Answers
Answer:
150 ft/hr
Step-by-step explanation:
Average rate of change is slope over an interval, so change in y over change in x:
[tex]\frac{3500-3200}{3-1} =150[/tex] ft/hr
Related Questions
Contribution Margin, Break-Even Sales, Cost-Volume-Profit Chart, Margin of Safety, and Operating Leverage
Youngsville Industries Inc. expects to maintain the same inventories at the end of 20Y5 as at the beginning of the year. The total of all production costs for the year is therefore assumed to be equal to the cost of goods sold. With this in mind, the various department heads were asked to submit estimates of the costs for their departments during the year. A summary report of these estimates is as follows
Estimated Fixed Cost
Estimated Variable Cost (per unit sold)
Production Costs:
Direct Materials
$48
Direct Labor
$38
Factory Overhead
$150,000
$25
Selling Expenses:
Sales salaries and commissions
$125,000
$10
Advertising
$50,000
Travel
$15,000
Miscellaneous selling expense
$10,000
$2
Administrative Expenses:
Office and officers' salaries
$140,000
Supplies
$10,000
$5
Miscellaneous administrative expense
$10,000
$2
Total
$510,000
$130
It is expected that 22,175 units will be sold at a price of $170 a unit. Maximum sales within the relevant range are 27,500 units.
Answers
Answer:
Giving the following information:
Units sold= 450,000
Total Sales= $12,150,000
Total variable cost= $6,925,500
Total fixed cost= $3,242,673
First, we need to calculate the unitary selling price and variable cost. Then, we calculate the contribution margin.
Selling price= 12,150,000/450,000= $27
Unitary variable cost= 6,925,500/450,000= $15.39
Contribution margin per unit= 27 - 15.39= $11.61
To calculate the contribution margin ratio, we need to use the following formula:
Contribution margin ratio= contribution margin/ selling price
Contribution margin ratio= 11.61/27
Contribution margin ratio= 0.43
To calculate the break-even point both in units and dollars, we need to use the following formulas:
Break-even point in units= fixed costs/ contribution margin per unit
Break-even point in units= 3,242,673 / 11.61= 279,300 units
Break-even point (dollars)= fixed costs/ contribution margin ratio
Break-even point (dollars)= 3,242,673/0.43= $7,541,100
Finally, we need to incorporate the desired profit to the break-even point formula:
Break-even point in units= (3,242,673 + 426,087) / 11.61
Break-even point in units= 316,000 units
Step-by-step explanation:
a bowl contains 4 yellow marbles, 5 red marbles, 1 blue marbles, and 3 green marbles. find the probabilityof the given outcome
Answers
Answer:
bowl of colorful marbels
Step-by-step explanation:
bowl+marbels
(5/6) 2 x (1 1/10) 2
Answers
Answer:
11/3x
your welcome
Kindly help me with this question. (Chapter - Complex Numbers)
Answers
Answer:
z1(z2 + z3) = z1 z2 + z1 z3 ⇒ verified down
Step-by-step explanation:
∵ z1 = 4 + 3i
∵ z2 = 3 - 2i
∵ z3 = i + 5
→ Find the left side
∵ z1(z2 + z3) = (4 + 3i)[3 - 2i + i + 5]
∴ z1(z2 + z3) = (4 + 3i)[(3 + 5) + (-2i + i)]
∴ z1(z2 + z3) = (4 + 3i)(8 - i)
∴ z1(z2 + z3) = (4)(8) + (4)(-i) + (3i)(8) + (3i)(-i)
∴ z1(z2 + z3) = 32 - 4i + 24i - 3i²
→ Remember that i² = -1
∴ z1(z2 + z3) = 32 - 4i + 24i - 3(-1)
∴ z1(z2 + z3) = 32 - 4i + 24i + 3
→ Add the like terms
∴ z1(z2 + z3) = (32 + 3) + (-4i + 24i)
∴ z1(z2 + z3) = 35 + 20i
→ Find the right side
∵ z1 z2 + z1 z3 = (4 + 3i)(3 - 2i) + (4 + 3i)(i + 5)
∴ z1 z2 + z1 z3 = [(4)(3)+(4)(-2i)+(3i)(3)+(3i)(-2i)] + [(4)(i)+(4)(5)+(3i)(i)+(3i)(5)]
∴ z1 z2 + z1 z3 = [12 -8i + 9i -6i²] + [4i + 20 + 3i² + 15i]
→ Replace i² by -1
∴ z1 z2 + z1 z3 = [12 -8i + 9i -6(-1)] + [4i + 20 + 3(-1) + 15i]
∴ z1 z2 + z1 z3 = [12 -8i + 9i + 6] + [4i + 20 - 3 + 15i]
→ Add the like terms
∴ z1 z2 + z1 z3 = [12 + 6 + 20 - 3] + [-8i + 9i + 4i + 15i]
∴ z1 z2 + z1 z3 = 35 + 20i
∵ The left side = 35 + 20i
∵ The right side = 35 + 20i
∴ The left side = the right side
∴ z1(z2 + z3) = z1 z2 + z1 z3
Which is the slope of the line that passes through the points (4, 2) and
(6, 7)?
