Company a charges a $100 annual fee plus a $9/hr car share fee. Company B charges $120 plus $7/hr. The minimum number of hours per year that a car share needs to be used for Company B to become a better deal is greater than 10 hours.
To determine when Company B becomes a better deal compared to Company A, we need to find the minimum number of hours per year at which the total cost of Company B is less than the total cost of Company A.
Let's denote the number of hours used per year as h.
Company A charges a $100 annual fee plus a $9/hour car share fee. Therefore, the total cost for Company A can be represented as:
Total Cost A = 100 + 9h
Company B charges $120 plus $7/hour. Thus, the total cost for Company B can be expressed as:
Total Cost B = 120 + 7h
To find the minimum number of hours at which Company B becomes a better deal, we need to set the total cost of Company B less than the total cost of Company A and solve for h:
120 + 7h < 100 + 9h
Rearranging the equation, we have:
9h - 7h > 120 - 100
2h > 20
Dividing both sides by 2, we get:
h > 10
In other words, if a person expects to use the car share service for more than 10 hours in a year, Company B would offer a lower total cost compared to Company A.
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Is the discriminant of ggg positive, zero, or negative?.
The discriminant of ggg is negative.
The discriminant is a term used in mathematics to determine the nature of the solutions of a quadratic equation. For a quadratic equation in the form ax^2 + bx + c = 0, the discriminant is given by b^2 - 4ac. If the discriminant is negative, it means that the quadratic equation has no real solutions. In the context of ggg, since the discriminant is negative, it indicates that the quadratic equation associated with ggg does not have real solutions. This could imply that ggg is not a quadratic expression or that it represents a quadratic expression with complex solutions.
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What are the possible values (positive, zero, or negative) for the discriminant of the quadratic equation represented by the function g(x)?
What is the relationship between 2 and 2?
As per the question, in context of mathematics the relation between 2 and 2 is equality relationship.
What is equality relationship in mathematics?n mathematics, an equality relationship is a relationship between two quantities or expressions that are equal to each other. This relationship is represented using the equals sign (=).
Why are relations important in mathematics?Relations are important in mathematics because they allow us to describe and analyze the relationships between different quantities or values. Relations can be used to describe how two quantities are related to each other, such as whether they are equal, greater than, or less than each other.
The relationship between 2 and 2 is that they are both equal to each other. In mathematics, two is a number that is equal to the sum of one plus one. It is a cardinal number, which means it is used to count the number of objects in a set. Two is also an even number, which means it is divisible by 2 without a remainder.
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Differential problem −u′′ +2u = f(x), u′(0) = u′(1) = 0 a difference scheme is constructed by Ritz method. It is necessary to investigate the stability, i.e. to find such 2 constants C1 , C2
1
||u|| ≤ C1||f||, ||u′|| ≤ C2||f||, where ||f||2 = f2(x)dx < [infinity]
0
It is necessary to use Parseval’s equality, using the decomposition in the solution of the system of Fourier methods.
To investigate the stability of the difference scheme constructed by the Ritz method for the differential problem −u′′ + 2u = f(x), where u′(0) = u′(1) = 0, we need to find two constants C1 and C2 such that ||u|| ≤ C1||f|| and ||u′|| ≤ C2||f|| hold.
In order to establish these inequalities, we can utilize Parseval's equality and the decomposition of the solution using Fourier methods. Parseval's equality states that for a function f(x) defined on an interval [a, b], the integral of the square of its modulus is equal to the sum of the squares of its Fourier coefficients. This equality allows us to analyze the behavior of the solution using the Fourier representation.
By decomposing the solution u(x) into a Fourier series, we can express it as u(x) = ∑(n=1 to ∞) cₙφₙ(x), where cₙ are the Fourier coefficients and φₙ(x) are the corresponding eigenfunctions. The eigenfunctions satisfy the boundary conditions u′(0) = u′(1) = 0, and the Fourier coefficients can be obtained using the inner product of the solution and the eigenfunctions.
