A car salesman earns 1/36 in commission. If he sold a car for $43,000, how much did he earn in commission?
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Answer:
1194 ....................... is the answer
Related Questions
writing and graphing linear equations glass art
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The graph of Linear Equation is always a straight line .
Helpppp plzzzzzzzzzz
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Answer: sara is 60
Step-by-step explanation: 64 divided by 4 equals 16. 16 plus 44 equals 60
Matthew invested $680 in an account paying an interest rate of 5.8% compounded daily. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 11 years?
Answers
Answer:
Step-by-step explanation:
1290
Based on the amount invested, the rate, and the period of compounding, after 11 years, the account would be $1,290.
As the rate is compounded daily, the rate and the period need to be converted to daily figures:
Rate = 5.8% / 365 days = 5.8/365 %
Period = 11 x 365 = 4,015 days
The amount in 11 years is:
= Amount x ( 1 + rate) ^ period
= 680 x (1 + 5.8/365%) ⁴⁰¹⁵
= $1,286.965
= $1,290
In conclusion, the account would have $1,290.
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how much natural gas can homeowners expect to use per month if they install 6 inches of insulation and the outdoor temperature is 47 degrees f? (round your answer to 2 decimal places.)
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The amount of natural gas that homeowners can expect to use per month is influenced by various factors, including insulation levels and outdoor temperature.
However, without additional information or an established relationship between these factors, it is not possible to provide a precise estimate.
Insulation levels and outdoor temperature are just a few of the many factors that affect natural gas usage.
Other factors such as the size and efficiency of the heating system, the size and layout of the home, the insulation of walls and windows, and individual usage patterns can significantly impact gas consumption.
To obtain a more accurate estimate, it is recommended to consult energy professionals, utility companies, or use energy consumption calculators specifically designed for estimating natural gas usage based on multiple variables.
These tools take into account various factors to provide a more accurate estimation of monthly natural gas consumption.
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A group of people paid a total of $240 to see a concert. The tickets each cost the same amount. There are more than 2 and less than 10 people in the group. What are the possible number of people in the group and the possible amounts paid per ticket?
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Using the properties of permutation and combination we can calculate that there are possible 3 ,4 ,5 ,6 or 8 people in the group.
A permutation of a set is, broadly speaking, a rearranging of its elements if the set is already ordered, or arranging its members into a sequence or linear order.
The act or procedure of altering the linear order of an ordered set is referred to as a "permutation."A combination is a choice of items from a group of different items where the order of the choices is irrelevant.There are 2 to 10 people in the group.
Lets us consider there are 3 people. Ticket price = 240 / 3= $80
Lets us consider there are 4 people. Ticket price = 240 / 4= $60
Lets us consider there are 5 people. Ticket price = 240 / 5= $48
Lets us consider there are 6 people. Ticket price = 240 / 6= $40
Lets us consider there are 8 people. Ticket price = 240 / 3= $30
Hence from the properties of permutation and combination we can see that there could be 3 ,4,5,6 or 8 people.
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If f(x)=−5x−8 and g(x)=2x+1, then what is (f∘g)(5.7)?
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Answer:
(f*g)(5.7)= -452.6, hopefully that answers your question
I suppose only 24% of 300
students choose conserve natural resources how many students choose conserving natural resources explain how you got your answer and how to find the model help you justify the answer
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Answer:
it's all about materialistic gain.
Joakim is icing 30 cupcakes. He spreads mint icing on 1 5of the cupcakes and chocolate on 1 2of the remaining cupcakes. The rest will get vanilla icing. How many cupcakes have vanilla icing?
Answers
Answer: 12
Step-by-step explanation:
From the question, we are informed that Joakim is icing 30 cupcakes and that he spreads mint icing on 1/5 of the cupcakes. This means that he spreads 1/5 × 30 = 6 cupcakes.
After spreading 6 cupcakes, he will have: 30 - 6 = 24 cupcakes left. We are told that he spreads chocolate on 1/2 of the remaining. This means that he spreads chocolate on 1/2 × 24 = 12 cupcakes.
Therefore, he will have 12 left
= 24 - 12
= 12
Therefore, the rest that'll get vanilla icing will be 12 cupcakes
Sunshine Preschool has a teeter totter that spins in a circle. The distance from the center to the outside edge of the teeter totter is 37 inches (in. ). What is the circumference of the circle that the teeter totter makes as it spins? Round your answer to the nearest hundredth of an inch
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232.29 inches is the circumference of the circle that the teeter totter makes as it spins.
