Since the angle is in quadrant 2, the sine will be pοsitive. Therefοre, the value οf sin 0 is: sin 0 = 0.8
What is Trigοnοmetry?Trigοnοmetry is a branch οf mathematics that deals with the relatiοnships between the sides and angles οf triangles. It is used tο study and sοlve prοblems invοlving triangles, especially right triangles.
Since cοsine is negative and the angle is in quadrant 2, we knοw that the sine will be pοsitive. We can use the Pythagοrean identity tο find the value οf sine:
sin²θ + cοs²θ = 1
Substituting the value οf cοsine, we get:
sin²θ + (-6/10)² = 1
Simplifying, we get:
sin²θ + 36/100 = 1
sin²θ = 1 - 36/100 = 64/100 = 0.64
Taking the square rοοt οf bοth sides, we get:
sin θ = ±0.8
Since the angle is in quadrant 2, the sine will be pοsitive. Therefοre, the value οf sin 0 is:
sin 0 = 0.8
To learn more about Trigonometry from the given link
https://brainly.com/question/24349828
#SPJ1
PLEASE HELP MEEEE I NEEED HEELPPPPP
Answer:
I think its (C) - 2/3
WHAT IS THE ANSWER?
HELP ME PLeese
Answer:
Step-by-step explanation:
Shirley's water bottle is half full. She pours
it into another bottle that is one-third full,
and it fills that bottle. If the second bottle
holds 2 quarts, how much did the first
bottle hold?
Answer:
Shirley's water bottle holds 4 quarts when it is half full.
Step-by-Step-Explanation
If the second bottle is one-third full and holds 2 quarts, then it means that it can hold a total of 2 / (1/3) = 6 quarts when completely full.
Let's call the amount of water in Shirley's bottle "x" quarts. We know that when she pours it into the second bottle, it becomes completely full with 6 quarts. So we can set up the equation:
x + 2 = 6
Solving for x, we get:
x = 6 - 2
x = 4
16. The population of the United States in July of 2000 was 282.2 million people. A year later in July of 2001
the population was 284.8 million.
Find an exponential model, in the form of P(t)= a(b)', that models the population of the United States in
millions of people. The variable t represents the number of years since July of 2000. Round your value of b
to the nearest thousandth.
Step-by-step explanation:
284.8 = 282.2 ( b)^1 1 is the number of years....looking for 'b'
284.8 / 282.2 = b = ~ 1.009
P(t) = 282.2 ( 1.009)^t where P(t) is in millions and :
The variable t represents the number of years since July of 2000. Round your value of b to the nearest thousandth.
gcf of 17,22, and 46
Answer:
1
Step-by-step explanation:
17 is a prime number, so only 1 and 17 are its factors. 17 is not a factor of either 22 or 46, but 1 is.
There are 70 students traveling to a soccer tournament. All of the vans can take 9 students each. How many vans are needed to take all of the students to the tournament?
Answer:
They need 8 vans.
Step-by-step explanation:
8 × 9 is 72. If you have 8 vans that carry 9 students each, you will have room for 72 students. Then you have enough room for 70 students.
If you only have 7 vans you can only transport 7 × 9, or 63 students. That is not enough. They need 8 vans.
(a) Assume that the carrying capacity for the US population is 800 million. Use it and the fact that the population was 282 million in 2000 to formulate a logistic model for the US population. (Let t = 0 correspond to the year 2000. Use k for your constant.
P(t) = _____ millions
(b) Determine the value of k in your model by using the fact that the population in 2010 was 309 million.
k= _____
(c) Use your model to predict the US population in the years 2100 and 2300.
year 2100:
million
year 2300:
million
(d) Use your model to predict the year in which the US population will exceed 600 million.
By looking at the logistic model of US population, it can be said that the population will exceed 600 million by the year 2148.
