Answer:d and a
Step-by-step explanation:
Bally Manufacturing sent Intel Corporation an invoice for machinery with a $13,100 list price. Bally dated the invoice August 01 with 3/10
EOM terms. Intel receives a 40% trade discount. Intel pays the invoice on August 14. On August 10, Intel Corporation returns $100 of the machinery due to defects. What does Intel pay Bally on August 14?
The Intel pays $7,760 to Bally Manufacturing on August 14.
The first step in calculating what Intel Corporation pays Bally on August 14 is to determine the net price of the machinery after the trade discount and the return of $100 due to defects.
The trade discount of 40% is calculated as follows:
Discount = List price × Discount rate
Discount = $13,100 × 0.40 = $5,240
So the net price of the machinery after the trade discount is:
Net price = List price - Discount
Net price = $13,100 - $5,240 = $7,860
After Intel returns $100 of machinery, the cost of the machinery is further reduced to:
Net price after return = Net price - Return
Net price after return = $7,860 - $100 = $7,760
Since the payment terms are 3/10 EOM (end of month), Intel receives a discount of 3% if payment is made within 10 days. The 10-day period begins on August 1 and ends on August 10 (the payment due date). Since Intel pays the bill on August 14, payment is late and the 3% discount does not apply.
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0.4 decimal to a fraction
2/5
Step-by-step explanation:
0.4
= 4/10 → divided by 2
= 2/5
A cylinder open on both ends has a diameter of 10 decimeters(dm) and a height of 10 decimeters(dm). What is the
surface area of the cylinder?
314 dm ²
471 dm ²
628 dm ²
157dm2
the surface area of the cylinder is approximately 471 dm².
Now, For the surface area of the cylinder, we need to find the lateral area and the area of the two circular bases.
Since, The formula for the lateral area of a cylinder is
L = 2πrh,
where r is the radius of the cylinder and h is the height.
In this case, the diameter is 10 dm,
So the radius is 5 dm.
And the height is also 10 dm.
Therefore, the lateral area is:
L = 2πrh
L = 2π(5 dm)(10 dm)
L = 100π dm²
The formula for the area of a circle is
A = πr²,
where r is the radius.
In this case, the radius is 5 dm,
So the area of each base is:
A = πr²
A = π(5 dm)²
A = 25π dm²
To find the total surface area, we add the lateral area and the area of the two bases:
SA = 2(Area of Base) + Lateral Area
SA = 2(25π dm²) + 100π dm²
SA = 50π dm² + 100π dm²
SA = 150π dm²
Substitute pi as 3.14, we can calculate:
SA ≈ 150(3.14) dm²
SA ≈ 471 dm²
Therefore, the surface area of the cylinder is approximately 471 dm².
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A pound of chocolate costs 8 dollars. Maria buys p pounds. Write an equation to represent the total cost c that Maria pays
Answer: 8p=c
Step-by-step explanation:
Based on the graph, if Joe earned $400, how many hours did he work?
What the meaning of statement this?
For the ordinal number, this statement means;
1. "α < β if an only if α ∈ β": This is saying that an ordinal number α is less than an ordinal number β if and only if α is a member of β and α is a subset of β.
2. "α = {β : β < α}" can be interpreted as: "α is the set of all ordinals β such that β is less than α".
What more should you know about the ordinal number?1. "α < β if an only if α ∈ β": This is saying that an ordinal number α is less than an ordinal number β if and only if α is a member of β.
In other words, α is less than β if and only if α is contained within β and every element of α is less than or equal to every element of β.
This is a fundamental property of ordinal numbers and is based on the von Neumann definition of ordinals where each ordinal is the well-ordered set of all smaller ordinals.
For an example of how this definition can be used. Let α = 1 and β = 2. Then, α is a member of β because 1 is a natural number and 2 is a natural number.
Additionally, α is a subset of β because every element of α, which is just 1, is less than or equal to every element of β, which is just 2. Therefore, α < β according to the definition.
2. "α = (β : β < α)" is a definition of ordinal numbers in set theory. It says that an ordinal number α is the set of all ordinal numbers that are less than α. In other words, α is the set of all ordinal numbers that are smaller than α.
For example, when we use the von Neumann definition, the ordinal number 3 would be represented as the set {0, 1, 2} because 0, 1, and 2 are the ordinal numbers less than 3.
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Which of the following statements are true about solids shown above
Check all that apply
A prism a has a lateral surface are of 60 cm 2
B prism b has a total surface are of 110 cm 2
C prism b has larger surface area
D prisms A and B have different values for lateral surface area
Ans its b and c
Step-by-step explanation:
what is the solution to the equation below? sqrt 2-3x / sqrt 4x =2
The solution to the equation sqrt 2-3x / sqrt 4x = 2 is x = -2/3.
To solve the equation, we must first clear the denominators and simplify the equation. We can do this by multiplying both sides by sqrt(4x) and then squaring both sides. This gives us:
sqrt 2-3x = 4sqrt x
2 - 6x + 9x² = 16x
9x² - 22x + 2 = 0
Using the quadratic formula, we can find that x = (-b ± sqrt(b² - 4ac)) / 2a. Plugging in a = 9, b = -22, and c = 2, we get:
x = (-(-22) ± sqrt((-22)² - 4(9)(2))) / 2(9)
x = (22 ± sqrt(352)) / 18
x = (22 ± 4sqrt22) / 18
Simplifying this expression, we get:
x = (11 ± 2sqrt22) / 9
Therefore, the solution to the equation is x = -2/3.
To solve the equation sqrt 2-3x / sqrt 4x = 2, we must clear the denominators and simplify the equation. This involves multiplying both sides by sqrt(4x) and then squaring both sides.
After simplifying, we end up with a quadratic equation. Using the quadratic formula, we can find that the solutions are x = (11 ± 2sqrt22) / 9.
However, we must check that these solutions do not result in a division by zero, as the original equation involves square roots. It turns out that the only valid solution is x = -2/3.
Therefore, this is the solution to the equation.
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A 10 lb. bag of cherries costs $35.50.
Find the unit rate
Answer:
1 lb. bag of cherries costs $3.55
I need help guys please help
write an equation in slope intercept form that passes through the given point and is perpendicular to the graph of given equation (1,-2) y=5x+4
The equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.
To find an equation in slope-intercept form that passes through the point (1, -2) and is perpendicular to the given equation y = 5x + 4, we need to determine the slope of the perpendicular line.
The given equation y = 5x + 4 is already in slope-intercept form (y = mx + b), where m represents the slope. In this case, the slope of the given line is 5.
To find the slope of a line perpendicular to this, we use the fact that the product of the slopes of two perpendicular lines is -1. So, the slope of the perpendicular line can be found by taking the negative reciprocal of the slope of the given line.
The negative reciprocal of 5 is -1/5.
Now that we have the slope (-1/5) and a point (1, -2), we can use the point-slope form of the equation:
y - y1 = m(x - x1)
Substituting the values:
y - (-2) = (-1/5)(x - 1)
Simplifying:
y + 2 = (-1/5)(x - 1)
To convert the equation into slope-intercept form (y = mx + b), we need to simplify it further:
y + 2 = (-1/5)x + 1/5
Subtracting 2 from both sides:
y = (-1/5)x + 1/5 - 2
Combining the constants:
y = (-1/5)x - 9/5
Therefore, the equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.
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A drawer contains black socks and white socks. A person randomly selects two socks without replacement. The probability of selecting two black socks is 120703 and the probability of selecting a black sock on the first draw is 819. What is the probability of selecting a black sock on the second draw given that a black sock was selected on the first draw
Answer:
0.4054 = 40.54% probability of selecting a black sock on the second draw given that a black sock was selected on the first draw
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)
In which
P(B|A) is the probability of event B happening, given that A happened.
\(P(A \cap B)\) is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Black sock on the first draw.
Event B: Black sock on the second draw.
The probability of selecting a black sock on the first draw is 8/19.
This means that \(P(A) = \frac{8}{19}\)
Black socks on both draws:
The probability of selecting two black socks is 120/703
This means that \(P(A \cap B) = \frac{120}{703}\)
What is the probability of selecting a black sock on the second draw given that a black sock was selected on the first draw?
\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)
\(P(B|A) = \frac{\frac{120}{703}}{\frac{8}{19}}\)
\(P(B|A) = \frac{120}{703}*\frac{19}{8}\)
\(P(B|A) = \frac{120*19}{703*8}\)
\(P(B|A) = 0.4054\)
0.4054 = 40.54% probability of selecting a black sock on the second draw given that a black sock was selected on the first draw
This semester Hung Lee took four 3-credit courses at Pikes Peak Community College. She received an A in accounting and C’s in history, psychology, and algebra. What is her cumulative grade point average (assume A = 4 and C = 2)
The cumulative grade point average of Hung Lee is 2.5.
It is given in the question that:-
A = 4
B = 3
C = 2
Grade received in Accounting = A
Grade received in History = C
Grade received in Psychology = C
Grade received in Algebra = C
We have to find her cumulative grade point average.
We know that:-
The cumulative grade point average of Hung Lee will be:-
Sum of grade point averages in the all the courses/Total number of courses
Hence, we can write,
The cumulative grade point average of Hung Lee is given by:-
(4+2+2+2)/4 = 2.5
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Merone Company allocates materials handling cost to the company's two products using the below data:
Modular Homes Prefab Barns
Total expected units produced 5,900 8,900
Total expected material moves 590 190
Expected direct labor-hours per unit 790 290
The total materials handling cost for the year is expected to be $325,890.
If the materials handling cost is allocated on the basis of material moves, the total materials handling cost allocated to the modular homes is closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$246,507.90
$160,629.00
$213,514.00
$238,382.50
Merone Company allocates materials handling cost to the company's two products using the below data:
Modular Homes Prefab Barns
Total expected units produced 6,000 9,000
Total expected material moves 600 200
Expected direct labor-hours per unit 800 300
The total materials handling cost for the year is expected to be $300,000.
If the materials handling cost is allocated on the basis of direct labor-hours, the total materials handling cost allocated to the prefab barns is closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$105,000.00
200,000.00
$150,204.00
$108,000.00
Spates, Incorporated, manufactures and sells two products: Product H2 and Product E0. Data concerning the expected production of each product and the expected total direct labor-hours (DLHs) required to produce that output appear below:
Expected Production Direct Labor-Hours Per Unit Total Direct Labor-Hours
Product H2 190 6.9 1,311
Product E0 190 5.9 1,121
Total direct labor-hours 2,432
The company’s expected total manufacturing overhead is $270,968.
If the company allocates all of its overhead based on direct labor-hours, the overhead assigned to each unit of Product H2 would be closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$222.84 per unit
$126.48 per unit
$768.80 per unit
$96.36 per unit
Doles Corporation uses the following activity rates from its activity-based costing to assign overhead costs to products.
Activity Cost Pools Activity Rate
Setting up batches $ 70.72 per batch
Processing customer orders $ 27.78 per customer order
Assembling products $ 12.81 per assembly hour
Data concerning two products appear below:
Product K52W Product X94T
Number of batches 66 53
Number of customer orders 46 31
Number of assembly hours 419 162
Required:
How much overhead cost would be assigned to each of the two products using the company's activity-based costing system? (Round your intermediate calculations and final answers to 2 decimal places.)
The total materials handling cost allocated to the modular homes is $246,372.84.
The total materials handling cost allocated to the Prefab Barns is closest to $108,000.
What is the total materials handling cost allocated?To allocate materials handling cost based on material moves, we must determine proportion of material moves for each product and then apply that proportion to the total materials handling cost.
Proportion of material moves for Modular Homes:
= (Total expected material moves for Modular Homes) / (Total expected material moves for both products)
= 590 / (590 + 190)
= 0.756
Total materials handling cost allocated to Modular Homes:
= Proportion of material moves for Modular Homes * Total materials handling cost
= 0.756 * $325,890
= 246 372.84
= $246,372.84.
To allocate the materials handling cost based on direct labor-hours, we need to determine proportion of direct labor-hours for each product.
For Modular Homes:
Total direct labor-hours for Modular Homes:
= 6,000 units * 800 hours/unit
= 4,800,000 hours
For Prefab Barns:
Total direct labor-hours for Prefab Barns:
= 9,000 units * 300 hours/unit
= 2,700,000 hours
Total direct labor-hours for both products:
= 4,800,000 hours + 2,700,000 hours
= 7,500,000 hours
Proportion of direct labor-hours for Prefab Barns:
= 2,700,000 hours / 7,500,000 hours
= 0.36
Allocated materials handling cost for Prefab Barns:
= Proportion of direct labor-hours for Prefab Barns * Total materials handling cost
= 0.36 * $300,000
= $108,000.
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100 − (x + 2)
100 − (x − 2)
Please compare which is greater?
Answer:
100-(x+2)
Step-by-step explanation:
Answer:
100 − (x - 2)
Step-by-step explanation:
100-(x+2)
100+(-x-2)
-100x-200
100-(x-2)
100+(-x+2)
-100x+200
Calcular los 3/5 de los 2/3 de las 3/4 de 560
For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.
How to solve fractions?To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:
Step 1: Calculate 3/4 of 560:
3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420
Step 2: Calculate 2/3 of the result from Step 1:
2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280
Step 3: Calculate 3/5 of the result from Step 2:
3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168
Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.
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find the missing coordinates y+7x=1
(-1, )
(4, )
Answer:
(-1,8)
(4,-27)
Step-by-step explanation:
y+7x=1
Let x = -1 and find y
y+7(-1)=1
y -7 =1
Add 7 to each side
y-7+7 = 1+7
y = 8
(-1,8)
Let x = 4 and find y
y+7(4)=1
y +28 =1
Subtract 28 from each side
y+28-28 = 1-28
y = -27
(4,-27)
simply 8×4³+2×4⁴ giving you answer in the form of 4^b
Answer:
4^5
Step-by-step explanation:
8×4³+2×4⁴
4×2×4^3+2×4^4
4^4×2+2×4^4
4^4(2+2)
4^4×4
4^5
So answer is 4^5
There is a python 8.23 meters long. What is an equivalent length of this snake in meters?
Z = the sales tax percentage for a randomly selected amazon purchase, where n = the total number of possible sales tax percentages for online purchases Describe the set of possible values for the variable.
Answer:
\([0,Z_n]\)
Step-by-step explanation:
Z = the sales tax percentage for a randomly selected amazon purchase, where n = the total number of possible sales tax percentages for online purchases
Since Amazon is an online purchase, The set of possible values for the variable is a positive real number. It is a positive real number that must be within \(Z_n\). It cannot exceed the tax percentage for online purchases that can be found in Amazon. \(Z_n\) is a set of online purchases that can be found on Amazon, therefore the set of possible values for the variable is \([0,Z_n]\)
Jada rode her bike at a constant speed for 3 hours. During that time, she traveled 7.2 miles. What was Jada's riding speed?
1.4 miles per hour
2.4 miles per hour
3.4 miles per hour
10.2 miles per hour
Answer: 2.4 miles per hour
Step-by-step explanation: just do 7.2/3=2.4
or another way you could do this is do 2.4 x 3=7.2
help....................
The unit of the rate of change is (b) dollars per month
How to determine the unit of the rate of changeFrom the question, we have the following parameters that can be used in our computation:
The table of values
Where we have
y = total amount in dollars
x = number of months
The rate of change is calculated as
Rate = y/x
substitute the known values in the above equation, so, we have the following representation
Rate = total amount in dollars/number of months
So, we have
Unit = dollars per month
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I need help with this question
Using word problems and equations, Sarah worked for 10 hours and Penelope worked for 5 hours
What is the number of hours Sarah and Penelope worked?This is a word problem and in order to solve this, we need to translate mathematical statements in form of word problems into mathematical equations.
Let's assume that Sarah worked x hours.
Given that Sarah can iron 30 shirts per hour, the total number of shirts she ironed is 30x.
Since Penelope worked half the hours of Sarah, Penelope worked x/2 hours.
Given that Penelope can iron 35 shirts per hour, the total number of shirts she ironed is 35 * (x/2) = (35/2)x.
The total number of shirts ironed by both Sarah and Penelope is 475 shirts.
So, we can write the equation: 30x + (35/2)x = 475.
To solve this equation, we can simplify it: (60/2)x + (35/2)x = 475, which becomes (95/2)x = 475.
Now, we can solve for x: x = (475 * 2) / 95 = 10.
Therefore, Sarah worked 10 hours and Penelope worked half of that, which is 5 hours.
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Find the mass of 130ml
Answer:
m=92.3 g.
Step-by-step explanation:
D=m/v ⇒ m=d*vd=densitym=massv= volumed(ether)=0.71 gr/cm³=0.71 gr/ mlv=130 mlm=d* vm=0.71 gr/ml*(130 ml)=92.3 gSolution: m=92.3 g.
Answer:
130 grams................
Help me please right now.
Solve for a and b.
Simplifying
10x + -8 = ax + b
Reorder the terms:
-8 + 10x = ax + b
Solving
-8 + 10x = ax + b
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1ax' to each side of the equation.
-8 + -1ax + 10x = ax + -1ax + b
Combine like terms: ax + -1ax = 0
-8 + -1ax + 10x = 0 + b
-8 + -1ax + 10x = b
Add '8' to each side of the equation.
-8 + -1ax + 8 + 10x = 8 + b
Reorder the terms:
-8 + 8 + -1ax + 10x = 8 + b
Combine like terms: -8 + 8 = 0
0 + -1ax + 10x = 8 + b
-1ax + 10x = 8 + b
Reorder the terms:
-8 + -1ax + -1b + 10x = 8 + b + -8 + -1b
Reorder the terms:
-8 + -1ax + -1b + 10x = 8 + -8 + b + -1b
Combine like terms: 8 + -8 = 0
-8 + -1ax + -1b + 10x = 0 + b + -1b
-8 + -1ax + -1b + 10x = b + -1b
Combine like terms: b + -1b = 0
-8 + -1ax + -1b + 10x = 0
The solution to this equation could not be determined.
Answer:
a = 10 and b = 8
Step-by-step explanation:
comparing the two equations
Developmental/Pagpapaunlad
Daimler walks home after school then suddenly he passed by a chunk of
wood. An idea popped up to his mind and wanted to share it to her sister.
He brought it home and chopped the chunk of wood equally.
Because sharing is defined as division of resources, therefore if you
divide something, you're sharing.
Learning Task 1. Answer the given questions.
1) Have you experienced sharing? What did you share?
2) What did you
feel?
3) In the given word problem, what has been divided ?
= What is asked in the problem?
Answer:
1. yes my snack
2.I feel happy
3.chunk of wood
Step-by-step explanation:
please make me brainliest
how many ways can the letters a, b, c, d, e be arranged where d and e cannot be next to eachother
Answer:
Step-by-step explanation:
a
Complete the table below to solve the equation 2.5x − 10.5 = 64(0.5x)
To help pay for art school, Bob borrowed money from a bank. He took out a personal, amortized loan for 55,500, at an interest rate of 5.8%, with monthly payments for a term of 20 years. For each part, do not round any intermediate computations and round your final answers to the nearest cent. If necessary, refer to the list of financial formulas. (a) Find Bob's monthly payment. (b) If Bob pays the monthly payment each month for the full term, find his total amount to repay the loan. (c) If Bob pays the monthly payment each month for the full term, find the total amount of interest he will pay.
\(~~~~~~~~~~~~ \textit{Amortized Loan Value} \\\\ pymt=P\left[ \cfrac{\frac{r}{n}}{1-\left( 1+ \frac{r}{n}\right)^{-nt}} \right]\implies pymt=P\left[ \cfrac{\frac{r}{n}}{1-\left(\frac{n}{n+r}\right)^{nt}} \right]\)
\(\begin{cases} P= \begin{array}{llll} \textit{original amount deposited}\\ \end{array}\dotfill & \begin{array}{llll} 55500 \end{array}\\ pymt=\textit{periodic payments}\ r=rate\to 5.8\%\to \frac{5.8}{100}\dotfill &0.058\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &20 \end{cases}\)
\(pymt=55500\left[ \cfrac{\frac{0.058}{12}}{1-\left(\frac{12}{12+0.058}\right)^{12 \cdot 20}} \right]\implies pymt\approx 55500\left( \cfrac{0.0483}{0.6856} \right) \\\\[-0.35em] ~\dotfill\\\\ ~\hfill pymt\approx 391.24~\hfill\)
now, if he pays that much for the whole whack of 20 years, that is, 20*12 months or 20*12*391.24 ≈ 93897.6.
well, how much is the interest paid?
well, the original loan was for 55,500, he'll be paying 93897.6, so
\(\underset{amount~of~interest~paid}{\approx 93897.6~~ - ~~55500 ~~ \approx ~~38397.6}\)
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
96
Step-by-step explanation:
Rectangle area:
(8)(10)=80
Triangle area:
(1/2)(4)(8)=16
Total area:
16+80=96
Answer:
\(96 {ft}^{2} \)
Step-by-step explanation:
\(area = \frac{1}{2} (a + b)h \\ = \frac{1}{2} \times (10 + 14) \times 8 \\ = \frac{1}{2} \times 24 \times 8 \\ = 96 {ft}^{2} \)