Answer:
B
Step-by-step explanation:
Please answer in an hour! You will get a thumbs up.
Question 1 (a)
Assume you purchase a new tractor on Jan 1, 2022 for a cost of $200,000. You estimate you will be able to use the tractor for 10 years, and it will have a salvage value of 10% of the original by the end of its useful life. Determine the book value at the end of the first year (December 31, 2022) using straight-line depreciation.
options:
$18,000
$180,000
$185,000
$182,000
Question 1 (b)
A balance sheet (using current and noncurrent assets and liabilities- no intermediate) shows that a farmer has current assets of $80,000 and owner equity of $100,000. Her current ratio is 2 and her debt/equity ratio is 1.0. Determine the farmer's noncurrent liabilities.
Question 1 (b) options:
$40,000
$60,000
$100,000
unable to determine
Question 1a
To calculate the book value at the end of the first year using straight-line depreciation, we need to determine the annual depreciation expense first. The straight-line method assumes that the asset depreciates by an equal amount each year over its useful life. Therefore, we can use the following formula to calculate the annual depreciation:
Annual Depreciation = (Cost - Salvage Value) / Useful Life
Substituting the given values, we get:
Annual Depreciation = ($200,000 - $20,000) / 10 years = $18,000 per year
This means that the tractor will depreciate by $18,000 each year for the next 10 years.
To determine the book value at the end of the first year, we need to subtract the depreciation expense for the year from the original cost of the tractor. Since one year has passed, the depreciation expense for the first year will be:
Depreciation Expense for Year 1 = $18,000
Therefore, the book value of the tractor at the end of the first year will be:
Book Value = Cost - Depreciation Expense for Year 1
= $200,000 - $18,000
= $182,000
So the book value of the tractor at the end of the first year, December 31, 2022, using straight-line depreciation is $182,000. so the answer is D
Question 1(b)
To determine the farmer's noncurrent liabilities, we need to use the information provided to calculate the total liabilities and then subtract the current liabilities from it. Here's the step-by-step solution:
Calculate the total current liabilities using the current ratio:
Current Ratio = Current Assets / Current Liabilities
2 = $80,000 / Current Liabilities
Current Liabilities = $80,000 / 2
Current Liabilities = $40,000
Calculate the total liabilities using the debt/equity ratio:
Debt/Equity Ratio = Total Liabilities / Owner Equity
1.0 = Total Liabilities / $100,000
Total Liabilities = $100,000 * 1.0
Total Liabilities = $100,000
Subtract the current liabilities from the total liabilities to get the noncurrent liabilities:
Noncurrent Liabilities = Total Liabilities - Current Liabilities
Noncurrent Liabilities = $100,000 - $40,000
Noncurrent Liabilities = $60,000
Therefore, the farmer's noncurrent liabilities are $60,000. so the answer is B.
I need help please! Parallel to y=9x+3, y-intercept at -2
Answer:
y = 9x - 2
Step-by-step explanation:
Parallel Lines: Parallel lines have the same slope but different y - intercepts
Line: Written in y = mx + b
y = outputx = inputm = slopeb = y - interceptSolve:
The slope of the new line is 9 because they are parallelThe y - intercept is -2, it is givenOur new equation is:
y = mx + b(Slope of 9) y = 9x + b(y - intercept is -2) y = 9x - 2y = 9x - 2
-Chetan K
Answer:
y=9x-2
Step-by-step explanation:
So, the zero value is -2 (in terms of y) so the coordinates would be (0,-2) But if a line is parallel to another line, it has the same slope as the other.
Therefore, the equation is
y=9x-2
Arrange the steps in the correct order to find an inverse of a modulo m for each of the following pairs of relatively prime integers using the Euclidean algorithm. a = 55, m= 89 Rank the options below. The steps to find gcd(55, 89) using the Euclidean algorithm are listed below. 89 = 1.55 +34 55 = 1.34 +21 34 = 1.21 + 13 21 1 . 13 + 8 13 = 1.8+5 8 = 1.5+ 3 5 = 1.3+2 3 = 1.2+1 2 = 1.2 The Bézout coefficient of 55 is 34, and it is an inverse of 55 modulo 89. The Bézout coefficients of 55 and 89 are 34 and -21, respectively. -21, respectively. The ged in terms of 55 and 89 is written as 1 = 3-1.2 = 3-1. (5-1.3) = 2.3-1.5 = 2. (8-1.5) - 1.5 = 2.8-3.5 = 2.8-3. (13-1-8)= 5.8-3.13 = 5. (21-1.13) - 3.13 = 5.21-8. 13 = 5.21-8. (34-1.21) = 13.21-8.34 = 13. (55 - 1. 34)- 8. 34 = 13.55 - 21 34 = 13.55 - 21 - (89-1. 55) = 34.55 -21.89
The correct order of steps is 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12.