(a) The logistic model for the US population is given by P(t) = (C/1 + Ae^(-kt)), where C is the carrying capacity, A is a constant, k is a constant, and t is time. Given that the carrying capacity for the US population is 800 million and the population was 282 million in 2000, we can formulate the logistic model as follows:
P(t) = (800/1 + Ae^(-kt))
To find the value of A, we can plug in the initial conditions. Let t = 0 correspond to the year 2000 and P(0) = 282:
282 = (800/1 + Ae^(0))
282 = (800/A + 1)
A = (800/282) - 1
A = 1.84
Therefore, the logistic model for the US population is:
P(t) = (800/1 + 1.84e^(-kt))
(b) To determine the value of k in the model, we can use the fact that the population in 2010 was 309 million. Let t = 10 correspond to the year 2010 and P(10) = 309:
309 = (800/1 + 1.84e^(-10k))
1.84e^(-10k) = (800/309) - 1
e^(-10k) = 0.593/1.84
-10k = ln(0.593/1.84)
k = -0.076
Therefore, the value of k in the model is k = -0.076.
(c) To predict the US population in the years 2100 and 2300, we can plug in the values of t = 100 and t = 300 into the model:
P(100) = (800/1 + 1.84e^(-100(-0.076))) = 535.7 million
P(300) = (800/1 + 1.84e^(-300(-0.076))) = 762.2 million
Therefore, the predicted US population in the year 2100 is 535.7 million and in the year 2300 is 762.2 million.
(d) To predict the year in which the US population will exceed 600 million, we can set P(t) > 600 and solve for t:
(800/1 + 1.84e^(-kt)) > 600
1.84e^(-kt) < (800/600) - 1
e^(-kt) < 0.333/1.84
-kt < ln(0.333/1.84)
t > -ln(0.333/1.84)/k
Using the value of k from part (b), we get:
t > -ln(0.333/1.84)/(-0.076) = 147.7
Therefore, the population of US will exceed 600 million by the year 2148.
To know more about Logistic Model, click on the link below :
https://brainly.com/question/20363984#
#SPJ11
The height, h, in feet of a ball suspended from a spring as a function of time, t, in seconds can be modeled by the equation h = 3 sine (StartFraction pi Over 2 EndFraction (t + 2)) + 5. Which of the following is the graph of this equation?
On a coordinate plane, a curve crosses the y-axis at (0, 5). It increases to (2, 8), and then decreases to (6, 2).
On a coordinate plane, a curve crosses the y-axis at (0, 8). It decreases to (4, 2), and then increases to (8, 8).
On a coordinate plane, a curve crosses the y-axis at (0, 5). It increases to (1, 8), and then decreases to (3, 2).
On a coordinate plane, a curve crosses the y-axis at (0, 5). It decreases to (2, 1), and then increases to (3, 8).
The coordinate plane of curve crosses the y-axis at (0, 5), it increases to (2, 8), and then decreases to (6, 2). The graph of the equation, shown below.
What is the term graph means?The term "graph" can refer to a visual representation of data or information, typically in the form of a diagram or chart. Graphs can be used to show relationships or patterns between different sets of data.
For the given equation,
[tex]h=3Sin [\frac{\pi }{2} (t+2)] +5[/tex]
Follow the steps for drawing the graph,
Choose a range of values for t that we want to graph. Since the period of the oscillation is 2 seconds, we can choose a range of t values that spans one or more full periods of the oscillation.Substitute each t value into the equation to find the corresponding h value. For example, when t = 0,[tex]h = 3 Sin [\frac{\pi }{2} (0 + 2)] + 5 = 3 Sin [\pi] + 5 = 5[/tex]
This means that when the ball is at the midpoint of its oscillation (i.e., at time t = 0), its height is 5 feet above the equilibrium position.
Plot the (t, h) pairs as points on a graph, with t values on the x-axis and h values on the y-axis.Connect the plotted points with a smooth curve to create the graph of the equation.The coordinate plane of curve crosses the y-axis at (0, 5), it increases to (2, 8), and then decreases to (6, 2).Using these steps, we can create the graph of the equation, which looks like the below diagram.
To know more about function, visit:
https://brainly.com/question/11624077
#SPJ1
2.22 consider flipping coins until either two heads hh or heads then tails ht/th first occurs. by conditioning on the first coin toss, find the probability that ht/th occurs before hh.
The probability that ht/th occurs before hh, given that the first coin toss is H or T, is 1/4.
To find the probability that ht/th occurs before hh, by conditioning on the first coin toss is as follows: The sample space can be represented as T or H. 1) If the first toss is a T, then the following toss should be an H to obtain the sequence ht, which is what we want. The probability of this event is 1/2. If the second toss is T, we get the sequence tt, and the process repeats.
