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.
Question 1) In an auditorium, there are 22 seats in the first row and 28 seats in the second row. The number of seats in a row continues to increase by 6 with each additional row. A) Write an iterative rule to model the sequence formed by the number of seats in each row. Show your work. (B) Use the rule to determine which row has 100 seats. Show your work. ( No Plagiarism and only answer if you know how to work this problem out. Will Mark Brainliest).
Answer: Row 14
Step-by-step explanation:
Row 1= 22
Row 2= 28
Row 3= 34
Row 4= 40
Row 5= 46
Row 6= 52
Row 7= 58
Row 8= 64
Row 9= 70
Row 10= 76
Row 11= 82
Row 12= 88
Row 13= 94
Row 14= 100
This question is based on the sequence. Thus, the row 14 has 100 seats.
Given:
In an auditorium, there are 22 seats in the first row and 28 seats in the second row. The number of seats in a row continues to increase by 6 with each additional row.
Now calculated the A part of the question.
According to the question,
By using iterative rule to model the sequence formed by the number of seats in each row.
Row 1= 22 Row 2= 28 Row 3= 34 Row 4= 40 Row 5= 46 Row 6= 52 Row 7= 58 Row 8= 64 Row 9= 70 Row 10= 76 Row 11= 82 Row 12= 88 Row 13= 94 Row 14= 100(B) By using rule , we observe that row 14 has 100 seats.
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Kevin Fast pulled a CC- 177 Globemaster airplane 8.8m. he plane weighed 188 tons. How many pounds did the lane weigh?
Answer:
376000 pounds
Step-by-step explanation:
What's required of this question is to convert the given weight of plane from tons to pounds
Given
[tex]Weight = 188\ tons[/tex]
Required
Get pounds equivalent
From standard unit of measurements
[tex]1\ ton = 2000\ pounds[/tex]
Multiply both sides by 188
[tex]188 * 1\ ton = 188 * 2000\ pounds[/tex]
[tex]188\ tons = 376000\ pounds[/tex]
Hence, the weight of the plane in pounds is 376000
Danielle wants to fill a box with dirt to start a garden if the box is 2 1/5 feet long by 1 1/3 feet wide and 1 1/2 feet deep how much dirt does Daniel need to fill up the box for her garden
Answer:
3/7 and 5/9
Step-by-step explanation:
The volume of dirt needed to fill up the box for Danielle's garden is 22/15 cubic feet.
To find the volume of dirt needed to fill up the box for Danielle's garden, we need to calculate the volume of the box.
The formula for the volume (V) of a rectangular box is:
V = length × width × depth
Given dimensions:
Length = 2 1/5 feet
Width = 1 1/3 feet
Depth = 1 1/2 feet
Now, let's convert the dimensions into improper fractions:
Length = 2 1/5 = (5 × 2 + 1) / 5 = 11/5 feet
Width = 1 1/3 = (3 × 1 + 1) / 3 = 4/3 feet
Depth = 1 1/2 = (2 × 1 + 1) / 2 = 3/2 feet
Now, plug the values into the volume formula:
V = (11/5) × (4/3) × (3/2)
Next, multiply the fractions:
V = (11/5) × (4/3) × (3/2) = 44/30 = 22/15
Now, we can simplify the fraction:
V = 22/15
The volume of dirt needed to fill up the box for Danielle's garden is 22/15 cubic feet.
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write an equation for each description. solve for x
Answer:
x = 33
Step-by-step explanation:
Because of the little square we know the total angle is 90
24 + 2x = 90
-24
2x = 66
/2
x = 33
Can you help me please
Answer:
f(-4)=3(4)^2-5(4)
16*3-20
48-20
f(-4)=28
The perimeter of a rectangle,p, is given by p =2L + 2W , where L is its length and w is its width what is the perimeter of a rectangle of length 15ft and width 15ft ?
Answer:girl use google
Step-by-step explanation:what
WILL MARK AS BRAINLIEST
Answer:
C!
Step-by-step explanation:
I Got it correct! I hope you have a wondeful weekend and Day!!!
A soup recipe requires 40 fluid ounces of water. How many pints of
water does the soup recipe need?
Answer:
US Pints: 2.5, Imperial Pints: ~2.1 (If you live in the US, do 2.5, but if not, then do ~2.1.)
Step-by-step explanation:
To do this, we need to convert fluid ounces to US pints. To do this, you divide the amount of fluid ounces by 16. When we divide 40 by 16, we get 2.5. This means that the soup needs 2.5 pints of water. If you are talking about imperial pints, then we divide the amount of fluid ounces by 19.215. This gets us 2.08, which we can round to 2.1. If you live in the US, do 2.5, but if not, then do ~2.1. I hope this helps!
I need help no jokes plz
Answer:
[tex]\huge\boxed{\sf No}[/tex]
Step-by-step explanation:
These triangles are not similar because their angles are not equal.
Conditions for two or more triangles to be similar:
1) Their angles are congruent or equal.
2) Their sides are proportional.
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807To calculate your Medicare tax deductions, multiply your gross pay by 1.45%. If your gross pay was $350.00, what would be the amount deducted for Medicare? ASAP!!!
The Correct Answer: $5.07
Which trigonometric functions have a domain of [–1, 1]?
Answer:
A. y = arcsinx and y = arccosx
Step-by-step explanation:
edge
The trigonometric functions have a domain of [–1, 1] is sine and cosine function.
What is Domain?The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f(x) make up this set. A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
Given:
From the given identity, the following things can be interpreted:
cos²x = 1- sin² x
cos x = √(1- sin2x)
Since the cosine function is known to be defined for real numbers, the value contained within the root is always positive. Therefore,
1- sin²x ≥ 0
sin²x ≤ 1
sin x ∈ [-1, 1]
Similarly,
1- cos²x ≥ 0
cos²x ≤1
cos x ∈ [-1,1]
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Which expression shows the prime factorization of 30?
2 x 3 x 5
3 x 5 x 7
3 x 5 x 5
2 x 2 x 3
Answer:
A
Step-by-step explanation:
because 2x3 equals 6
then 6x5 equals 30
( i did the math for the other ones and its a;)
What is a fraction equivalent to 4/4? Explain how you know.
Answer: Any number over itself is equivlent to 4/4.
Examples: 3/3, 18/18, 5/5, 90/90
Step-by-step explanation:
Because 4/4 is equivalent to 1 whole.
A fraction that is equivalent to 4/4 would be, 5/5 as, After simplifying the fraction 5/5 is equal to 1.
A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction.
Given that,
The fraction is,
⇒ 4/4
Now, after simplifying the fraction we get;
⇒ 4/4
⇒ 1
So, Let a fraction that is equivalent to 4/4 would be;
⇒ 5/5
After simplifying we get;
⇒ 5/5 = 1
Therefore, A fraction that is equivalent to 4/4 would be, 5/5
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Can smoke please help me with this I need help I’ll give brainliest
Answer:
only one solution at x=0
Step-by-step explanation:
A box contains 2 purple marbles, 2 blue marbles, 3 green marbles, and 5 red marbles. What is the probability of picking a green marble?
Answer:
0.25
Step-by-step explanation:
The total number of marbles is 2 + 2 + 3+ 5 = 12
the number of green ones is 3
So the probability of green = 3/12 = 1/4 = 0.25
Answer:
Red
Step-by-step explanation:
Because it was most pick the first time
How can we find how many inches wide the coat box is?
Answer:
First we found the sum of 15.438 and 3.18. The subtract the answer from 32.476.
Option A is correct.
Step-by-step explanation:
The total width of box is = 32.476
Width of box of T-shirts = 15.438
Width of box of Socks = 3.18
We need to find width of coat box.
The width of coat box can be found as:
Total Width = Width of box of T-shirts + Width of box of Socks + width of coat box
32.476 = 15.438 + 3.18 + width of coat box
32.476 = 18.618 + width of coat box
width of coat box= 32.476 - 18.618
width of coat box = 13.858
So, The Width of coat box = 13.858 inches
First we found the sum of 15.438 and 3.18. The subtract the answer from 32.476.
Option A is correct.
