Answer:
40% decrease
Step-by-step explanation:
[tex]\frac{1090-654}{1090}[/tex] = .4 x 100 to make a percent equals 40%
Answer:There is no decrease from 2,820 kilograms to 2,820 kilograms.
The percent of decrease in the size of the sugar order is 0%.
Step-by-step explanation:
On July 1 2019, crane company purchased new equipment for $75,000. Its estimated useful life was 5 years with a $8000 salvage value. On December 31,2022, the company estimated that the equipment's remaining useful life was 10 years with a revised salvage value of $5000
1. The revised annual depreciation on December 31, 2022, is $3,650.
2. The journal entry to record depreciation on December 31, 2022 is as follows:
Journal Entry:Debit Depreciation Expense $3,650
Credit Accumulated Depreciation $3,650
To record the depreciation expense for the year.
3. The balance in Accumulated Depreciation for Equipment on December 31, 2022, is $37,150.
Cost of equipment = $75,000
Purchase date = July 1, 2019
Estimated useful life = 5 years
Salvage value = $8,000
Depreciable amount = $67,000 ($75,000 - $8,000)
Annual depreciation expense = $13,400 ($67,000/5)
Accumulated Depreciation for two and half years to December 2021 = $33,500 ($13,400 x 2.5)
Book value after 2.5 years = $41,500 ($75,000 - $33,500)
New estimated useful life = 10 years
Revised salvage value = $5,000
Revised depreciable amount = $36,500 ($41,500 - $5,000)
Revised annual depreciation expense = $3,650 ($36,500/10)
Accumulated Depreciation on December 31, 2022 = $37,150 ($33,500 + $3,650)
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A classroom ceiling measures 6.8m by 4.7m. It is covered by boards measuring 1m by 1m
a) how many boards are needed altogether
b) How many of them will be cut
c)find the total cost of each board costs #700
There will be 319 boards be required
and the total cost be $223,720.
Given, a classroom ceiling measures 6.8m by 4.7m. It is covered by boards measuring 1m by 1m.
Now, we have to find the number of boards needed altogether
So, the area of the ceiling is
Area = 6.8×4.7
Area = 319.6 m²
Now, the area of the board is
Area = 1 m²
So, 319 boards will be required to cover the ceiling.
Now, if one board costs $700 then,
the total cost be
= 700×319.6
= $223,720
Hence, There will be 319 boards be required
and the total cost be $223,720.
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please help!! will mark brainlyist!!
Answer:
1. 4√5
2. 3√5
3. √149
4. √58
Step-by-step explanation:
The Pythagorean theorem states "a^2 + b^2 = c^2", where "a" and "b" are the legs, while "c" is the hypotenuse.
Knowing this, we can substitute each variable with given values on the triangles
1. "4" and "8" are legs "a" and "b" and we need to find the hypotenuse "c"
4^2 + 8^2 = c^2
16 + 64 = c^2
80 = c^2
√80 = c
4√5 = c
2. "6" and "3" are legs "a" and "b" and we need to find the hypotenuse "c"
6^2 + 3^2= c^2
36 + 9 = c^2
45 = c^2
√45 = c
3√5 = c
3. "7" and "10" are legs "a" and "b" and we need to find the hypotenuse "c"
7^2 + 10^2 = c^2
49 + 100 = c^2
149 = c^2
√149 = c
4. "3" and "7" are legs "a" and "b" and we need to find hypotenuse "c"
3^2 + 7^2 = c^2
9 + 49 = c^2
58 = c^2
√58 = c
An bucket starts with 872 gallons of water and is emptying at a rate of 19 gallons per hour. If I know that the bucket has 8 gallons of water, how long has it been emptying?
Answer:
45.47368421 (round as much as you need)
Step-by-step explanation:
We can model the equation using G(h) = -19h + 872, where -19 is the rate at which the bucket is emptying and 872 is the amount of gallons the bucket starts with.