The circumference of a circle is given by the formula:
C = 2πr
where r is the radius of the circle and π is a constant approximately equal to 3.14.
In this case, the distance from the center to the outside edge of the teeter totter is the radius of the circle, which is 37 inches.
Therefore, the circumference of the circle that the teeter totter makes as it spins is:
C = 2πr = 2π(37) ≈ 232.29 inches
Rounding this to the nearest hundredth of an inch gives:
C ≈ 232.29 inches
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problem 1. (12 points) light bulbs of a certain type are advertised as having an average lifetime of 800 hours. the price of these bulbs is very favorable, so a potential customer has decided to go ahead with a purchase arrangement unless it can be conclusively demonstrated that the true average lifetime is smaller than what is advertised. a random sample of 50 bulbs was selected, the lifetime of each bulb determined, and the appropriate hypotheses were tested, resulting in the accompanying output: variable n mean st. dev se of mean z p-value lifetime 50 738.44 38.20 5.40 -2.14 0.016 a) what conclusion would be appropriate for a significance level of .05? b) what about at a significance level of .01? c) which significance level would you recommend? why?
Answers
the test's finding at the 5% level of significance is that the true average longevity is not less than claimed.
The following is a definition of the test's hypothesis:
H0: The actual average lifetime, which is > 750 hours, is not less than what is stated
Ha! The actual average lifespan, at 750 hours, is less than what is advertised.
The examination is left-tailed.
Making a decision:
The null hypothesis is rejected if the test's p-value is less than the significance level (), and vice versa.
The test's p-value is calculated as,
0.016 as the p-value
(a)
The level of significance is 0.05.
The p-value is equal to 0.016/0.05.
The null hypothesis was rejected since the test's p-value was lower than the threshold for significance.
Consequently, the test's finding at the 5% level of significance is that the genuine average lifetime is shorter than
(b)
The level of significance is = 0.01.
The p-value is equal to 0.016 > = 0.01.
The null hypothesis could not be rejected since the p-value of the test was greater than the level of significance.
Therefore, the test's finding at the 5% level of significance is that the true average longevity is not less than claimed.
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Plz I might fail if I don’t get this done. PLZZZ Help
Answers
Answer:
f(10) = -130
Step-by-step explanation:
f(x) = -x² - 3x
f(10) = -(10)² - 3(10)
f(10) = -100 - 30
f(10) = -130
\(7(6t+2)+3-5(6+1)\)
Answers
Answer:
42t - 18.
Step-by-step explanation:
7(6t + 2) + 3 - 5(6 + 1) Simplifying:-
= 42t + 14 + 3 - 30 - 5
= 42t + 17 - 35
= 42t - 18.
evaluate 3xy2 y if x = 2 and y = 5
Answers
Answer:
60
Step-by-step explanation:
just plug x and y into the equation
3(2)(5)2
The use PEMDAS
Answer:
Step-by-step explanation:
Just plugin x = 2 and y = 5
3xy² = 3 *2 * 5²
= 3 * 2 * 5 * 5
= 150
Brand a 42 forks for $1. 49 round to the nearest scent, how much is each fork?
Answers
Answer: $0.04 for each fork
Step-by-step explanation:
1.49/42 = 0.035476...
1.49/42 = 0.04 (rounded)
Determine whether the following series converge or diverge: (a) ∑n=2[infinity]n3−n21. (b) ∑n=1[infinity]n!nn. (c) ∑n=1[infinity](−1)nn2arctan(2n).
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The series that converges or diverges are as follows
(a) \(\sum_{n=2}^{\infty} \frac{1}{n^3 - n^2}\) ⇒ converge
(b) \(\sum_{n=1}^{\infty} \frac{n^n}{n!}\) ⇒ diverges
(c) \(\sum_{n=1}^{\infty} (-1)^n \frac{arctan(2n)}{n^2}\) ⇒converges
How do we determine which series converges or diverges?
a) \(\sum_{n=2}^{\infty} \frac{1}{n^3 - n^2}\) = 2 - (π²/6) = 0.3551. Since the limit is a nonzero finite value (1), the given series has a convergence behavior.
b) \(\sum_{n=1}^{\infty} \frac{n^n}{n!}\) diverges. This can be determined by considering the comparison test with the harmonic series. We can see that \(1/n^{n/n!}\) ≤ \(1/n\)
c) \(\sum_{n=1}^{\infty} (-1)^n \frac{arctan(2n)}{n^2}\) = -0.876372.
