The dollar amount of each type of candle that must be sold to break even is birthday candles for $177111, standard tapered candles for $236148 and large scented candles for $177111.
What is meant by break-even period?In business accounting, the break-even point refers to the amount of revenue necessary to cover the total fixed and variable expenses incurred by a company within a specified time period.
Given that, the sales mix of its three product lines is birthday candles 30%, standard tapered candles 40% and large scented candles 30%.
The company's fixed costs are $590,370 per year.
Birthday candles 30%
Now, 30% of 590,370
30/100 ×590,370
= 0.3×590,370
= $177111
Standard tapered candles 40%
Now, 40% of 590,370
40/100 ×590,370
= 0.4×590,370
= $236148
Large scented candles 30%
Now, 30% of 590,370
30/100 ×590,370
= 0.3×590,370
= $177111
Therefore, the dollar amount of each type of candle that must be sold to break even is birthday candles for $177111, standard tapered candles for $236148 and large scented candles for $177111.
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Original price of an SUV: $34,400.00
Discount: 25%
Step-by-step explanation:
Step 1- convert 25% into a decimal
Step 2- Multiply 34,400.00 x 0.25
Which should give you $8600.00
Step 3- Then subtract 34,400.00 from 8600.00
Which will give you $25800.0
The The thing to remember is Multiply with the discount then subtract your answer from the original price of the item.
Hope This Helps !!
find the HCF by prime factorization method 60 and 75
HCF=15
Hope it helps you...
Balance of -$450, deposit $900 then withdraw $300
Answer:
$150
Step-by-step explanation:
Amount of money in the end
= -$450 + $900 - $300
= $150
Se tiene 10 fichas, las 5 primeras de color
azul numeradas del 1 al 5 y las 5 restantes
blancas también numeradas del 1 al 5. Se
colocan en una caja sacando una ficha y
posteriormente otra más, entonces la
probabilidad de que ambas estén
numeradas con el valor 1, es:
Usando la distribución hipergeométrica, la probabilidad de que ambas estén numeradas con el valor 1, es: 0.0222 = 2.22%.
¿Qué es la fórmula de distribución hipergeométrica?
La fórmula es:
\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
Los parámetros son:
x es el número de éxitos.N es el tamaño de la población.n es el tamaño de la muestra.k es el número total de resultados deseados.Los valores de los parámetros son:
N = 10, k = 2, n = 2.
La probabilidad de que ambas estén numeradas con el valor 1, es P(X = 2), entonces:
\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)
\(P(X = 2) = h(2,10,2,2) = \frac{C_{2,2}C_{8,0}}{C_{10,2}} = 0.0222\)
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Find the common difference of the arithmetic sequence: { 8, 5, 2, -1, -4, ...}
d=
Answer:
d=3
Step-by-step explanation:
because
8-5=3
5-2=3
2--1=3
-1--4=3
What is the volume of the prism 2.4in 1.5in 8in
Answer:
The answer is 28.8, When finding the Volume of a shape, you multiply all numbers.
Bill walks 4 miles east, 5 miles north, and 7 miles west. How many miles is he, in a direct line, from his starting point?
Answer:
5.83 miles
Step-by-step explanation:
Bill's net distance west of his starting point is -4+7 = 3 miles. His net distance north of his starting point is 5 miles. The straight-line distance will be the hypotenuse of a right triangle with legs 3 miles and 5 miles. That distance is given by the Pythagorean theorem:
d² = (3 mi)² +(5 mi)² = 34 mi²
d = √34 mi ≈ 5.83 mi
Bill is 5.83 miles on a direct line from his starting point.
_____
The attached calculator screenshot shows the sum of the travel distances. The angles are bearings measured clockwise from north. The angle of the sum indicates Bill is about 31° west of north relative to his starting point.
Mabel bought b bags of beans. There are 15 beans in each bag. Write an expression that shows how many beans Mabel bought.
Answer:
y= x+15
Step-by-step explanation:
I think that will be your equation
The coordinates of the vertices of DEF are D(2,3), E(4,0), and F(1,−2). The coordinates of the vertices of TVW are T(0,3), V(−2,0), and W(1,−2).
Answer:
To find the equation of the line containing the segment DE, we can use the coordinates of D and E to find the slope:
slope = (change in y) / (change in x) = (0 - 3) / (4 - 2) = -3/2
We can use the point-slope form of the equation of a line, using either D or E as the point:
y - 3 = (-3/2)(x - 2)
Simplifying this equation, we get:
y = (-3/2)x + 6
Similarly, to find the equation of the line containing the segment EF, we can find the slope using the coordinates of E and F:
slope = (change in y) / (change in x) = (-2 - 0) / (1 - 4) = 2/3
Using either E or F as the point, we can write the equation in point-slope form:
y - 0 = (2/3)(x - 4)
Simplifying, we get:
y = (2/3)x - (8/3)
To find the equation of the line containing the segment TV, we can find the slope using the coordinates of T and V:
slope = (change in y) / (change in x) = (0 - 3) / (-2 - 0) = 3/2
Using either T or V as the point, we can write the equation in point-slope form:
y - 3 = (3/2)(x - 0)
Simplifying, we get:
y = (3/2)x + 3
Finally, to find the equation of the line containing the segment VW, we can find the slope using the coordinates of V and W:
slope = (change in y) / (change in x) = (-2 - 0) / (1 - (-2)) = -2/3
Using either V or W as the point, we can write the equation in point-slope form:
y - 0 = (-2/3)(x - (-2))
Simplifying, we get:
y = (-2/3)x + (4/3)
Answer:
are reflection across the y-axis and translation 2 units right.
Step-by-step explanation:
What is the equation of a line whose slope is 2 and passes through the point (-6,9)
Answer:
y = 2x + 21
Step-by-step explanation:
Step 1: Write out known variables
y = mx + b
m = 2
y = 2x + b
Step 2: Find b
9 = 2(-6) + b
9 = -12 + b
b = 21
Step 3: Rewrite linear equation
y = 2x + 21
Which number is not in the solution set of x-6>10?
Answer:
options?
Step-by-step explanation:
It would be any number that is less than 16 because starting with the original question:
x-6>10
By canceling out the -6:
x-6+6 > 10+6
x > 16
pls help im trying to pass ill give the most points
The required final answers of mixed fractions are 665/48, 259/45, 6095 / 28, 67/10.
What are Operation?Calculating a value using operands and a math operator is referred to as performing a mathematical "operation." The math operator's symbol has predetermined rules that must be applied to the supplied operands or numbers.
According to question:This expression can be evaluated by converting the mixed fraction to improper fractions and then performing the arithmetic operations.
1. \(2\frac{1}{3} +5\frac{5}{16} + \frac{2}{7}\)
= 7/3 + 85/16 + 2/7
= 665/48.
2. \(9\frac{5}{9} - 3\frac{2}{5}\)
= 86/9 - 17/5
= 259/45.
3. \(16\frac{3}{7} *13\frac{1}{4}\)
= 115/7 * 53/4
= 6095 / 28
4. \(16\frac{3}{4}\) ÷ \(2\frac{1}{2}\)
= 67/4 ÷ 5/2
= 67/10
Thus, required answers are 665/48, 259/45, 6095 / 28, 67/10.
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1. Work out these calculations
104 divide to 4 =
168 divide to 7 =
342 divide to 6 =
423 divide to 9 =
472 divide to 8 =
305 divide to 5 =
112 divide to 7 =
207 divide to 9 =
2. Work out these division calculations with their remainders (e.g.: 25r1)
351 divide to 6 =
509 divide to 9 =
398 divide to 8 =
375 divide to 4 =
436 divide to 7 =
296 divide to 3 =
254 divide to 9 =
345 divide to 6 =
396 divide to 7 =
964 divide to 5 =
231 divide to 4 =
3. What is the missing digit?
?7 x 9 = 333
Answer:
1:
26
24
57
47
59
61
16
23
2:
58.5
56.556
49.75
93.75
62.2857142857
98.667
28.223
57.5
56.5714285714
19.28
57.75
Answer:
100r1
Step-by-step explanation:
What is the M.A.D. (mean absolute deviation) of the following data set?
8 9 9 7 8 6 9 8
The mean absolute deviation is 0.75
How to determine the mean absolute deviationTo calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set
From the information given, we have that the data set is;
8 9 9 7 8 6 9 8
Let's calculate the mean, we get;
Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8
Mean = 64 / 8
Divide the values
Mean = 8
Let's determine the absolute difference, we get;
Absolute differences=
|8 - 8| = 0
|9 - 8| = 1
|9 - 8| = 1
|7 - 8| = 1
|8 - 8| = 0
|6 - 8| = 2
|9 - 8| = 1
|8 - 8| = 0
Find the mean of the absolute differences:
Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8
Absolute difference = 6 / 8 = 0.75
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Which term can be added to the list so that the greatest common factor of the three terms is 12h3?
36h3, 12h6, __________
The term that can be added to the list so that the greatest common factor of the three terms 12h3 36h3, 12h6, is 48h5
How can the term be known?A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, 12, 20, and 24 all share two characteristics.
The term that can fit in to the list so the GCF is 12h3 would be 48h5, this is so because 48 is first divisible by 12 without any fraction, and we can remove upon dividing 3 h's from this term as it contains a total of 5 h's.
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Which one is the correct answer
Answer:
3,5
Step-by-step explanation:
(Giving brainliest and 40 points)
Answer:
1360 m³
Step-by-step explanation:
To determine the volume of a compound 3D shape, divide the 3D shape into multiple 3D known shapes. Then, determine the volume of those "3D known shapes" and sum them up to determine the volume (figure).
In this figure, we can see two cuboids forming the figure. Therefore,
⇒ V (Figure) = V (Cuboid₁) + V (Cuboid₂)
The formula to determine the volume of a cuboid is the measure of the length, multiplied to the product of the width and the height.
⇒ V (Cuboid) = L × (W × H) or L × W × H
Therefore, the volume of cuboid₁ is;
⇒ V (Figure) = [L (Cuboid₁) × W (Cuboid₁) × H (Cuboid₁)] + V (Cuboid₂)
When we substitute the dimensions of the cuboid₁ , we get;
⇒ V (Figure) = [8 × 5 × 22] + V (Cuboid₂)
Which when simplified, we get;
⇒ V (Figure) = [880] + V (Cuboid₂)
The same should be done to cuboid₂. Therefore,
⇒ V (Figure) = [880] + [L (Cuboid₂) × W (Cuboid₂) × H (Cuboid₂)]
When we substitute the measures in the equation, we get;
⇒ V (Figure) = [880] + [8 × 5 × 12]
Which when simplified, we get;
⇒ V (Figure) = [880] + [40 × 12]
⇒ V (Figure) = [880] + [480]
⇒ V (Figure) = 1360 m³
Therefore, the volume of the figure is 1360 m³.
SLOPE DIGITAL ESCAPE ROOM
I need help finding the code
By finding all the four slopes, we can see that the word is ECHA.
How to find the word?We know that the general linear equation can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
We know that if the line passes through (x₁, y₁) and (x₂, y₂) then the slope is:
s = (y₂ - y₁)/(x₂ - x₁)
With that formula we can get the slopes.
1) Using the points (0, 3) and (2, 4).
m = (4 - 3)/(2 - 0) = 1/2, so the letter is E.
2)Using (-1, -12) and (1, -8)
m = (-8 + 12)/(1 + 1) = 4/2 = 2, so the letter is C.
3) We have (2, -6) and (-4, -3) so:
m = (-3 + 6)/(-4 - 2) = 3/-6 = -1/2, so the letter is H
4)we can use the points (0, 3) and (1, 1), so:
m = (1 - 3)/(1 - 0) = -2, so the letter is A
Then the word is ECHA
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Solve the two simultaneous equations.
You must show all your working.