Sheldon had 5 cookies and Sara had 10 cookies how many cookies do they have all together
Answer:
15 10+5=15 have a nice day
Step-by-step explanation:
Translate the sentence into an equation. Four less than a number is 17. Which equation is correct?
x - 17 = 4
X - 4 = 17
x + 4 = 17
x + 17 = 4
Answer:
b
Step-by-step explanation:
70 POINTS ANSWER QUICK! PLEASE PLEASE
Dilate the figure below by a scale factor of 1/2 and provide the points for the new image.
What is f, e, g,?
Step-by-step explanation:
F -2,4
E -2,-2
G 4,-4
is the answer
Answer:
f -2,4
e -2,-2
g 4,-4
Step-by-step explanation:
Coach Crowell won 80% of the games he pitched. If he pitched 35 games, how many did he win?
Answer:
28
Step-by-step explanation:
Multiply 35 by .8
Answer:
If he pitched 35 games then he will win 28 of his games.
Step-by-step explanation:
You take 35 and multiply it by the percentage. But first make the percentage a decimal by moving the decimal two places to the right making it .8
Then you multiply and you have your answer!
HELP ASAP ILL GIVE BRAINLIEST!!!
At the park, 3/5 of the space is for the playground equipment . Of that space. 1/4 is used for swings. What fraction of the park is used for swings?
3/20
1/5
1/3
4/9
Answer:
1/5 is ur answer
Step-by-step explanation:
Why cant 7 be a remainder in 6499 divided by 7
Answer:
It would be a decimal not a remainder :)
Step-by-step explanation:
BD = ED, CD = FD, Prove BC = EF
HL postulate is the answer
You rode your bike for 5 miles in 30 minutes.
If
you rode at the same rate, you would ride 12 miles in 80 minutes.
12
HINT:
5
30
O True
O False
percent change of 14 books to 40 books
Answer:
185.714285714%
A change from 14 to 40 represents a positive change (increase) of 185.71428571428572%
I WILL GIVE 30 POINTS TOO WHOM FIRST ANSWERS THIS QUESTION RIGHT!!!! AND IF I HAVE OTHER QUESTIONS AND THEIR ANSWERED I WILL COUNT BRAINLIEST!!!!!!!
Solve the inequality below.
-x + 5 < 7
Which of the following values of x DO NOT make the inequality true?
A. -1
B.- 3
C. 7
D. 5
Answer:
B: -3
Step-by-step explanation:
-(-3) + 5 < 7
3 + 5 <7
8 < 7 FALSE
Answer:
-3
Step-by-step explanation:
Solve for x in the inequality, to get x > -2 (see the image below if you want to know how to solve it). Then, we can substitute the numbers for x to see which ones DO NOT make the inequality true:
-1 > -2 This is true, because -1 is greater than -2
-3 > -2 This is false, because -3 is not greater than -2
7 > -2 This is true, because 7 is greater than -2
5 > -2 This is true, because 5 is greater than -2
So you can see that -3 is the number that DOES NOT make the inequality true. So therefore:
Answer: -3
Hope this helps! :)
Determine whether the triangles are congruent by sss sas asa aas or hl
Answer:
the answer is they are congruent
North and South had conflict over which of the following? (lol I accidentally put this as math but it's HISTORY)
A. Slavery
B. Tariffs
C. States' Rights
D. All of the above
Answer: I think D
Step-by-step explanation: I know slavery and states rights but i don’t know about the b one
Answer: All of the above
Step-by-step explanation: The south wanted slavery, lower or no tariffs, and individualized states writes. On the other hand, the north wanted no slavery, tariffs, and a central government.
W =15
2. Marlon buys 9 packs of hot dogs. There are 6 hot dogs in each pack. After
left over. How many hot dogs were eaten?
nore planted 65 seeds. 80 % of them sprouted how many seeds sprouted
Answer:
52 of them sprouted
Step-by-step explanation:
Multiply 0.80 by 65
(0.80 is equal to 80%)
52
Hope this helps :)
Answer:
52 seeds sprouted
Step-by-step explanation:
80% of 65 = 52
sorry for the first time i put 60 in my calculator