To find the inverse of 55 modulo 89 using the Euclidean algorithm, the steps are:
1. 89 = 1.55 +34
2. 55 = 1.34 +21
3. 34 = 1.21 + 13
4. 21 = 1.13 + 8
5. 13 = 1.8 +5
6. 8 = 1.5 +3
7. 5 = 1.3 +2
8. 3 = 1.2 +1
9. 2 = 1.2
10. The Bézout coefficient of 55 is 34, and it is an inverse of 55 modulo 89.
11. The Bézout coefficients of 55 and 89 are 34 and -21, respectively.
12. The gcd in terms of 55 and 89 is written as 1 = 34-21.89 = 34-21. (55-1.34) = 13.34-21.55 = 13. (21-1.13) - 3.13 = 5.21-8. 13 = 5. (8-1.5) - 1.5 = 2.8-3.5 = 2. (3-1.2) = 2.3-1.5 = 2. (2-1) = 3-1.2 = 3-1. (1-0) = 34-21.89
The correct order of steps is 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12.
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I'm struggling on finding a step-through for this question, can anyone help? (x+5)(2x+3)-3(x-2)(6x+5)
\(~~(x+5)(2x+3)-3(x-2)(6x+5)\\\\=2x^2 +3x + 10x +15 - (3x-6)(6x+5)\\\\=2x^2 +13x +15 - (18x^2 +15x -36x -30)\\\\=2x^2+13x+15-(18x^2 -21x-30)\\\\=2x^2 +13x+15-18x^2 +21x +30\\\\=-16x^2 + 34x+45\)
Does anybody know the answer to all of these?
Answer:10
Step-by-step explanation:
2+4+6+6+9+13+30=70
70 divided by 7= the mean should be 10
Answer:
the mode is 6 the median is also 6 the range is 28 the mean is 10
Step-by-step explanation:
in a bacteria growing experiment, a biologist observes that the number of bacteria in a certain culture triples every 3 hours. after 12 hours, it is estimated that there are 2 million bacteria in the culture. what is the doubling time for the bacteria population?
The doubling time for the bacteria population is approximately 2.08 hours.
The formula for exponential growth
n = \(n_0\) × 2^(t/d)
where \(n_0\) is the initial number of bacteria (at t=0)
d is the doubling time
2^(t/d) is the factor by which the population has grown since t=0.
After 12 hours, there are 2 million bacteria
Substitute the values
24,691.4 = \(n_0\) × 2^(12/d)
24,691.4/ \(n_0\) = 2^(12/d)
ln(24,691.4/ \(n_0\)) = ln(2^(12/d))
ln(24,691.4/ \(n_0\)) = (12/d) × ln(2)
d = 12 / (ln(24,691.4/ \(n_0\))/ln(2))
Estimate that the initial number of bacteria
\(n_0\) = 2000000 / 81
= 24691.4
Substitute this into our equation for d,
d = 12 / (ln(3)/ln(2))
d ≈ 2.08 hours
Therefore, the doubling time is approximately 2.08 hours.
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a rectangular tank that is 6912 ft3 with a square base and open top is to be constructed of sheet steel of a given thickness. find the dimensions of the tank with minimum weight.
The dimensions of the tank with minimum weight are 24*24*12 ft
What is rectangular tank?
There is a benefit to employing vertical cylindrical stores that are put behind the double glass as in the Trombe wall system because a rectangular tank that extends from floor to ceiling is relatively expensive to construct and must be constructed to withstand quite high hydraulic pressures.
The tank with minimum weight is the one with minimum surface area.
