A company has found that the number of items sold, x, depends upon
the price, p at which they're sold, according the equation
X=14400-3p^2
The price has been increasing by $2 per month. Find the rate at which
revenue is changing when the price is $40. Note: the answer might be
negative
Answers
Answer: -$480
Step-by-step explanation:
The revenue us P*x
now, when P = $40, we have:
X = 14400 - 3*40^2 = 9600
then the revenue is:
9600*$40 = $384000
now, the price increaces by $2 so the new equation is:
X = 14400 - 3*42^2 = 9108
The revenue is:
9109*$42 = $382536
You can see that the revenua is smaller than before.
Now, if we want to calculate the rate of change when p = $40, we need to look at X'(40)
this is:
X´(p) = -3*2*p
then:
X'(40) = -3*2*40 = -120
Theh rate of change of the revenua will be:
X'(40)*$40 = -120*$40 = -$480
Related Questions
What is x^2 -11x+19=-5 as standard form?
Answers
Answer:
Standard Form; x^2 - 11x + 24 = 0
Step-by-step explanation:
Simplify rewrite such that the quadratic equation has 0 isolated on the right or left side, most commonly right side;
x^2 - 11x + 19 = - 5 ⇒ Add 5 on either side of equation,
Standard Form; x^2 - 11x + 24 = 0
There are 70,000 bacteria present in a culture. An antibiotic is introduced to the culture and the number of bacteria is reduced by half every 4 hours. Which of the following statements are true? Select all that apply.
A.) two hours after the antibody is introduced , there are 35000 bacteria present in the culture
B.) 24 hours after the antibiotic is introduced , the number if bacteria in the culture is reduced to 1093
C.) the number of present in the culture during the 24 hours after the the antibiotic is introduced is an example of exponential decay
D.) the half-life of the bacteria after the antibiotic is introduced is 2 hours
E.)the function B(x)=70000(0.5)^x where x is the number of 4 hour periods represents the amount of bacteria present after the antibiotic is introduced
Answers
Answer:
c
Step-by-step explanation:
the number of bacteria is introduced
The function B(x) = 70000(0.5)ˣ, where x represents the number of 4 hour periods, represents the amount of bacteria present after the antibiotic is introduced. Therefore, option D is the correct answer.
What is the exponential function?Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).
In any situation where an amount grows or declines by a set percent every time period can be represented using an exponential function. Since the amount of bacteria is reduced by half, or 50%, every 4 hours, this is exponential decay.
Exponential functions such as this are of the form
y = a(1+r)ˣ, where a represents the initial population, r is the percent of growth or decrease, and x is the number of time periods. In this situation, the initial population, a, is 70000. Since the number of bacteria decreases by half, r = -0.50. This gives us
y = 70000(1+-0.50)ˣ, or y = 70000(0.50)ˣ.
In 24 hours, there are 6 4-hour periods. This means x = 6; this gives us
y = 70000(0.50)⁶ = 1093.75.
Therefore, option D is the correct answer.
Learn more about the exponential function here:
brainly.com/question/11487261.
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A car odometer showed 6,437.5 miles at the end of a trip. How many miles did the odometer show at the beginning of the trip if the car was driven 422.3 miles?
Answers
Answer:
The odometer showed 6,015.2 miles at the beginning of the trip.
Step-by-step explanation:
The odometer increases according to the number of miles traveled.
Before the trip, it showed x miles.
During the trip, the car was driven 422.3 miles.
After the trip, it showed 6,437.5 miles.
So
x + 422.3 = 6437.5
x = 6437.5 - 422.3
x = 6,015.2
The odometer showed 6,015.2 miles at the beginning of the trip.
In a classroom of 20 students, 70% of them have brown eyes. If a teacher picks two students
at random to pass out supplies, what is the probability he chooses two students without brown
eyes?
49
A)
100
B)
91
190
3
C)
38
9
D)
100
Answers
Answer:
The probability is 9/100
Step-by-step explanation:
First, we know that 70% of the students are with brown eyes. Since we have a total of 20 students, this corresponds to 70/100 * 20 = 14 students
The number of students without brown eyes is thus 20 -14 = 6 students
Now, the probability of selecting a student without brown eyes is 14/20 = 7/10 while the probability of selecting a student with brown eyes is 6/20 = 3/10
Now the probability of selecting two students without brown eyes mean, the first selected is without brown eyes and also the second selected is without brown eyes.