Using Parseval's equality and the Fourier representation of the solution, we can establish the inequalities ||u|| ≤ C1||f|| and ||u′|| ≤ C2||f||, where C1 and C2 are constants determined based on the behavior of the Fourier coefficients and the function f(x). These inequalities provide insights into the stability of the difference scheme and ensure that the norm of the solution and its derivative remain bounded.
To investigate the stability of the difference scheme constructed by the Ritz method for the given differential problem, we employ Parseval's equality and the Fourier representation of the solution to establish inequalities relating the norms of the solution and its derivative to the norm of the forcing function. These inequalities depend on the behavior of the Fourier coefficients and the function f(x), allowing us to determine the constants C1 and C2 that ensure stability.
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Suppose a normally distributed set of data with 2400 observations has a mean of 162 and a standard deviation of 11. Use the 68-95-99.7 Rule to determine the number of observations in the data set expected to be below a value of 195. Round your result to the nearest single observation. Hint: This problem is asking for how many observations, not the percent. Answer= Tip: Don't round any probabilities or percentages in your calculations. Keep all decimal places and round at the END of the problem. Suppose a normally distributed set of data with 4000 observations has a mean of 137 and a standard deviation of 19. Use the 68-95-99.7 Rule to determine the number of observations in the data set expected to be above a value of 118. Round your answer to the nearest whole value. Hint: This problem is asking for how many observations not the percent.
Rounding to the nearest whole value, we get the estimated number of observations above 118 as 2940.
To determine the number of observations expected to be below a certain value using the 68-95-99.7 Rule, we need to find the area under the normal distribution curve up to that value.
For the first scenario:
Mean (μ) = 162
Standard deviation (σ) = 11
Value to evaluate (x) = 195
We want to find the area under the curve to the left of x = 195. This corresponds to the cumulative probability of a value being less than 195 in a normal distribution.
Using a standard normal distribution table or a calculator, we can find that the cumulative probability for x = 195 is approximately 0.961. This means that about 96.1% of the observations are expected to be below 195.
To find the number of observations, we multiply the cumulative probability by the total number of observations:
Number of observations = 0.961 * 2400 = 2306.4
Rounding to the nearest single observation, we get the estimated number of observations below 195 as 2306.
For the second scenario:
Mean (μ) = 137
Standard deviation (σ) = 19
Value to evaluate (x) = 118
We want to find the area under the curve to the right of x = 118. This corresponds to the cumulative probability of a value being greater than 118 in a normal distribution.
Using the same approach, we can find that the cumulative probability for x = 118 is approximately 0.735. This means that about 73.5% of the observations are expected to be above 118.
To find the number of observations, we multiply the cumulative probability by the total number of observations:
Number of observations = 0.735 * 4000 = 2940
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Depreciation is the accountant's estimate of the cost of Blank______ used in the production process matched with the benefits produced from owning it.
Depreciation is the accountant's estimate of the cost of a capital asset used in the production process, which is allocated over its useful life based on the benefits it generates.
Depreciation is a concept in accounting that recognizes the gradual reduction in value or usefulness of a capital asset over time. When a company purchases a capital asset, such as machinery, equipment, or vehicles, it incurs a cost that is expected to be spread over the asset's useful life. This cost is allocated as an expense called depreciation. The purpose of depreciation is to match the cost of the asset with the benefits it produces during its useful life. The estimation of depreciation involves considering factors like the initial cost of the asset, its expected useful life, and its residual value (the estimated value at the end of its useful life). By spreading the cost of the asset over its useful life, depreciation helps in accurately reflecting the consumption of the asset's value in the production process and provides a more accurate representation of the company's financial performance.
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darwin's geometric ratio of increase pertains specifically to
Darwin's geometric ratio of increase pertains specifically to the growth rate of populations in biological organisms. According to Darwin's theory of evolution, populations have the potential to increase exponentially over time if certain conditions are met. The geometric ratio of increase, often denoted as "r" or the intrinsic rate of natural increase, represents the factor by which a population multiplies during each reproductive cycle or generation.