Let x= base width and base height
h= height of the tank
The volume of tank is :
v=hx²
substitute v=6912 ft³
6912=hx²
h= 6912/x²............(1)
Formula for the tank surface area is:
A=x²+4xh
On substituting h value and simplifying,
A=x²+(27.648/x)
Differentiate with respect to x and equate to zero
2x-(27.648/x²)=0
On simplifying,
x³=27648/2 = \(\sqrt[^3]{13824}\)
x= 24
substitute x=24 into the equation 1
h= 6912/(24)²= 12 ft
So, the dimensions of the tank with minimum weight are 24*24*12 ft
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factor the trinomial below. x^2+13x+42
Answer:
(x + 6)(x + 7)
Step-by-step explanation:
To factor the trinomial x^2 + 13x + 42, we need to find two numbers that multiply to 42 and add up to 13.
One way to do this is to list all the pairs of factors of 42 and see which pair adds up to 13:
1, 42 -> 1 + 42 = 43
2, 21 -> 2 + 21 = 23
3, 14 -> 3 + 14 = 17
6, 7 -> 6 + 7 = 13
So the pair of factors that we want is 6 and 7. We can use these numbers to rewrite the middle term of the trinomial:
x^2 + 13x + 42 = x^2 + 6x + 7x + 42
Next, we can group the first two terms and the last two terms:
x^2 + 6x + 7x + 42 = (x^2 + 6x) + (7x + 42)
Now, we can factor out the greatest common factor from each group:
x(x + 6) + 7(x + 6)
Notice that we have a common factor of (x + 6) in both terms. We can factor this out:
(x + 6)(x + 7)
What is the slope of the line that passes through the points (3, -5)(3,−5) and (1, -5) ?(1,−5)? Write your answer in simplest form.
Answer:
0
Step-by-step explanation:
Assuming you are looking for the slope that goes through (3,-5) and (1,-5), first determine the change in the y-coordinates of the points.
Change in y:
-5-(-5)= -5+5=0
Now find the change in the x coordinates.
Change in x:
3-1=2
The slope is the change in y coordinates divided by the change in x coordinates.
Slope:
\(\frac{0}{2}=0\)
When the numerator of a fraction is 0, the value of the entire fraction is 0.
When the slope is 0, the function is a horizontal line.
Use the drawing tool(s) to form the correct answer on the provided number line. Will brought a 144-ounce cooler filled with water to soccer practice. He used 16 ounces from the cooler to fill his water bottle. He then took out 16 plastic cups for his teammates and put the same amount of water in each cup. Find and graph the number of ounces of water, x, that Will could have put in each cup.
According to the information, we can infer that the number of ounces of water, x, that Will could have put in each cup is 8 ounces.
What is the number of ounces of water "x" that Will could have put in each cup?Will initially had a cooler filled with 144 ounces of water. After using 16 ounces to fill his water bottle, there were 144 - 16 = 128 ounces of water remaining in the cooler.
Will then took out 16 plastic cups for his teammates. Since the same amount of water was put in each cup, the remaining amount of water, 128 ounces, needs to be divided equally among the cups.
Dividing 128 ounces by 16 cups gives us 8 ounces of water for each cup.
So, Will could have put 8 ounces of water in each cup.
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Which expression is equivalent to c+0.61c−0.59c
Answer:
1.02c
Step-by-step explanation:
list 3 linear equations
List 3 non-linear equations
Answer:
Linear:
y = 2x + 1
5x = 6 + 3y
y/2 = 3 − x
Nonlinear:
x2+y2 = 1.
x2 + 12xy + y2 = 0.
x2+x+2 = 25
Step-by-step explanation:
amaya and bo each roll a fair, ordinary six-sided die with the numbers $1,2,3,4,5,6$ on the sides. what is the probability that amaya rolls a greater number than bo?
The probability that amaya rolls a greater number than bo is 5/12.
What is probability?
Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.The proportion of favorable cases to all possible cases that can occur that indicates how likely an event is to occur.The number of rolls where Amaya's roll is greater than Bo's is
5 + 4 + 3 + 2 + 1 = 15
Number of amaya's is greater (A) = 15
Total number of possible outcomes (S) = 36
The probability that amaya rolls a greater number than bo = n(A)/ n(S)
P(A) = n(A) / n(S)
= 15 / 36
= 5 / 12
Hence, the probability that amaya rolls a greater number than bo is 5/12.
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??????????????????????
Answer:
Sorry, I don't speak confusion.