2) If the first toss is an H, then we need to obtain the sequence th. The probability of this event is 1/2. If we obtain the sequence hh, the process repeats. We now have two cases that must be considered: case 1: If the first toss is a tail, then the probability that ht occurs before hh can be calculated as follows:
P(ht occurs before hh|first toss is a T) = P(ht occurs before hh|TT)P(TT)+ P(ht occurs before hh|HT)P(HT)= 0 * 1/4 + (1/2) * 1/2= 1/4Therefore, the probability of ht occurring before hh, given that the first toss is a T, is 1/4. case 2: If the first toss is an H, then the probability that ht occurs before hh can be calculated as follows:
P(ht occurs before hh|first toss is an H) = P(ht occurs before hh|TH)P(TH)+ P(ht occurs before hh|HH)P(HH)= (1/2) * 1/2 + 0 * 1/2= 1/4Therefore, the probability of ht occurring before hh, given that the first toss is an H, is 1/4. Therefore, the probability that ht occurs before hh, given that the first coin toss is H or T, is 1/4.
To know more about probability, refer here:
https://brainly.com/question/30034780#
#SPJ11
There are N people, numbered from 0 to N-1, playing a game. The K-th person is assigned the letter S[K]. At the beginning the 0th person sends a message, consisting of a single letter S[0], to the A[0]-th person. When the K-th person receives the message, they append their letter S[K] to the message and forward it to A[K]. The game ends when the 0th person receives the message. Find the final message
The final message would be "ABCE"
It prompts the user to enter the number of people (N), the letters assigned to each person (S), and the forwarding indices (A).
It initializes a message array with the first letter (S[0]).
It follows the forwarding chain until it reaches the 0th person. For each person K in the chain, it appends the corresponding letter (S[A[K]]) to the message.
It terminates the message with a null character (\0) and prints the final message.
The C program will be:
#include <stdio.h>
#include <stdlib.h>
#define MAX_N 100
int main() {
char S[MAX_N];
int A[MAX_N];
int N, K;
printf("Enter the number of people (N): ");
scanf("%d", &N);
printf("Enter the letter assigned to each person:\n");
for (K = 0; K < N; K++) {
printf("S[%d]: ", K);
scanf(" %c", &S[K]);
}
printf("Enter the forwarding indices:\n");
for (K = 0; K < N; K++) {
printf("A[%d]: ", K);
scanf("%d", &A[K]);
}
char message[MAX_N];
message[0] = S[0];
K = 0;
while (A[K] != 0) {
message[K+1] = S[A[K]];
K = A[K];
}
message[K+1] = '\0';
printf("Final message: %s\n", message);
return 0;
}
Learn more about C program here
brainly.com/question/27018455
#SPJ4
What is the correct way to name the following image?
The correct way to name the image is Southwest Vector BA, indicating the direction of the vector from B to A.
How do we name the vector diagram?
Vector BA : This notation indicates that the vector starts at point B and ends at point A, and it is read as "vector B-A" or "B-A vector". The order of the letters reflects the direction of the arrow, from B to A.
Arrow SW or SW arrow: This notation indicates the direction of the vector, which is towards the southwest, and it is read as "arrow southwest" or "southwest arrow". The order of the letters reflects the direction of the vector, from the northwest to the southeast.
Southwest Vector BA : This notation combines both the direction and the points of the arrow, and it is read as "southwest vector B-A" or "B-A southwest vector". The order of the words reflects the direction of the vector, from the northwest to the southeast, and the order of the letters reflects the starting and ending points of the arrow.
Learn more about vector diagram here: https://brainly.com/question/19802988
#SPJ1
work out b-a when a-b=5
(that's the question)
Answer:
b - a = -5
Step-by-step explanation:
I am not sure if I am right, but I am thinking -5
a = 0 and b - -5
a -b = 5
0 - (-5) = 5
5 = 5 If this is true, then
b - a would be
-5 - 0 = -5
-5 = -5
Helping in the name of Jesus.
Answer:
-5
Step-by-step explanation:
We know that a - b = 5,
so to find b - a, we can rearrange this equation as follows:
a - b = 5
a = b + 5
b = a - 5
Therefore, b - a = (a - 5) - a
= -5
So, b - a = -5.