In the context of natural selection, individuals with higher reproductive rates (higher r-values) have a greater chance of passing on their genetic traits to the next generation. Over time, this can lead to significant population growth and evolutionary changes within a species. However, the geometric ratio of increase is limited by various factors, such as availability of resources, competition, predation, and environmental constraints, which can result in a balance between population growth and environmental carrying capacity.
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An account earns simple interest.
$2000 at 3.5% for 4 years
a. Find the interest earned.
$
b. Find the balance of the account.
Answer:
2280
Step-by-step explanation:
In phase 2 of a three-phase clinical trial to test the efficacy of the BNT163b2 mRNA vaccine for COVID-19, participants were randomly assigned to receive either the vaccine or a placebo. In the placebo group, 18,325 participants with no evidence of infection received placebo injections and 162 eventually contracted COVID-19. Of the 18,198 participants with no evidence of infection who received the vaccine, 8 eventually contracted COVID-19. Conventional wisdom suggested that the infection rate for COVID-19 was about 3%. Assume that the 18,325 people who received the placebo represent a simple random sample of all people with no prior evidence of infection and have not been vaccinated. Let's say you carry out a hypothesis test of significance to determine if there is evidence from this sample that the proportion of unvaccinated people who catch the virus is not 0.03. Compute the one-sample z- statistic. Give your answer to at least one decimal place.
The one-sample z-statistic for evaluating the hypothesis that unvaccinated people get COVID-19 is not 0.03 is -85.7. This statistic tested the hypothesis that unvaccinated people do not get COVID-19 at 0.03%.
In order to compute the one-sample z-statistic, we must first do a comparison between the observed proportion of COVID-19 instances in the placebo group and the expected proportion of 0.03. (p - p0) / [(p0(1-p0)) / n is the formula for the one-sample z-statistic. In this formula, p represents the actual proportion, p0 represents the predicted proportion, and n represents the sample size.
The observed proportion of COVID-19 instances among those who received the placebo is 162/18325 less than 0.0088. According to the received wisdom, the proportion that should be anticipated is 0.03. The total number of people sampled is 18325. After entering these numbers into the formula, we receive the following results:
z = (0.0088 - 0.03) / √[(0.03(1-0.03)) / 18325] ≈ (-0.0212) / √[(0.0291) / 18325] ≈ -85.7
As a result, the value of the z-statistic for just one sample is about -85.7. This demonstrates that the observed proportion of COVID-19 cases in the unvaccinated population is significantly different from the expected proportion of COVID-19 cases in that population.
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Nome:
Volume of the Building
Find the volume of the building. Calculate the volume of each building port,
Then add the volumes of the two parts together
8 m
8 m
8 m
20000
10 m
DOOD
2014
4
Volume of part 1
Volume of part 2
m
Volume of the building
m
Answer:
If you split the building into 2 parts, the first part (left) would be 8m × 10m × 4m = 320m3, and the second part (right) would be 8m × 4m × 6m = 192m3
320m3 + 192m3 = 513m3
on 1
-4 is to the left of O so that means O is
than -4. Greater Less
Answer:
O is greater than -4
Step-by-step explanation:
Answer:
O is less than -4
0<-4
Step-by-step explanation:
2) How many full rotations will it take for each tire to travel 10,000 miles?
Answer this question in the orange boxes below. Hint: convert your
circumference from question #1 to feet (if it's already in feet, you're all set!),
then divide 52,800,000 by that number. Why 52,800,000? Because
52,800,000 ft = 10,000 miles.
Note: click here for common conversions.
Circumference of Tire (from
problem 1 above) in feet
Number of Turns to go 10,000
miles
Example:
6.28ft
52,800,000 ft
6.28 ft/rotation
= 8.407,643 rotations
Tire #1
Tire #2
Tire #3
The Tire #1 needs to make 8,407,643 full rotations to travel 10,000 miles. We can repeat this process for Tire #2 and Tire #3, using their respective circumferences to calculate the number of rotations.
To find the number of full rotations each tire will need to travel 10,000 miles, we need to divide 52,800,000 by the circumference of each tire in feet. Let's say the circumference of Tire #1 is 6.28 feet (as per example). Dividing 52,800,000 by 6.28 gives us approximately 8,407,643 rotations.
For Tire #1:
Number of Turns (T1) = 52,800,000 ft / C1 ft/rotation
For Tire #2:
Number of Turns (T2) = 52,800,000 ft / C2 ft/rotation
For Tire #3:
Number of Turns (T3) = 52,800,000 ft / C3 ft/rotation
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No time is thinking of a six digit number in which all the digits are the same the value of the digit in the thousands place is 8000 what is new Times number
Answer:
The number is 888888
Step-by-step explanation:
Here, we are interested in knowing the six digit number thought of by No time.
The clue we have here is that the six digit number has same value of digit for all its constituent.
Thus, if the digit in the thousands place is 8,000, then it actually means that it carries a value of 8 and thus, all the digits in the number is 8 alone.
So the 6 digit number is 888888
The numbers in this sequence increase by 40 each time
30,70,110,150
the sequnce is continued with the same rule
which number in the sequnce will be closest to 300
Answer:
The number closest to 300 would end up being 310!
Step-by-step explanation:
Checking account A charges a monthly service fee of $20 and a wire transfer
fee of $3, while checking account B charges a monthly service fee of $30 and
a wire transfer fee of $2. How many transfers would a person have to have for
the two accounts to cost the same?
A. 10
B. 31
C. 0
D. 21
Solve the equation, -(X/ d )=5 , for x . Which of the following properties of equality did you apply
Answer:
Multiplication
The solution of given equation x = -20
Step-by-step explanation:
step (i) :-
given equation = -(x/4) = 5
multiply '1' on both sides we get
\( = - (( - \frac{x}{4} )) = - 5\)
\( = \frac{x}{4} = - 5\)
step (ii) :-
multiply '4' on both sides we get
\( = \: \: \: \: \: \frac{x}{4} \: \: \times \: 4 \: \: = - 5 \times 4\)
Cancellation '4' on left side we get
x = -20
conclusion:-
The solution of given equation x = -20
With the airplane loaded as follows, what action can be taken to balance the airplane? front seat occupants = 411 lb rear seat occupants = 100 lb main wing tanks = 44 gal
The airplane will become balanced if we add a 100- pound weight to the baggage compartment.
Why should the weight on the airplane be balanced?An airplane is used to convey people and goods from one point to another by air. The airplane must be airlifted. This means that the airplane must be balanced while on air. If the airplane is not balanced, it may be difficult to control.
Looking at the situation of this airplane, the airplane will become balanced if we add a 100- pound weight to the baggage compartment.
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Find all of the cube roots of ii and write the answers in rectangular (standard) form.
To find all of the cube roots of ii and write the answers in rectangular form, we need to first express ii in polar form. To do this, we can convert ii to its polar form by writing it as a complex number in the form r(cosθ + isinθ), where r is the magnitude and θ is the argument.
In this case, we have ii = 1(cos(π/2) + isin(π/2)). The magnitude of ii is 1, and the argument is π/2. Now, to find the cube roots, we need to find the numbers that, when raised to the power of 3, give us ii. To find the cube roots, we can use De Moivre's theorem, which states that for any complex number z = r(cosθ + isinθ), the nth roots of z can be found by taking the nth root of the magnitude and dividing the argument by n.
In this case, we have n = 3, r = 1, and θ = π/2. Taking the cube root of the magnitude 1 gives us 1^(1/3) = 1. Dividing the argument π/2 by 3 gives us (π/2) / 3 = π/6. So, the first cube root is 1(cos(π/6) + isin(π/6)). To find the other cube roots, we can add multiples of 2π/3 to the argument. Adding 2π/3 to π/6 gives us π/6 + 2π/3 = π/2. So, the second cube root is 1(cos(π/2) + isin(π/2)), which is equal to ii. Adding another 2π/3 gives us π/2 + 2π/3 = 7π/6. So, the third cube root is 1(cos(7π/6) + isin(7π/6)). Therefore, the cube roots of ii in rectangular .