In probability, once we have the work and, we multiply.
So our answer here is 3/10 * 3/10 = 9/100
if you toss a cube with the numbers 1-6 on it, what is the probability of rolling 7?
Answers
Answer:
0
Step-by-step explanation:
There is no 7
Answer:
0 percent probability
Since the dice only has six numbers it will never roll a 7
Ben I love kids then with a speed of 51 miles per hour Melanie also left at the same time in the opposite direction at a speed of 42 my husband our find how many hours mowing must travel to of course they are 360 miles apart
Answers
Answer:
Time when Ben and Melanie are 360 miles apart = 3.871 hours.
Step-by-step explanation:
The question seems unclear, but the sense that could be made from this question is that
Ben leaves with a speed of 51 miles per hour and Melanie also left at the same time in the opposite direction at a speed of 42 miles per hour. My husband wants to find how many hours they both must have been moving to be 360 miles apart.
Let the required time be t.
Let the distance covered by Ben in t hours be x miles.
Let the distance covered by Melanie in t hours be y miles.
Total distance covered = x + y = 360 (eqn 1)
speed = (distance/time)
For Ben
51 = (x/t)
x = (51t) miles
For Melanie
42 = (y/t)
y = (42t) miles
Substituting for x and y in eqn 1
x + y = 360
51t + 42t = 360
93t = 360
t = (360/93) = 3.871 hours.
Ben would have travelled x = 51t = 51 × 3.871 = 197.42 miles
Melanie would have travelled y = 42t = 42 × 3.871 = 162.58 miles
Hope this Helps!!!!
4400 dollars is placed in an account with an annual interest rate of 8.25%. How much will be in the account after 22 years, to the nearest cent?
Answers
Answer:20000000
Step-by-step explanation:
Which of the following values are solutions to the inequality 1+5x<4?
I.6
II.5
III.2
Answers
Answer:
x < .6
Step-by-step explanation:
1+5x<4
Subtract 1 from each side
1-1+5x<4-1
5x<3
Divide each side by 5
5x/5 <3/5
x < .6
I need help with these plzzz
Answers
Answer:
1. C 2. B
Step-by-step explanation:
1. find the total circumference, d times pi, then put 42 over 360 and multiply them to get that section
2. The actual value of x is 33.2
So I plugged in that value for all of them
Given that x+1 is a factor of 2x^3-3x^2-8x-3 , solve 2x^3-3x^2-8x-3=0. This means find all the roots for the function.
Answers
Answer:
x=-1, -1/2, 3
Step-by-step explanation:
Can someone tell me if I’m right? I put the 80 under 8
And the rule is 3, if I’m wrong please help me
Answers
Answer:
80
4
Step-by-step explanation:
You are correct in placing 80 in the box in the table. If you examine the table and the pattern, you'll see that as the number of marbles increases by 10, the weight of the bags increases by 40.
We can determine the rule by dividing 40 by 10: 40 ÷ 10 = 4.
So, the rule is actually to divide the weight of the bag by 4 to find the number of marbles.
Note that this is likely because each marble is 4 grams.
Answer:
No, the answer is to divide by 4
Step-by-step explanation:
You're so close, but if you look closely 320/3=106.67. However, 320/4=80. And if you look at the other choices, it applies to all of them. 40/4=10 , 80/4=20 , 120/4=30 , and 160/4=40.
Hope this help!!!
If nine coins are flipped, what is the probability of obtaining at least one head?
Answers
Answer:
the chance of getting at least 1 head is 99.8%.
Step-by-step explanation:
Since the chance to head is a %.5 chance, then thats the variable. There is 9 of those , and then mulitply that then subtract from one.
i need help asap! anyone know this?
Answers
Answer:
1 = 0
12x12 = 4
100=1
I think the last one is also 1
Step-by-step explanation:
The 8 in both sides gets cancelled out.
x=0
100^x=100
The hundred in both sides gets cancelled out.
x=1
12^x times 12^4=12^8
When the bases (numbers) are same and are multiplied together, you add the powers together.