You pick a card at random, put it back, and then pick another card at random.
2
3
4
5
6
What is the probability of picking a 4 and then picking a number greater than 4?
Write your answer as a percentage.
Answer:8%
Step-by-step explanation:Since the cards are put back after each pick, the two picks are independent events.
The probability of picking a 4 on the first pick is 1/5, as there is one card with a value of 4 out of five cards in total.
The probability of picking a number greater than 4 on the second pick is 2/5, as there are two cards with values greater than 4 (5 and 6) out of five cards in total.
The probability of both events occurring (picking a 4 and then a number greater than 4) is the product of the probabilities of each event:
1/5 x 2/5 = 2/25
So the probability of picking a 4 and then picking a number greater than 4 is 2/25.
To express this as a percentage, we can multiply by 100:
2/25 x 100 = 8%
Therefore, the probability of picking a 4 and then picking a number greater than 4 is 8%.
Please help...I have absolutely no idea what Im doing.
By handing the survey to every third person, Kyle used a: 1. nonrandom sampling.
Each student in his class had an unequal chance of being selected to receive the survey.
A statement that best explain why Kyle's survey may be biased is: 3. Two out of every three students entering Kyle's class didn't receive the survey.
What are the types of sampling?In Mathematics and Statistics, there are different types of sampling used by researchers and these include the following;
Stratified sampling.Cluster sampling.Random sampling.Convenience sampling.Systematic sampling.Based on the information provided about the survey conducted by Kyle, we can reasonably infer and logically deduce that a systematic sampling method (nonrandom sampling) was adopted.
Consequently, the survey may be considered as being biased because each student in Kyle's class had an unequal chance of being selected to receive the survey.
Read more on systematic sampling here: https://brainly.com/question/24466382
#SPJ1
g(x) = 4x - 1
f(x) = x + 3
Find (gof)(x/2)
For the function (g o f)(x/2) the value is obtained as 2x + 11.
What is a function?
In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.
The function g(x) is given as g(x) = 4x - 1.
The function f(x) is given as f(x) = x + 3.
To find (g o f)(x/2), we need to first find f(x/2) and then substitute this value into g(x) in place of x.
f(x) = x + 3
So, f(x/2) = (x/2) + 3
Now, substitute this into the equation of g(x) in place of x -
g(x) = 4x - 1
g(f(x/2)) = 4(f(x/2)) - 1
= 4((x/2) + 3) - 1 (substituting f(x/2))
= (4x/2 + 12) - 1
= 2x + 11
Therefore, the value is (g o f)(x/2) = 2x + 11.
To learn more about function from the given link
https://brainly.com/question/2284360
#SPJ1
An African elephant weighs 5,500 pounds. How many ounces is that?
An African elephant weighs 88,000 ounces. To convert pounds to ounces, we need to know the conversion factor between the two units.
There are 16 ounces in one pound, which means we can convert pounds to ounces by multiplying the weight in pounds by 16. A pound is equal to 28 grams. A one-quarter ounce contains seven grams. A half-ounce has 14 grams in it. One-eighth of an ounce has 3.5 grams.
In this case, the African elephant weighs 5,500 pounds. To find out how many ounces that is, we can multiply 5,500 by 16:
5,500 pounds x 16 ounces/pound = 88,000 ouncesTherefore, the African elephant weighs 88,000 ounces.
Learn more about Weights:
https://brainly.com/question/2335828
#SPJ4
Solve the equation:
27 - h = 14
H = [?]
Answer:
h=13
Step-by-step explanation:
have a good day
Answer:
13
Step-by-step explanation:
27-h=14
-h=14-27
-h=-13
To get rid of the negative sign, divide both sides by -1
Therefore h=13
Simplify. Express your answer using positive exponents. m9m4
Answer:
[tex] {m}^{9} {m}^{4} = {m}^{9 + 4} = {m}^{13} [/tex]
Find the sum of the first 8 terms of the following sequence. Round to the nearest hundredth if necessary. 27 , 45 , 75 , . . . 27,45,75,...
The sum of the first 8 terms of the sequence is 720.