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Find the area of the figure. Round your answer to the nearest tenth.
Answer:
18.0
Step-by-step explanation:
the difference between the squares of two numbers is 10. the difference between the two numbers is 2. what is their sum?
If the difference between the squares of two numbers is 10 and the difference between the two numbers is 2, their sum would be 5.
How to solve an equation?An equation is an expression that can be used to show the relationship between variables and numbers.
Let a and b represent the two numbers.
The difference between the squares of two numbers is 10. Hence:
a² - b² = 10
(a - b)(a + b) = 10 (1)
The difference between the two numbers is 2, hence:
a - b = 2
Substituting:
(a - b)(a + b) = 10
2(a + b) = 10
(a + b) = 5
Their sum is 5.
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. The selling price of 15 articles is Rs 1,500 at a gain of 8%. Find C.P of each article
Rs. 92.59 is each article's CP
Step-by-step Explanation:-
As per conditions given,
\(1500 \div 15 \div (1 + 8\)%)
\( = > 100 \div 1.08\)
\( = > approx. \: 92.59\)
Hence, the CP of each article is Rs. 92.59
please helpppppppppp
Answer:
Incorrect
Step-by-step explanation:
The fraction of 6/12 all squared gives 36/144 36/36 and 144/36 reduces to 1/4.
.......................
Answer:
hi
Step-by-step explanation:
100 Points and Brainly.
Write an Equation
Based on the information write an equation that represents the relationship between the time you spent doing the activity and the amount of the activity you completed. Make sure to define your variables.
This is my data
-------------------------------------------------------------------------
3. I did the activity 105 Times in a minute and a half
4. The Dependent Variable is 105
5. The Independent Variable is 1 minute.
-------------------------------------------------------------------------
Answer:
See below
Step-by-step explanation:
Feel free to be creative or even to come up with an activity you think your teacher has not seen before.
Liked that. So let's be creative.
Part 1: Record Information
Spend a short amount of time (one to five minutes) doing your activity. Answer the following questions:
1. What was the activity?
I am from Japan and practice Kendo (feel free to search about it). Suppose you are doing suburi. You did 100 joge suburi.
2. How long did you spend doing your activity?
Suppose it took you 5 minutes.
3. How much of the activity did you complete in the time period? (Example: I did 24 sit-ups in one minute.)
You did 100 joge suburi in 5 minutes. It means \(\frac{100}{5} =20\) \(per\) \(minute\)
4. Which of these variables is your dependent variable?
If you want to calculate how much suburi you did in an amount of time , given the time in minutes, we can write the function
\(y=f(x)=20x\)
Therefore, the dependent variable is the number of suburis. More precisely it is given by \(y\). On the other hand, the independent variable is \(x\), the time.
Considering the example: I did 24 sit-ups in one minute.
sit-ups is the dependent variable and the number of minutes represents the independent variable.
Note: The number of sit-ups will depend on the time. 24 is the coefficient. In this case, the function would be
\(g(x)=24x\)
5. Which one is the independent variable?
The time in minutes.
6. Write a sentence that describes the relationship between the dependent variable and the independent variable. (Hint: Ratio language can help.)
You can write: The ratio of suburi done is 100:5 or 20:1 because for every 1 minute passed you did 20 suburis.
Part 2: Prepare a Table
Assuming that you could complete the activity at the same rate over different time periods, how much of the activity could you complete in two minutes, three minutes, four minutes, and five minutes? (Note: If you spent two minutes doing your activity, then you should edit the table below and use multiples of 2 up to 10).
You may use the table below for your variables.
