At a real estate​ agency, an agent sold a house for ​$375,000. The commission rate is ​6.5% for the real estate agency and the commission rate for the agent is ​20% of the amount the real estate agency gets. How much did the agency make on the​ house? How much did the agent earn in​ commission?

Answer:

The answer is D) 12

There are two trips, but the distances are the same.

Trip #1: uphill, at 9 mph

Trip #2: downhill at 18 mph

Total round trip is 30 minutes.

Since he's going half the speed uphill, Trip #1 takes twice as long as Trip #2.

So if the time for Trip #2 is x, then the time for Trip #1 is 2x.

     x + 2x = 30, so x=10

Trip #2 takes 10 minutes.

Trip #1 takes 20 minutes.

Trip #1: 20 minutes at 9 mph = 3 miles

Trip #2: 10 minutes at 18 mph = 3 miles

This means his school is 3 miles away.

If you want an equation to solve,

Let d = distance to school.  We use d = r·t formula to set up that t = d/r

let t1 = time going to school and t2 = times going home

t1 + t2 = 30 and t1 = d/9 and t2 = d/18.

    d/9 + d/18 = 0.5    (it's 0.5, because we need the time in hours)

      mutiply both sides b 18

    2d + d = 9

     3d = 9

       d = 3

Answer:

D. 30

Step-by-step explanation:

60 = 2x

30 = x

Answer:

In this scenario, the school wants to use an AI system to classify fans at sporting events and direct them to either the home or away side of the stadium. This system could potentially use various AI technologies, such as image recognition, facial recognition, or even crowd analysis, to determine the affiliation of the fans and direct them to the appropriate side. This could help to improve the overall experience of the fans by reducing congestion and ensuring that they are able to sit with other fans that share their loyalty. However, it is important to note that implementing such a system also raises privacy and ethical concerns, such as the potential for bias or misuse of personal data. It is important for the school to carefully consider these issues before implementing such a system.

The probability that the chosen fruit was an orange and was drawn from Bag 2 is approximately 0.269 or 26.9%.

There are three bags of fruits with different numbers of apples and oranges in each bag. We need to calculate the probability that the fruit drawn is an orange and was drawn from Bag 2.

We can use Bayes' theorem to find the conditional probability of an event, given that another event has already occurred. Let O be the event that an orange is drawn and B2 be the event that the fruit is drawn from Bag 2.

Using Bayes' theorem, we have:

P(B2|O) = P(O|B2) * P(B2) / P(O)

We need to calculate P(O|B2), P(B2), and P(O) to find P(B2|O).

P(O|B2) is the probability that an orange is drawn given that the fruit is drawn from Bag 2. This can be calculated as:

P(O|B2) = Number of oranges in Bag 2 / Total number of fruits in Bag 2

= 5 / (4 + 5)

= 5/9

P(B2) is the probability that the fruit is drawn from Bag 2, without any information about the color of the fruit. As all three bags are equally likely to be chosen, we have:

P(B2) = 1/3

P(O) is the probability that an orange is drawn, without any information about the bag it was drawn from. This can be calculated as the weighted average of the probability of drawing an orange from each bag, using the probabilities of choosing each bag. We have:

P(O) = P(O|B1) * P(B1) + P(O|B2) * P(B2) + P(O|B3) * P(B3)

= (3/8) * (1/3) + (5/9) * (1/3) + (3/5) * (1/3)

= 31/135

Substituting the calculated values into Bayes' theorem, we get:

P(B2|O) = P(O|B2) * P(B2) / P(O)

= (5/9) * (1/3) / (31/135)

= 25/93

≈ 0.269

Therefore, the probability that the chosen fruit was an orange and was drawn from Bag 2 is approximately 0.269 or 26.9%.

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The point- slope form of the line is y-5 = -0.25(x+6).

What is line?

A line is an one-dimensional figure. It has length but no width. A line can be made of a set of points which is extended in opposite directions to infinity. There are straight line, horizontal, vertical lines or may be parallel lines perpendicular lines etc.

A line with a slope of –1/4 passes through the point (–6,5)

Any line in point - slope form can be written as

y - y₁= m(x -x₁) -------(1)

where,

y= y coordinate of second point

y₁ = y coordinate of first point

m= slope of the line

x= x coordinate of second point

x₁ = x coordinate of first point

In the given problem (x₁ , y₁) = (-6,5) and m= -1/4

Putting all these values in equation (1) we get,

y-5= (-1/4) (x- (-6))

⇒ y-5 = -0.25(x+6)

Hence, the point- slope form of the line is y-5 = -0.25(x+6).

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Answer:

Total Area = 236.715 sq ft

Step-by-step explanation:

this is a composite figure made up of a circle and a rectangle; find the area of each and then add them together

A(circle) = πr²

= π(7.5²)

= 176.715

A(rectangle) = 15(4) which is 60

Total Area = 236.715 sq ft

Answer:

Both expressions equals to 32.

Step-by-step explanation:

You just plug in 5 for each expression: 12+4(5)=32, 4(5+3)=32.

Answer:

∠BAD = 100°

∠ADC = 105°

∠DCB = 50°

∠ABC = 105°

Step-by-step explanation:

∠BAD is given.

∠ADC is supplementary to the 75°, so it is 180-75 = 105°

∠DCB is 50° just like its opposite angle

The sum of all angles in a quadrilateral must be 360, so ∠ABC = 360-100-105-50 = 105.

Answer: SAS

Step-by-step explanation: by using the reflective property the line in the center it’s the missing “S”

Answer:

A ≈ 14.8 units²

Step-by-step explanation:

the area (A) of the triangle is calculated as

A = \(\frac{1}{2}\) yz sin Y ( that is 2 sides and the angle between them )

where x is the side opposite ∠ X and z the side opposite ∠ Z

here y = XZ = 4.3 and z = XY = 7 , then

A = \(\frac{1}{2}\) × 4.3 × 7 × sin79°

   = 15.05 × sin79°

   ≈ 14.8 units² ( to 1 decimal place )

Nia's original class average was 89%. After increasing it by 3%, she now has a 92% in her math class.

1. Let's assume Nia's original class average was X.

2. She increased her class average by 3%, which can be represented as X + (3/100)X.

3. According to the question, X + (3/100)X = 92.

4. Simplifying the equation, we have (103/100)X = 92.

5. To find X, we divide both sides of the equation by (103/100): X = (92 * 100) / 103.

6. Calculating the value, X ≈ 89.32.

7. Therefore, Nia's original class average was approximately 89.32%.

8. After increasing it by 3%, her new class average is 89.32% + (3/100) * 89.32% ≈ 92%.

Note: The values have been rounded for simplicity.

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Answer:

BBBBB

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

After 6.0 years, with a monthly compounding interest rate of 6% on a $9,600 deposit, Francis will have approximately $13,467.34 in his investment account.

To calculate the future value of Francis' investment, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = the future value of the investment

P = the principal amount (initial deposit)

r = the annual interest rate (6% or 0.06 in decimal form)

n = the number of times interest is compounded per year (12, since it's compounded monthly)

t = the number of years (6.0)

Plugging in the values, we get:

A = $9,600(1 + 0.06/12)^(12 * 6.0)

A = $9,600(1 + 0.005)^(72)

A ≈ $13,467.34

Therefore, after 6.0 years, Francis will have approximately $13,467.34 in his investment account. This means his initial deposit of $9,600 has grown by the compounded interest over time. It's important to note that the actual amount may vary slightly due to rounding.

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Answer:

Step-by-step explanation:

Answer:  7x²  - 14x

Steps: 7(-2x + x²)

Apply the distributive law [ a(b + c) = ab + ac ]:   7(-2x) + 7x²

Apply negative/positive rules:  -7 × 2x + 7x²

Simplify: 7x²  - 14x

Answer:

h(x)

h(x)

f(x) g(x) h(x)

Step-by-step explanation:

Edge 2020

~theLocoCoco

h(x) , h(x) , and f(x) g(x) h(x)

Answer:

A: y = -4/5x + 3/2 i believe is the correct answer

Step-by-step explanation:

Answer:

Misty is the more consistent employee

Step-by-step explanation:

The given data are

Misty: 11, 13, 12, 14, 10, 16, 14

Brock: 8, 15, 10, 11, 16, 10, 9

The mean of Misty's successfully answered questions = ∑x/n = 90/7 = 12.86

Misty's data standard deviation = √(∑(x - μ)²/n) = 1.884

The mean of Brock's successfully answered questions = ∑x/n = 79/7 = 11.29

Brock's data  standard deviation = √(∑(x - μ)²/n) = 2.81

Therefore, based on the value of the standard deviation which is a measure of variability, whereby the standard deviation of Brock's number of successfully answered questions is larger than the standard deviation of Misty's number of tech supported successfully answered questions, Misty is the more consistent employee.

Step-by-step explanation:

Continuous compounding formula :

FV = PV e^rt    FV = future value   PV = present value    

                r = decimal interest  rate     t = years

FV = 1000 e^(.045 * 10) = $ 1568.31

x=180°-(102°+43°)=180°-145°=35°

The quotient rule for logarithms states that the log of the logarithm of a quotient is the difference of the logarithms.

It should be noted that logarithm, is the exponent or power to which a base must be raised to get a given number.

We can apply the quotient rule to find the differentiation of a function.

In this case, the quotient rule for logarithms states that the log of the logarithm of a quotient is the difference of the logarithms.

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For the very first graph of the sinx function,

According to the coordinates obtained ,

The graph from the options which satisfied the sinx function are,

The graph of option A,C are satisfied the sin function .

Therefore the correct option is A , C.

Answer:

The distance is 816 km

Step-by-step explanation:

We can define average velocity as the quotient between the total distance traveled and the time it takes to travel that distance.

Here we will get the average velocity of 1,000 km/h.

----------------------------

To get the average velocity of the rocket, we need to know the distance that it travels and the time it needs to travel that distance.

We know that:

Then the average velocity is given by:

AV = (2,200 km)/(2.2 h) = 1,000 km/h.

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Answer: 347

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

all rhe domains listed