Step-by-step explanation:
What is the answer to this, please help
Answer:
I think it is -11r
copy machine makes 32 copies per minute. How long does take to make 112 copies?
what is the height of ABC is 30 centimeters, what is the length of a side of this triangle in the centimeters?
Since each triangle is a right triangle we can apply trigonometric functions:
Sin a = opposite side / hypotenuse
Where;
a = angle = 60° ( we are looking at the bottom left one)
Opposite side = 30 cm
Hypotenuse = AB
Replace:
Sin60 = 30 / AB
Solve for AB
AB = 30 / sin 60
AB = 34.64 cm
PLEASE HELP THIS IS VERY IMPORTANT I WILL GIVE YOU BRAIN THING IF ITS CORRECT (you can use a calculator if you want)
a is 321. b is 52 . GOOD luck !!!!!!!!!!!!!!!!!
the monthly utility bills in a city are normally distributed, with a mean of $100 and a standard deviation of $15. Find the probability that a randomly selected utility bill is (a) less than $68, (b) between $81 and $90, and (c) more than $120.
The probability that a randomly selected utility bill is,
a) P(X < 68) ≈ 0.016 or 1.6%
b) P(81 < X < 90) ≈ 0.1476 or 14.76%
c) P(X > 120) ≈ 0.0912 or 9.12%
To find the probability in each case, we can use the standard normal distribution by converting the given values into z-scores.
a) To find the probability that a randomly selected utility bill is less than $68, we need to find P(X < 68). First, we calculate the z-score using the formula z = (x - μ) / σ, where x is the value, μ is the mean, and σ is the standard deviation.
z = (68 - 100) / 15 = -2.1333
Using a standard normal distribution table or a calculator, we can find the corresponding cumulative probability for z = -2.1333, which is approximately 0.016. Therefore, the probability P(X < 68) is approximately 0.016 or 1.6%.
b) To find the probability that a randomly selected utility bill is between $81 and $90, we need to find P(81 < X < 90). We calculate the z-scores for both values:
z1 = (81 - 100) / 15 = -1.2667
z2 = (90 - 100) / 15 = -0.6667
Using the standard normal distribution table or a calculator, we find the cumulative probability for z1 and z2: P(z1) ≈ 0.1038 and P(z2) ≈ 0.2514. Then, we subtract P(z1) from P(z2) to find the probability between the two values:
P(81 < X < 90) ≈ P(z1 < Z < z2) ≈ P(z2) - P(z1) ≈ 0.2514 - 0.1038 ≈ 0.1476 or 14.76%.
c) To find the probability that a randomly selected utility bill is more than $120, we need to find P(X > 120). We calculate the z-score:
z = (120 - 100) / 15 = 1.3333
Using the standard normal distribution table or a calculator, we find the cumulative probability for z = 1.3333, which is approximately 0.9088. Since we want the probability of X to be greater than 120, we subtract this value from 1:
P(X > 120) ≈ 1 - P(z) ≈ 1 - 0.9088 ≈ 0.0912 or 9.12%.
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The number 0.14356712341… never repeats or terminates. The number is number. Rounded to the nearest thousandth, it is
Answer:
Step-by-step explanation: The number to its right should be considered to round the given number to the nearest thousandth. If that number is greater than 5 then +1 is added to the existing number in the thousandth place, if that number is less than 5 then the thousandth number remains the same. if the number is 5 then the second number on the right is considered to round off this number and then the thousandth number is rounded off
A parking lot occupies a rectangular space measuring 120m by 80m. The owner wants to increase the parking lot by 25%. What would be the new dimension of the parking lot?
Answer:
150metres by 100metres
(x2 + 2xy + y2)(x+1)
A) X3 + 2x2y + x2 + y2 +xy2
B) X2 + 2xy + y2
C) x3 + x2 +2x2y +xy2 + y2 + 2xy
D) x2 + y2 + 2xy + x + 1
Please show me how you solved it, I'm struggling with these and need an example to follow off of to complete the assignment so I can understand it better. Thank you!
Answer: x3 + x2 +2x2y +xy2 + y2 + 2xy
PLSSSSSSSSS I NEED TO PASSS THIS CLASSS
c.y=-7
hope u pass have an amazing day <3
polygon angle sum theorems
Answer:
30. 540
31. 720
32.360
33. 540
34. 180
35.900
Step-by-step explanation:
Sum of the angles = number of sides in the polygon - two, all multiplied by 180 degrees.