Time (minutes) Quantity of suburi
0 0
1 20
2 40
3 60
4 80
5 100
Part 3: Prepare a Graph
Create a graph to show your relationship. Make sure you include all the parts for a graph and show the data clearly. Include a title for the graph and label the x- and y-axes.
This part I will let it to your. But is is just a linear graph.
Part 4: Write an Equation
Based on your recorded values, write an equation that represents the relationship between the time you spent doing the activity and the amount of the activity you completed. Make sure to define your variables.
\(y=f(x)=20x,\) ∀\(x\) ∈ \(Z\)\(\geq_0\)
\(y:\) \(number\) \(of\) \(suburis\)
\(x:\) \(time\)
7. If you were able to maintain this rate of your activity for 12 minutes, how much of the activity would you be able to complete?
For \(x=12\): \(y=f(12)=20*12=240\)
240 suburis
8. How long would it take you to reach 100 for the number of times you did your activity?
5 minutes.
9. Which representation do you believe is the best way to share this information with someone else? This is your opinion. No answer is right or wrong.
The function is the best because it describes all the variables easily.
Nan wrote each letter in the word ILLINOIS on a separate slip of paper. She put
the slips in a bag. What is the probability of her drawing a slip that is labeled
with a vowel?
A 1/8
B. 218
C. 3/8
D. 4/8
E. 5/8
Answer:
D. 4/8
Step-by-step explanation:
To find probability, you simply divide what you are looking for over the total. In the word, ILLINOIS, you have 4 vowels, and 8 letters total, so the probability of finding a vowel would be 4/8.
Determine the y intercept (b) of the line 4x+2y+24=0
Answer:
\(4x + 2y + 24 = 0 \\ 2y = - 4x - 24 \\ y = - 2x - 12 \\ { \boxed{y - intercept = - 12}}\)
The polynomial P is graphed.
What is the remainder when P(x) is divided by (x+1)?
(image should be attached somewhere)
Answer:
The remainder will be 3.
Step-by-step explanation:
We can use the Polynomial Remainder Theorem. According to the PRT, if we have a polynomial P(x) divided by a binomial in the form (x - a), then the remainder will be given by P(a).
Our polynomial P(x) is given by the graph, and we are dividing it by the binomial (x + 1).
We can rewrite the binomial as (x - (-1)).
Therefore, a = -1.
Then the remainder will be P(-1).
Looking at the graph, we can see that P(-1) = 3.
Thus, the remainder when P(x) is divided by (x + 1) is 3.
Answer:
The remainder is 3 :)
Step-by-step explanation:
please mark me as brainliest
HELPPP!!
The equation of the line in slope-Intercept form is
Answer:
Step-by-step explanation:
Slope intercept form is y = mx + b
b is the y intercept
m is the slope
the y intercept is 40
y = mx + 40
the slope is -1
y = -1x + 40
Colby worked three more hours
on Tuesday than he did on Monday. On
Wednesday, he worked one hour more
than twice the number of hours that he
worked on Monday. If the total number
of hours is two more than five times the
number of hours worked on Monday,
how many hours did he work on
Mondav?
a summer concert series has 12 different prerforming artisits. you decide to attend at least 4 of the concerts. how many different combinations can you attend?
Answer:
48 I think
Step-by-step explanation:
in euclidean geometry the sum of the angles in a triangle equals 180 degrees. is this also true in spherical geometry?
No, the statement "In spherical geometry, the sum of the angles in a triangle equals 180 degrees." is not true.
The term triangle in geometry refers the polygon with three vertices, sides and angle.
Here we have given the statement "in Euclidean geometry the sum of the angles in a triangle equals 180 degrees"
And we need to find whether this is this also true in spherical geometry.
Basically, the sum of the angles of a spherical triangle is not equal to 180°. Because, we know that the sphere is a curved surface, where locally the laws of the flat Euclidean geometry are good approximations.
Therefore, here in a small triangle on the face of the earth, then the sum of the angles is only slightly more than 180 degrees.
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