- A quadratic model for a certain stock on Wall Street is P=-3d2 + 50d, where d
represents the days of trading and P is the price per share.
a. What is the maximum price per share of the stock?
Help please I’m stuck
Answers
Answer:
208.333
Step-by-step explanation:
A quadratic model for a certain stock on Wall Street is given by :
[tex]P=-3d^2+50d[/tex] ...(1)
(a) We need to find the maximum price per share of the stock. For maximum value, put :
[tex]\dfrac{dP}{dd}=0[/tex]
[tex]\dfrac{d(-3d^2+50d)}{dd}=0\\\\-6d+50=0\\\\d=\dfrac{50}{6}\\\\d=8.34[/tex]
price per share of the stock is maximum when the value of d = 8.34. Put the value of d in equation (1).
[tex]P=-3(8.34)^2+50(8.34)\\\\P=208.333[/tex]
So, the maximum price per share of the stock is 208.333.
Related Questions
She charges an initial fee of $10 for each
rental and an hourly rate of $4. Which of
the equations below shows the amount
y that Rashida charges for a bike rental
that lasts x hours?
A. y=10+4x
B. y=10+4x
C. y=4+10x
D.y=4+10x
Answers
Answer:
A
Step-by-step explanation:
Because the 10 is bigger then the 4 so when you do the math (y) will equal the answer of A which its 14
Answer:
The answer is y=10+4x
Step-by-step explanation:
so because x is represented by hours you dont know how many hours someone rents the bike so x and ten dollars is a set amount so it would stand alone.
if a polynomial is divided by x-5, the quotient is 2x^2 +8x-9 and the remainder is 3 what is the original polynomial?
Answers
Answer:
[tex]P(x)=2x^3-2x^2-49x+48[/tex]
Step-by-step explanation:
Let the original polynomial be [tex]P(x)[/tex].
We know that when it is divided by [tex](x-5)[/tex], the quotient is [tex]2x^2+8x-9[/tex] and we get a remainder of 3.
Therefore, this means that:
[tex]\frac{P(x)}{x-5}=2x^2+8x-9+\frac{3}{x-5}[/tex]
Remember what it means when we have a remainder. Say we have 13 divided by 3. Our quotient will be 4 R1, or 4 1 over 3. We put the remainder over the divisor. This is the same thing for polynomials.
So, to find our original polynomial, multiply both sides by [tex](x-5)[/tex]:
[tex](x-5)\frac{P(x)}{x-5}=(x-5)(2x^2+8x-9+\frac{3}{x-5})[/tex]
The left side will cancel. Distribute the right:
[tex]P(x)=2x^2(x-5)+8x(x-5)-9(x-5)+\frac{3}{(x-5)}(x-5)[/tex]
Distribute:
[tex]P(x)=(2x^3-10x^2)+(8x^2-40x)+(-9x+45)+(3)[/tex]
Combine like terms:
[tex]P(x)=(2x^3)+(-10x^2+8x^2)+(-40x-9x)+(45+3)[/tex]
Evaluate:
[tex]P(x)=2x^3-2x^2-49x+48[/tex]
And we're done!
Explanation:
Let a be the original polynomial
Where a/(x-5) = 2x^2 + 8x - 9 (remainder 3)
a = (2x^2 + 8x - 9)(x-5) + 3
a = 2x^3 - 10x^2 + 8x^2 - 40x - 9x + 45+3
a = 2x^3 - 2x^2 - 49x + 48
I
. During a volleyball training session, Idalie drank twice as much water as Adamaris, and Jonathan
Arank 100 mL more water than Idalie. Between them they drank 3 liters of water. How much water
did Adamaris drink?
Answers
Answer:
Step-by-step explanation:
Let's say I = amount of water Idalie drank,
A = amount of water Adamaris drank
J = amount of water Jonathan drank.
We are told Idalie drank twice as much water as Adamaris. You can write it as:
Idalie = 2 times Adamaris
I = 2A
Then we are told Jonathan drank 100ml more than Idalie. So
Jonathan = 100 + Idalie
J = 100 + I (and we know I = 2A)
J = 100 + 2A
Between them they drank 3 liters (3L = 3000ml) of water.
Idalie + Adalie + Jonathan = 3000
I + A + J = 300
So since we know I = 2A and J = 100 + 2A, we can put it into the equation above:
2A + A + 100 + 2A = 3000
Gather the like terms and you get:
5A + 100 = 3000
Subtract 100 from both sides.
5A = 3000 - 100 = 2900
To find A, divide both sides by 5
A = 2900/5 = 580
This means Adamaris drank 580ml of water
Thx guys (i will vote brainliest)
have an awesome day
djkal;fjkdla;jkdfl;ghkjhkjlhklkjlhkjl
Answers
Answer:
THANKS FOR THE POINTS!!!
Step-by-step explanation:
The area of the circle is 144π m2
What is the diameter of the circle?
Answers
Answer:
Step-by-step explanation:
Remember that
Area of Circle = [tex]\pi r^2[/tex]
[tex]\pi = pi \\r = radius[/tex]
They told us that for this circle, the area is [tex]144\pi m^2[/tex]
If you put it back into the formula for area of a circle we get:
Area of Circle = [tex]\pi r^2[/tex]
[tex]144\pi = \pi r^2[/tex]
Divide both sides by [tex]\pi[/tex].
144 = [tex]r^2[/tex]
Now we want to solve for r (r = radius).
You need to square root each side
[tex]\sqrt{144} = \sqrt{r^2}[/tex]
[tex]12 = r[/tex]
So now we know the radius, [tex]r = 12[/tex] metres
Also remember that
Diameter = [tex]2r[/tex]
So,
Diameter = 2 times 12 = 24 metres
The required diameter of the given circle is 24 meters.
What is an area circle?The area of the circle is given by the pie times square of the radius.
Area of circle = πr^2
Here,
The given area of the circle is 144π m²
And we know that,
Area = πr²
substitute the value of the area in the above expression,
144π = πr²
r² = 144
r = √144
r = 12 meters
Since,
Diameter = 2 × radius
Diameter = 2 × 12 = 24 meter
Thus, the required diameter of the given circle is 24 meters.
Learn more about circle here:
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Erick ran 3 miles in 20 minutes. What was Erick’s average speed?
Answers
Jerome hiked three-fourths of a mile in two-thirds of an hour. What was his hiking speed in miles per hour?
Answers
The value of his hiking speed in miles per hour will be;
⇒ Speed = 9/16 miles per hour
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Jerome hiked 3/4 of a mile in 2/3 of an hour.
Now,
Since, Jerome hiked 3/4 of a mile in 2/3 of an hour.
Hence, We can formulate;
⇒ Speed = Distance / Time
⇒ Speed = 3/4 / 2/3
⇒ Speed = 3×3 / 4×4
⇒ Speed = 9/16 miles per hour
Thus, The value of his hiking speed in miles per hour will be;
⇒ Speed = 9/16 miles per hour
Learn more about the mathematical expression visit:
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Name 21 and 22 another way.
Answers
Answer:
B
Step-by-step explanation:
set of whole numbers from 1 to 15 set a all even numbers in the set
Answers
Answer: 2,4,6,8,9,10,12,14.
