Which of the following is not an item in the income statement? SELECT ONLY ONE a. Discount allowed b. Furniture & Fixture c. Furniture & Fixture d. Discount received
The item that is not an item in the income statement is b. Furniture & Fixture as it is considered a fixed asset and is reported on the balance sheet instead.
The income statement, also known as the profit and loss statement, provides a summary of a company's revenues, expenses, gains, and losses over a specific period. It helps to assess the financial performance of a business. The income statement typically includes various items such as revenues, cost of goods sold, operating expenses, interest income or expense, and other gains or losses.
a. Discount allowed is a revenue item that represents the discounts given to customers as an incentive for early payment or other reasons. It is usually reported as a deduction from sales revenue.
c. Furniture & Fixture is not typically included in the income statement. Instead, it is considered a non-operating or non-recurring item and is generally classified as a fixed asset on the balance sheet. Fixed assets represent long-term investments made by a company for its operations.
d. Discount received is also not an item in the income statement. It represents the discounts received by a company from its suppliers for early payment or other reasons. Similar to discount allowed, it is usually reported as a deduction from the respective expense account.
In summary, b. Furniture & Fixture is the item that is not included in the income statement. It is considered a fixed asset and is reported on the balance sheet instead.
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Time set 1:25,what is the elapsed time if the longhand moves to 10?
The elapsed time refers to the amount of time that has passed between two specific points and The elapsed time would be 35 minutes.
To calculate this, you would need to determine the angle that the longhand moves from 1:25 to 10. Since the clock has 12 hours and 360 degrees, each hour is equal to 30 degrees (360/12). At 1:25, the longhand is 5 minutes past the 1 o'clock mark, which means it has moved 1/12 of the way between 1 and 2 o'clock. This is equivalent to an angle of 30/12 = 2.5 degrees. From there, you would need to determine how far the longhand moves from the 2.5-degree mark to the 300-degree mark at 10 o'clock. Since there are 60 minutes in an hour, and the longhand moves 360 degrees in 60 minutes, it moves 6 degrees per minute. Therefore, the longhand moves 300-2.5 = 297.5 degrees in (10-1:25) = 8.75 minutes. This is equivalent to 297.5/6 = 49.58 minutes. Adding the initial 5 minutes gives us a total elapsed time of 35.58 minutes, which we can round to 35 minutes.
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i dont understand the whole lesson " sove percent change and percent error problems "
Answer:
Read Below
Step-by-step explanation:
Of which can be considered the “correct” value. The percent difference is the absolute value of the difference over the mean times 100. quantity, T, which is considered the “correct” value. The percent error is the absolute value of the difference divided by the “correct” value times 100.
percent change: shows the change as a percent of the old value ... so divide by the old value and make it a percentage
example: the percentage change from 5 to 7 is: 2/5 = 0.4 = 40%
and percent error: shows the error as a percent of the exact value ... so divide by the exact value and make it a percentage:
example:65/325 = 0.2 = 20%
Hopes this Helps :D
Xavier, Yosef & Zeke are three brothers whose total weight is 200 pounds. Xavier and Yosef together are equal to Zeke. Yosef is 5 less than twice Xavier. How much does Xavier weigh?
100 lbs
65 lbs
35 lbs
95lbs
The weight of the three brothers, Xavier, Yosef and Zeke are 35 lbs, 65 lbs and 100 lbs respectively.
Given:
Total weight = 200 pounds
Xavier weight = x
Yosef weight = y
Zeke weight = z
Xavier and Yosef together are equal to Zeke.
x + y = z (1)
Yosef is 5 less than twice Xavier
y = 2x - 5 (2)
substitute y = 2x - 5 into (1)
x + y = z (1)
x + (2x - 5) = z
x + 2x - 5 = z
3x - 5 = z
Recall
x + y + z = 200
x + (2x - 5) + (3x - 5) = 200
x + 2x - 5 + 3x - 5 = 200
6x - 10 = 200
6x = 200 + 10
6x = 210
x = 210/6
x = 35 lbs
Therefore,
y = 2x - 5
= 2(35) - 5
= 70 - 5
y = 65 lbs
and
3x - 5 = z
3(35) - 5 = z
105 - 5 = z
100 lbs = z
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(a+6)-(a+2)Simplify
Answer: 4
One leg of a right triengle is decreasing at a tate of 5 kilometers per hour and the other leg of the triangle is increasing at a rete of 14 kilometers per hour. Ara certain anstant the decreasing leg is 3 kilometers and the increasing leg is 9 kilometers. What is the rate of change of the area of the right triangle at that instant (in square kilometers per hour)? 11 e 111 01.5 -1.5 Stuck? Watch a video or use a hint
The rate of change of the area of the right triangle at that instant is -1.5 sq km/h.
