A car dealership paid $12,800 for a car. They mark up the price by 20%
to get the retail price. What is the retail price of the car at this dealership?
Answers
Answer:
$15,360
Step-by-step explanation:
To find the retail price, multiply 12,800 by 1.2
12,800(1.2)
= 15,360
So, the retail price is $15,360
Answer:
$15360
Step-by-step explanation:
10% of 12,800 = 1280
20% = 1280 x 2 = 2560
Add this on to the original price to give $15,360
Related Questions
what is the probability that a student will complete the exam in more than 60 minutes but less than 75 minutes? (round your answer to four decimal places.)
Answers
The Probability that a student will complete the exam 0.2676.
The probability of completing the exam in one hour or less is:
\(P (x < 60)\)
= \(P (z < (60-83)/13)\)
=\(P (z < -1.77)\)
= 0.0384.
The probability that a student will complete the exam in more than 60 minutes, but less than 75 minutes is.
\(P (60 < x < 75)\)
= \(P (x < 75)-P (x < 60)\)
Now,
\(P (x < 75)\)
=\(P (z < (75-83)/13)\)
= \(P (z < -0.62)\)
=0.2676.
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Tommy can lay a brick walkway by himself in 12 hours. Robert does the same job in 10 hours.
Working together, how long will it take them to lay the brick walkway?
PLEASE HELP I NEED ASAP.
Answers
Answer:
5 5/11 hours
Step-by-step explanation:
So, there is a trick to doing this.
You would first need to get their work rate into the same measurements.
That's why we will find out how much they each work in one hour.
Tommy does 1/12 of the work in one hour while Robert does 1/10.
Here we can add them both up to make 11/60.
They finish 11/60 of the work in one hour.
They finish the job in 5 5/11 hours.
Express the negations of the proposition using quantifiers and in English "There is a student in
this class who has never seen a computer"
Answers
The negation of the proposition posed the statement is:
"Every student in this class has seen a computer."
What is the express the negations of the proposition using quantifiers and in English "There is a student in this class who has never seen a computer"?The negation of the proposition "There is a student in this class who has never seen a computer" can be expressed using quantifiers as follows:
∀ x ∈ S, ∃ y ∈ C (x has seen y)
This means "For all students x in the class S, there exists a computer y in the set of computers C such that x has seen y."
In English, the negation of the proposition can be expressed as "Every student in this class has seen a computer."
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if you can help i would be happy
Answers
Answer:
x =8
Step-by-step explanation
8 - 5 + 3 = 9
Vanessa earns a base salary of $400.00 every week with an additional %5, percent commission on everything she sells. Vanessa sold $1650.00 worth of items last week. What was Vanessa's total pay last week?
Answers
Answer:
$482.50
Step-by-step explanation:
Base salary: $400
5% of 1,650 is 82.50
.05 x 1,650 = 82.50
Commission : $82.50
Equation: 400 + 82.50 = $482.50
for a specific location in a particularly rainy city, the time a new thunderstorm begins to produce rain (firstdrop time) is uniformly distributed throughout the day and independent of this first drop time for the surrounding days. given that it will rain at some point both of the next two days, what is the probability thatthe first drop of rain will be felt between am and pm on both days?
Answers
Thus, the probability that the first drop of rain will be felt between am and pm on both days is 0.33.
The probability that the first drop of rain will be felt between am and pm on both days can be calculated using conditional probability.
Let A be the event that the first drop of rain is felt between am and pm on the first day and B be the event that the first drop of rain is felt between am and pm on the second day. We need to find P(A and B | A or B).
Using the law of total probability, we can write P(A or B) as the sum of two probabilities: P(A) + P(B) - P(A and B), where P(A and B) is the probability that the first drop of rain is felt between am and pm on both days.
Since the firstdrop time is uniformly distributed throughout the day and independent of the surrounding days, we can assume that the probability of the first drop of rain being felt between am and pm on any given day is 12/24 or 0.5. Thus, P(A) = P(B) = 0.5.
To find P(A and B), we can use the fact that the firstdrop time on the second day is independent of the firstdrop time on the first day.
Thus, the probability of the first drop of rain being felt between am and pm on both days is the product of the probabilities for each day, or (0.5)*(0.5) = 0.25.
Putting it all together, we have P(A or B) = 0.5 + 0.5 - 0.25 = 0.75, and P(A and B | A or B) = P(A and B) / P(A or B) = 0.25 / 0.75 = 1/3 or 0.33.