Since gallons is the output, we would have 8 = -19h + 872 and we simply need to solve for h
[tex](8 = -19h+872)-872\\\frac{(-864=-19h)}{-19} \\h=45.47368421[/tex]
Trevor is planning a 30-day trip to Africa, where he will visit three countries: first Benin,
then Ghana and then Togo. He wants to spend at least 2 and at most 12 days in Benin, at most 13 days
in Ghana, and at most 9 days in Togo. How many such itineraries are possible? (Assume that each day is
spent in just one country, and that she travels from one country to another at night.
The value of 12 - x can at most be 4 for the given inequality and it is true therefore, all itineraries are possible.
What is inequality?A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.
Inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.
Let's say the day spend in Benin, Ghana and Togo are B, G, and T respectively.
As per the given,
B + G + T = 30
Here, 2 ≤ B ≤ 12, G ≤ 13, and T ≤ 9.
(12 - B) + (13 - G) + (9 - T) = -30 + 12 + 13 + 9 = 4
Also, B ≥ 2 or B ≤ -2 ⇒ 12 - B ≤ 12 - 2 = 10
Hence "The value of 12 - x can at most be 4 for the given inequality and it is true therefore, all itineraries are possible".
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Blanche has recently inherited $7900, which she wants to deposit into a savings account. She has determined that her two best bets are an account that compounds semi-annually at an annual rate of 3.7% (Account 1) and an account that compounds daily at an annual rate of 3.9% (Account 2).
Step 2 of 2 : How much would Blanche's balance be from Account 2 over 5.5 years? Round to two decimal places.
9664.9 is the Blanche's balance be from Account 2 over 5.5 years
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
Blanche has recently inherited $7900, which she wants to deposit into a savings account. She has determined that her two best bets are an account that compounds semi-annually at an annual rate of 3.7%
an account that compounds daily at an annual rate of 3.9% (Account 2).
We need to find how much Blanche's balance be from Account 2 over 5.5 years
A = p(1 + r/n)nt
A = 7900(1 + 0.037/2)²ˣ⁵⁵
A ≈7900(1 + 0.0185)^11
A ≈ 7900(1.0185)¹¹
A ≈ 7900(1.223)
A=9664.92
9664.9 is the Blanche's balance be from Account 2 over 5.5 years
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The probability that aperson living in a certaincity owns a dog is estimated to be 0.3. Find the probabilitythat the tenth person randomly interviewed inthat city is the fifth one to own a dog.
The probability that the tenth person randomly interviewed in that city is the fifth one to own a dog = 0.051
Given,
Consider the interview of a person is a trial.
Lets consider it success if a person owns a dog and consequently , a person without a dog will be a failure.'
Let the random variable X represent the number of persons to be interviewed to get 5 dog owner: in other words, to get 5 successors.
Probability of a success in each trial is p = 0.3. Therefore probability of a failure in each trial is q = 1 - p = 0.7 .
Because trials are independent. X has a negative binomial distribution with parameters k = 5, p = 0.3
P(X =x ) = b(x: k, p) = [tex][(x-1)(k-1)] p^kq^r^-^k[/tex]
where, x = k , k + 1 , k + 2......(1)
Now, Lets find the probability that the tenth person randomly interviewed in that city is the fifth one to own a dog
Using equation (1), we get:
P(X = 10) = b(10: 5, 0.3)
= [(10-1) (5 - 1)][tex](0.3)^5(0.7)^1^0^-^5[/tex]
= [(9)(4)] [tex](0.3)^5(0.7)^1^0^-^5[/tex]
= 0.05146
Hence, The probability that the tenth person randomly interviewed in that city is the fifth one to own a dog = 0.051
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Write an equation for a line parallel to y=-4x+3 and passing through the point (4, -20)
The equation of the line is y = -4x -4.
We need to calculate the line which is parallel to y = -4x +3 and passes through the point (4, -20)
The given equation is y = -4x +3
Comparing this equation with the general equation of the line, y = mx +c, we get the slope of the equation is -4.
