5TH GRADE LEVEL QUESTION: look at photo and answer.

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:

d

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Got it right in use test prep

Answer:

746590.75

You can alos just type it into a calculator.

Answer:

A. (-5, 0) and (1, -3)

B. Slope (m) = -½

C. y + 3 = -½(x - 1)

D. y = -½x - ⁵/2

E. ½x + y = ⁵/2

Step-by-step explanation:

A. Two points on the line from the graph are: (-5, 0) and (1, -3)

B. The slope can be calculated using two points,(-5, 0) and (1, -3):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 - 0}{1 -(-5)} = \frac{-3}{6} = -\frac{1}{2} [/tex]

Slope (m) = -½

C. Equation in point-slope form is represented as y - b = m(x - a). Where,

(a, b) = any point on the graph.

m = slope.

Substitute (a, b) = (1, -3), and m = -½ into the point-slope equation, y - b = m(x - a).

Thus:

y - (-3) = -½(x - 1)

y + 3 = -½(x - 1)

D. Equation in slope-intercept form, can be written as y = mx + b.

Thus, using the equation in (C), rewrite to get the equation in slope-intercept form.

y + 3 = -½(x - 1)

2(y + 3) = -1(x - 1)

2y + 6 = -x + 1

2y = -x + 1 - 6

2y = -x - 5

y = -x/2 - ⁵/2

y = -½x - ⁵/2

E. Convert the equation in (D) to standard form:

y = -½x - ⁵/2

½x + y = ⁵/2

Answer:

9.016025oz

Step-by-step explanation:

Answer: 9.016

Step-by-step explanation:

for an approximate result, divide the mass value by 28.35

Answer:

wait what? sorry ,,,,,,,

Answer:

multiply

Step-by-step explanation:

it depends on how much eric has currently

Ex: eric has 3 teaspoons of water and 4 cups of flour

3x3=9

so he has 9 teaspoons intead of 3

4x3=12 so he needs 12 cups of flour

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

I don't ever understand this !

Answer: 1/2

Step-by-step explanation:

Answer:

1 and 1/2

Step-by-step explanation:

Answer:

13.7

Step-by-step explanation:

1.37 x 10^1

Solve the exponent.

1.37 x 10

13.7 is the standard form of 1.37 x 10^1.

Mark me brainliest plzz and thank you

make me brainliest by clicking the crown at the bottom of this answer next to the comments button thank you!!

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:

80

Step-by-step explanation:

wowwwww he just roasted youuuuuuuuuu!!!!!

The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.

Answer:27

Step-by-step explanation:

3^3=27

Answer:

x-30=-15

Step-by-step explanation:

x-30=-15

subtact 30 from both sides

Answer:

12:10 or 6:5

Step-by-step explanation:

If 2 more girls join, the ratio will be 12:10 or 6:5.

Answer:

$1050 in total including the interest.

Step-by-step explanation:

The answer is 1050 because 5% of 600 is 30 and 30 multiplied by 15 is 450, and 600 plus 450 is 1050

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:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

-6

Answer:

2 rows of 41

Step-by-step explanation:

....... i think

I have the same question, and I have nothing in my brain....-_-''

Let -4x - 15y = 17 be known as equation 1 and -x + y = -13 as equation 2.

To solve the system of equations, we need to determine the value of the "x" and "y" variables. Let us start by determining the value of the y variable.

Note: Since the second equation looks easier to solve for y (in my opinion), I will determine the value of y in the second equation.

This can be done by isolating y on one side of the equation.

Equation 2: [tex]\bold{-x + y = -13}[/tex]

Add "x" on both sides of the equation:

[tex]\implies -x + y = -13[/tex]

[tex]\implies -x + y + x = -13 + x[/tex]

[tex]\implies y = -13 + x[/tex]

Therefore, the value of y is -13 + x. Let us substitute the value of y, obtained from equation 2, into equation 1 to determine the value of x.

Equation 1: [tex]\bold{-4x - 15y = 17}[/tex]

Substitute the value of y in the equation:

[tex]\implies 4x - 15y = 17[/tex]

[tex]\implies -4x - 15(-13 + x) = 17[/tex]

Simplify the distributive property:

[tex]\implies -4x - 15(-13 + x) = 17[/tex]

[tex]\implies -4x + (195 - 15x) = 17[/tex]

[tex]\implies -4x + 195 - 15x = 17[/tex]

Combine like terms on both sides:

[tex]\implies -4x + 195 - 15x = 17[/tex]                                         

[tex]\implies -19x + 195 = 17[/tex]                                                                

Subtract 195 on both sides of the equation:                      

[tex]\implies -19x + 195 = 17[/tex]                                                                    

[tex]\implies -19x + 195 - 195 = 17 - 195[/tex]                                    

[tex]\implies -19x = -178[/tex]                                                                        

Divide -19 on both sides of the equation:                        

[tex]\implies -19x = -178[/tex]                                                                

[tex]\implies \dfrac{-19x}{-19} = \dfrac{-178}{-19}[/tex]                                                      

[tex]\implies \bold{x = \dfrac{178}{19} }[/tex]                                                                        

Now, substitute the value of x in -13 + x to determine the value of y. Once determined, we can put the solution in (x, y) form.

[tex]\implies y = -13 + x[/tex]

[tex]\implies y = -13 + \dfrac{178}{19}[/tex]          

[tex]\implies y = \dfrac{-247}{19} + \dfrac{178}{19}[/tex] 

[tex]\implies \bold{y = \dfrac{-69}{19} }[/tex]

∴ Solution ⇒ (x, y) ⇒ (178/19, -69/19)

Therefore, the solution to the following system of equations is (178/19, -69/19)

Learn more about system of equations: https://brainly.com/question/13024262

Answer:

a

Step-by-step explanation:

you should Mark me brainliest;)

Answer:

13

Step-by-step explanation:

convert percent to decimal: .20

.20 x 65

13

Answer:

710 hairbands

Step-by-step explanation:

Total hairbands = (5*dollars spent) + 90

Max hairbands = (5 * 124) + 90

Answer:

Jamie is 56 years old and savannah is 24 years old

Step-by-step explanation:

60 split in half 30, then savannah is 16 years younger than jamie so u subtract 16 from 30 and u get 14, then u add the 16 to the other 30 and get 46. Then you add 10 to each of  those numbers.