Quick need help for this question

Answer:

The average price of the stock over the first six years is 56.669 US dollars.

Step-by-step explanation:

Since the price is a continuous and differentiable function, we can determine the average price by means of the following integral equation:

[tex]\bar S = \frac{1}{t_{F}-t_{O}}\cdot \int\limits^{t_{F}}_{t_{O}} {S(t)} \, dt[/tex] (1)

Where:

[tex]t_{O}[/tex] - Initial time, measured in years.

[tex]t_{F}[/tex] - Final time, measured in years.

If we know that [tex]t_{O} = 0\,yr[/tex], [tex]t_{F} = 6\,yr[/tex] and [tex]S(t) = 46+12\cdot e^{-0.04\cdot t}[/tex], then the average price of the stock over the first six years is:

[tex]\bar S = \frac{46}{6-0} \int\limits^6_0 dt +\frac{12}{6-0}\int\limits^6_0 {e^{-0.04\cdot t}} \, dt[/tex]

[tex]\bar S = \frac{23}{3}\cdot t|\limits_{0}^{6}-\frac{2}{0.04}\cdot e^{-0.04\cdot t}|_{0}^{6}[/tex] (2)

[tex]\bar S = \frac{23}{3}\cdot (6-0)-\frac{2}{0.04}\cdot [e^{-0.04\cdot (6)}-1][/tex]

[tex]\bar S = 56.669\,USD[/tex]

The average price of the stock over the first six years is 56.669 US dollars.

Answer:

2

Step-by-step explanation:

the two sides are 3 and its equal to 8..its 2

Answer: x<5

Step-by-step explanation: Subtract 10 from both sides. Simplify  -15-10 to  -25. Divide both sides by -5. Two negatives make a positive. Simplify 25/5 to 5.

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Points on line: (1,2) (3,3)

[tex]\frac{2-3}{1-3}[/tex] = [tex]\frac{-1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]

Answer:$5.80

Step-by-step explanation:

if you multiply 1.29 by 4.5 then you get 5.80500 which assuming you're talking about money rounds to $5.80

Answer:

look at step by step

Step-by-step explanation:

A) That is the number of bacteria that originally started in the culture

B) That is the rate at which the bacteria will reproduce

C) 1000 represents the number of bacteria at the beginning of the second culture.

The first study started with more bacteria, and will grow faster because of this

Answer:

b i did it

Step-by-step explanation:

Answer:

The correct answer is graph C.

Step-by-step explanation:

❌On a coordinate plane, a line goes through points (negative 3, 0) and (0, negative 3).

- the first point needs to be swapped in order to form  x-3.  

❌On a coordinate plane, a line goes through points (0, negative 1) and (1, 2).

- doesnt have a negative 3.

✔On a coordinate plane, a line goes through points (0, negative 3) and (3, 0).

- this answer has x as 0, and y as -3. which is equal to x-3.

I'm late but

Answer:

yeah

Step-by-step explanation:

I failed 3rd grade

Answer:

bhbihihibibiuiuiuiubiubiubibiubiub

Step-by-step explanation:

Answer:

She can fill 17 jars and will still have 8 pennies left over.

17*26=442

450-4422=8

Let me know if you need more help! :)

Answer:

y = 4/3x - 4.5

Step-by-step explanation:

1) find the slope 4/3

2) find the y-intercept

3) done ------>    y = 4/3x - 4.5

Answer:

(5,2)(-1,-6)

Step-by-step explanation:

-6-2/-1-5

-8/-6

=4/3

Y+1=4/3(x+6)

Y+1=4/3x+8

Y=4/3x+7

Answer:

15/20 cups of cranberry juice

Step-by-step explanation:

3/5 cranberry juice makes 12

12/2=6

3/5= 0.3

6/2=3

0.3/2= 0.15

0.15 = 3/20

3/20 cranberry juice makes 3 servings.

add 3 and 12 to make 15 servings, add 3/5 and 3/20.

3/5= 12/20

12/20 + 3/20 = 15/20 cups of cranberry juice

Answer:

Volume of cylinder = 250πm³

Step-by-step explanation:

Given:

Height h = 10 m

Radius r = 5 m

Find:

Volume

Computation:

Volume of cylinder = πr²h

Volume of cylinder = π(5)²(10)

Volume of cylinder = 250πm³

Answer:

.51 meters of twine

Step-by-step explanation:

add the numbers of twine they each need which is 15.78 then subtract the 16.29 they have minus the 15.78 they need now you have a left over .51 meters

Answer:27

Step-by-step explanation:

3^3=27

Answer:

0.0214

Step-by-step explanation:

Given that :

p = 5% = 0.05

Number of trials (n) = 5

probability that the sample contains exactly two defective parts

P(x = 2)

Using the binomial probability function :

P(x = x) = nCr * p^x * (1 - p)^(n-x)