What is sequence ?A sequence is a set of numbers that are arranged in a specific order, according to some rule or pattern. Each number in the sequence is called a term, and the position of the term in the sequence is called its index or subscript. Sequences can be either finite or infinite.
According to the given information :We can see that this is an arithmetic sequence with a first term a = 27 and a common difference d = 18. To find the sum of the first 8 terms of the sequence, we can use the formula for the sum of an arithmetic sequence:
Sn = n/2[2a + (n-1)d]
where Sn is the sum of the first n terms, a is the first term, d is the common difference, and n is the number of terms.
Plugging in the values we know, we get:
S8 = 8/2[2(27) + (8-1)(18)]
= 4[54 + 126]
= 4(180)
= 720
Therefore, the sum of the first 8 terms of the sequence is 720.
To know more about sequence information :
https://brainly.com/question/12246947
#SPJ1
Find value of x in simplest form
The value of x in its simplest form is x = 67√2 = 94.75.
What is sine function?The sine function in trigonometry is the ratio of the hypotenuse's length to the opposite side's length in a right-angled triangle. To determine a right triangle's unknown angle or sides, utilise the sine function. The ratio between the side perpendicular to the angle and the hypotenuse is known as the sine of an angle in a right-angled triangle.
The relation between the opposite side and the hypotenuse is given by the sine function.
Thus,
sin (45) = opposite side / hypotenuse = 67 / x
1 / √2 = 67/x
x = 67√2 = 94.75
Hence, the value of x in its simplest form is x = 67√2 = 94.75.
Learn more about sine function here:
https://brainly.com/question/28468393
#SPJ1
PLEASE SHOW WORK!!!!!!!!!
The angle between the cable and the ground is given by the trigonometric function tan⁻¹(7/4). Option E is the correct answer.
What is angle?When two rays are united at a common point, an angle is created. The two rays are referred to as the arms of the angle, while the common point is referred to as the node or vertex. The symbol "" stands for the angle. The Latin word "Angulus" is where the term "angle" originated. The construction of an angle is a type of geometric shape made by connecting two rays at their termini.
The angle between the cable and the ground is given by the trigonometric function tangent.
Tan gives the relationship between opposite side and adjacent side.
Thus,
Tan A = 7/4
A = tan⁻¹(7/4)
Hence, the angle between the cable and the ground is given by the trigonometric function tan⁻¹(7/4). Option E is the correct answer.
Learn more about tangent here:
https://brainly.com/question/30594361
#SPJ1
in the science fiction section of the bookstore there are 19 bookcases each bookcase has 72 books in it how many science fiction books are there in the bookstore
Answer: 1,368 books
Explanation: To find the total number of science fiction books in the bookstore, you need to multiply the number of bookcases by the number of books in each bookcase. In this case, there are 19 bookcases, each containing 72 books:
19 bookcases × 72 books per bookcase = 1,368 books
So, there are 1,368 science fiction books in the bookstore.
What value of y makes the equation true? y+2.91=11
A) 8.1
B) 8.09
C) 9.1
D) 13.91
Answer:
Step-by-step explanation:
If Y+2.91=11, simply subtract 2.91 from 11. 11-2.91 is 8.09. Y is 8.09.
Answer:
B) 8.09
Equation:
y + 2.91 = 11
To solve for the value of y, we need to isolate y on one side of the equation by performing the same operation on both sides.
Start by subtracting 2.91 from both sides:
y + 2.91 - 2.91 = 11 - 2.91
Finally, all we need to do is simplify:
y = 8.09
Therefore, the value of y that makes the equation true is 8.09.
A carton of juice has spilled on a tile floor. The juice flow can be expressed with the function , where t represents time in minutes and j represents how far the juice is spreading. The flowing juice is creating a circular pattern on the tile. The area of the pattern can be expressed as .
Part A: Find the area of the circle of spilled juice as a function of time, or . Show your work. (6 points)
Part B: How large is the area of spilled juice after 2 minutes? You may use 3.14 to approximate in this problem. (4 points)
Use the equation editor in your responses. (10 points)
Finding the area of the circle of spilled juice as a function of time is: j(t) = πr(t)²
What is Equation?An equation is mathematical statement that asserts equality of two expressions. It contains one or more variables, and typically consists of terms on either side of equals sign.
Part A:
Let the radius of the circular pattern be r at time t. Then, we have:
j = πr²
Taking the derivative of both sides with respect to time, we get:
dj/dt = 2πr(dr/dt)
Since the rate of change of the radius is unknown, we can express it in terms of the rate of change of j:
dr/dt = (1/2πr)(dj/dt)
Substituting this expression for dr/dt back into our original equation, we get:
j = πr²
dj/dt = π(2r)(dr/dt)
dj/dt = 2πr(dr/dt)
dj/dt = 2πr(1/2πr)(dj/dt)
dj/dt = dj/dt
Therefore, the area of the spilled juice as a function of time is:
j(t) = πr(t)²
Part B:
If we assume that the rate of change of the radius is constant over the first 2 minutes, we can use the formula for the area of a circle to find the area of the spilled juice after 2 minutes:
j(2) = πr(2)²
To know more about Expression visit:
brainly.com/question/28637270
#SPJ1
Please help me. Offering brainlest!
Answer:
64cm³
Step-by-step explanation:
Surface area of a cube is 6a²
6a² = 96
Divide both sides by 6
a² = 16
Square root of both sides
a = 4cm
Volume of a cube is a³
Volume =4³
Volume 64cm³
Question 18
5 pts
An airplane flying into a headwind travels 1176.00 miles in 4 hours and 54 minutes. On the return flight, the
distance is traveled in 4 hours. Find the airspeed of the plane and the speed of the wind, assuming that both
remain constant.
plane speed = 282 mph; wind speed = 274 mph
plane speed = 267.00 mph; wind speed = 27.00 mph
plane speed = 282 mph; wind speed = 27.00 mph
plane speed = 244 mph; wind speed = 256 mph
plane speed = 244 mph; wind speed = 27.00 mph
Using the system of equations, we found that :
plane speed = 267.00 mph; wind speed = 27.00 mph
What is meant by an equation?
A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign. Typically, we consider an equation's right side to be zero. As we can balance this by deducting the right-side expression from both sides' expressions, this won't reduce the generality.
The distance travelled = 1176.00 miles
Time taken = 4 hours and 54 minutes = 4*60 + 54 = 294 minutes
The times taken for return flight = 4 hours = 240 minutes
Let,
x = speed of the plane
y = speed of the wind
In a headwind the speed reduces.
So the relative speed of the plane is (x-y)
distance = speed * time
1176 = (x-y) * 294
x-y = 4
Now for the return flight, the wind is tailwind and the speed increases.
So the relative speed of the plane is (x+y).
1176 = (x+y) * 240
x + y = 4.9
Now we have a system of equations.
x - y = 4
x + y = 4.9
Adding,
2x = 8.9
x = 4.45 miles/min = 4.45 * 60 miles/hour = 267 miles/hour
and
y = 4.9 - x = 4.9 - 4.45 = 0.45 miles/min = 0.45*60 = 27 miles/hour
Therefore using the system of equations, we found that :
plane speed = 267.00 mph; wind speed = 27.00 mph
To learn more about the equations, follow the link.
brainly.com/question/22688504
#SPJ1
Break-Even Sales
Anheuser-Busch InBev SA/NV (BUD) reported the following operating information for a recent year (in millions):
The anticipated break-even number of barrels for the following year is 254.40 million per barrel.
a) To compute the break-even number of barrels for the current year, we need to first calculate the total fixed costs and the total variable costs for the year.
Total Fixed Costs = Selling, general, and administrative expenses - Variable Selling, general, and administrative expenses + Operating Income before special items
Total Fixed Costs = 14,439 - (0.5 * 14,439) + 13,275
Total Fixed Costs = $20,494.5 million
Total Variable Costs = Cost of goods sold - Variable Cost of goods sold
Total Variable Costs = 17,803 - (0.75 * 17,803)
Total Variable Costs = $4,450.75 million
Now, we can calculate the contribution margin per barrel as follows:
Contribution Margin per Barrel = (Sales - Variable Costs) / Number of Barrels
Contribution Margin per Barrel = ($45,517 - $4,451) / 500
Contribution Margin per Barrel = $82.132 million / barrel
To find the break-even number of barrels, we can use the following formula:
Break-even Number of Barrels = Total Fixed Costs / Contribution Margin per Barrel
Break-even Number of Barrels = $20,494.5 million / $82.132 million per barrel
Break-even Number of Barrels = 249.53 million barrels
Therefore, the break-even number of barrels for the current year is 249.53 million.