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10. Which pelagic zone begins at 1000 meters and is pitch black, has bioluminescent creatures, but no plant life?
mesopelagic zone
epipelagic zone
bathypelagic zone
abyssopelagic zone
Answers
The bathypelagic zone begins at 1000 meters and is pitch black, has bioluminescent creatures, but no plant life.
What is bathypelagic zone ?The bathypelagic zone is a global region of deep ocean waters located between 1,000 and 4,000 meters (3,000 feet) below the surface. A broad range of aquatic life, including eels, fish, mollusks, and others, call it home.
In contrast to the mesopelagic zone, the bathypelagic zone has a constant temperature. It never rises or falls much over a chilly 39°F (4°C).Fish, mollusks, crabs, and jellyfish are the organisms that are most frequently discovered at this depth and pressure. Sometimes sperm whales will hunt at these depths to catch gigantic squid as prey.In the bathypelagic zone, no producers have been discovered. Because producer organisms are autotrophic and manufacture their own food through photosynthesis, this is the case. The bathypelagic zone is also known as the midnight zone since no light can enter there.What is pelagic zone ?The entire ocean water column is included in the pelagic zone, which is an ecological domain. The pelagic zone is the most densely populated area on Earth, with a volume of 1,370,000,000 cubic kilometers (330,000,000 cubic miles) and a vertical range of 11,000 meters (36,000 feet).
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Answer:
bathypelagic zone
Step-by-step explanation:
24+x-4 if x = 2, y = -3, and z = 1.
Answers
Answer: 22
Step-by-step explanation:
24+x-4
Simplify
24+2-4
Simplify
24-2 = 22
(i think you didn't insert everything lol)
x
Your company takes orders over the phone. The company's average call time is 4.6 minutes.
The graph below shows 4 calls and the difference between the call time and the company's
average call time. For these 4 calls, what is the mean difference between the call times and the
company's average call time, rounded to the nearest 0.1 minute?
x
X
(Note: A negative difference indicates the call is shorter than the average.)
DA bar graph showing the difference between average call time and the call time for four calls. The values are: Call 1,
negative 2.32 minutes. Call 2, negative 1.55 minutes. Call three, positive 4.79 minutes. Call four, positive 0.68
minutes.
A.-2.3
B. -0.4
C. 0.4
D. 1.6
Answers
Using the mean concept, it is found that the mean difference between the call times and the company's average call time is given by:
C. 0.4What is the mean?The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.In this problem:
The four observations are the differences between the time of each phone call and the average time.They are: {-2.32, -1.55, 4.79, 0.68}Hence, the mean difference is:
\(M = \frac{-2.32 - 1.55 + 4.79 + 0.68}{4} = 0.4\)
Hence, option C is correct.
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Fill in the blank to complete the following sentence. If a polynomial has one root in the form a square root b, it has a second root in the form of a_ square root b.
Answers
Answer:
a *1√b
Step-by-step explanation:
note that 1 multiplying any number is = that same number that a *1 =a ...= a√b
Complete sentence is,
⇒ If a polynomial has one root in the form a +√b , it has a second root in the form of a - √b.
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
Now, When roots of polynomials occur in radical form, they occur as two conjugates.
That is,
The conjugate of (a + √b) is (a - √b) and vice versa.
Hence, To show that the given conjugates come from a polynomial, we should create the polynomial from the given factors.
The first factor is x - (a + √b).
The second factor is x - (a - √b).
The polynomial is
f(x) = [x - (a + √b)]*[x - (a - √b)]
= x² - x(a - √b) - x(a + √b) + (a + √b)(a - √b)
= x² - 2ax + x√b - x√b + a² - b
= x² - 2ax + a² - b
This is a quadratic polynomial, as expected.
If you solve the quadratic equation x² - 2ax + a² - b = 0 with the quadratic formula, it should yield the pair of conjugate radical roots.
x = (1/2) [ 2a +- √(4a² - 4(a² - b)]
= a +- (1/2)*√(4b)
= a +- √b
x = a + √b, or x = a - √b, as expected.
Thus, Complete sentence is,
⇒ If a polynomial has one root in the form a +√b , it has a second root in the form of a - √b.
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In the data set below, what is the interquartile range?