Let ABC be a right triangle, right-angled at B.
the side decreasing be, BC = x
and the increasing side be, AB = y
then, AC = z = √(x² + y²) (using Pythagoras theorem)
It is given that, dx/dt = - 5km/h and dy/dt = 14 km/h
x = 3, y= 9 at certain instant
now, the area of the triangle = 1/2 xy
A = 1/2 xy
dA/dt = 1/2 (y).dx/dt + x/2.dy/dt
at x = 3, y = 9, substituting the values,
(dA/dt) = 1/2 (9)(-5) + 3/2 (14)
= -1.5
therefore, the rate of change of the area of the right triangle at the instant when x=3 and y= 9 is -1.5 sq km/h.
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There are 8 red, 8 blue and 8 yellow marbles in a jar. What is the fewest marbles you can remove from the jar so that the ratio of red to non-red marbles is 3 to 7 and so that the ratio of yellow to non-yellow marbles is also 3 to 7?
Answer:
5 red, 5 yellow, and 4 blue
Step-by-step explanation:
Answer:
5 red, 5 yellow, and 4 blue :)
Step-by-step explanation:
Given a mean and standard deviation of 3,500 and 2,000 cfs, respectively, find the 2-, 10-, and 100-year peak floods for a normal distribution.
The 2-, 10-, and 100-year peak floods for a normal distribution are 5500 cfs.
Given a mean and standard deviation of 3,500 and 2,000 cfs, respectively, the 2-, 10-, and 100-year peak floods for a normal distribution can be found as follows:
Formula used in finding the peak flood is as follows:
Q_T= Q_m + K_T
σ
Where Q_T is the flow for a given period,
Q_m is the mean flow, K_T is the coefficient of skewness, and σ is the standard deviation of the flows.
For a normal distribution, K_T= frac{\text{duration of period in years}-1}{2}\times\frac{\text{duration of period in years}+1}{2}
Substitute the mean and standard deviation to the formula above:
When the period of interest is 2 years, the coefficient of skewness is calculated below:
[{{K}_{T}}=\frac{\text{(2-1)(2+1)}}{2}=1\]
Also, K_{T} is 1 for the 10-year and 100-year flood.
When these values are computed, we get the following values:
Q_{2}=3500+1(2000)=5500 \text{ cfs}
Q_{10}=3500+1(2000)=5500 \text{ cfs}
Q_{100}=3500+1(2000)=5500 \text{ cfs}
Therefore, the 2-, 10-, and 100-year peak floods for a normal distribution are 5500 cfs.
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I need help with this assignment and finding the measures and equations
Answer:
(4x-9)° +(6x+2)° +x° = 180°∠P = 59°∠Q = 104°∠R = 17°Step-by-step explanation:
Given ∆PQR with ∠P = (4x-9)°, ∠Q = (6x+2)°, and ∠R = x°, you want an equation to find x, and the measures of the angles.
EquationThe equation expresses the fact that the sum of angles in a triangle is 180°.
∠P +∠Q +∠R = 180°
(4x -9)° +(6x +2)° +x° = 180°
Solution11x -7 = 180 . . . . . . . . . . . . divide by °, collect terms
11x = 187 . . . . . . . . . add 7
x = 17 . . . . . . . . divide by 11
AnglesThe angle measures are found by substituting for x in the angle expressions:
∠P = (4·17 -9)° = 59°
∠Q = (6·17 +2)° = 104°
∠R = 17°
Given the piont and slope write the equation of the line 4,2 slope = 3
Answer:
I am not sure which form you want.
Points slope: y -2 = 3(x -4)
Slope intercept: y = 3x -10
Step-by-step explanation:
Point slope form for the line
y- y = m(x -x)
slope of 3 and the point (4,2) Use 4 for x and 2 for y
y -2 = 3(x -4)
Slope intercept form of a line
y = mx + b
2 = 3(4) + b
2 = 12 + b Subtract 12 from both sides
2 - 12 = 12 - 12 + b
-10 = b
y = mx + b
y = 3x -10
perimeter of a ground is 6m. Find the cost of fencing it at the rate of rs 250per meter
Answer:
to find the rate of fencing, you should find the perimeter of the rectangle.