Now, When two lines are parallel to each other, their slopes are equal.
So, the slope of the required equation is -4.
Now, the equation of the line which passes through the points, [tex](x_{1} ,y_{1} )[/tex] and has slope m, is given by
[tex]y - y_{1} = m(x-x_{1} )[/tex]
Putting the values in the general equation, we get,
y - (-20) = -4(x - 4 )
y + 20 = -4x +16
y +4x = 16 -20 = -4
The equation of the line is y = -4x -4.
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The last time it placed an order for ingredients, Sweet Treats Bakery ordered 1,090 kilograms of sugar. This time, the bakery is ordering 654 kilograms. What is the percent of the decrease in the size of the sugar order?
Please help
Answer: The size of the sugar order decreased by 40%.
Step-by-step explanation:
1,090 is 100%
654 is 60% of 1,090 (1,090 ÷ 0.6 = 654)
1,090 - 654 = 436, and 436 is 40% (0.4) of 1,090
1,090 (100%) - 436 (40%) = 654 (60%)
The percent of the decrease in the size of the sugar order is 40%.
Please help I was sick and missed out on class.Thank you
Answer:
Slope is the same thing as gradient
The formula is
y2-y1/x2-x1
where y2 is =8
y1 is =5
x2 is=-7
x1 is =-4
when we substitute, your answers will be
= -1
sophie went to the lake with her family first they spent 1 1/4 hours fishing then they spent twice as much time swimming how much time did they spend swimming
Answer:
They spent a total of 1 and 1/2 hours swimming.
Step-by-step explanation:
It is because 1 1/4 plus 1 1/4 equals 1 2/4 which mean 2/4=1/2 so in total they spent 1 1/2 hours swimming
Determine an nth degree polynomial that satisfies the aforementioned conditions.
A polynomial that satisfies given conditions is:
P(x) = x³ - x² + 81x - 81
In this question, we need to find a polynomial that satisfies given conditions.
We have been given that -9i is a root of polynomial.
This means, the conjugate of -9i that is, 9i must be a root of polynomial p.
From given information we can say that the zeros of polynomial p(x) must be (x - 1), (x + 9i), and (x - 9i)
So, we get a polynomial p(x) = 0
(x - 1)(x + 9i)(x - 9i) = 0
(x - 1)(x² - (9i)²) = 0
(x - 1)(x² - (-81)) = 0
(x - 1)(x² + 81) = 0
x³ - x² + 81x - 81 = 0
Therefore, a polynomial that satisfies given conditions is:
P(x) = x³ - x² + 81x - 81
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Write an equation that expresses the following relationship.
p varies directly. with the square of d and inversely with u
In your equation, use k as the constant of proportionality.
[tex]p = \frac{kd^{2}}{u}[/tex] is an equation that expresses the relation.
Directly proportion means if variable x and y varies equally.
Increment of one variable result to another one.
The ratio of these variable remains same throughout.
Inversely proportion means if one variable increases the second one will decreases. It is opposite of directly proportion.
According to the question,
p varies directly. with the square of d and inversely with u
p ∝ d²
p ∝ 1/u
Combining both the equation,
p ∝ d²/u
Putting k as the constant
p = kd²/u is our required equation
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Make the subject of
9x = u
Making the subject as x, the expression is x = u/9
The given equation is
9x = u
It can be written as
u = 9x
We need to make x as the subject in the given expression
9x = u
u = 9x
here u is the subject
9x = u
x = u/9
Therefore, making the subject as x, the expression is x = u/9
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Last year, Melissa opened an investment account with $5200. At the end of the year, the amount in the account had decreased by 27%.
(a) Fill in the blank to write the year-end amount in terms of the original amount. Write your answer as a decimal.
(b) Use your answer in part (a) to determine the year-end amount in Melissa's account.
The amount in terms of the original amount is $1,404 and the year end amount is $6,604.