10
20
24
39
51
Answers
Step-by-step explanation:
20 is answer To find the interquartile range (IQR), first find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.What is π is it a rational or irrational
Answers
Answer:
irrational
Step-by-step explanation:
I need a really smart person for this
how many people make up 000.35 percent of 36.7 percent of america
please answer as soon as possible
Answers
Answer:
9
Step-by-step explanation:
Answer:
96 people according to my calculations , hope i helped
Step-by-step explanation:
Find the highest common factor of these numbers 6 and 8
Answers
Answer:
2
Step-by-step explanation:
6 = 2*3
8 = 4*2
The greatest common factor is 2
in a random sample of 400 headache suffers, 85 prefer a particular brand of pain killer. how large a sample is required if we want to be 99% confidence that our estimate of percentage of people with headaches who prefer this particular brand of pain killer is within 2 percentage points? round your answer to the next whole number. n:
Answers
A sample size of 669 is required to be 99% confident that the estimate of the percentage of people with headaches who prefer this particular brand of painkiller is within 2 percentage points.
To determine the sample size required to estimate the percentage of people with headaches who prefer a particular brand of painkiller with a 99% confidence level and a margin of error of 2 percentage points, we can use the formula for sample size calculation for proportions.
The formula is given by:
\(n = (Z^2 * p * (1 - p)) / E^2\)
Where:
n = required sample size
Z = Z-score corresponding to the desired confidence level (in this case, for a 99% confidence level, Z = 2.576)
p = estimated proportion (we can use the proportion from the initial sample, which is 85/400 = 0.2125)
E = margin of error (0.02 or 2 percentage points)
Substituting the values into the formula:
\(n = (2.576^2 * 0.2125 * (1 - 0.2125)) / 0.02^2\)
Calculating the expression:
n = 668.34
Rounding up to the nearest whole number, the required sample size is 669.
Therefore, a sample size of 669 is required to be 99% confident that the estimate of the percentage of people with headaches who prefer this particular brand of painkiller is within 2 percentage points.
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2/3 x -2 1/4 x -1 1/2
Answers
Answer:
2/3 x -2 1/4 = -1.5
1.5 x 1 1/2 = 2.25
Answer:
9/4
Step-by-step explanation:
2/3 × -2 1/4 - 1 1/2
=2/3 × -9/4 × -3/2
=9/4
Find the maximum rate of change of f at the given point and the direction in which it occurs.
F(x, y, z) = (8x + 5y)/z
(5, 6, -1)
maximum rate of change
direction vector
Answers
The direction in which the maximum rate of change of f occurs at the point (5, 6, -1) is approximately (-0.17, -0.11, -0.98).
To find the maximum rate of change of the function f at the given point (5, 6, -1) and the direction in which it occurs, we can calculate the gradient of f at that point.
The gradient vector represents the direction of maximum increase of the function, and its magnitude represents the rate of change in that direction.
The gradient vector (∇f) of f(x, y, z) = (8x + 5y)/z can be found by taking the partial derivatives with respect to each variable:
∂f/∂x = 8/z
∂f/∂y = 5/z
∂f/∂z = -(8x + 5y)/z^2
Evaluated at the point (5, 6, -1), we have:
∂f/∂x = 8/(-1) = -8
∂f/∂y = 5/(-1) = -5
∂f/∂z = -((8(5) + 5(6))/(-1)^2) = -46
So, the gradient vector (∇f) at the point (5, 6, -1) is (-8, -5, -46).
The maximum rate of change of f at this point is given by the magnitude of the gradient vector:
|∇f| = √((-8)^2 + (-5)^2 + (-46)^2) = √(64 + 25 + 2116) = √2205 = 47.
Therefore, the maximum rate of change of f at the point (5, 6, -1) is 47.
To determine the direction in which this maximum rate of change occurs, we normalize the gradient vector by dividing it by its magnitude:
Direction vector = (∇f) / |∇f| = (-8/47, -5/47, -46/47).
Hence, the direction in which the maximum rate of change of f occurs at the point (5, 6, -1) is approximately (-0.17, -0.11, -0.98).
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In 2010, the average attendance at a Washington
Capitals hockey game was 18,397. This year, the
average attendance was 18,506. By what percent did
the attendance increase from 2010 to now? Round your
answer to the nearest tenths place.
Answers
Answer:
0.5924%.
Step-by-step explanation:
The requried percentage change in attendance increase from 2010 to now is 0.608%.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
In 2010, the average attendance at a Washington capitals hockey game was 18,397.
This year, the average attendance was 18,506.
Percentage change = 18506 - 18397/18397 × 100%
= 0.608%
Thus, the requried percentage change in attendance increase from 2010 to now is 0.608%.