Answers
Answer:
2.5
Step-by-step explanation:
Use the formula y2-y1 divided by x2-x1
Plug in the values: (7-2)/(6-4)
5/2
=2.5
Phil Dunphy, a real estate agent, is considering whether he should list an unusual $262,023 house for sale. If he lists it, he will need to spend $3,111 in advertising, staging, and fresh cookies. The current owner has given Phil 6 months to sell the house. If he sells it, he will receive a commission of $19,752. If he is unable to sell the house, he will lose the listing and his expenses. Phil estimates the probability of selling this house in 6 months to be 40%. What is the expected profit on this listing?
Answers
Answer: $4,789.80
Step-by-step explanation:
If Phil is able to sell the house, the profit he makes will be;
= Commission - expenses
= 19,752 - 3,111
= $16,641
If he is unable to sell in 6 months he will lose $3,111.
His expected profit will be a weighted average of the two possibilities;
= (40% * 16,641) + ( 60% * -3,111)
= 6,656.40 + (-1,866.6)
= $4,789.80
8.032×10^-4 in standard form
Answers
Answer:
0.0008032
Step-by-step explanation:
Hope this helps!
Answer:
80,320
Step-by-step explanation:
Use the properties of logarithms to write the following expression as one logarithm.
3 ln(x) + 2 ln(y) − 4 ln(x + 1)
Please show your work and explain, I would like to learn how to complete this type of problem!
Answers
Answer:
Step-by-step explanation:
hi! the log properties say that when logs are multiplied as log(xy), they can be expanded and added like log(x)+log(y). when logs are divided like log(x/y), they can be expanded as log(x)-log(y). when the log has an exponent like log(x^y), the exponent can be added to the front of the log like ylog(x). we can use these properties for this problem.
ln(x^3)+ln(y^2)-ln((x+1)^4)
ln(x^3*y^2)-ln((x+1)^4)
[tex]ln(\frac{(x^3y^2)}{((x+1)^4)})[/tex]
1. Which of the following statements best describes the patterns and trends of the Periodic Table?
a. The atomic number and atomic mass decrease from left to right across a period; energy levels
decrease from top to bottom down a group
b. The atomic number and atomic mass increase from left to right across a period; energy levels
decrease from top to bottom down a group.
c. The atomic number and atomic mass increase from left to right across a period; energy levels
increase from top to bottom down a group.
d. The atomic number and atomic mass decrease from left to right across a period; energy levels
increase from top to bottom down a group.
Answers
Answer:
Its C
Explanation
c. The atomic number and atomic mass increase from left to right across a period; energy levels
increase from top to bottom down a group.
what is the value of x,if x=9-9/4
Answers
Answer:
X=6 3/4
Step-by-step explanation:
IF X=9-9/4(X=9-2 1/4) THEN X=6 3/4. HOPE THIS HELPS
is this a keep, change, change?
-9-8
Answers
Answer:
umm i think so
Step-by-step explanation:
2+1x1000000000000000000
Answers
Answer:
30000000000000000.. ....
Which expression is equivalent to 8x - 12y + 32?
15 points!!!
Answers
Answer:
The third
Step-by-step explanation:
16( times) 0.5x= 8x
16 ( times) -0.75= -12y
16(times) 2= 32
The rest are either above or bellow the expression given.
Answer:
the answer is -0.75y+2)=8x
Solve by substitution: y = 3x + 4 and y = -2x – 1.
Answers
Answer:
x = -1
y = 1
Step-by-step explanation:
y = 3x+4
y = -2x-1
-2x-1 = 3x+4
-5x - 1 = 4
-5x = 5
x = -1
Substitute this x value into 1 of the equations given in the problem:
y = 3(-1)+4
y = -3+4
y = 1
Answer: the answer to x= -1 and y= 1
. (2 points each) How many ways are there to choose a dozen (12) donuts from 18 varieties if(a) there are no two donuts of the same variety
Answers
Answer:
There are 455 ways
Step-by-step explanation:
Here, we want to find the number of ways to select 12 donuts out of 18 donuts given that all the donuts are different
Mathematically, that would be;
18 C 2
= 18!/(18-12)!12! = 18!/6!12! = 455
An investor wants to save money to purchase real estate. She buys an annuity with monthly payments that earn 5.6% interest, compounded monthly. Payments
will be made at the end of each month, Find the total value of the annuity in 16 years if each monthly payment is $65.
Do not round any intermediate computations, and round your final answer to the nearest cent
Answers
Answer:
1040
Step-by-step explanation:
just took 65 and mutiply 65$
Answer:
1040
Step-by-step explanation:
just took 65 and mutiply 65$
Chantel graphs S and T. The corresponding angles are congruent. The side lengths of T are 5 times as long as the corresponding side lengths of S. Can you give a sequence of transformations that will map S onto T?
Answers
Answer:
Turn it by 90 degrees
Step-by-step explanation:
Question is too vague sorry if this doesn't help
Answer:
fernanda i have no idea how to do this
Step-by-step explanation:
8. Fay Teng's expenditures for the past 3 months were: August,
$1,735.50; September, $1,829.42; and October, $1,793.88.
What is her average monthly expenditure?
9. You use the utility company's budget plan for paying your
home heating bills. You pay $75 a month for 9 months. Your
actual bills are: September, $28.95; October, $16.15; November,
$68.46; December, $109.34; January, $115.26; February. $94.19;
March $75.66; April, $51.97; and May, $49.16. Compute the
average for the 9 months.
ght The McGraw-e Companies, Inc. All rights
Answers
=$75.66 all in all and $67.99 dollars
Your grandfather gave you $18 to buy a present. This covered 9/10 of the cost. How much did the present cost?
Answers
Please look at the pic and help it got marked wrong
Answers
Answer:
although it is true that could be -(1/4)^4
if you multiply the answer can also be -1/256
Heya!!
your answer is!
-1/256
HELP WILL MARK BRAINLIEST
Answers
Answer:
(-3,-1)
Step-by-step explanation:
You can graph both of the points on desmos, and then look at the slope from p1 to the midpoint. so you can get the slope, and use it to get the p2. the slope is -4/6. So you get that answer.
Bender Electronics buys keyboards for its computers from another company. The keyboards are received in shipments of 100 boxes, each box containing 20 keyboards. The quality control department at Bender Electronics first randomly selects one box from each shipment and then randomly selects 5 key boards from that box. The shipment is accepted if not more than 1 of the 5 keyboards is defective. The quality control inspector at Bender Electronics selected a box from a recently received shipment of keyboards. Unknown to the inspector, this box contains 6 defective keyboards.
Round your answers to four decimal places.
a. What is the probability that this shipment will be accepted?
P(shipment accepted)=
b. What is the probability that this shipment will not be accepted?
P(shipment not accepted)=
Answers
Answer:
a
[tex]P(shipment\ accepted) =0.6337 [/tex]\
b
[tex]P(shipment\ not\ accepted)= 0.3663 [/tex]
Step-by-step explanation:
from the question we are told that
The number of boxes N = 100
The number of keyboard in each box is k = 20
The sample size is n = 5
Generally the number of ways of selecting 1 keyboard from the 5 selected keyboard is mathematically represented as
[tex]G = \ ^{5}C_1[/tex]
Here C stands for combination (Hence in the question we will be making use of the combination functionality in our calculator )
Generally the number of ways of selecting 0 keyboard from the 5 selected keyboard is mathematically represented as
[tex]H = \ ^{5}C_0[/tex]
Generally the number of ways of selecting 5 keyboard from the 20 keyboards is mathematically represented as
[tex]F = \ ^{20}C_5[/tex]
Generally the number of ways of selecting 5 keyboard from the 15 keyboards is mathematically represented as
[tex]W = \ ^{15}C_5[/tex]
Generally the number of ways of selecting 5 keyboard from the 15 keyboards is mathematically represented as
[tex]V = \ ^{15}C_4 [/tex]
Generally the probability that a shipment will be accepted is mathematically represented as
Probability of 0 defect out of 5 + Probability of 1 defect out of 5
Now
Probability of 0 defect out of 5 is mathematically represented as
[tex]P(A_1) = \frac{H*W }{ F}[/tex]
=> [tex]P(A_1) = \frac{1 *3003 }{ 15504}[/tex]
=> [tex]P(A_1) = 0.1937[/tex]
And Probability of 1 defect out of 5 is mathematically represented as
[tex]P(A_2) = \frac{ G * V}{ F}[/tex]
=> [tex]P(A_2) = \frac{ 5 * 1365}{15504}[/tex]
=> [tex]P(A_2) = 0.440[/tex]
Generally the probability that a shipment will be accepted is mathematically represented as
[tex]P(shipment\ accepted) =0.1937 + 0.440[/tex]
=> [tex]P(shipment\ accepted) =0.6337 [/tex]
Generally the probability that this shipment will not be accepted is mathematically represented as
[tex]P(shipment\ not\ accepted)= 1 -P(shipment \ accepted)[/tex]
[tex]P(shipment\ not\ accepted)= 1 - 0.6337 [/tex]
[tex]P(shipment\ not\ accepted)= 0.3663 [/tex]
How many lines of symmetry does this figure have?