How to find the original amount?a. Original amount
Original amount = 5200 - (5200× .27)
Original amount = $5200 - $1,404
Original amount = $3,796
b. Year-end amount
Year-end amount = 5200+ $3,796
Year-end amount =$8996
Therefore the original amount is $3,796 and the year end is $8996.
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the sum of two numbers is 46. the larger number is two less than three times the lesser number.
Answer:
y=12
x=34
Step-by-step explanation:
x+y=46
3y-2=x
(3y-2)+y=46
4y-2=46
+2. +2
4y=48
/4. /4
y=12
x+12=46
-12. -12
X=34
Hopes this helps please mark brainliest
The image of the point (-3, -6)(−3,−6) under a translation is (-1, -8)(−1,−8). Find the coordinates of the image of the point (-9, -3)(−9,−3) under the same translation.
The coordinates of the image of the point (−9,−3) under the same translation will be (-7,-5).
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
It is given that the image of the point (-3, -6) under a translation is (-1, -8).
The coordinate by which the first given condition is translated as,
(-3, -6) - (x,y) = (-1, -8)
(x,y) = (-3, -6) - (-1, -8)
(x,y) =(-3-(-1), -6-(-8)
(x,y) =(-3+1),(-6+8)
(x,y) =(-2,+2)
The coordinates of the image of the point (-9, -3) are under the same translation obtained as,
=(−9,−3)- (-2,+2)
=(-9-(-2) , (-3-(+2))
=(-9+2),(-3-2)
= -7,-5
Thus, the coordinates of the image of the point (−9,−3) under the same translation will be (-7,-5).
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Which number line represents the solution set for the given inequality? X + 1<_ -3 Or -4x < _
-8
Answer:
B
Step-by-step explanation:
OR means that they don't overlap and based on the answer you have in you know how to solve the innequality.
An appliance manufacturer wants to contract with a repair shop to handle authorized repairs in Indianapolis. The company has set an
acceptable range of repair time of 50 minutes to 90 minutes. Two firms have submitted bids for the work. In test trials, one firm had a
mean repair time of 74 minutes with a standard deviation of 4.0 minutes and the other firm had a mean repair time of 72 minutes with a
standard deviation of 5.1 minutes. (Do not round intermediate calculations. Round your answers to 2 decimal places.)
Firm Cpk
1 ___
2 ___
Which firm would you choose?
Firm 1
Firm 2
None
The best firm for the Appliance manufacturer for the repair work is Firm 2 .
In the question ,
it is given that ,
An appliance manufacturer wants to contract with a repair shop to handle authorized repairs in Indianapolis .
The acceptable range of the repair time is 50 minutes to 90 minutes.
the mean repair time for firm 1 = 74 minutes and standard deviation of 4 minutes .
the mean repair time for firm 2 = 72 minutes and standard deviation of 5.1 minutes .
the range is calculated using the formula
Range = Mean ± Standard Deviation
So , for firm 1 ,
the Range = 74 ± 4
= 74 [tex]+[/tex] 4 and 74 - 4
= 78 and 70
the range for firm 2 is
= 72 ± 5.1
= 72 [tex]+[/tex] 5.1 and 72 - 5.1
= 7.1 and 66.9
The second company has a lower range and it should be preferred .
Therefore , The best firm for the Appliance manufacturer for the repair work is Firm 2 .
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Write an ordered pair for the point in Quadrant III that is 3 units away from point Q (1.5, -1.5) on the coordinate plane.
The point Q'(x, y) = (- 1.5, - 1.5) is located in quadrant III and 3 units away from point Q(x, y) = (1.5, - 1.5).
What is the possible ordered pair related to another one on the coordinate plane?
In this question we find the location of an ordered pair on the coordinate plane and we are asked to find a possible solution that is in quadrant III and three units away from the original point.