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Find the inverse of the following f(x)=-3x^2+3 X>0
Answers
Answer
f^-1(x) =√[(3-x)÷3]
Step-by-step explanation:
y=-3x^2+3
interchange 'y' with 'x'
x=-3y^2+3
make y the subject
3y^2=3-x
divide by '3' both sides
y^2=(3-x)÷3
apply square root both sides
√(y^2)=√[(3-x)÷3]
y=√[(3-x)÷3]
f^-1(x) =√[(3-x)÷3]
the inverse of the given function is
f^-1(x)=√[(3-x)÷3]
What amount of money is needed at the start of the week so that there is an estimated 2.0% probability of running out of money
Answers
You would need approximately $2.06 (rounding to the nearest cent) at the start of the week to have an estimated 2.0% probability of running out of money.
To determine the amount of money needed at the start of the week to have a 2.0% probability of running out of money, you'll need to use the concept of probability.
Here are the steps to calculate it:
1. Determine the desired probability: In this case, it's 2.0%, which can be written as 0.02 (2.0/100 = 0.02).
2. Calculate the z-score: To find the z-score, which corresponds to the desired probability, you'll need to use a standard normal distribution table or a calculator. In this case, the z-score for a 2.0% probability is approximately -2.06.
3. Use the z-score formula: The z-score formula is z = (x - μ) / σ, where z is the z-score, x is the desired amount of money, μ is the mean, and σ is the standard deviation.
4. Rearrange the formula to solve for x: x = z * σ + μ.
5. Substitute the values: Since the mean is not given in the question, we'll assume a mean of $0 (or whatever the starting amount is). The standard deviation is also not given, so we'll assume a standard deviation of $1.
6. Calculate x: x = -2.06 * 1 + 0 = -2.06.
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cynthia has earned 1,000 and wants to put it in a savings account that earns 5% simple interest. Assuming. She makes no additional deposits or withdrawals, what will be the total value of Cynthia's account after 48 months.
Answers
Answer:1,200
Step-by-step explanation: The formula for Simple Interest is I=prt p=principal r=rate expressed as decimal t=time in years
I=1,000*0.05*4
0.05 because 5% in decimal form it’s 0.05
4 because 48months dived by 12= 4 years
200=1,000*0.05*4 The interest is 200 but they are asking for the total value so then you add the amount you initiated with 1,000+200=1,200
A 6 foot ladder is leaning against a wall and makes a 57 degree angle with the ground. How high does the ladder reach on the wall
Answers
Answer:
357
Son:tep-by-step explanati
Solve the equation for the specified variable.
s=gh-4gc4, for g
Answers
Answer:
OOOOOOOOOOOOOOOOOOOOOOOOOOO OK BRO
Step-by-step explanation:
Which of the following describe 4.61? Select all that apply.
real number
rational number
natural number
irrational number
Answers
Answer:
Irrational number
Real Number
A farmer uses 920 grams of grain to feed his 8 chickens. At this rate how many grams of grains does he use to feed 100 chickens
Answers
Answer: 11,500 grams
Step-by-step explanation: 920/8=115 115*100= 11,500
hey! i’ll give brainliest please help
Answers
Explanation: A simple sentence consists of only one clause, with a single subject and predicate.
Daquin finished 30% of his homework in 27 minutes. How many minutes will it take him to finish the rest of his homework?.
Answers
It will take Daquin 63min to finish rest of his homework which is 70% of the total homework, if 30% is done in 27 minutes.
Daquin has completed 30% of his work.
Remaining work will be 100-30 = 70%
Means 70% of the total work is remaining to do by Daquin.
By applying unitary method:
Since, to do 30% of the homework it take 27 minutes.
Therefore, To do 1% of the homework it will take 27/30 minutes.
So, To do 70% of the homework it will take (27/30)×70 min
= 63 min
Hence, It will take him 63min to finish rest of his homework.
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Celia has 83 beads. She makes 6 bracelets and uses the same number of beads for each bracelet. How many beads does Celia have left over?
Answers
Answer:
5
Step-by-step explanation:
Find −1/4(−8.6) . Write your answer as a decimal to the nearest hundredth.
Answers
Answer:
2.15
Step-by-step explanation:
I will assume that "−1/4(−8.6)" is telling us to multiply (-8.6) times -(1/4):
(-1/4)*(-8.6)
= (8.6/4)
= 2.15
A muffin recipe uses 1/3 cup of milk per batch. Which model shows how many batches can be made with 3 cups.
Answers
Answer: 1/3
Step-by-step explanation: