The list price of the clock is $375.50.
How to calculate the costFrom the information, Howard's pawn shop bought an antique clock at the wholesale price of $725. Howard marked up the price of the clock 30%.
The new price will be:
= $725 + (30% × $725)
= $275 + $82.5
= $357.5
Therefore, the list price of the clock is $375.50.
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Omar has 24 camival ride tickets and it takes 5 tickets to ride the roller coaster how many times can he ride the ride and how many tickets will have left over
Answer:
Omar can ride the roller coaster 4 times and will have 4 tickets leftover.
Step-by-step explanation:
For a more simple problem like this, long division is not necessary.
You may have learned the technique of finding how many times a divisor can "go in" to the dividend.
In this case, 5 (the cost of riding the coaster) can go into 24 (the amount Omar has) 4 times, because 5, 10, 15, 20. However, going in one more time puts us at 25, which Omar does not have, so 5 can only go into 24 5 times.
Since there is still 4 tickets leftover, Omar can ride the coaster 4 times, and will have 4 tickets left.
At a sale, dresses were sold for $17 each. This price was 85% of a dress's original price. How much did a dress originally cost?
The original cost of the dress is $14.45
How to calculate the original cost of the dress ?The dresses were sold for $17 each
This price was 85% of the original price
Therefore the original cost of the dress can be calculated as follows
85/100= 0.85
The first step is to calculate the original pre sale price
17= 0.85x
x= 17/0.85
= 20
The original cost of the cloth is
= 0.85 × 17
= 14.45
Hence the original cost of the cloth is $14.45
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Find the first five terms of the recursive sequence. Show all your work. an = 3a n-1 - 6 where a1 = 7
======================================================
Work Shown:
First replace every copy of n with 2
[tex]a_n = 3*(a_{n-1}) - 6\\\\a_2 = 3*(a_{2-1}) - 6\\\\a_2 = 3*(a_{1}) - 6\\\\a_2 = 3*(7) - 6\\\\a_2 = 21 - 6\\\\a_2 = 15\\\\[/tex]
Notice how the second term [tex]a_2[/tex] relies on the first term [tex]a_1[/tex]
Then repeat for n = 3
[tex]a_n = 3*(a_{n-1}) - 6\\\\a_3 = 3*(a_{3-1}) - 6\\\\a_3 = 3*(a_{2}) - 6\\\\a_3 = 3*(15) - 6\\\\a_3 = 45 - 6\\\\a_3 = 39\\\\[/tex]
Same goes with n = 4
[tex]a_n = 3*(a_{n-1}) - 6\\\\a_4 = 3*(a_{4-1}) - 6\\\\a_4 = 3*(a_{3}) - 6\\\\a_4 = 3*(39) - 6\\\\a_4 = 117 - 6\\\\a_4 = 111\\\\[/tex]
Finally plug in n = 5
[tex]a_n = 3*(a_{n-1}) - 6\\\\a_5 = 3*(a_{5-1}) - 6\\\\a_5 = 3*(a_{4}) - 6\\\\a_5 = 3*(111) - 6\\\\a_5 = 333 - 6\\\\a_5 = 327\\\\[/tex]
-----------------------------------
We have this summary:
[tex]a_1 = 7\\\\a_2 = 15\\\\a_3 = 39\\\\a_4 = 111\\\\a_5 = 327\\\\[/tex]
The first five terms are: 7, 15, 39, 111, 327
PLEASE HELP ME. DUETODAY. NEED ANSWER ASAP!!!!!!
Answer: 120 ==> scale
8.4 m==> longer side
Step-by-step explanation:
6 m=
6*100 cm=600 cm
600/5=120 ==> scale
7*120=840 cm
840 cm=
840/100 m=8.4 m ==> longer side
❌❌PLEASE HELPILL MARK BRAINLIEST❌❌❌Does coordinate m or coordinate n represent a greater number in the following parallelogram?
(0,1)
Choose 1 answer:
B
(3,5)
m
n
(m, n)
(10,5)
Answer:
m will be the right answer
PLEASE I NEED HELP AND DONT UNDERSTAND ITS DUE TODAY! PLEASE SHOW STEP BY STEP! thanks!
The number of line segments in the 100th pattern is equal to 201 line segments.
What is the pattern behind the construction of equillateral triangles?
Triangles are polygons with three sides of equal length, herein we find constructions elaborated with equilateral triangles, in which two new line segments are added when an equilateral triangle is so. Then, the number of line segments can be modelled after the following linear progression formula:
n = 3 + 2 · (n - 1)
Where n is the number of equilateral triangles in the pattern.