2(l+b)
2(155+125)
2*180
360m
cost of fencing = 360*10
= Rs 3600
now to find the cost of fielding, find the area
(l*b)
155*125
19375 square mtr
cost of fielding = 19375*15
= Rs 290625
Step-by-step explanation:
what is the intersection between the lines 2y + 3x = 5 and 4x + 5y= 11?
Answer:
3/7 & 13/7
Step-by-step explanation:
Find the power set for the following sets (Write 3 examples of each)
a) Two sets A & B both having any 2 elements
b) Two sets A & B both having any 3 elements
c) Two sets A & B both having any 4 elements
Given statement solution is :- a) Power set for two sets A and B with any 2 elements:
Set A: {1, 2}, Set B: {3, 4}
Power set of A: {{}, {1}, {2}, {1, 2}}
Power set of B: {{}, {3}, {4}, {3, 4}}
b) Power set for two sets A and B with any 3 elements:
Set A: {1, 2, 3}, Set B: {4, 5, 6}
Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}
Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}
c) Power set for two sets A and B with any 4 elements:
Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}
Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}
Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},
a) Power set for two sets A and B with any 2 elements:
Set A: {1, 2}, Set B: {3, 4}
Power set of A: {{}, {1}, {2}, {1, 2}}
Power set of B: {{}, {3}, {4}, {3, 4}}
Set A: {apple, banana}, Set B: {cat, dog}
Power set of A: {{}, {apple}, {banana}, {apple, banana}}
Power set of B: {{}, {cat}, {dog}, {cat, dog}}
Set A: {red, blue}, Set B: {circle, square}
Power set of A: {{}, {red}, {blue}, {red, blue}}
Power set of B: {{}, {circle}, {square}, {circle, square}}
b) Power set for two sets A and B with any 3 elements:
Set A: {1, 2, 3}, Set B: {4, 5, 6}
Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}
Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}
Set A: {apple, banana, orange}, Set B: {cat, dog, elephant}
Power set of A: {{}, {apple}, {banana}, {orange}, {apple, banana}, {apple, orange}, {banana, orange}, {apple, banana, orange}}
Power set of B: {{}, {cat}, {dog}, {elephant}, {cat, dog}, {cat, elephant}, {dog, elephant}, {cat, dog, elephant}}
Set A: {red, blue, green}, Set B: {circle, square, triangle}
Power set of A: {{}, {red}, {blue}, {green}, {red, blue}, {red, green}, {blue, green}, {red, blue, green}}
Power set of B: {{}, {circle}, {square}, {triangle}, {circle, square}, {circle, triangle}, {square, triangle}, {circle, square, triangle}}
c) Power set for two sets A and B with any 4 elements:
Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}
Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}
Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},
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Complete the table for the quadratic function below. Type the value of y that
corresponds with each value of x.
y=2(x-3)²-2
xy=2(x-3)²-2
1
2
3
4
5
Answer: in the following order:
6
0
-2
0
6
Step-by-step explanation:
Just need to evaluate the function for each value of X
for x=1 y=2(1-3)^2-2= 6
for x=2 y=2(2-3)^2-2= 0
for x=3 y=2(3-3)^2-2= - 2
for x=4 y=2(4-3)^2-2= 0
for x=5 y=2(5-3)^2-2= 6
Let f(x) = 2x² - 3x and g(x) = 5x - 1.
Find g[f(2)].
g[f(2)] =
Answer:
Step-by-step explanation:
To find g[f(2)], we need to evaluate the composite function g[f(2)] by first finding f(2) and then substituting the result into g(x).
Let's start by finding f(2):
f(x) = 2x² - 3x
f(2) = 2(2)² - 3(2)
= 2(4) - 6
= 8 - 6
= 2
Now that we have the value of f(2) as 2, we can substitute it into g(x):
g(x) = 5x - 1
g[f(2)] = g(2)
= 5(2) - 1
= 10 - 1
= 9
Therefore, g[f(2)] is equal to 9.
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When Harry mixes different materials to pave a road, he knows that they must be kept at the following temperatures in degrees Fahrenheit. Calculate the temperatures in degrees Celsius. A). Bituminous material must be between 200°F and 260°F. B). Water solution must be between 65°F and 100°F. C). The mixing gel must be between 160°F and 210°F.
In conclusion the temperature range for bituminous material is between 93.3°C and 126.7°C, the temperature range for the water solution is between 18.3°C and 37.8°C, the temperature range for the mixing gel is between 71.1°C and 98.9°C.
How to solve?
