Answer:
62.29
Step-by-step explanation:
100 - 3(4.25) - 13 - 4(2.99)
= 100 - 12.75 - 13 - 11.96
= 62.29
explanation in the picture
the answer is
62,29
Which of the following equations has both -7−7minus, 7 and 777 as possible values of fff?
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
f^2 = 49f
2
=49f, squared, equals, 49
(Choice B)
B
f^3 = 343f
3
=343f, cubed, equals, 343
(Choice C)
C
None of the above
Answer:
f^2=49
Step-by-step explanation:
The function f(x) = -5log4 (x-15) models the difference, in degrees Fahrenheit, between the temperature indoors and the temperature outdoors, x minutes after the air remediation system is turned on in a building. After how many minutes is the temperature indoors the same as the temperature outdoors? -
The temperature indoors and outdoors the same after 16 minutes
After how many minutes is the temperature indoors and outdoors the sameThe function is given as
f(x) = -5log4 (x-15)
When the temperatures are equal, we have
f(x) = 0
So, the equation becomes
-5log4 (x-15) = 0
Divide by -5
So, we have
log4 (x-15) = 0
Take the exponent of both sides
x - 15 = 4^0
So, we have
x - 15 = 1
Evaluate
x = 16
Hence, the time is 16 minutes
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Drew bought gifts for $140. Sales tax is 5.75%. How much tax did he pay?
a
$220.50
b
$80.50
c
$8.05
d
$148.05
Answer:
its c! :) I hope this helped you:)
1A roll of ribbon is 1,780 inches long. It takes 1 yard
of ribbon (36 inches) to wrap a gift:
How many gifts can be wrapped?
6 gifts. 6 yards of ribbon.
Find the common ratio of the geometric sequence. 9,-18, 36, -72
Answer:
according to me its just multiplying with the number ( -2)
like 9×(-2) = -18
36×(-2) = -72
A piano instructor charges students a one-time fee for sheet music and an hourly rate for lessons. The graph below shows the total cost for a student who has taken x lessons.
The teacher recommends that students read for 20 minutes each night how many pages will the students complete
The number of pages read by the student at the constant rate in 20 minutes is 10 pages.
What is termed as the constant rate?In math, a constant rate is the exclusion of acceleration. A function with such a constant rate, in general, has a second derivative of 0. The function would be a straight line if plotted on standard graph paper because the change in y (or rate) would've been constant. Whenever the value of x increases, a value of y does not change.That is, the y value does not change, and the graph is just a horizontal line.For the given question,
The rate at which the student reads the book is given by equation;
y = (1/2)x.
Consider the data from the table given.
For 1 minutes the pages read is 0.5.
From the recommendation of 20 pages by the teacher.
Thus, for 20 min, put the value x = 20 in the equation.
y = (1/2)×20
y = 10 pages.
Thus, the number of pages read by the student at the constant rate in 20 minutes is 10 pages.
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The complete question is-
A student reads at a constant rate in her chapter book, Where the Red Fern Grows. This can be described by the equation
y = (1/2)x. The chart above is complete. The teacher recommends that students read for 20 minutes each night. How many pages will the student complete?
Determine whether the set of all pairs of real numbers (x
1
,y) with the operations (x
1
,y
1
)+(x
2
,y
2
)=(x
1
+x
2
,y
1
+y
2
) and k(x,y)=(2b,2ky) is a vector space, If it is, then verify each vector-space axiom: if not, then state all vector space axioms that fail (and show that they fail). [3 points]
The set of all pairs of real numbers (x1, y) with the operations (x1, y1) + (x2, y2) = (x1 + x2, y1 + y2) and k(x, y) = (2k, 2ky) is not a vector space.
The first axiom of a vector space is that the sum of two vectors is a vector. In this case, the sum of two vectors (x1, y1) and (x2, y2) is (x1 + x2, y1 + y2).
However, this vector does not belong to the set of all pairs of real numbers, because the second component is not necessarily a real number.
For example, if (x1, y1) = (1, 2) and (x2, y2) = (3, 4), then the sum is (4, 6), which is not a pair of real numbers.
Therefore, the set of all pairs of real numbers with the operations (x1, y1) + (x2, y2) = (x1 + x2, y1 + y2) and k(x, y) = (2k, 2ky) does not satisfy the first axiom of a vector space.
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There are 5 positions available in the new school. Of the applicant, 12 are men and 8 are women. In how many ways can 3 men and 2 women be chosen if they are equally considered?
There are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting
What is the multiplication principle of countingThe multiplication principle states that if there are m ways to perform one task and n ways to perform another task, then there are m x n ways to perform both tasks together.
To find the number of ways to choose 3 men from the 12 men, we can use the formula for combination, which is: ⁿCᵣ = n! / (r! (n-r)!).
where n is the total number of men and r is the number of men chosen
so, the number of ways to choose 3 men from the 12 men = ¹²C₃ = 1.
Similarly, we evaluate the number of ways to choose 2 women from the 8 women
as = ⁸C₂ = 14
Now, using the multiplication principle, we can find the total number of ways 3 men and 2 women be chosen if they are equally considered.
220 x 14 = 3080
Therefore, there are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting
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What is an equation for the line with slope The fraction 3/2 and y- intercept -4?
A. Y= 3/2 x
B. Y = -4 x
C. Y = 3/2 x -4
D. Y = -4x + 3/2.
Answer:
y = 3/2x - 4
Step-by-step explanation:
What is the area of rhombus KLMN? Rhombus 467.4 in 387.6 in 289 in 287.3 in
The area of rhombus KLMN is 287.3 in²
What are rhombuses?A quadrilateral called a rhombus has four equal-length sides. The term "equilateral quadrilateral" refers to a quadrilateral whose sides all have equal lengths.
Given:
Since, the diagonals of a rhombus bisects each other at a right angle,
Let they bisect at O,
so, KM = 2MO = 2KO = 2×11.4 = 22.8 in
Thus, Δ KON is a right triangle,
Using Pythagoras theorem,
KN² = KO² + ON²
ON = √17²-11.4²
ON = 12.611 in
LN = 2×12.611
LN = 25.22 in
Then, Area of a rhombus = 1/2 × diagonal 1 × diagonal 2
Area = 1/2 × 25.22 × 22.8
= 287.3 in²
Hence, the area of rhombus KLMN is 287.3 in²
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In the triangle below,∠1= 35° and ∠6 = 70°. WHat is the measurement of ∠4?
∠4= ?°
Answer:
145°
Step-by-step explanation:
< 6 + <2 = 180° {being linear pair }
70° + < 2 = 180°
< 2 = 180° - 70°
< 2 = 110°
Now
< 4 = < 1 + < 2 (exterior angle of a triangle is equal to the sum of two opposite interior angles)
<4 = 35° + 110°
= 145°
Hope it will help :)
the letter t is formed by placing two $2\:\text{inch}\!\times\!4\:\text{inch}$ rectangles next to each other, as shown. what is the perimeter of the t, in inches?
The perimeter of the letter "T" is 22 inches.
Since the letter "T" is formed by placing two rectangles next to each other, its perimeter is the sum of the perimeters of the two rectangles minus the shared side.
The shared side will be the width of the rectangles, which is 2 inches.
The lengths of the rectangles are 4 inches each.
Let's calculate the perimeter:
Perimeter of the top rectangle = 2 * (length + width) = 2 * (4 + 2) = 12 inches
Perimeter of the bottom rectangle = 2 * (length + width) = 2 * (4 + 2) = 12 inches
Now, subtract the shared side (width) once:
Shared side = 2 inches
Total perimeter = (Perimeter of top rectangle + Perimeter of bottom rectangle) - Shared side
Total perimeter = (12 + 12) - 2 = 22 inches
So, the perimeter of the letter "T" is 22 inches.
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Find the parametric equations for the tangent line to the curve with the given parametric equations at the specified point. V t2 + 3, y = ln(t? + 3), z = t; (2, In 4, 1)
The given parametric equations are given below:v = t² + 3 y = ln(t² + 3) z = tWe have to find the parametric equations for the tangent line to the curve with the given parametric equations at the specified point (2, ln 4, 1).
Explanation:Let (x₀, y₀, z₀) = (2, ln 4, 1) be the specified point.To find the tangent line, we need to find a point and a vector. We already have the point, we can find the vector by taking the derivative of each component of the vector function:(v, y, z) = (t² + 3, ln(t² + 3), t)Differentiating each component we get:(v', y', z') = (2t, (2t / (t² + 3)), 1)Now evaluating the derivatives at t = 2, we get:(v'(2), y'(2), z'(2)) = (4, 4 / 7, 1)Thus the tangent vector is (4, 4 / 7, 1).We can write the equation for the line in vector form as:r = r₀ + t vwhere r₀ is the initial position vector (2, ln 4, 1), v is the direction vector (4, 4 / 7, 1), and t is a parameter.We can write the parametric equation of the line as:(x, y, z) = (2, ln 4, 1) + t(4, 4 / 7, 1)
Multiplying the vector (4, 4 / 7, 1) by t and adding it to the point (2, ln 4, 1), we get the following equation:(x, y, z) = (2 + 4t, ln 4 + (4 / 7)t, 1 + t)The above equation gives the required parametric equations for the tangent line to the curve at the specified point.
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Evaluate the integral do I = a+cosd' (a) if a > 1; (b) if a=ao+ie, where ao and e are real and positive. Assume that do
a. the integral \(I\) becomes \(\[I = a\theta + \sin(\theta) + C\]\) where \(\(C\)\) is the constant of integration. b. the integral \(I\) becomes \(\[I = \frac{1}{2}a\theta^2 + \sin(\theta) + C\]\) where \(\(C\)\) is the constant of integration.
To evaluate the integral \(I = \int (a + \cos(\theta)) \, d\theta\), we can apply the integral rules and properties. Let's consider the two given cases:
(a) If \(a > 1\):
In this case, the integral can be evaluated directly. The integral of \(a\) with respect to \(\theta\) is \(a\theta\), and the integral of \(\cos(\theta)\) is \(\sin(\theta)\). Therefore, the integral \(I\) becomes:
\[I = a\theta + \sin(\theta) + C\]
where \(C\) is the constant of integration.
(b) If \(a = a_0 + i e\), where \(a_0\) and \(e\) are real and positive:
In this case, the integral can also be evaluated using the same rules. The integral of a constant multiplied by a variable is \(\frac{1}{2}a\theta^2\), and the integral of \(\cos(\theta)\) is \(\sin(\theta)\). Therefore, the integral \(I\) becomes:
\[I = \frac{1}{2}a\theta^2 + \sin(\theta) + C\]
where \(C\) is the constant of integration.
It's important to note that the integral is evaluated based on the assumption that \(d\theta\) is the differential of \(\theta\) and not a different variable. Also, \(C\) represents the constant of integration, which can take any value.
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Hillsdale Orchard grows Fuji apples and Gala apples. There are 160 Fuji apple trees and 120 Gala apple trees in the orchard.
Hillsdale Orchard's owners decide to plant 30 new Gala apple trees. Complete the ratio table (click for help) to find the number of new Fuji apple trees the owners should plant if they want to maintain the same ratio of Fuji apple trees to Gala apple trees
To maintain the same ratio of Fuji apple trees to Gala apple trees, the owners of Hillsdale Orchard should: plant 12 new Fuji apple trees when they plant 30 new Gala apple trees.
To find the number of new Fuji apple trees that the owners of Hillsdale Orchard should plant to maintain the same ratio of Fuji apple trees to Gala apple trees, we need to use a ratio table.
First, we need to determine the ratio of Fuji apple trees to Gala apple trees before the new trees are planted. Let's assume that there are currently 40 Fuji apple trees and 100 Gala apple trees. The ratio of Fuji apple trees to Gala apple trees is therefore 40:100, which can be simplified to 2:5.
Next, we need to use this ratio to determine the number of new Fuji apple trees that need to be planted. Since the owners are planting 30 new Gala apple trees, we can use the ratio of 2:5 to find the corresponding number of new Fuji apple trees.
To do this, we need to divide the number of new Gala apple trees by the denominator of the ratio (which represents the number of units of the ratio). In this case, the denominator is 5.
30 (new Gala apple trees) ÷ 5 (denominator) = 6
This means that for every 5 new Gala apple trees, the owners should plant 2 new Fuji apple trees. Therefore, the owners should plant 12 new Fuji apple trees (2 trees for every 5 new Gala apple trees, multiplied by the 30 new Gala apple trees being planted).
In summary, to maintain the same ratio of Fuji apple trees to Gala apple trees, the owners of Hillsdale Orchard should plant 12 new Fuji apple trees when they plant 30 new Gala apple trees.
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the measure of the angle of a triangle are shown in the figure below. solve for x
x°
44°
61°
Answer: x=75°
Step-by-step explanation:
x+44+61=180 ==> three angles in a triangle add up to 180 degrees
x+105=180
x+105-105=180-105
x=75°
At a restaurant, there are three different appetizers on the menu: spring rolls, chicken tenders, and pretzel dippers. One group buys 2 plates of chicken
tenders and 1 plate of pretzel dippers, and spends $23 on appetizers. Another group spends $30.75 to buy 3 plates of spring rolls and a plate of chicken
tenders. A third group buys one of each appetizer, spending $22.25 on appetizers.
How much does a plate of spring rolls cost?
A. $7.75
B. $8.50
C. $7.50
D. $6.50
Answer: A
Step-by-step explanation: To solve this problem, we can set up a system of equations to represent the information given in the problem. Let x represent the cost of a plate of spring rolls, y represent the cost of a plate of chicken tenders, and z represent the cost of a plate of pretzel dippers.
The first group spent $23 on 2 plates of chicken tenders and 1 plate of pretzel dippers, so the equation for this group is:
2y + z = $23
The second group spent $30.75 to buy 3 plates of spring rolls and 1 plate of chicken tenders, so the equation for this group is:
3x + y = $30.75
The third group spent $22.25 on one of each appetizer, so the equation for this group is:
x + y + z = $22.25
Now that we have three equations, we can use algebraic techniques to solve for the value of x, which represents the cost of a plate of spring rolls.
First, we can solve the second equation for y:
y = $30.75 - 3x
Substituting this expression for y into the first equation, we get:
2($30.75 - 3x) + z = $23
Solving for x, we find that x = $7.75.
Therefore, the cost of a plate of spring rolls is $7.75, so the answer is A.
Which expression would be easier to simplify if you used the associative
property to change the grouping?
A. (50 + 50) + 63
B. (§ + 3) + }
c. [-14+ (-26)] + 67
D. (43 +60) + 40
Answer:
A
Step-by-step explanation:
50 plus 50 is the easiest number to add so in the associative property you put the easiest problem in parentheses so you can do it first like answer A is
In the expression 43 + (60 + 40) we can use associative property to change the grouping option (D) is correct.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
We have given mathematical expression
As we know,
In the associative property, we can change the group of the terms as:
(a + b) + c = a + (b + c)
In the expression (43 +60) + 40 we can use the associative property.
= 43 + (60 + 40)
= 43 + 100
= 143
Thus, in the expression 43 + (60 + 40) we can use associative property to change the grouping option (D) is correct.
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Find the equation for the plane through the point Po = (5,10,3) and normal to the vector
n=7i + 5j +2k.
The equation of the plane is 7x + 5y + 2z = 91. (A(x - x1) + B(y - y1) + C(z - z1)) = 0 where (x1, y1, z1) is the point on the plane and (A, B, C) is the normal vector to the plane. The formula gives the equation of a plane as:
Ax + By + Cz = D , where (A, B, C) is a vector normal to the plane. In this case, we are given the point Po = (5,10,3) and the vector n = 7i + 5j +2k, which is normal to the plane. So, the equation of the plane is given by:
7(x - 5) + 5(y - 10) + 2(z - 3) = 0
Expanding the above equation gives us:
7x - 35 + 5y - 50 + 2z - 6 = 0
7x + 5y + 2z = 91
We are given a point Po = (5,10,3) and a normal vector n = 7i + 5j +2k. We aim to find the equation of the plane that passes through Po and has n as the normal vector. We know that a plane can be represented as:
Ax + By + Cz = D where (A, B, C) is the normal vector to the plane and D is a constant. Using the point-normal form of a plane, we get the equation of the plane :
(7x + 5y + 2z) - (7(5) + 5(10) + 2(3))
07x + 5y + 2z = 91
Hence, the equation of the plane is 7x + 5y + 2z = 91. Thus, we can find the equation of the plane when we are given a point on the plane and a normal vector. We use the point-normal form of the plane, which is given by:
(A(x - x1) + B(y - y1) + C(z - z1)) = 0 where (x1, y1, z1) is the point on the plane and (A, B, C) is the normal vector to the plane.
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The cost of a square slab is proportional to its thickness and also proportional to the square of its length. What is the cost of a square slab that is 3 meters long and 0.1 meter thick
Lan's parents asked him to create a budget for his 1,000 monthly income. He determines that he would like to save the remaining amount amount. What percent of his budget will go towards his savings?
Answer:
If Lan's monthly income is $1,000 and he wants to save the remaining amount, then the amount he plans to save is his income minus his expenses. Let's assume his expenses are x dollars per month. Then, his savings will be:
Savings = Income - Expenses
Savings = $1,000 - x
To find the percentage of his budget that will go towards savings, we need to divide his savings by his income and multiply by 100:
Percentage of budget for savings = (Savings / Income) x 100
Substituting the expression for savings, we get:
Percentage of budget for savings = (($1,000 - x) / $1,000) x 100
Simplifying this expression, we get:
Percentage of budget for savings = (100 - (x / $1,000))%
So the percentage of Lan's budget that will go towards savings depends on his expenses. For example, if he spends $800 per month, then his savings will be $200, and the percentage of his budget going towards savings will be:
Percentage of budget for savings = (($1,000 - $800) / $1,000) x 100
Percentage of budget for savings = (200 / $1,000) x 100
Percentage of budget for savings = 20%
Therefore, in this example, if Lan spends $800 per month, he will be able to save 20% of his monthly income.
Step-by-step explanation:
Write an equation of a line parallel to y = 2x - 1 that passes through the point (-3, 1)
The equation of the parallel line to y = 2x - 1, that passes through (-3, 1) is: y = 2x + 7.
How to Write the Equation of Parallel Lines?Two lines that are parallel to each other would always have the same slope (m). In the slope-intercept form of the equation that represents a line, y = mx + b, the slope of the line is represented as "m", while the y-intercept is represented as b.
Given:
A point (-3, 1)
Equation, y = 2x - 1. The slope (m) = 2. Since parallel lines have the same slope (m), therefore, the line that passes through (-3, 1) also have a slope (m) = 2.
Substitute (x, y) = (-3, 1) and m = 2 into y = mx + b:
1 = 2(-3) + b
1 = -6 + b
1 + 6 = b
b = 7
To write the equation of the parallel line to y = 2x - 1, substitute m = 2 and b = 7 into y = mx + b:
y = 2x + 7.
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the ability to order items in a sequence, such as longest to shortest, is known as:
The ability to order items in a sequence, such as longest to shortest, is known as Seriation.
Seriation is a cognitive skill that involves arranging objects, events, or ideas in a particular order or sequence. It is a crucial aspect of cognitive development and is typically acquired during early childhood. Seriation is the ability to mentally order objects along a quantitative dimension, such as size, weight, or length.
Seriation involves comparing and ordering items based on specific criteria. For example, if given a group of objects of different lengths, a child who has developed seriation skills will be able to arrange the objects in order from shortest to longest. Similarly, if given a group of numbers, a child who has developed seriation skills will be able to arrange them in order from smallest to largest.
Seriation is an important cognitive skill that is used in various areas of life, including academic, professional, and personal domains. It allows individuals to organize information and ideas in a logical and meaningful way, which can facilitate more efficient processing and understanding of complex concepts.
Overall, seriation is a fundamental cognitive skill that plays a crucial role in various aspects of life, including problem-solving, decision-making, and organization. It is an essential skill that supports the development of higher-order thinking skills, such as analysis, evaluation, and synthesis.
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A line segment whose endpoint are on the circle is called a __________ of a circle .
Chord
Radius
Tangent
Diameter
A line segment whose endpoint are on the circle is called a __________ of a circle.
Chord
Radius
Tangent
Diameter
Answer: Chord
(a) A poll of 2,277 likely voters was conducted on the president's performance. Approximately what margin of error would the approval rating estimate have?(b) The poll showed that 44 percent approved the president's performance. Construct a 99 percent confidence interval for the true proportion.(c) Would you say that the percentage of all voters who approve of the president's performance could be 50 percent?
(a) The margin of error would be approximately 2.1 percent.
(b) The 99 percent confidence interval for the true proportion is 41.5 percent to 46.5 percent.
(c) It is possible that the percentage of all voters who approve of the president's performance is 50 percent, but we cannot conclude this with certainty from the given information.
(a) Assuming a 95% confidence level and a proportion of 0.5 (worst-case scenario), the margin of error can be estimated as:
Margin of error = 1.96 * sqrt[(p * (1 - p)) / n]
where p is the proportion (0.5) and n is the sample size (2,277).
Plugging in the values, we get:
Margin of error = 1.96 * sqrt[(0.5 * 0.5) / 2,277] ≈ 0.020 or 2.0%
Therefore, the approximate margin of error for the approval rating estimate is 2.0%.
(b) To construct a 99% confidence interval for the true proportion, we can use the formula:
CI = p ± z*sqrt[(p * (1 - p)) / n]
where p is the sample proportion (0.44), n is the sample size (2,277), and z is the critical value for a 99% confidence level, which can be obtained from a standard normal distribution table or calculator. The value of z is approximately 2.58.
Plugging in the values, we get:
CI = 0.44 ± 2.58*sqrt[(0.44 * 0.56) / 2,277]
CI = 0.44 ± 0.032
CI = (0.408, 0.472)
Therefore, we can say with 99% confidence that the true proportion of voters who approve the president's performance lies between 40.8% and 47.2%.
(c) Since the 99% confidence interval does not include 50%, we can say that it is unlikely that the true proportion of voters who approve of the president's performance is 50%. However, we cannot rule out the possibility completely since the confidence interval is an estimate and there is still some level of uncertainty involved.
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two pieces of metal measure one and one sixth yards and three twelfths yards each. three times the amount of metal is needed for a project. how many total yards of metal is needed?
According to using the arithmetic operations the total yards of metal is needed = 4(1/4).
What is Asthmatic operation?The study and application of numbers in all other branches of mathematics is the focus of the branch of mathematics known as arithmetic operations. In essence, it consists of addition, subtraction, multiplication, and division operations.
What rules govern mathematical operations?There are several laws that control the order in which you do operations in math and algebra. The three that receive the most focus are the distributive, associative, and commutative laws. Over time, people have come to realize that the order of the numbers is irrelevant when adding or multiplying.
According to the given information:First pieces of metal = 1 *(1/6)
= 7/6
Second pieces of metal = 3/12
Adding both the pieces :
=7/6 + 3/12
= (14 + 3)12
= 17/12.
now,
multiply that by 3.
We get:
= (17/12)*3
= 17/4
= 4(1/4)
According to using the arithmetic operations the total yards of metal is needed = = 4(1/4).
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Which of the following is not included in the cost of merchandise inventory? O Purchase discounts. O Purchase returns and allowances. O Purchase price of the inventory. O Freight costs paid by the seller. O Freight costs paid by the buyer. 4 pts 0 Question 2 Sunshine Cleaning purchased $3,500 worth of merchandise. The seller offered a 2% cash discount. Transportation costs for the buyer were an additional $310. The company returned $240 worth of merchandise and then paid the invoice within the discount period. The total cost of this merchandise is: O $3.570.00. O $3,500.00 O $3,332.00 O $3,430.00. $3,504.80 Question 5 A company has not sales of $759.300 and cost of goods sold of $548.300. Its not income is $10.280. The company's gross margin and operating expenses, respectively, are: O $211.000 and $230,750 $739.550 and $191,720 O $529,020 and $230.750 O $211.000 and $191,720 $230,750 and $529,020 4 pts D D Question 5 A company has not sales of $750,300 and cost of goods sold of $548,300. Its not income is $10.280 The company's groas margin and operating expenses, respectively, arm O $211,000 and $230,750 O $739,550 and $191,720 $529,020 and $230,750 O $211.000 and $191,720 O $230.750 and $529,020 Question 6 Sales less sales discounts, less sales returns and allowances equals: Cost of Goods Sold Net Income O Net Sales O Gross Profit 4 pts 4 pts Goods in transit are included in a purchaser's inventory: O At any time during transit. O After the half-way point between the buyer and seller, When the supplier is responsible for freight charges. When the goods are shipped FOB shipping point. OIf the goods are shipped FOB destination. Question 11 The inventory costing method that smooths out erratic changes in costs is: O LCM. O FIFO. OLIFO. O Specific Identification. O Weighted average. 4 t ne 0 Question 12 Krusty Krab has the following products in its ending inventory Compute lower of cost or market for inventory. applied separately to each product Inventory by Product Product Quantity Cost per Unit 500 $ 500 $ 30 600 Scuba Masks Scuba Sults O $265,000 O $290,000. O $250,000 $268,000 O $275,000. Question 13 Market per Unit $ 550 $ 25 If equity is $368,000 and liabilities are $186,000, then assets equal: O $554,000. $922,000. $368,000. $186,000. O $182,000. 2 pts
Question 1: The item not included in the cost of merchandise inventory is "Purchase discounts."
2: The total cost of the merchandise is $3,332.00.
5: The company's gross margin and operating expenses, are $211,000 and $191,720.
What is the cost of merchandise inventory?Merchandise inventory expenses normally consist of the price paid for the inventory, deductions from the purchase price resulting from purchase returns and allowances, and freight expenses paid by the purchaser.
Although purchase discounts reduce the cost of merchandise inventory, they are not considered part of it. Instead, they are treated as a distinct discount in the accounting records.
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QUICK!!! PLEASE HELP!!! 50 points.. and BRAINLIEST FOR THE QUICK AND CORRECT ANSWER.
A cable car begins its trip by moving up a hill. As it moves up, it gains elevation at a constant rate of 50 feet/minute until it reaches the peak at 2,000 feet. Then, as the car moves down to the hill’s base, its elevation drops at the same rate. The equation that models the cable car’s elevation, e, after t minutes is e = |t − | + . The cable car’s elevation will be 750 feet after minutes. (image attached)
Answer: \(e=-50|t-40|+2000\)
The cable car’s elevation will be 750 feet after 15 minutes or 65 minutes.
Step-by-step explanation:
Given: A cable car begins its trip by moving up a hill. As it moves up, it gains elevation at a constant rate of 50 feet/minute until it reaches the peak at 2,000 feet.
Then, total time taken to reach the peak = (Distance) ÷ (speed)
= (2,000 feet) ÷ ( 50 feet/minute)
= 40 minutes
Then, as the car moves down to the hill’s base, its elevation drops at the same rate.
The equation that models the cable car’s elevation, e, after t minutes is
e= (constant rate)|t- time to reach peak |+ Peak's height
\(e=-50|t-40|+2000\)
When the cable car’s elevation will be 750 feet after minutes, then we have
\(750=-50|t-40|+2000\\\\\Rightarrow\ -50|t-40|=750-2000\\\\\Rightarrow\ -50|t-40|=1250\\\\\Rightarrow|t-40|=-\dfrac{1250}{50}\\\\\Rightarrow|t-40|=-25\\\\\Rightarrow t-40=-25\text{ or }t-40=25\\\\\Rightarrow t=-25+40\text{ or }t=25+40\\\\\Rightarrow t=15\text{ or }t=65\)
Time cannot be negative, so the cable car’s elevation will be 750 feet after 15 minutes or 65 minutes.
What is the percentage of 377 of 325?
Answer: 116%
Hope this helps.