If we know that n = 100, then the number of line segments is:
n = 3 + 2 · (100 - 1)
n = 3 + 2 · 99
n = 3 + 198
n = 201
The number of line segments in the 100th pattern is equal to 201 line segments.
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could I have some help on my patterns assignment
Answer:
1. 13, 18, 23, 28, 33, 38, 43, 48, 53
Conjecture: Each term is 5 more than the previous term.
2. 512, 256, 128, 64, 32, 16, 8, 4, 2
Conjecture: Each term is half of the previous term.
3. 1, 8, 27, 64, 125, 216, 343, 512, 729
Conjecture: Each term is a cube. To find the nth term, cube n.
4. 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31
Conjecture: Each term is the next consecutive prime number.
5. Correct as is
6. 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89
Conjecture: Each term is the sum of the 2 previous numbers.
Step-by-step explanation:
1.
Given: 13, 18, 23, 28
We add 5 to each number
13 + 5 = 18
18 + 5 = 23
23 + 5 = 28
28 + 5 = 33
33 + 5 = 38
38 + 5 = 43
43 + 5 = 48
48 + 5 = 53
2.
Given : 512, 256, 128, 64
Divide each number by 2
512 ÷ 2 =256
256 ÷ 2 = 128
128 ÷ 2 = 64
64 ÷ 2 = 32
32 ÷ 2 = 16
16 ÷ 2 = 8
8 ÷ 2 = 4
4 ÷ 2 = 2
3.
Given: 1, 8, 27, 64
We have to cube n:
n³ = consecutive number cubed
1³ = 1 or 1 × 1 × 1
2³ = 8 or 2 × 2 × 2
3³ = 27 or 3 × 3 × 3
4³ = 64 or 4 × 4 × 4
5³ = 125 or 5 × 5 × 5
6³ = 216 or 6 × 6 × 6
7³ = 343 or 7 × 7 × 7
8³ = 512 or 8 × 8 × 8
9³ = 729 or 9 × 9 × 9
4.
Consecutive prime number: Consecutive prime numbers are those that have no gaps or prime numbers between them.
Look at the picture in the link:
6.
Given: 1, 1, 2, 3, 5, 8
We must add the two previous numbers to get the next term:
1 + 1 = 2
1 + 2 = 3
2 + 3 = 5
3 + 5 = 8
5 + 8 = 13
8 + 13 = 21
13 + 21 = 34
21 = 34 = 55
34 + 55 = 89
A thermometer in Grand Forks, North Dakota, reads -4.5 °F in January.
The temperature on the same day in February has the same absolute value
as the temperature in January but is not the same temperature. What is
the temperature in February?
According to this the temperature in February = 4.5°F.
What do you mean by absolute value:The absolute value (or modulus) of a real number x is its non-negative value regardless of its sign. For example, 5 has an absolute value of 5, and 5 has an absolute value of 5. A number's absolute value can be conceived of as its proximity from zero along the real number line.
Briefing:The temperature on the same day in February has the same absolute vale as the temperature in the January, but is not the same temperature according to this the temperature in February = 4.5°F.
According to the data:The absolute value is the same but not the same temperature:
|-4.5| = 4.5
So,
Its 4.5°F
According to this the temperature in February = 4.5°F.
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Given that set A has 73 elements and set B has 29 elements, determine the maximum possible number of elements in A ∩ B
The perimeter of the triangle below is 54 units. Find the value of y.
Answer:
y = 7
Step-by-step explanation:
3y + (y+1) + (4y-3) = 54
3y + y + 4y + 1 - 3 = 54
8y - 2 = 54
8y = 54 + 2
8y = 56
y = 56/8
y = 7
Check:
3*7 + (7+1) + ((4*7)-3) = 54
21 + 8 + 28-3 = 54
29 + 25 = 54
-4p + (-2) +2p + 3 combine like terms
Answer:
Step-by-step explanation:
-4p+-2= -6p
-6p+2= -4p
-4p+3= -1p
= -1p
1. Identify the error.
Determine the coordinates for A' after a
reflection over the x-axis.
B
D
The coordinates for A' will be (3, 1).
(3, -1)
Any point can be located using a Cartesian coordinate system or coordinate system, and that point can be displayed as an ordered pair (x, y) known as Coordinates. The origin, denoted by the letter "O," is the point where the two number lines intersect. The horizontal number line is known as the X-axis, and the vertical number line is known as the Y-axis.