A point (x, y) is in the quadrant III if x < 0 and y < 0 and we can determine a resulting point by using the following translation formula:
(x, y) → (x - 3, y)
If we know that (x, y) = (1.5, - 1.5), then the resulting point is:
Q'(x, y) = (1.5, - 1.5) + (- 3, 0)
Q'(x, y) = (- 1.5, - 1.5)
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The cost of 15 books is $33.75. Find the cost of 12 such books?
Answer:$27
Step-by-step explanation:
$33.75/15 = $2.25 per book
12 books x $2.25/book = $27
10.
12.
(5x + 3)°
8x°
/(15x-7)°
Answer:
sada
Step-by-step explanation:
Please Add A Picture
Suppose that the functions and are defined for all real numbers as follows.
Write the expressions for and and evaluate .
The expression we get from the given functions f and g defined for all real numbers x.
(f+g)(x)=4x+1
(f-g)(x)=2x+11
(f.g)(3)=-30
Given that,
All real numbers x are defined by the functions f and g.
f(x)=3x+6
g(x)=x-5
We have to find the expression
(f+g)(x), (f-g)(x) and (f.g)(3)
Take the functions,
f(x)=3x+6
g(x)=x-5
Now, First
(f+g)(x)
f(x)+g(x) (Substitute in the place of f and g functions)
Which is
3x+6+x-5
4x+1
(f+g)(x)=4x+1
Now, second
(f-g)(x)
f(x)-g(x)
Which is
3x+6-(x-5)
3x+6-x+5
2x+11
(f-g)(x)=2x+11
Now, third
(f.g)(3)
f(3)×g(3)
Which is
(3(3)+6)×((3)-5)
(9+6)×(3-5)
15×-2
-30
(f.g)(3)=-30
Therefore, The expression we get from the given functions f and g defined for all real numbers x.
(f+g)(x)=4x+1
(f-g)(x)=2x+11
(f.g)(3)=-30
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You have $4,500 on a credit card that charges a 15% interest rate. If you want to pay off the credit
card in 3 years, how much will you need to pay each month?
The following table provides a probability distribution for the random variable .
2 0.10
5 0.30
7 0.40
9 0.20
a. Compute (to 1 decimal).
6.3
b. Compute and (to 2 decimals).
3.45 incorrect
1.57 incorrect
Considering the discrete probability distribution, it is found that:
a) The mean is of: 6.3
b)
The variance is of: 4.01.The standard deviation is of: 2.What are the statistical measures for the discrete probability distribution?The mean of the distribution is given by the sum of each outcome multiplied by it's probability, hence it is obtained as follows:
E(X) = 0.1 x 2 + 0.3 x 5 + 0.4 x 7 + 0.2 x 9 = 6.3.
The variance of the distribution is given by the sum of the difference squared between each observation and the mean, multiplied by it's probability, hence it is obtained as follows:
Var(X) = 0.1 x (2 - 6.3)² + 0.3 x (5 - 6.3)² + 0.4 x (7 - 6.3)² + 0.2 x (9 - 6.3)² = 4.01.
The standard deviation is the square root of the variance of the distribution, hence it is obtained as follows:
S(X) = sqrt(4.01) = 2.
Missing InformationWe have that:
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A store purchased a digital camera and marked it up 100% from the original cost of $863.57. A week later the store placed the digital camera in sale for 40% off. What was the discount price?
Answer:
$1036.28
Step-by-step explanation:
Marking something up by 100% means doubling the price. Let's do this step first:
863.57 * 2 = 1727.14
Next, the discount is 40%
I would find this by taking the 10% value, multiplying that by 4 and subtracting that from our new value
10% = 172.714
40% = 690.856
Now our newest value:
1727.14 - 690.856
1036.284
Round to 2 decimal places (as is proper when dealing with cents):
1036.28
Thus, our newest (discounted) price is:
$1036.28
Given a standard deck of playing cards, what is the probability of drawing each hand:
2 diamonds
1 diamond and 1 heart
Explain why the more likely outcome, above, is more likely
The probability of drawing 2 Diamonds is 1/17.