This series is a alternating harmonic series, which is a series of the form \(\sum_{n=1}^{\infty} (-1)^n 1/n.\)
Alternating harmonic series converge if the limit of the terms as n goes to infinity is 0.
In this case, the limit of the terms as n goes to infinity is 0, so the series converges.
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the determinant of the matrix whose columns are vectors which define the sides of a parallelogram opposite one another is equal to the area of the parallelogram.
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The area of the parallelogram is equal to the absolute value of the determinant of the matrix .
Explanation:
To demonstrate that the determinant of the matrix whose columns are vectors defining the sides of a parallelogram is equal to the area of the parallelogram, we can follow these steps:
1. Let's consider two vectors that define the sides of a parallelogram, A and B, opposite to each other.
2. Form a matrix M with the components of the vectors A and B as columns:
\(M=det \left[\begin{array}{ccc}A_{x} &B_{x} \\A_{y} &B_{y} \end{array}\right]\)
3. Calculate the determinant of matrix M:
\(det(M) = (A_{x} *B_{y} ) - (B_{x} *A_{y} )\)
4. The area of a parallelogram can be found using the cross product of its side vectors:
Area = ||A x B||
5. The cross product of A and B is a vector with components:
A x B = (0, 0, A_x * B_y - A_y * B_x)
6. The magnitude of the cross-product is the area of the parallelogram:
Area = ||A x B|| = \(\sqrt{ (A_{x} *B_{y} ) - (B_{x} *A_{y} )^{2} }\) = \((A_{x} *B_{y} ) - (B_{x} *A_{y} )\)
Now, we can see that the area of the parallelogram is equal to the absolute value of the determinant of the matrix M:
Area = |det(M)|
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Let F = ∇f, where f(x, y) = sin(x − 7y). Find curves C1 and C2 that are not closed and satisfy the equation.
a) C1 F · dr = 0, 0 ≤ t ≤ 1
C1: r(t) = ?
b) C2 F · dr = 1 , 0 ≤ t ≤ 1
C2: r(t) = ?
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a. One possible curve C1 is a line segment from (0,0) to (π/2,0), given by r(t) = <t, 0>, 0 ≤ t ≤ π/2. One possible curve C2 is the line segment from (0,0) to (0,-14π), given by r(t) = <0, -14πt>, 0 ≤ t ≤ 1.
a) We have F = ∇f = <∂f/∂x, ∂f/∂y>.
So, F(x, y) = <cos(x-7y), -7cos(x-7y)>.
To find a curve C1 such that F · dr = 0, we need to solve the line integral:
∫C1 F · dr = 0
Using Green's Theorem, we have:
∫C1 F · dr = ∬R (∂Q/∂x - ∂P/∂y) dA
where P = cos(x-7y) and Q = -7cos(x-7y).
Taking partial derivatives:
∂Q/∂x = -7sin(x-7y) and ∂P/∂y = 7sin(x-7y)
So,
∫C1 F · dr = ∬R (-7sin(x-7y) - 7sin(x-7y)) dA = 0
This means that the curve C1 can be any curve that starts and ends at the same point, since the integral of F · dr over a closed curve is always zero.
One possible curve C1 is a line segment from (0,0) to (π/2,0), given by:
r(t) = <t, 0>, 0 ≤ t ≤ π/2.
b) To find a curve C2 such that F · dr = 1, we need to solve the line integral:
∫C2 F · dr = 1
Using Green's Theorem as before, we have:
∫C2 F · dr = ∬R (-7sin(x-7y) - 7sin(x-7y)) dA = -14π
So,
∫C2 F · dr = -14π
This means that the curve C2 must have a line integral of -14π. One possible curve C2 is the line segment from (0,0) to (0,-14π), given by:
r(t) = <0, -14πt>, 0 ≤ t ≤ 1.
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in a certain town, 40% of the people have brown hair, 25% have brown eyes, and 15% have both brown hair and brown eyes. a person is randomly selected from the town. using a venn diagram: a. if the randomly selected person has brown hair, then what is the probability that they also have brown eyes? b. if the person has brown eyes, what is the probability the they do not have brown hair? c. what is the probability that the person has neither brown eyes not brown hair?
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For (a) the probability that a person with brown hair also has brown eyes is 37.5%.