12^x+4=12^8
The 12 in both sides get cancelled out.
x+4=8
x=8-4
x=4
(7^2)^9=7^3)^x
When there are powers both inside and outside the brackets, they’re multiplied with each other.
7^18=7^3x
The seven in both sides gets cancelled out.
18=3x
3x=18
x=18/3
x=6
Find the value of e/a. Just read the variables and numbers.
(50 points)
Answers
Answer:
35
Step-by-step explanation:
Determine if the question posed is a statistical question (yes) or not (no). What is 2 plus 2?
Answers
Answer:yes?
Step-by-step explanation:
it has #s in it lol
Answer:
no it isnt
Step-by-step explanation:
Two gongs strike at intervals of 24 and 40minutes respectively. At twist time will they strike together again if they start simultaneously at 12 noon? Hint: 60 minutes = 1 hour
Answers
Answer:
They will sound together at 2pm
Step-by-step explanation:
Now, the first thing we need to calculate is , in how many minutes will the two gongs strike together.
To be able to do this, we need to calculate the least common multiple of the two numbers 24 and 40
The lowest common multiple between both is 120
This means that the two gongs will sound together at exactly 120 minutes
Now since 1 hour is 60 minutes, this means that 120 minutes will be = 120/60 = 2 hours
Since they both sounded together at 12 noon and the next time they will be sounding is next two hours, their sounding time will thus be 12 noon + 2 hours = 2 pm
What is the slope of the equation y = 3.5x – 17?
Answers
Answer:
3.5
Step-by-step explanation:
y = 3.5x – 17
This is in the slope intercept form
y= mx+b where m is the slope and b is the y intercept
The slope is 3.5
What are the domain, range, and asymptote of h(x) = 6x – 4? domain: {x | x is a real number}; range: {y | y > 4}; asymptote: y = 4 domain: {x | x is a real number}; range: {y | y > –4}; asymptote: y = –4 domain: {x | x > –4}; range: {y | y is a real number}; asymptote: y = 4 domain: {x | x > 4}; range: {y | y is a real number}; asymptote: y = –4
Answers
Answer:
Step-by-step explanation:
The domain of a function is the set for which the function is defined. Our function is the function [tex]h(x) = 6x-4[/tex]. This function is defined regardless of the value of x, so it is defined for every real value of x. That is, it's domain is the set {x|x is a real number}.
The range of the function is the set of all possible values that the function might take, that is {y|y=6x-4}. Recall that every real number y could be written of the form y=6x-4 for a particular x. So the range of the function is the set {y|y is a real number}.
Note that as x gets bigger, the value of 6x-4 gets also bigger, then it doesn't approach any particular number. Note also that as x approaches - infinity, the value of 6x-4 approaches also - infinity. In this case, we don't have any horizontal asymptote. Since the function is defined for every real number, it doesn't have any vertical asymptote. Since h is a linear function, it cannot have any oblique asymptote, then h doesn't have any asymptote.
Answer:
the answer is b
Step-by-step explanation:
Which figure is not drawn to the scale. PQ and MN are straight lines. Find
Answers
please Help it’s urgent
Answers
Answer:
Angle IAJ
Step-by-step explanation:
X idea again. They are opposite to each other in the immediate area around them.
What is the value of x in the equation 8 + 4 = 2(x - 1)?
a
13/2
b
5
c
7
d
11/2
Answers
Answer:
Step-by-step explanation:
The area of a garden is (x² + 7x + 10)
square yards. Find the dimensions of the
garden if x= 14.
Answers
Answer:
The dimensions are approximentaly 17.44.
Step-by-step explanation:
= x2 + 7x + 10
= 196 + 7x + 10
= 196 + 98 + 10
= 294 + 10
= 304 yards squared
The dimensions of the garden if x= 14 will be approximately 17.44.
What is the area of a square?The area of a square can be calculated as the square of the sides of a given figure.
The area of a square = [tex]side^{2}[/tex]
The area of a garden= (x² + 7x + 10)
= 196 + 7(14) + 10
= 196 + 98 + 10
= 294 + 10
The area of a garden= 304 yards squared
The area of a garden = side × side
√ 304 = side
side = 17.44 yards
Thus, the dimensions of the garden if x= 14 will be 17.44 yards.
Learn more about the area;
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pls helllllllllllllp
Answers
Answer:
40
Step-by-step explanation:
24 divided by = 8
8 times 5 = 40
can i have brainliest please
Answer:
40
Step-by-step explanation:
there is a 5 to 3 ratio for ice cream cones to brownies
ice cream: brownies
5:3
x:24
three times eight is 24
five times eight is 40
The ratio of the leg opposite to an angle to the leg adjacent to the angle in a right
triangle is called the ___ of the angle.
A. sine
B. tangent
C. cotangent
D. secant
Answers
Answer:
the answer is b. tangent
Step-by-step explanation:
The ratio of the leg opposite to an angle to the leg adjacent to the angle in a right triangle is called the tangent of the angle.
On which triangle can we apply trigonometric ratios?The trigonometric ratio can be defined in terms of ratios of perpendicular, bases, and hypotenuse.
Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.
In a right-angled triangle, two such angles are there which are not right-angled(not of 90 degrees).
The slanted side is called the hypotenuse.
From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called the base.
The tangent of the angle is
[tex]\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}[/tex]
Learn more about trigonometric ratios here:
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Georgianna wants to use the linear model associated with the data in the table to make a prediction.
A 2-column table with 5 rows. The first column is labeled time (minutes) with entries 0, 5, 10, 15, 30. The second column is labeled distance (miles) with entries 0, 4, 9, 13, 18.
Which range of time values describes the entire interval over which she would be interpolating?
0 to 5 minutes
0 to 18 minutes
0 to 30 minutes
18 to 30 minutes
Answers
Answer:
0 to 30 minutes on edg.
Step-by-step explanation:
Answer:
c on e 2020
Step-by-step explanation:
Neal and Abel are mountain biking on a 35-mile trail. Their rides are represented by these equations. Abel: d = 14t, Neal: d = 11t + 6 How many hours will the boys have travelled when they are at the same point on the trail? hours
Answers
Answer:
The boys would have traveled two hours to be at the same point on the trail
Step-by-step explanation:
At the same point on the trail, the two boys would have traveled the same distance.
What this means is that the distance traveled by Neal would be equal to the distance traveled by Abel
Thus, we equate the equation of thur distances.
That would be;
14t = 11t + 6
14t -11t = 6
3t = 6
t = 2 hours
Answer:
2
Step-by-step explanation:
EMERGENCY!!!! EXTRA POINTS! I HAVE POSTED THIS QUESTION 5 TIMES AND HAD TO REPORT ALL RESPONSES! I ACTUALLY NEED HELP!
The amusement park in Riverdale charges a $10 entrance fee plus $1 per ride. The amusement park in Esterdamb charges a $5 entrance fee and $2 per ride. For how many rides will the cost be the same for both amusement parks? x= # of rides
Number of rides_____?
Cost_____?
Answers
Answer:
the price will be the same for either amusement park
Step-by-step explanation:
10+1(x)=?
5+2(x)=?
ex; x=5
10+1(5)= 5+2(5)=
10+5= 5+10=
15 15
Answer:
5 rides, cost of $15
Step-by-step explanation:
With the information given we have two expressions:
10 + 1x and 5 + 2x
Using these expressions we can create this equation:
10 + 1x = 5 + 2x
Knowing some information we can can simply analyze some information:
The closest number each of these equations could equal is 15,
1(5) is 5 + 10 = 15, and 2(5) is 10 + 5 = 15
15 = 15 this is a true statement, so we know this is answer
Hope this helps! Have a good day!
Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -36 and 2304, respectively.
Answer Choices:
A) an = 9 • 4n
B) an = 9 • (-4)n + 1
C) an = 9 • 4n - 1
D) an = 9 • (-4)n - 1
Answers
what is the answer for this question below
7 (4u – 2v + w)
Answers
Answer:
28u-14v+7w
Step-by-step explanation:
Answer: 28u−14v+7w
Step-by-step explanation:
Hope that helps
What is the radius and diameter of the following circle?
111 cm
Radius
cm
Diameter =
cm
Answers
Answer:
Diameter = 212 cm
Step-by-step explanation:
D= 2r