To compute the anticipated break-even number of barrels for the following year, we need to consider the increase in fixed costs due to the new distribution and general office facilities. Assuming all other costs and per-barrel amounts remain constant, the new total fixed costs would be:
New Total Fixed Costs = Total Fixed Costs + Increase in Fixed Costs
New Total Fixed Costs = $20,494.5 million + $400 million
New Total Fixed Costs = $20,894.5 million
Using the same contribution margin per barrel as in the current year, we can calculate the anticipated break-even number of barrels for the following year:
b) Anticipated Break-even Number of Barrels = New Total Fixed Costs / Contribution Margin per Barrel
Anticipated Break-even Number of Barrels = $20,894.5 million / $82.132 million per barrel
Anticipated Break-even Number of Barrels = 254.40 million barrels
Therefore, the anticipated break-even number of barrels for the following year is 254.40 million.
For more such questions on Break-Even Point: brainly.com/question/13770712
#SPJ4
The correct question would be:
Break-Even Sales Anheuser-Busch InBev SA/NV (BUD) reported the following operating information for a recent year (in millions): $45,517 Sales Cost of goods sold Selling, general, and administrative expenses $17,803 14,439 (32,242) Operating income $13,275 *Before special items In addition, assume that Anheuser-Busch InBev sold 500 million barrels of beer during the year. Assume that variable costs were 75% of the cost of goods sold and 50% of selling, general, and administrative expenses. Assume that the remaining costs are faced. For the following year, assume that Anheuser-Busch InBev expects pricing variable costs per barrel and fixed costs to remain constant, except that new distribution and general office facilities are expected to increase fixed costs by $400 million
a. Compute the break-even number of barrels for the current year. In computing variable and fixed costs and per-barrel amounts, round to two decimal places. Round the break-even number of barrels to one decimal place. million barrels
b. Compute the anticipated break-even number of barbels for the following year Round to one decimal place in millions of barrels million barrels.
what is the distance between the two points (−8,−3) and (−1,4) in simplest radical form
Answer:
the distance between the two points (-8,-3) and (-1,4) is 7sqrt(2) units.
Step-by-step explanation:
We can use the distance formula to find the distance between the two points:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Let's substitute the given coordinates:
d = sqrt((-1 - (-8))^2 + (4 - (-3))^2)
d = sqrt(7^2 + 7^2)
d = sqrt(2 x 7^2)
d = 7sqrt(2)
Therefore, the distance between the two points (-8,-3) and (-1,4) is 7sqrt(2) units.
please help me on this please
Answer:
[tex]\boxed{\mbox{\large{\quad 54\quad }}} \quad\text{ 25\% of last year's attendance}\\\\\boxed{\mbox{\large{\quad 216\quad }}}\quad\text{100\% of last year's attendance}\\\\[/tex]
Step-by-step explanation:
If we let x be the number of attendees last year then since this year's attendees 270 is 125% of x we get
125% of x = 270
125% as a decimal = 125/100 = 1.25
So we get the equation
1.25x = 270
Divide by 1.25 to get
1.25x/1.25 = 270/1.25
x = 216
So there were a total of 216 attendees last year
25% of last year attendees = 0.25 x 216 = 54
What are the solutions to the following quadratic?
5x² + 18x=25x+15+3x²
(x+5)(2x-3)
O (5,-3/2)
(x - 5)(2x+3)
(-5,3/2)
Answer:
We can start by simplifying both sides of the equation:
5x² + 18x = 25x + 15 + 3x²
2x² - 7x - 15 = 0
Now we need to factor this quadratic equation:
2x² - 7x - 15 = (2x + 3)(x - 5)
Setting each factor equal to zero gives us the solutions:
2x + 3 = 0 or x - 5 = 0
Solving for x, we get:
x = -3/2 or x = 5
Therefore, the solutions to the quadratic equation are x = -3/2 and x = 5.
So, the correct answer is (x - 5)(2x+3).