Let's calculate the probabilities directly:
Given:
P(Brown Hair) = 40% = 0.4
P(Brown Eyes) = 25% = 0.25
P(Brown Hair and Brown Eyes) = 15% = 0.15
a. Probability that a person with brown hair also has brown eyes:
We want to find P(Brown Eyes | Brown Hair), the probability that a person has brown eyes given that they have brown hair.
Using the formula for conditional probability:
P(Brown Eyes | Brown Hair) = P(Brown Hair and Brown Eyes) / P(Brown Hair)
P(Brown Eyes | Brown Hair) = 0.15 / 0.4 = 0.375 = 37.5%
Therefore, the probability that a person with brown hair also has brown eyes is 37.5%.
b. Probability that a person with brown eyes does not have brown hair:
We want to find P(Not Brown Hair | Brown Eyes), the probability that a person does not have brown hair given that they have brown eyes.
Using the formula for conditional probability:
P(Not Brown Hair | Brown Eyes) = P(Brown Eyes and Not Brown Hair) / P(Brown Eyes)
P(Not Brown Hair | Brown Eyes) = (P(Brown Eyes) - P(Brown Hair and Brown Eyes)) / P(Brown Eyes)
P(Not Brown Hair | Brown Eyes) = (0.25 - 0.15) / 0.25 = 0.10 = 10%
Therefore, the probability that a person with brown eyes does not have brown hair is 10%.
c. Probability that the person has neither brown eyes nor brown hair:
We want to find the probability that a person has neither brown eyes nor brown hair.
P(Neither) = 1 - P(Brown Hair) - P(Brown Eyes) + P(Brown Hair and Brown Eyes)
P(Neither) = 1 - 0.4 - 0.25 + 0.15 = 0.5 = 50%
Therefore, the probability that the person has neither brown eyes nor brown hair is 50%.
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Convert r = -4 sin theta to rectangular form. Identify the graph.
Please help me, I got it wrong.
Answers
The graph of the equation y = -4 + 4 cos²θ represents a cardioid, which is a heart-shaped curve.
To convert the polar equation r = -4 sin θ to rectangular form, we can use the following relationships between polar and rectangular coordinates:
x = r cos θ
y = r sinθ
Substituting the given polar equation into these equations, we have:
x = -4 sinθ cosθ and y = -4 sinθ sinθ
x= -4 sinθ cosθ and y = -4 sin²θ
Since sin²θ = 1 - cos²θ, we can rewrite the equation for y as:
y = -4 (1 - cos²θ)
y = -4 + 4 cos²θ
Now we have the rectangular form of the equation, with x and y in terms of cosθ.
The graph of the equation y = -4 + 4 cos²θ represents a cardioid, which is a heart-shaped curve.
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please help me !!!!! :(
Answers
Decimal 3rd row: 0.75
Fraction 3rd row: 75%
Decimal last row: 0.15
Fraction last row: 15%
Answer:
75%, 0.75
Step-by-step explanation:
The answer is 75% because if you do the math it takes 6 15's to reach the requirement of the Fraction that is on the right. So that would make the decimal form be 0.75. If you find any fault in my answer let me know. Thanks. Have a good day!
You meet two talking sea turtles. The sum of their ages is 388. The male turtle is 42 years older than the female. How old is the male
Answers
Answer:
the answer is b on plato
Step-by-step explanation
:
The age of the male sea turtle will be 215 years old.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
You meet two talking sea turtles. The sum of their ages is 388. The male turtle is 42 years older than the female.
Let x be the age of a male and y be the age of a female. Then the equations will be
x + y = 388 ...1
x = y + 42 ...2
From equations 1 and 2, then we have
y + 42 + y = 388
2y = 346
y = 173 years old
Then the value of x will be
x = 173 + 42
x = 215 years old
The age of the male sea turtle will be 215 years old.
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rachel is a stunt driver, and shes escaping from a building that is about to explode!
the variable d models rachels distance from her exit (in meters) t seconds after the cameras began recording the stunt.
d = -38t + 220
Answers
Answer:
I think this would be 182
Step-by-step explanation:
Solve the system by graphing.
Y=2x+10
y=x+6
First graph each line, then place a dot on the point that represents the solution to the system
Answers
Answer:
(-4,2)
Step-by-step explanation:
See attachment
Suppose X = 6. If X changes to 27, what percentage change is this? Please round your answer to 2 decimal places.
Answers
The percentage change from 6 to 27 is approximately 350.00%.
To calculate the percentage change, we can use the following formula:
Percentage Change = ((New Value - Old Value) / Old Value) * 100
Given:
Old Value (X) = 6
New Value = 27
Using the formula, we have:
Percentage Change = ((27 - 6) / 6) * 100
Calculating this expression, we find:
Percentage Change ≈ 350.00
Rounding the percentage change to two decimal places, we have:
Percentage Change ≈ 350.00%
Therefore, the percentage change from 6 to 27 is approximately 350.00%.
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The percentage change from 6 to 27 is approximately 350.00%.
To calculate the percentage change, we can use the following formula:
Percentage Change = ((New Value - Old Value) / Old Value) * 100
We have:
Old Value (X) = 6
New Value = 27
Using the formula, we have:
Percentage Change = ((27 - 6) / 6) * 100
Calculating this expression, we find:
Percentage Change ≈ 350.00
Rounding the percentage change to two decimal places, we have:
Percentage Change ≈ 350.00%
Therefore, the percentage change from 6 to 27 is approximately 350.00%.
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please help me i am confused
Answers
for P you have to
divide the 65 gallons by the 6,5 emptiying rate
you get 10 minutes
you do the same with the 63,5 gallons and the 5,25 rate and you get 12 minutes
brainliest would be great:))
Find the solution of the system of equations.
–6 - 2y = -40
- 7x – 2y = -44
Answers
Answer:
Step-by-step explanation:
(x,y) = (48/7, -22)
When a stone is dropped from a height, the time taken to fall, t, is proportional to the square root of the distance fallen, d.
Write down a formula, using k, connecting the time taken to fall and the distance traveled.
Answers
Step-by-step explanation:
We know that in kinematics we can write the formula for uniformly accelerated bodies:
s = 1/2 a t^2 + v0 t + s0
In our case s0 (initial deployment) = 0m and v0 (initial velocity) = 0
So:
s = 1/2 a t^2
Now we isolate t:
t = \(\sqrt[2]{\frac{2s}{a} }\)
All proportionalities are obvious.
Note: I forgot to say that a, the acceleration, is the gravitational acceleration. It can be g or -g depending on how you'll choose the reference system.
a data set has its first and third quartiles as 9 and 17 respectively. Which of the following data points would be considered an outlier for the data set
A. 27
B. 17
C. 3
D. 41
In which of these cases should the mean be used?
A. When the data is left-skewed
B. When the data is symmetric
C. When the data is right-skewed
D. When the data has extreme values
Answers
To determine if a data point is considered an outlier for a data set, we need to calculate the interquartile range (IQR) and use it to define the outlier boundaries. The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). The correct option is (B).
We have that Q1 = 9 and Q3 = 17, we can calculate the IQR as follows:
IQR = Q3 - Q1 = 17 - 9 = 8
To identify outliers, we can use the following rule:
- Any data point that is less than Q1 - 1.5 * IQR or greater than Q3 + 1.5 * IQR is considered an outlier.
Using this rule, we can evaluate each data point:
A. 27: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.
B. 17: This data point is not an outlier because it is equal to the third quartile (Q3).
C. 3: This data point is less than Q1 - 1.5 * IQR = 9 - 1.5 * 8 = -3. It is considered an outlier.
D. 41: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.
Therefore, the outliers in the data set are A (27) and D (41).
As for when to use the mean, it is generally recommended to use the mean as a measure of central tendency when the data is symmetric and does not have extreme values.
Therefore, the correct option would be B. When the data is symmetric.
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Books in the clearance section at Reading Central Bookmart cost $5.00 for paperbacks and $9.00 for hardbacks. Which inequality best describes the number of paperback books, p, and the number of hardback books, h, that can be purchased for $45.00 or less?
A.
5p + 9h < 45
B.
5p + 9h < 45
C.
9p + 5h > 45
D.
9p + 5h < 45
Answers
The inequality best describes the number of paperback books 'p' and the number of hardback books 'h' that can be purchased for $45.00 or less
is 5p + 9h ≤ 45.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Given, Two types of books paperbacks are represented by 'p', and hardbacks are represented by 'h'.
Also, we can only buy two types of books for $45 or less.
Therefore, The inequality representing the context is,
5p + 9h ≤ 45. (As the cost van be $45 or less not only less)
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What is 6r-6r^2 simplified?
Answers
Answer:
I would just rewrite it as -6r^2 + 6r