To convert temperatures from Fahrenheit (°F) to Celsius (°C), we can use the following formula:
°C = (°F - 32) × 5/9
A) Bituminous material must be between 200°F and 260°F.
To convert these temperatures to Celsius, we can use the formula:
The lower limit of 200°F is (200 - 32) × 5/9 = 93.3°C.
The upper limit of 260°F is (260 - 32) × 5/9 = 126.7°C.
Therefore, the temperature range for bituminous material is between 93.3°C and 126.7°C.
B) Water solution must be between 65°F and 100°F.
To convert these temperatures to Celsius, we can use the formula:
The lower limit of 65°F is (65 - 32) × 5/9 = 18.3°C.
The upper limit of 100°F is (100 - 32) × 5/9 = 37.8°C.
Therefore, the temperature range for the water solution is between 18.3°C and 37.8°C.
C) The mixing gel must be between 160°F and 210°F.
To convert these temperatures to Celsius, we can use the formula:
The lower limit of 160°F is (160 - 32) × 5/9 = 71.1°C.
The upper limit of 210°F is (210 - 32) × 5/9 = 98.9°C.
Therefore, the temperature range for the mixing gel is between 71.1°C and 98.9°C.
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What is the discriminant of the quadratic equation 0 = 2x² + 3x - 5?
-37
-31
43
49
Answer:
D 49
Step-by-step explanation:
just did it
7⋅5+(4^2−2^3)÷4 answers: 49 41 34 9
On evaluating the given expression 7.5 + (4² − 2³) ÷ 4, we get 9.5 as the result.
What is Expression?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. For example -
5x + 7 = 6
7r + π = 4
Given is the following expression -
7.5 + (4² − 2³) ÷ 4
The given expression is -
7.5 + (4² − 2³) ÷ 4
Using the BODMAS rule, we can solve -
7.5 + (16 - 8) ÷ 4
7.5 + 8 ÷ 4
7.5 + 2
9.5
Therefore, on evaluating the given expression 7.5 + (4² − 2³) ÷ 4, we get 9.5 as the result.
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a sweepstakes gives away $1 000 000, by giving away $25 in the first week, $75 in the second week, $225 in the third week, and so on. how many weeks will it take to give away all of the prize money.
It will take approximately 12 weeks to give away all of the prize money according to the given geometric progression
The series in question is a geometric series, meaning it can be defined by a formula. find out how many weeks it will take to give away all of the prize money. a sweepstakes gives away $1,000,000 by giving away $25 in the first week, $75 in the second week, $225 in the third week, and so on. To find out how many weeks it will take to give away all of the prize money, sum up the series.
The formula for the sum of a geometric series is given by;
\(S_n=\frac{a(1-r^n)}{1-r}\)
where a is the first term
- r is the common ratio
- n is the number of terms
In this case, a = 25 and r = 3. find how many weeks it will take to give away all of the prize money, find n such that the sum of the series is equal to $1,000,000. Therefore, we have;
\(S_n=\frac{25(1-3^n)}{1-3}\)
\(S_n=-\frac{25(3^n-1)}{2}\)
\(1,000,000=-\frac{25(3^n-1)}{2}\)
\(-40,000=3^n-1\)
\(3^n=39,999\)
\(n=\log_3 39,999 \approx 11.38\)
Therefore, it will take approximately 12 weeks to give away all of the prize money.
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Parsons Bank offers two checking-account plans. The No Frills plan charges
25 cents per check whereas the Simple Checking plan costs $
5 per month plus
5 cents per check. For what number of checks per month will the Simple Checking plan cost less?
If the number of checks are greater than 25, the Simple Checking plan cost less.
We have two checking account plans at Parson's bank.
We have to determine for what number of checks per month will the Simple Checking plan cost less.
What is an Inequality in Mathematics ?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Let for x number of checks per month the simple checking plan cost less.
For No frills plan -
Charge per check - $0.25
Therefore, for x checks, it will cost - $0.25x
For Simple Checking plan -
Fixed monthly charges - $5
Charges per check - $0.50
Therefore - for x checks - $5 + $0.50x
Now - for Simple Checking plan to cost less than No frills plan -
5 + 0.05x < 0.25x
5 < 0.25x - 0.05x
5 < 0.2x
x > 25
Hence, if the number of checks are greater than 25, the Simple Checking plan cost less.
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a math teacher claimed that the average grade of the students in her algebra 2 classes this year would be equal to the average grade of the same students in algebra 1 classes two years ago. the average grade of algebra 1 students two years ago was 92%. in a random sample of 25 current algebra 2 students, the average grade was 87%, with a standard deviation of 7%. is there enough evidence to reject the teacher's claim?