Step-by-step explanation:might wanna double check that just incase
The Set of whole numbers from 1 to 15 set a all even numbers are: x=2or x=4 or x=6 or x=8 or x=10 or x=12 or x=14
Even numbers are digits that can be divided by 2
Hence th,e whole numbers from 1 to 15 set a all even numbers in the set are :
2, 4, 6, 8, 10, 12, 14
x=2 or x=4 or x=6 or x=8 or x=10 or x=12 or x=14
Inconclusion The Set of whole numbers from 1 to 15 set a all even numbers in the set are: x=2 or x=4 or x=6 or x=8 or x=10 or x=12 or x=14=14
Learn more here:
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What is the sum of (3/8x-2) +(1/8x-5)
Answers
Answer:
1/2x-7
Step-by-step explanation:
Add 3/8x and 1/8x to get 4/8x which is the same as 1/2x
Then add the integers: -2 + -5 = -7
what is the simplification for this ? 2y+3=4y+2
Answers
Answer:
2y-1
Step-by-step explanation:
Answer: y = 1/2 in decimal form = 0.500
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
2*y+3-(4*y+2)=0
olve : -2y+1 = 0
Subtract 1 from both sides of the equation :
-2y = -1
Multiply both sides of the equation by (-1) : 2y = 1
Divide both sides of the equation by 2:
y = 1/2 = 0.500
what do these signs mean
² ³ √ ∛ · ≈ ≠ , ≡ ≅ ⇒ ⇔ ∈ ∉ ∧ ∨ ∞ α β Δ π Ф ω ↑ ↓ ∵ ∴ ↔ → ← ⇵ ⇅ ⇄ ⇆ ∫ ∑ ⊂ ⊃ ⊆ ⊇ ⊄ ⊅ ∀ ∝ ∦ ║ ⊕ ¬ ∅ ∩ ∪ ⊥ ∡ ∠ ° ∞ ㏒ ㏑
if you can answer this i will name you the brainiest
Answers
:-) :-( ;-) :-P (^o^) ^o^ ^_^ :-! 8-) :-{ :-[ (-:
or
that is not an exercise. but still thanks for the points.
Ruben bought 666 comic books for \$21$21dollar sign, 21. Each comic book was the same price.
what was the cost for 1 comic book
Answers
9514 1404 393
Answer:
$3.50
Step-by-step explanation:
If c represents the cost of one comic book, the transaction can be written as the equation ...
6c = $21
Dividing by 6, we get ...
c = $21/6 = $3.50
The cost for 1 comic book was $3.50.
_____
You know that the total cost of a transaction is the sum of the costs of each part. When all the parts have the same value, we can multiply the cost of one part by the number of parts.
Answer:
3.50
Step-by-step explanation:
Show an example of a multi-step equation with an answer of 0.
Answers
Step-by-step explanation:
50-10 x 2-40-30 x 6-60=0
PLEASE PLEASE ANSWER I WILL MARK AS BRAINLIST HELP
Answers
Answer:
1/4 × 1/21/8Step-by-step explanation:
1/4 ÷ 2 = 1/4 × 1/21/4 × 1/2 = 1/8I hope this helps!
Cars are made in a factory for 24 hours every day.
In the factory a car is made every 209 seconds.
Work out an estimate for the number of cars made in the factory in one year.
Answers
Answer:
6,591,024,000
Step-by-step explanation:
Minutes in 24 hours=1,440
number of seconds in 24 hours=60*1440
=86,400..
number of cars made in each second=209
number of cars made in 86,400 seconds= 18,057,600
24 hours =one day
1 year =365 days
cars made in one year =365*18,057,600
=6,591,024,000
therefore, the number of cars made in one year =
6,591,024,000
The number of cars made in the factory in one year where cars are made for 24 hours every day is 150891.
What is the relation between work and time?The total time taken is inversely proportional to the rate of work. If a unit of work is done in total n number of days, then the total work done W in a day can is,
[tex]W=\dfrac{1}{n}[/tex]
In a factory, cars are made, where Cars are made for 24 hours every day. As, there is total 60 seconds in one minute and 60 minutes in one hour. Thus, the number of second in 24 hours is,
[tex]24\times60\times60=86400[/tex]
In the factory, a car is made every 209 seconds. Thus, the number of cars made in 86400 seconds (24 hours),
[tex]\dfrac{86400}{209}=431.4[/tex]
There is total 365 days (24 hours) in one year. Thus, the number of cars made in the factory in one year is,
[tex]431.4\times365=150891[/tex]
Thus, the number of cars made in the factory in one year where cars are made for 24 hours every day is 150891.
Learn more about the work and time here;
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If f(x) = (1/(x-3)) and g(x) = x2 – 3x, then (f + g)(1) =
then (+3)(1) -
A. 1
B. (-5/2)
C. 0
D. (-3/2)
E. (3/2)
Answers
help, please !!!!!!!!
Answers
Answer:
The answer is 24
Step-by-step explanation:
7^2 + b^2 = 25^2
49 + b^2 = 625
b^2 = 576
b = 24
Please send the answer. Anyone.
