) = x + 3, we need to evaluate the composite function h[f(0)].

First, we substitute 0 into f(x), which gives us f(0) = 0 + 3.

Next, we substitute f(0) into h(x), which gives us h[f(0)] = h(0 + 3).

Simplifying the expression, we have h(0 + 3) = h(3).

Substituting 3 into h(x), we get h(3) = 3(3) + 4.

This simplifies to h(3) = 9 + 4, which gives us h(3) = 13.

14. Given h(x) = 7x + 8 and f(x) = x + 5, we need to evaluate the composite function f[h(0)].

First, we substitute 0 into h(x), which gives us h(0) = 7(0) + 8.

Simplifying further, we have h(0) = 0 + 8, which gives us h(0) = 8.

Next, we substitute h(0) into f(x), which gives us f[h(0)] = f(8).

Substituting 8 into f(x), we have f(8) = 8 + 5.

This simplifies to f(8) = 13.

Therefore, the evaluations of the composite functions are:

11. f[g(x)] = 40x - 5.

12. g[f(x)] = 18x - 15.

13. h[f(0)] = 13.

14. f[h(0)] = 13.

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-2, 1, 4, and 6 are the x-intercepts of the function f(x).

To find the x-intercepts of the function f(x) = (x+2)(x-1)(x-4)(x-6), we need to set f(x) equal to zero and solve for x:

(x+2)(x-1)(x-4)(x-6) = 0

The product of four factors is equal to zero if and only if at least one of the factors is equal to zero. Therefore, we can set each factor equal to zero and solve for x to find the x-intercepts:

x+2 = 0, x-1 = 0, x-4 = 0, x-6 = 0

Solving each equation, we get:

x = -2, x = 1, x = 4, x = 6

Therefore, the x-intercepts of the function f(x) are -2, 1, 4, and 6.

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Answer:

50.28

Step-by-step explanation:

Answer:

50.28 & 53.44

Step-by-step explanation:

88.73 - 38.45 = 50.28

22.27 + 31.17 = 53.44

When the probability is 0.77 for the sample mean to be greater than certain value, tis value is solved to be 4.3

The problem will be solved with t-scores as the number of sample is less than 30

number of sample, n = 25

degree of freedom, df

= n - 1

= 25 - 1 = 24

Assuming a confidence level of 95%, probability of 0.77, with a df of 24 the t-score is 2.064

the question is asking for greater than = 1 - 2.064 = -1.064

Using the formula for t scores

t = (X - μ) / σ

Definition of variables

mean, μ  = 4.70

standard deviation, σ = 0.40

-1.064 = (X - 4.7)/0.4

-1.064 * 0.4 = X - 4.7

-0.4256 = X - 4.7

-0.4256 + 4.7 = X

X = 4.2744 approximately 4.3

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Answer:

slope = - 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 2x + 3 ← is in slope- intercept form

with slope m = - 2

In this case, we are defining a linear transformation T from a subspace of dimension 3 (Ra) to a subspace of dimension b (Rb) using the matrix A.

Since A is a 5 x 3 matrix, it maps a vector in Ra (which has dimension 3) to a vector in R5 (which has dimension 5). To determine the dimensions of Ra and Rb, we need to look at the dimensions of the vector x and the matrix A. Since A has 3 columns, the vector x must have 3 entries, so Ra is a subspace of R3. Since T(x) is a vector in R5, b must be 5.

Therefore, we have a = 3 and b = 5. The linear transformation T maps vectors in Ra to vectors in R5, and is defined by T(x) = Ax where A is a 5 x 3 matrix.

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