The probability of drawing 1 diamond and 1 heart is 13/204.
How to find probability for a deck of cards?
In total there are 52 cards in a deck.these 52 cards are divided in 4 suits each having 13 card values.The 4 suits are: Clubs, Spades, Diamonds and Hearts.13 card values are: 2-10, King, Queen, Jack and an AceKing, Queen and Jack are called Face cards.For finding probability of chosen cards to cases arise: 1. With replacement of the drawn card; 2. Without replacement of the drawn cardAccording to the given question:
Since there are 52 cards, the probability of getting a diamond in the first draw is 13/52.
After the first card is drawn, there are just 12 diamonds left.
So, the probability of drawing the diamond now is 12/51.
The total probability is the product of two probabilities
So, P = 13/52 x 12/51 = 1/4 x 4/17
P = 1/17 ≈ 0.058
So the probability of drawing 2 Diamonds is 1/17.
Similarly, we know probability of getting a diamond in first is 13/52.
Also the probability of drawing a heart from 51 cards is 13/51.
The total probability P = 13/52 x 13/51
P = 1/4 x 13/51
P = 13/204 ≈ 0.063
So the probability of drawing 1 diamond and 1 heart is 13/204.
More likely outcome is the one whose probability is closer to unity. Since 13/204 > 1/17 that is 0.063 > 0.058 therefore drawing a heart and a diamond is a more likely outcome.
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Pls can someone give me the answer
Answer:
[tex]-\frac{1}{2}(x-1)[/tex]
Step-by-step explanation:
The slope of the line is [tex]\frac{3-1}{1-5}=-\frac{1}{2}[/tex].
Using the point (1,3), the equation is [tex]y-3=\boxed{-\frac{1}{2}(x-1)}[/tex].
Please help, thanks in advance!
Answer: 114
Step-by-step explanation:
firstly, convert meters to centimeters:
2.5m * 100cm in a meter = 250 cm
let the length of the first shelf equal x:
250 = x + (2x + 18) + (x - 12) + (x + 4)
combine like terms:
250 = 5x + ( 18 - 12 + 4) = 5x +10
subtract 10 from both sides:
240 = 5x, then solve for x
240/5 = x
x = 48 cm
the length of the second shelf was 2x + 18, so plug in 48 for x:
2(48) + 18 = 114
Answer:
114 [cm].
Step-by-step explanation:
1) if the length of the 1st shelf is 'x', then
2) the length of the 2d shelf is '2x+18', the 3d shelf is 'x-12' and the 4th shelf is 'x+4';
3) the sum of the all 4 shelves is 250 [cm], then it is possible to make up the equation:
x+(2x+18)+(x-12)+(x+4)=250;
4) the root of the equation above is x=48, then
5) the required length of the 2d shelf is 2*48+18=114 [cm].
Susie is visiting Germany from the U.S. One day she stopped by a market and found a stall selling tomatoes for 1.74 euro per kilogram. If 1 euro was worth 1.09
dollars that day, how much did the tomatoes cost in dollars per pound?
First fill in the two blanks on the left side of the equation using two of the ratios. Then write your answer rounded to the nearest hundredth on the right side of
the equation.
The cost of the tomatoes, in dollars per pound, using proportions, is of:
$0.86 per lb.
What is a proportion?A proportion represents a fraction relative to a total amount, which is combined with the basic arithmetic operations, especially multiplication and division, to find the desired amounts in whichever context of a problem.
In this problem, the costs is obtained as follows:
Cost: 1.74 euros per kilogram.Exchange ratio: 1 euro = 1.09 dollars.Hence the cost in dollars per kg of the tomatoes is obtained as follows:
1.74 x 1.09 = $1.8966 per kg.
The relationship between kg and pounds is given as follows:
1 kg = 2.20 lb.
Hence the cost is written as follows:
$1.8966 per 2.20 lb.
The cost per pound of the tomatoes is of:
1.8966/2.20 = $0.86 per lb.
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