3t+2p=15.5
5t+4p=28.5
Answer:
Given equations are,
5x+2y=−2 (1)
3x−5y=17.4 (2)
Multiply equation (1) by 5 and equation (2) by 2, we get,
5(5x+2y)=5×−2
∴25x+10y=−10 (3)
2(3x−5y)=2×17.4
∴6x−10y=34.8 (4)
Adding equations (3) and (4), we get,
31x=24.8
∴x=
31
24.8
Put this value in equation (1), we get,
5(
31
24.8
)+2y=−2
∴
31
124
+2y=−2
∴2y=−2−
31
124
∴2y=
31
−186
∴y=
31
−93
Step-by-step explanation:
What is the domain of the square root function graphed below?
Plzzz guys help me ;( F(x)-mx+ b, f(-2)=3 and f(4)=1 , what is the value of m and b
Answer:
Plzzz guys help me ;( F(x)-mx+ b, f(-2)=3 and f(4)=1 , what is the value of m and
Find the value of f(-2) for the function f(x) = 4x + 10.
A. -3
B. -2
C. 2
D. 18
Answer:
C
Step-by-step explanation:
f(x) = 4x+10
f(-2) = 4(-2)+10 = 2
Answer:
b
Step-by-step explanation:
f(-2) = 4(-2)+10
= -2
suppose that dr. sameer surveys a random sample of 100 cal poly students, and for this sample the mean number of hours per day spent watching tv turns out to be 3.0 hours.
The number 3.01 is a statistic, the symbol for the number 3.01 is μ_hat; and To conduct a simulation-based test of significance, we need to compare the observed mean (3.01 hours) with the hypothesized mean (2.75 hours).
The number 3.01 is a statistic.
The symbol for the mean number of hours per day spent watching TV for the sample of 100 Cal Poly students is μ_hat.
To conduct a simulation-based test of significance, we need to compare the observed mean (3.01 hours) with the hypothesized mean (2.75 hours). The null hypothesis is that the population mean (μ) is equal to 2.75 hours, and the alternative hypothesis is that the population mean is not equal to 2.75 hours.
Steps to find p-value:
1. Calculate the difference between the observed mean and the hypothesized mean: d = μ_hat - 2.75 hours
2. Generate a large number of random samples with the same sample size as the original sample, and calculate the mean of each sample.
3. Calculate the difference between the mean of each sample and the hypothesized mean and store the values in a list.
4. Count the number of differences that are equal to or greater than the difference between the observed mean and the hypothesized mean (d).
5. Divide the count by the total number of simulations to get the p-value. This gives us the probability of getting a sample mean equal to or greater than the observed mean if the null hypothesis is true.
6. Compare the p-value with the significance level (α) to determine whether to reject or fail to reject the null hypothesis. If the p-value is less than α, we reject the null hypothesis and conclude that the data provide evidence that the average number of hours per day Cal Poly students spending the time watching TV is different from 2.75 hours.
If the p-value is greater than α, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the average number of hours per day Cal Poly students spending the time watching TV is different from 2.75 hours.
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--The given question is incomplete; the complete question is
"Reconsider Dr Sameer's research question about how much time Cal Poly students spend watching television. Suppose that Dr Sameer surveys a random sample of 100 Cal Poly students, and for this sample, the mean number of hours per day spent watching TV turns out to be 3.01 hours.
1. Is the number 3.01 a parameter or a statistic?
2. Assign an appropriate symbol to the number 3.01.
3. Describe how you can conduct a simulation‐based test of significance to investigate whether the data provide evidence that the average number of hours per day Cal Poly students spend watching TV is different from 2.75 hours. Be sure to provide details on how one would find a p‐value."--
The Pythagorean Theorem can be used to find missing side lengths of any type of triangle.
Answer:
False, it can only be used for Right Triangles.