Reflection of a coordinate in x-axis, negates the y - coordinate.
So, negation of 1 = -1
So, the new coordinate is ( 3, -1)
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Complete the equation and tell which property you used 21× =9×21
After cross multiplying the given equation the value of x turns out to be 9.
What is cross multiplication?
In mathematics, specifically in abecedarian computation and abecedarian algebra, given an equation between two fragments or rational expressions, one can cross-multiply to simplify the equation or determine the value of a variable.In cross-multiplication, we multiply the numerator of the first bit with the denominator of the alternate bit and the numerator of the alternate bit with the denominator of the first bit. Cross-multiplication can be used to add or abate unlike fragments snappily.Cross-multiplication is also appertained to as a butterfly system.21 × X =9×21
X = 9
After cross multiplying the given equation the value of x turns out to be 9.
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Which property of addition is shown in the equation below?
a + bi + 0 + 0i = a + bi
The property of addition that represents this is the zero property of addition
How to determine the property of addition?The equation is given as:
a + bi + 0 + 0i = a + bi
In the above equation, the number is added by 0 and the result is the initial number
The property of addition that represents this is the zero property of addition
Because it states that
a + 0 = 0
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The order in which a ratio is written is _____ to the meaning.
Answer:
1propotion 2fraction is how it goes
What is the answer 8÷2(2+2)
Answer:
16
Step-by-step explanation:
BODMAS
Brackets first, 2+2 = 4
8÷2 = 4
4 x 4 = 16
You, Newton, and Descartes have
17 stampers in all. Newton and Descartes each
have 6. How many stampers do you have?
I will have 5 stampers
How to calculate the number of stampers left ?I, Newton and Descartes have 17 Stampers in total
Newton and Descartes have 6 stampers each
6 + 6
= 12
The number of stampers left for me can be calculated as follows
= 17 - 12
= 5
Hence I have 5 stampers
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Required information
Skip to question
[The following information applies to the questions displayed below.]
Kubin Company’s relevant range of production is 12,000 to 16,000 units. When it produces and sells 14,000 units, its average costs per unit are as follows:
Average Cost per Unit
Direct materials $ 7.30
Direct labor $ 4.30
Variable manufacturing overhead $ 1.80
Fixed manufacturing overhead $ 5.30
Fixed selling expense $ 3.80
Fixed administrative expense $ 2.80
Sales commissions $ 1.30
Variable administrative expense $ 0.80
Required:
1. Assume the cost object is units of production:
a. What is the total direct manufacturing cost incurred to make 14,000 units?
b. What is the total indirect manufacturing cost incurred to make 14,000 units?
2. Assume the cost object is the Manufacturing Department and that its total output is 14,000 units.
a. How much total manufacturing cost is directly traceable to the Manufacturing Department?
b. How much total manufacturing cost is an indirect cost that cannot be easily traced to the Manufacturing Department?
3. Assume the cost object is the company’s various sales representatives. Furthermore, assume that the company spent $39,200 of its total fixed selling expense on advertising and the remainder of the total fixed selling expense comprised the fixed portion of the company's sales representatives’ compensation.
a. When the company sells 14,000 units, what is the total direct selling expense that can be readily traced to individual sales representatives?
b. When the company sells 14,000 units, what is the total indirect selling expense that cannot be readily traced to individual sales representatives?
. Assume the cost object is units of production:
a. What is the total direct manufacturing cost incurred to make 14,000 units?
b. What is the total indirect manufacturing cost incurred to make 14,000 units?
Note: For all the requirements, round per unit values to 2 decimal places.
Show less
1a. Direct material cost per unit
1a. Direct labor cost per unit
1a. Direct manufacturing cost per unit $0.00
1a. Number of units produced and sold
1a. Total direct manufacturing cost $0
1b. Variable manufacturing overhead per unit
1b. Fixed manufacturing overhead per unit
1b. Indirect manufacturing cost per unit $0.00
1b. Number of units produced and sold
1b. Total indirect manufacturing cost $0
1a)The total direct manufacturing cost incurred to make 14,000 units is $162,400.
1b)The total indirect manufacturing cost incurred to make 14,000 units is $99,400.
2a)The total manufacturing cost directly traceable to the Manufacturing Department is $261,800.
2b)The total fixed portion of the sales representatives’ compensation is $14,000.
3a)The total direct selling expense that can be readily traced to individual sales representatives is $32,200.
3b)The total fixed portion of the sales representatives’ compensation is $14,000.
Cost Accounting is a procedure in which raw data are refined and provides information to the management which plays an important role in the decisions to be taken. The product costs and cost of services can be ascertained with the help of cost accounting.
In variable costing only the manufacturing costs which vary with the output are treated as product costs. As such only the variable part of the manufacturing cost like direct materials, direct labor and variable portion of manufacturing overhead is treated as product cost.
The costs which are incurred for the production of a product are product costs. The costs which are the considered and included in the product costs are direct materials, direct labor and manufacturing overhead.
The costs which are expensed when incurred are referred to as period costs. These costs are not capitalized. These costs are not considered as a part of cost of goods sold. It includes selling expenses, advertising expenses, depreciation expense etc.
Those costs which remain constant and do not change with the changes in the level of activity are known as fixed costs. It is also referred to as time-related costs. Examples of fixed expense are: Fixed factory overhead, Fixed selling and administrative expense, Depreciation, Property taxes.
When the manufacturing department is the cost object, then in such a case the cost incurred for manufacturing the product also includes the manufacturing overhead costs. Such costs are to be directly traced to the products. So, the total direct manufacturing cost incurred is computed by multiplying the cost per unit obtained by adding the direct materials, direct labor, variable manufacturing cost per unit and fixed manufacturing cost per unit by the number of units. Therefore, the total direct manufacturing cost incurred to make 14,000 units is $261,800.
When the manufacturing department is the cost object, then the costs incurred in the manufacturing department is to be allocated to the products directly. Such costs are directly traceable to the products. When the cost object is Manufacturing Department then the indirect manufacturing costs does not exist because the costs are traceable to the Manufacturing Department easily. Therefore, the manufacturing costs are not to be considered as indirect costs when the Manufacturing Department is the cost object.
The total fixed selling expense is computed by multiplying the fixed selling expense per unit by the number of units. Then, the amount of advertising expense is deducted from the total fixed selling expense to compute the fixed portion of the sales representatives’ compensation. Therefore, the amount of fixed portion of the sales representatives’ compensation is $14,000.
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PLS ANSWER ASAP
Solve for g. − 3 + 5 + 6 g = 11 − 3 g
I need help with this
Answer: last one
Step-by-step explanation:
I think it's the last one because the value of 8 is negative and the value of 1 is positive. however, rita changes the negative and positive numbers and thats why she is wrong.
(3x + 5) + (x - 1) =90
Answer:
Step-by-step explanation:
x=
43/2
Answer:
[tex]x=\frac{43}{2}[/tex]
Step-by-step explanation:
[tex]Rule: \left(a\right)=a\\=3x+5+x-1=90\\3x+x+5-1=90\\3x+x=4x \rightarrow 4x+5-1=90\\5-1=4 \rightarrow 4x+4=90\\(-4)~4x+4-4=90-4\\4x=86\\(\div 4)~\frac{4x}{4}=\frac{86}{4}\\x=\frac{43}{2}[/tex]
A prize of $20,000 is to be shared by two winners of a contest in the ratio of 6 to 4. What is the larger share worth? What is the smaller share worth?
Answer:
Mark me brainliest hope your day goes wellGraph the line containing the given pair of points and find
the slope.
(-5,5), (0,1)
Answer: See attached for the graph. The slope is [tex]\frac{-4}{5}[/tex].
Step-by-step explanation:
First, we will graph the points.
See attached.
Next, we will find the slope. This can be done with "rise over run". We will start at (-5, 5) and count 4 down and 5 right to (0, 1). This gives us a slope of;
[tex]\frac{-4}{5}[/tex]
73 term for the arithmetic sequence 18,30,42
The 73rd term of the arithmetic sequence 18,30,42 = 882.
What is arithmetic sequence ?An arithmetic sequence seems to be a series of numbers that are ordered and share a common difference amongst each succeeding term. There are arithmetic sequences 3, 9, 15, 21, and 27, for example, the common difference is 6. An arithmetic progression is another name for an arithmetic sequence.
What does not constitute an arithmetic sequence?The sequence is not arithmetic if the difference between subsequent terms is not constant. Subtracting two consecutive elements from the sequence yields a common difference.
According to the given data:Let us now look for the explicit rule for with this arithmetic sequence. We have the following:
aₙ = a₁ + (n - 1) * d
= 18 + 12 * (n - 1)
= 12n + 6.
The 73rd term is 12 (73) + 6 = 882.