Answers
Answer:
god will help u
Step-by-step explanation:
n²-3n+10=0
n²-3n+10=0
Answers
No real solutions.
there is none
Answer:
Step-by-step explanation:
Find AB. Please please hurry
Answers
Answer:
i pick my answer as 3
Step-by-step explanation:
7-4=3
Answer:
11
Step-by-step explanation:
A is -7 and b is -4 if you add them it would be positive 11 because a negative plus a negative is a positive. Here's this to keep in mind:
+(+) Two like signs become a positive sign 3+(+2) = 3 + 2 = 5
−(−) 6−(−3) = 6 + 3 = 9
+(−) Two unlike signs become a negative sign 7+(−2) = 7 − 2 = 5
−(+) 8−(+2) = 8 − 2 = 6
apparently this was supposed to be easy but idk-
Answers
Answer:
B
Step-by-step explanation:
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You need a loan of $110 comma 000 to buy a home. Calculate your monthly payments and total closing costs for each choice below. Briefly discuss how you would decide between the two choices. Choice 1: 15-year fixed rate at 6% with closing costs of $1200 and no points. Choice 2: 15-year fixed rate at 5.5% with closing costs of $1200 and 4 points.
What is the monthly payment for choice 1? $
(Do not round until the final answer. Then round to the nearest cent as needed.)
Answers
Answer:
Monthly payment for choice 1 is $6,600
Step-by-step explanation:
We will use following formula in order to calculate the monthly payment of choice 1
Value of Loan = Monthly payment x ( 1 - ( 1 + Interest rate )^-numbers of payments / interest rate
Where
Value of Loan = $110,000
Interest rate = 6%
Numbers of Payment = 15 years x 12 payments / year = 180 payments
Placing values in the formula
$110,000 = Monthly payment x ( 1 - ( 1 + 6% )^-180 ) / 6%
$110,000 = Monthly payment x 16.6662
Monthly Payment = $110,000 / 16.6662
Monthly Payment = $6,600.18
Monthly Payment = $6,600 (Rounded to whole number)
will give brainliest
Answers
Answer:
Pain Pain Pain Pain Pain now where is my brainliest you promised me
Step-by-step explanation:
20=5x-13=6x what is x equaled to
HELP ASAP
Answers
20=5x-13+6x
We move all terms to the left:
20-(5x-13+6x)=0
We add all the numbers together, and all the variables
-(11x-13)+20=0
We get rid of parentheses
-11x+13+20=0
We add all the numbers together, and all the variables
-11x+33=0
We move all terms containing x to the left, all other terms to the right
-11x=-33
x=-33/-11
x= 3
Answer:
3
Step-by-step explanation:
First, write the equation.
20=5x-13+6x Combine like terms on the right side.
20=11x-13 Add 13 on both sides.
+13 +13
33=11x Divide both sides by 11.
/11 /11
3=x
Hope this helps!! Have a wonderful day :3
What is the y-intercept of y = 1/7x - 10?
10
7
1/7
-10
Answers
Answer:
The slope is "9". See, you have a line of y = 7 and any time you have an equation where y equals a number, you are going to have a horizontal line. In every horizontal line, the slope is 0.
Step-by-step explanation:
Which equations are true for x = -2 and x = 2? Select two options
x2 - 4 = 0
x2 = 4
3x2 + 12 = 0
4x2 = 16
O2(x - 2)2 = 0
Answers
Answer:
A, D
Step-by-step explanation:
EDGE 2021
how do you find the quotient of positive and negative decimals?
Answers
Answer:
When you divide a negative number by a positive number then the quotient is negative. When you divide a positive number by a negative number then the quotient is also negative.
Step-by-step explanation:
Hehe sooo I kinda need help bakugo won't help me..
Answers
Answer:
-8/3 or -2 2/3
Step-by-step explanation:
You would change 4 to 4/1 and then set up the equation
4/1 x -2/3
4x-2=-8
1x3=3
you would then get -8/3 which is then turned into -2 2/3
(sorry i love multiplying and dividing fractions lol)
Answer:
SHI.TTY HAIR YOU DONT NEED HELP YOUR SMARTER THAN DENKIII
Step-by-step explanation:
help please i don’t understand and this is do today :/!!
Answers
Answer:
You are right . They are not the same