Pls help
Answers
Answer:
4
Step-by-step explanation:
This figure has 4 lines of symmetry
what is 32221 x444444444444
Answers
Answer: 1.43
Step-by-step explanation:
Answer:
1.432044444444301e+17
Step-by-step explanation:
help me idk what it is
Answers
the answer is the bottom one on the first row
4, 7, 8, 10, 11, 13, 15, 15, 22, 28 is the data set in order.
By finding the median, it would be 12, since 11+13=24/2=12
The first quartile would be 8, because between 4-11, 8 is in the middle
Then the third quartile would be 15, repeating the same process except with 13-28
So basically the answer is the top right choice. With a median of 12, first quartile 8, third quartile 15
A coin is about to be tossed 50 times. Determine the probability the 8th heads occurs on the 12th toss
Answers
Answer:
0.0806
Step-by-step explanation:
From the given information:
Number of toss = 50
The probability of having a head = 1/2 = 0.5
The Probability of 8th head occur on 12th toss can be computed as :
Pr(8th head occur on 12th toss) = Pr(7 heads in 11 toss) × P(8th head on 12th toss)
Pr(8th head occur on 12th toss) = C(11,7) × 0.5⁷ × (1 - 0.5)⁴ * 0.5
Pr(8th head occur on 12th toss) = [tex]\dfrac{11!}{7!(11-7)!}[/tex] × 0.5⁷ × (1 - 0.5)⁴ × 0.5
Pr(8th head occur on 12th toss) = 0.0806
Answer:
The probability of 8th heads,
That is occurred on 12th toss.
Step-by-step explanation:
A coin is tossed 50 times.
There are two possible outcomes of occurring a head or tail.
Probability of occurring head = no.of head/ possible outcomes
= 1/2
Total number of tossing a coin= 50 times
Probability of 8th heads occurs on 12th toss:
12C8 (1/2)8 (1/2)9 (1/2)10 (1/2)11 (1/2)12
= 12C8 (1/2)8+9+10+11+12
= 12C8 (1/2)50
= 12C8 / 250
= 495 / 1125899906842624
= 4396.48317752 x 10-16
This is the probability of 8th heads,
That is occurred on 12th toss.
I don't understand this question can you help pls
Answers
Answer:
yes, it would change because the place value
montha
28. The driving distance from Boston, MA,
to Colorado Springs, CO, and back again
is 4,084 miles. A salesperson has already
made the trip back and forth twice. A
salesperson may drive up to 12,500 miles
each month. Can she make the trip again
and remain below the monthly miles
allowed? If so, how many miles will she
have left for the month?
Tonic 2 Ilesson 3-8
Answers
Answer:
Step-by-step explanation:
Homework Weekend Create a short story.
Suppose you have seven movies on DVD (two comedy, three action, and two horror) to put on a shelf. If you choose the DVDs at random, what is the probability that the first one is horror and the second one is action?
A: 66.67%
B: 7.14%
C: 4.76%
D: 14.29%
Answers
Answer: D: 14.29%
Step-by-step explanation:
Given: Total movies = 7
Categories: Comedy = 2, Action = 3 ,horror = 2
Probability that first one is horror = [tex]\dfrac{\text{Number of horror movies}}{\text{Total movies}}[/tex]
[tex]=\dfrac{2}{7}[/tex]
Remaining DVDs =6
Probability that first one is horror and the second one is action = [tex]\dfrac{2}{7}\times \dfrac{\text{Number of action movies}}{\text{remaining movies}}[/tex]
[tex]=\dfrac27\times\dfrac{3}{6}=\dfrac{1}{7}[/tex]
In percent, [tex]\dfrac{1}{7}\times100\%=14.29\%[/tex]
Hence, the correct option is D: 14.29% .
Answer please so hard
Answers
Answer:
b s=3w
Step-by-step explanation:
when graphed its a straight line and it goes through the orgin so its proportional