From the hypothesis test conducted, the calculated t-statistic of -3.57 is less than the lower critical t-value of -2.064. This tells us that the observed sample mean of 87% is significantly different from the claimed population mean of 92% at the 0.05 significance level. Therefore, the null hypothesis can be rejected and conclusions can be made that that there is enough evidence to suggest that the average grade of the students in the Algebra 2 class this year is not equal to the average grade of the same students in the Algebra 1 class two years ago.
How do we conduct a hypothesis test?To determine whether there is enough evidence to reject the teacher's claim, we can conduct a hypothesis test. A one-sample t-test will be us to compare sample mean.
Here are the sample statistics:
Sample size (n) = 25
Sample mean (X) = 87%
Sample standard deviation (s) = 7%
A significance level (α) of 0.05, wil be used
We first calculate the t-statistic, with (X - μ) / (s/√n),
t = (87 - 92) / (7/√25) = -5 / (7/5) = -3.57
Then, we check this value against the critical t-value for a two-tailed test with 24 degrees of freedom (n-1), and α = 0.05.
The critical t-values for a two-tailed test at α = 0.05 and df = 24 are approximately -2.064 and +2.064.
-3.57 t-test is less than the lower critical t-value of -2.064. This means that the observed sample mean of 87% is significantly different from the claimed population mean of 92% at the 0.05 significance level.
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Tammy made $234 for 18 hours of work.
At the same rate, how many hours would she have to work to make $104?
Answer:
8 hours of work
Step-by-step explanation:
$234 ÷ 18 = $13 an hour
$104 ÷ 13 = 8 hours of work
If the probability of a new employee in a fast-food chain still being with the company at the end of the year is 0. 5, what is the probability that out of 8 newly hired people?
Using binomial distribution, the probability of
a. 5 will still be with the company after 1 year is 28%.
b. at most 6 will still be with the company after 1 year is 89%.
The probability of a new employee in a fast-food chain still being with the company at the end of the year is given to be 0.6, which can be taken as the success of the experiment, p.
We are finding probability for people, thus, our sample size, n = 8.
Thus, we can show the given experiment a binomial distribution, with n = 8, and p = 0.6.
(i) We are asked for the probability that 5 will still be with the company.
Thus, we take x = 5.
P(X = 5) = (8C5)(0.6⁵)((1 - 0.6)⁸⁻⁵),
or, P(X = 5) = (56)(0.07776)(0.064),
or, P(X = 5) = 0.27869184 ≈ 0.28 or 28%.
(ii) We are asked for the probability that at most 6 will still be with the company.
Thus, our x = 6, and we need to take all values below it also.
P(X ≤ 6)
= 1 - P(X > 6)
= 1 - P(X = 7) - P(X = 8)
= 1 - (8C7)(0.6)⁷((1 - 0.6)⁸⁻⁷) - (8C8)(0.6)⁸((1 - 0.6)⁸⁻⁸)
= 1 - 8*0.0279936*0.4 - 1*0.01679616*1
= 1 - 0.08957952 - 0.01679616
= 0.89362432 ≈ 0.89 or 89%.
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The provided question is incomplete. The complete question is:
If the probability of new employee in a fast-food chain still being with the company at the end of 1 year is 0.6, what is the probability that out of 8 newly hired people,
a. 5 will still be with the company after 1 year?
b. at most 6 will still be with the company after 1 year?
lou and mira want to rescind their contract under which lou sold an mp3 player to mira for $50. to rescind the contract
Lou and Mira can rescind the contract to sell an MP3 player to Mira for $50 if both parties agree to the terms of rescission and sign a written agreement.
Rescission of a contract refers to an equitable remedy granted by the courts or given as a contractual right to one party to terminate a contract. This remedy returns the parties to their former positions before the contract's execution, which requires that both parties to a contract return whatever benefits they had received during the transaction.
In Lou and Mira's scenario, the rescission of their contract to sell an MP3 player to Mira for $50 can be possible if the parties reach an agreement to rescind the contract in writing. The following steps should be taken to rescind the contract:
1. The parties should agree to rescind the contract: For a rescission to be effective, both parties must consent to rescind the contract. This is possible if both parties agree to the terms of rescission and sign a written agreement. The agreement must state the date of rescission, the reason for the rescission, and the terms of the agreement.