P(x = 2) = 5C2 * 0.05^2 * (0.95)^3

P(x = 2) = 5C2 * 0.05^2 * (0.95)^3

P(x = 2) = 10 * 0.0025 * 0.857375

= 0.021434375

= 0.0214

Answer:

80

Step-by-step explanation:

Answer:

710 hairbands

Step-by-step explanation:

Total hairbands = (5*dollars spent) + 90

Max hairbands = (5 * 124) + 90

Answer:

>

Step-by-step explanation:

Answer:

Answer = (-4,1)

Step-by-step explanation:

Answer:

r=144

Step-by-step explanation:

Cross multiply:

12 * 60 = r * 5

Simplifying

12 * 60 = r * 5

Multiply 12 * 60

720 = r * 5

Reorder the terms for easier multiplication:

720 = 5r

Solving

720 = 5r

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '-5r' to each side of the equation.

720 + -5r = 5r + -5r

Combine like terms: 5r + -5r = 0

720 + -5r = 0

Add '-720' to each side of the equation.

720 + -720 + -5r = 0 + -720

Combine like terms: 720 + -720 = 0

0 + -5r = 0 + -720

-5r = 0 + -720

Combine like terms: 0 + -720 = -720

-5r = -720

Divide each side by '-5'.

r = 144

Simplifying

r = 144

Answer:

r=144

Step-by-step explanation:

We need to find r. To do that me must make the top numbers the same.

We'll multiply

[tex] \frac{12}{r} \times \frac{5}{5 } = \frac{60}{5r} [/tex]

[tex] \frac{5}{60} \times \frac{12}{12} = \frac{60}{720} [/tex]

Since the top numbers are equal that means the bottoms are too.

So we can create the equation:

[tex]5r = 720[/tex]

Divide each side by 5

r=144

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

Answer:

$4.50/ g - Games

Step-by-step explanation:

$18

-------------  =  $4.50/g

4 g

$27

------- = $4.50/g

 6 g

C(x) = ($4.50/game)x, where x is the # of games played.

Answer:

Remove the variable from the Model

Step-by-step explanation:

Normally, when considering which variable to keep and which one to drop when considering testing of the contribution of an individual regressor variable to the model, generally speaking we use one explanatory variable for between 10-15 observations.

Now, before we run our regression, we would need to run correlation analysis between all explanatory variables to detect if there's any multicollinearity, and also between the dependent variable and the regressors in order to determine the most important predictors to be included in the regression.

So after the analysis, for the null hypothesis not to be rejected, we will remove the variable from the Model.

Answer:

C Marie's sample is biased.

Step-by-step explanation:

It is biased because she doesn't know. It is just 1 hour so like there could be like a lot of people at 4-5 and not a lot at 10-11

Hope this helps!

Merry Christmas

Answer:

Give the other person brainliest.

Step-by-step explanation:

The other person is correct.

Answer:

1/4x+3

Step-by-step explanation:

1/4(8+x+4)

1/4 *8 + 1/4*x+1/4*4

2+1/4x+ 1

1/4x+3

Hope this helps you!

Happy holidays!

Have a merry christmas and new year!

Answer:

2+1/4x+1

3+1/4x

Step-by-step explanation:

There you go final answe is

3+1/4x

Answer:

C. It is not proportional because it is not a straight line.

Step-by-step explanation:

You can check to see if it is a straight line by setting up a table and ensuring that the values increase by the same amount every ordered pair.

------> The Answer Is C <------

Hope this helps have a good day :D

Answer:

[tex]Area = 968000cm^2[/tex]

Step-by-step explanation:

To be able to answer this question properly. I'll assume the length of the room is in meters.

So for the room, we have:

[tex]Length = 12.8m[/tex]

[tex]Breadth = 850cm[/tex]

For the bed, we have:

[tex]Length = 300cm[/tex]

[tex]Breadth = 400cm[/tex]

First, we calculate the surface area of the room.

[tex]A_1 = 12.8m * 850cm[/tex]

Convert all units to cm

[tex]A_1= 12.8*100cm * 850cm[/tex]

[tex]A_1= 1 088 000 cm^2[/tex]

Next, we calculate the area of the bed

[tex]A_2 = 300cm * 400cm[/tex]

[tex]A_2 = 120000cm^2[/tex]

The area of the space left  is the difference between A1 and A2

[tex]Area = A_1 - A_2[/tex]

[tex]Area = 1088000cm^2 - 120000cm^2[/tex]

[tex]Area = 968000cm^2[/tex]

Answer:

44%

Step-by-step explanation:

.44 x 125 equals 55 n

Answer:

The percentage of people who were children = 44%

Step-by-step explanation:

We need to determine the percentage of the people on the trail who are children.

so

Children percentage = 55 / 125 × 100

                                   = 0.44 × 100

                                   = 44%

Therefore, the percentage of people who were children = 44%