The 73rd term of the arithmetic sequence 18,30,42 = 882.
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Suppose that u and v are two vectors with |u| = 1, |v| = 3 and u · v = −2.
a. Compute |u + v|.
b. Compute |(u + 2v) × v|.
a. |u + v| = 4
b. |(u + 2v) × v| = 16
What are vectors?Vectors are known as quantities having both magnitude and direction.
Given that;
|u| = 1 |v| = 3 u · v = −2a. |u + v|
Substitute the values of the vectors
|u + v| = 1 + 3
|u + v| = 4
b. |(u + 2v) × v|
Expand the bracket
|u. v + 2v² |
But u. v = -2
We then have;
-2 + 2(3)²
-2 + 2(9)
-2 + 18
16
Thus, the values are 4 and 16 respectively.
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Help!!!!!!Angle DFG and angleJKL are complementary angles. If the measure if the angle DFG=x+2 and the measure of the angle JKL =x+9 then find x.
∠DFG and ∠JKL are complementary angles
Measure of each angle
Given :
∠DFG and ∠JKL are complementary angles. m∠DFG = x + 5,
and m∠JKL = x − 1
When two angles are complementary then the sum of angles is 90 degrees
∠DFG and ∠JKL are complementary angles.
So,
Now replace the expressions and solve for x
Now replace x with 43 and find out each angle
2x+1=2x-1 what is x equaled too
Answer:
x ≤ 0 = no solution
Step-by-step explanation:
[tex]\sf (-2x)2x+1-2x=2x-1-2x\\1=-1\\= 0\\No~solution.[/tex]
?
5
Find the arc length of the semicircle.
Either enter an exact answer in terms of π or use 3.14 for π and enter your answer as a decimal.
units
Show Calculator
The length of the arc is calculated for the given semicircle as 15.7 units.
What exactly is a semicircle?When a circle is split in half it along diameter, a semicircle is formed. The 2 halves are the same size.A semicircle, also defined as a ½, is a folded circular sheet plate in half.The semicircle has one symmetry line, which is recognized as the reflection symmetry.The semicircle's arc everytime measures 180° because it is half of the a 360° circle.For, the given question.
The radius of the semicircle is 5 units.
The length of the arc of semicircle is equal to the perimeter of the semicircle.
The formula for perimeter;
P = πr
where, r is the radius and π = 3.14.
Put the values in the formula.
Perimeter = 3.14×5
Perimeter = 15.7 units.
Therefore, the length of the arc of the semicircle is 15.7 units.
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PLEASE ANSWERING THIS QUESTIONS!!
The length of a rectangle is two more than double the width. If the perimeter is 82 inches, find the dimensions.
The width is (Blank) inches.
The length is (Blank) inches.
Rules answering these questions:
Explain your answer!
Do not spam answers!
Show your work!
Nonsense answers will be reported and delete your answers.
Thanks!
[tex]\huge\mathcal {♨Answer♥}[/tex]
Let's get the width as [tex]\large\texttt {x}[/tex]
So,
The length of the rectangle is [tex]\large\texttt {2x +2}[/tex]
The perimeter of the rectangle is [tex]\large\texttt {82 inches}[/tex]
Let's get the answer for width,
☆ 2 (2x + 2) + 2x = 82
4x + 4 + 2x = 82
6x + 4 = 82 - 4
6x ÷ 6 = 78 ÷ 6
x = 13
Let's get the answer for length,
☆ 2x + 2
2 × 13 + 2
28
Then,
[tex]\large\texttt {↪The width is 13 inches}[/tex]
[tex]\large\texttt {↪The length is 28 inches}[/tex]
☆...hope this helps...☆
_♡_mashi_♡_
Use a calculator to find a decimal approximation for the following trigonometric function sin 28°48
The decimal approximation for the trigonometric function sin 28°48' is
Given the trigonometric function is sin 28°48'
The ratio between the adjacent side and the hypotenuse is called cos(θ), whereas the ratio between the opposite side and the hypotenuse is called sin(θ). The sin(θ) and cos(θ) values for a given triangle are constant regardless of the triangle's size.
To solve this, we are going to convert 28°48' into degrees first, using the conversion factor 1' = 1/60°
sin (28°48') = sin(28° ₊ (48 × 1/60)°)
= sin(28° ₊ (48 /60)°)
= sin(28° ₊ 4°/5)
= sin(28° ₊ 0.8°)
= sin(28.8°)
= 0.481753
Therefore sin (28°48') is 0.481753.
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