*if you want to find the measure of one interior angle, take that same formula and divide by the number of sides n: (n - 2) * 180 / n.
30 .
sum of the angles = (5-2)180
sum of the angles =540
31.
sum of the angles = (6-2)180
sum of the angles =720
32.
sum of the angles = (4-2)180
sum of the angles =360
33.
sum of the angles = (5-2)180
sum of the angles= 540
34. sum of the angles = (3-2)180
sum of the angles = 180
35.
sum of the angles = (7-2)180
sum of the angles = 900
A high school has 40 players on the football team. The summary of the players' weights is given in the box plot. Approximately, what is the percentage of players
weighing less than or equal to 246 pounds?
There are 91% of players weighing less than or equal to 246 pounds that the players' weights are given in the box plot.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
We have been given that the box plot
Here, the total number of players = 40
And the minimum weight of players = 152 pounds
Third quartile (Q₃) = 246
In the box plot, approximately 10 of the 11 coverage intervals occur between 152 and 254.
So the approximate percentage of students that weigh 246 kg or less would be
⇒ (10 / 11)×100
⇒ 90.90
Therefore, there are 91% of players weigh less than or equal to 246 pounds.
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find the value of x
−3x+5=−1
Answer:
It equals poop in the face.
Step-by-step explanation:
Good-Bye poopy face.
answer quick its due in ten minutes
The number of grams of sugar that would be in a 200 ml glass of juice, given the carton, is 13. 2 grams of sugar
How to find the number of grams of sugar ?In a 250 ml glass of juice, we would see 16. 5 g of sugar. Given this information, we can find the amount of sugar in a 200 ml of juice by using direct proportion.
The amount of sugar in 200 ml of juice is :
= ( Amount of sugar in 250 ml x Quantity of juice ) / Quantity of base quantity of juice
= ( 16. 5 x 200 ) / 250
= 3, 300 / 250
= 13. 2 grams of sugar
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Before it started to rain, Bobby cut 1 8 of the grass in his yard and Danny cut 1 5 of the grass in the yard. Both boys were disappointed because they were not able to cut the entire yard. Which statement is TRUE?
A) Together the boys didn't even cut half the yard.
B) The boys were able to cut more than half the yard.
C) The boys cut almost three-fourths of the yard.
D) Together the boys cut almost the entire yard.
Answer:
Option A is correct
Step-by-step explanation:
Bobby = 1/8
Danny = 1/5
Let's add up both fractions:
1/8 + 1/5 =
1*5/8*5 + 1*8/5*8 = (multiplying both the numerator and
5/40 + 8/40 = 13/40 denominator by the opposite denominator)
Together, they both cut 13/40 of the entire lawn.
Let's check each option:
A) Together the boys didn't even cut half the yard.
True, half of the yard is 20/40, and 13/40 < 20/40
B) The boys were able to cut more than half the yard.
False, half of the yard is 20/40, and 13/40 is not greater than 20/40
C) The boys cut almost three-fourths of the yard.
False, three-fourths of the yard is 30/40, and 13/40 is not close.
D) Together the boys cut almost the entire yard.
False, the entire yard is 40/40 and 13/40 is not close.
-Chetan K
∠1 ​ and ∠2 are complementary. m∠1=x°m∠2=(3x 30)° what is the value of x? select from the drop-down menu to correctly answer the question.
The value of x is 15
If two angles sum to 90 degrees, they are said to be complimentary angles. In other terms, a right angle is created when two complementary angles are combined (90 degrees). If the sum of angles 1 and 2 equals 90 degrees (i.e., angle 1 plus angle 2 = 90°), then the angles are complementary and are referred to as one another's complements.
∠1 and ∠2 are complementary angles i.e the sum of ∠1 and ∠2 is 90° .
Thus
∠1 + ∠2 = 90°
x° + (3x+30)° = 90°
x + 3x + 30 = 90
4x = 90-30
4x = 60
x = 15
Therefore the value of x is 15.
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Dalvin is 1.85 meters tall. At 3 p.m., he measures the length of a tree's shadow to be 31.35 meters. He stands 27.2 meters away from the tree so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.
Answer: d
Step-by-step explanation: got itright