2. Restitution: Restitution refers to the return of the subject matter of the contract. Since it is an MP3 player, Lou must return the MP3 player to Mira. In turn, Mira must also return the $50 to Lou. This will effectively end the contract, and the parties can go their separate ways.
3. Cancellation of any obligations: The parties must agree to cancel any obligation that arose from the contract. In this case, no obligations may arise from the rescission of the contract, so no further action is required.
4. Record keeping: It is crucial to keep a record of the rescission agreement. This record will serve as evidence of the rescission if any legal issues arise. It should include the date of rescission, the reasons for rescission, and the terms of the agreement. The parties must keep a copy of the document for their records.
In conclusion, Lou and Mira can rescind the contract to sell an MP3 player to Mira for $50 if both parties agree to the terms of rescission and sign a written agreement. The agreement must include the date of rescission, the reason for rescission, and the terms of the agreement.
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the amount of all coffee served at a coffee shop is having a normal distribution with a mean of 12 ounces and a standard deviation of 2 ounces. a) what is the approximate mean of the sampling distribution of samples means if many samples of 4 cups of coffee are sampled?
The approximate mean of the sampling distribution of sample means is 12 ounces
To find the mean of the sampling distribution of sample means, we need to use the formula
μM = μ
where μM is the mean of the sampling distribution of sample means, and μ is the population mean.
In this case, the population mean is 12 ounces. Since we are sampling 4 cups of coffee, the sample size is n = 4. The standard deviation of the sampling distribution of sample means can be calculated using the formula
σM = σ/√n
where σ is the population standard deviation.
Substituting the given values, we get:
σM = 2/√4 = 1
Therefore, the approximate mean of the sampling distribution of sample means is
μM = μ = 12 ounces
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Please help me with this math problem!! NO LINKS PLEASE!! Will give brainliest if correct!! :)
Answer:
A: 2/7-29%
B:1/7-14%
C:4/7-57%
D is correct
E: 5/7-71%
F: 4/10-40%
Step-by-step explanation:
Divide the color of the marble presented in the problem by 7, the total number of marbles. For E the total number of marbles is 10 because you add 3 more.
Write out the first four terms of the Maclaurin series of f(x) if
f(0)=9,f'(0)=-4,f''(0)=12,f'''(0)=11
f(x)=
The first four terms of the Maclaurin series of f(x) are f(x) is \(9 - 4x + 6x^2 + (11x^3)/6\)
To find the Maclaurin series of a function f(x) given its derivatives at x = 0, we can use the following formula:
f(x) = f(0) + f'(0)x + (f''(0)x^2)/2! + (f'''(0)x^3)/3! + ...
Given the values f(0) = 9, f'(0) = -4, f''(0) = 12, and f'''(0) = 11, we can substitute these values into the formula to find the first four terms of the Maclaurin series:
f(x) = 9 + (-4)x + (12x^2)/2! + (11x^3)/3!
Simplifying each term, we have:
f(x) \(= 9 - 4x + 6x^2 + (11x^3)/6\)
Therefore, the first four terms of the Maclaurin series of f(x) are:
f(x) \(= 9 - 4x + 6x^2 + (11x^3)/6\)
It's important to note that this series is an approximation of the function f(x) near x = 0. As we include more terms in the series, the approximation becomes more accurate.
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What is a vertex . Please explain Thanks..
Step-by-step explanation: In geometry, a vertex is where two rays share a common endpoint or where they interest each other.
The rays are called the sides of the angle and
common endpoint is called the vertex.
The vertex is very important when naming angles because
the vertex is always at the center when naming the angle.
Below is an example of two rays that share a
common endpoint which is called the vertex.
An equilateral triangle with side length 9 cm is shown in the diagram, work out the area of the triangle.
Give your answer rounded to 1 DP.
Question:-
Find the area of an equilateral triangle with side length = 9cm correct upto one decimal place.
_______________________________________________
Solution:-
In an equilateral triangle all sides are equal.
Let s = side length = 9 cm
Then, area of equilateral triangle is given as:
A = (√3/4)s²
Putting the value of s here,
A = (√3/4) * (9 cm)²
=> A = (√3/4) * 81 cm²
=> A = √3 * 20.25 cm²
We know that, √3 = 1.732
=> A = 1.732 * 20.25 cm²
=> A = 35.073 cm²
Rounding to one decimal place,
=> A = 35.1 cm²
_______________________________________________
The answer is 35.1 cm².
Hope this helps; have a great day!
Examine the graph. What is the solution to the system written as
a coordinate pair?
Answer: -4,2
Step-by-step explanation:
look at where they cross.