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
81 x
3y + 72x
2y
2 + 16xy
3
Answer:
Step 1 :Equation at the end of step 1
((81•(x4))-((72•(x2))•(y2)))+24y4
Step 2 :
Equation at the end of step 2 :
((81 • (x4)) - ((23•32x2) • y2)) + 24y4
Step 3 :
Equation at the end of step 3 :
(34x4 - (23•32x2y2)) + 24y4
Step 4 :Trying to factor a multi variable polynomial
4.1 Factoring 81x4 - 72x2y2 + 16y4
Try to factor this multi-variable trinomial using trial and error
Found a factorization : (9x2 - 4y2)•(9x2 - 4y2)
Detecting a perfect square :
4.2 81x4 -72x2y2 +16y4 is a perfect square
It factors into (9x2-4y2)•(9x2-4y2)
which is another way of writing (9x2-4y2)2
How to recognize a perfect square trinomial:
• It has three terms
• Two of its terms are perfect squares themselves
• The remaining term is twice the product of the square roots of the other two terms
Trying to factor as a Difference of Squares:
4.3 Factoring: 9x2-4y2
Put the exponent aside, try to factor 9x2-4y2
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 9 is the square of 3
Check : 4 is the square of 2
Check : x2 is the square of x1
Check : y2 is the square of y1
Factorization is : (3x + 2y) • (3x - 2y)
Raise to the exponent which was put aside
Factorization becomes : (3x + 2y)2 • (3x - 2y)2
Final result :
(3x + 2y)2 • (3x - 2y)2
Step-by-step explanation:
Answer:
81x+16y
should be the correct one
need help quick, ez question
will give brainliest
The volume of the given triangular prism is 384 cm³.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Here, the area of the base is
Area of a rectangle = 1/2 ×Base×Height
= 1/2 ×12×4
= 24 cm²
Now the volume is 24×16
= 384 cm³
Therefore, the volume of the given triangular prism is 384 cm³.
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Find a reasonably simple series with a tail that is thicker than the tail of the given series.Σ 1n × >> Σ (1/2)n
Reasonably simple series with a tail that is thicker than the tail of the given Σ 1n × >> Σ (1/2), Σ (1/3)^n has a thicker tail than Σ (1/2)^n.
One possible series with a thicker tail than Σ (1/2)^n is the series Σ (1/3)^n, which can be written as:
1 + 1/3 + 1/9 + 1/27 + 1/81 + ...
To see that this series has a thicker tail than Σ (1/2)^n, we can compare the nth terms of the two series:
(1/2)^n = 1/2 × 1/2 × ... × 1/2 (n factors)
(1/3)^n = 1/3 × 1/3 × ... × 1/3 (n factors)
Since 1/2 > 1/3, the nth term of Σ (1/2)^n is greater than the nth term of Σ (1/3)^n for all n. However, the sum of the first k terms of Σ (1/3)^n is:
1 + 1/3 + 1/9 + ... + (1/3)^k
= (1 - (1/3)^k) / (1 - 1/3)
= (3/2) (1 - (1/3)^k)
which approaches 3/2 as k approaches infinity. In contrast, the sum of the first k terms of Σ (1/2)^n is:
1 + 1/2 + 1/4 + ... + (1/2)^k
= (1 - (1/2)^(k+1)) / (1 - 1/2)
= 2 (1 - (1/2)^(k+1))
which approaches 2 as k approaches infinity. Therefore, the series Σ (1/3)^n has a thicker tail than Σ (1/2)^n.
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Use the two given functions to write y as a function of x.
y = -3a + 3, a = -5x + 1
Answer:
Step-by-step explanation:
To write y as a function of x using the given functions, we can substitute the value of "a" in the first equation with the expression "-5x + 1" from the second equation.
Given:
y = -3a + 3
a = -5x + 1
Substituting the value of "a" in the first equation:
y = -3(-5x + 1) + 3
Now, let's simplify this expression:
y = 15x - 3 + 3
y = 15x
Therefore, y can be expressed as a function of x as:
y = 15x
which is larger
8/k^2+2 and k^2+2
Answer:
Step-by-step explanation:
d e e z n u t z
A football stadium holds 5000 people.
On a match day z of the stadium is full.
40% of the children are girls.
The ratio of adults to children is 2:3
How many of the children attending are boys?
Can someone plz help me with this
Answer:
1000 children
Step-by-step explanation:
Find the total units of adults and children = 2 + 3 = 5
5 units = 5000
1 unit = 5000 ÷ 5 = 1000
100% ÷ 5 units = 20% each unit
3 units = 20% x 3 = 60%
Since we all know that 60% of the people are children and 40% of the children are girls...
60 - 40 = 20%
20% = 1000