Six percent commission on first $10,000. Eight percent commission over $10,000. Find the total graduated commission on $13,200.

The monthly payment on the car is approximately $640.62. The correct option is A

The formula for the monthly payment on a continuously compounded loan can be expressed as:

P = (r * A) / (1 - (1 + r)^(-n))

Where

Plugging in the given values, we get:

P = (0.046 * 35000) / (1 - (1 + 0.046/12)^(-6*12))

P ≈ $640.62

Therefore, the monthly payment on the car is approximately $640.62.

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Step-by-step explanation:

if you made no typo, then the equation is

5x - 8 = 5x + 17

subtract 5x from both sides gives us

-8 = 17

and that is never true, no matter what value we use for x.

therefore, there are 0 solutions.

This sample has an average of −9: −15, −12, −10, −9, −9, −9, −9, −8, −5, −4.

To make up a sample of size n = 10 for which the average is −9, we can use the following formula:

Average = (Sum of all values) / (Number of values)

If we rearrange this formula to solve for the sum of all values, we get:

Sum of all values = Average × Number of values

Plugging in the values for the average and number of values, we get:

Sum of all values = (−9) × 10 = −90

Now, we can come up with any 10 numbers that add up to −90. Here is one possible sample:

−15, −12, −10, −9, −9, −9, −9, −8, −5, −4

To check our work, we can add up these 10 numbers and divide by 10 to find the average:

(−15 + −12 + −10 + −9 + −9 + −9 + −9 + −8 + −5 + −4) / 10 = −90 / 10 = −9

Note that there are many other possible samples that would also have an average of −9, as long as the sum of all 10 numbers is −90.

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The weight that separates the bottom 5% is approximately 5.02 ounces.

To find the weights that separate the top 5% and the bottom 5%, we need to use the z-score formula and the standard normal distribution table.

First, let's find the z-score for the top 5%. Using the standard normal distribution table, we find that the z-score for the top 5% is approximately 1.645.

Next, we can use the formula z = (x - μ) / σ, where z is the z-score, x is the weight we're trying to find, μ is the mean, and σ is the standard deviation.

For the top 5%, we have:

1.645 = (x - 5.12) / 0.07

Solving for x, we get:

x = 5.12 + 1.645 * 0.07

x ≈ 5.22 ounces

Therefore, the weight that separates the top 5% is approximately 5.22 ounces.

To find the weight that separates the bottom 5%, we use the same process but with a negative z-score. The z-score for the bottom 5% is approximately -1.645.

-1.645 = (x - 5.12) / 0.07

Solving for x, we get:

x = 5.12 - 1.645 * 0.07

x ≈ 5.02 ounces

Therefore, the weight that separates the bottom 5% is approximately 5.02 ounces.

These weights could serve as limits used to identify which components should be rejected. Any component with a weight less than 5.02 ounces or greater than 5.22 ounces should be rejected.

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Answer:8

Step-by-step explanation: Mode is the value or values in the data set that occurs most frequently.

Answer:25 hope this helps

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

\(\frac{42}{33}\) = \(\frac{14}{11}\) and \(\frac{28}{22}\) = \(\frac{14}{11}\)

Both reduce to \(\frac{14}{11}\) and form a proportion

Answer:

⦣ACB = 76º

Step-by-step explanation:

⦣DCB = ⦣BAD because one of the rules of a parallelogram is that opposite angles are equal

⦣BAD = 76º so ⦣ACB = 76º

Answer:

A circle is a bounded object with points from its center to its circumference is equidistant.

Area of a circle = πr²

Where :

π = pi = 3.14

R = radius = diameter / 2 = 20m / 2 = 10m

3.14 x 10² = 314m²

Number of boxes needed to cover the garden = area of the garden / coverage of one box

314m² / 58m² = 5.14

5 boxes to one significant figure

\(\text{Given that,}\\\\4(x-3) +5x -x^2\\\\\text{For x =3,}\\\\4(3-3) +5(3) -3^2 = 4(0) +15 -9 = 6\)

Answer:

x+2

=1x+2

=3x.

it's soo easy.

a. The probability of success (hitting the target) is constant for each trial (88% or 0.88).

b. The probability of hitting the 6th target is:

P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88

c. Using the binomial probability formula as before, with p = 0.88 and n = 3:

P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)

P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)

P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)

a) The three characteristics of this scenario that indicate we are working with Bernoulli trials are:

The experiment consists of a fixed number of trials (eight shots).

Each trial (shot) has two possible outcomes: hitting the target or missing the target.

The probability of success (hitting the target) is constant for each trial (88% or 0.88).

b) To find the probability of hitting the 6th target (considered as a single trial), we can use the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

where:

P(X = k) is the probability of getting exactly k successes,

C(n, k) is the binomial coefficient or number of ways to choose k successes out of n trials,

p is the probability of success in a single trial, and

n is the total number of trials.

In this case, k = 1 (hitting the target once), p = 0.88, and n = 1. Therefore, the probability of hitting the 6th target is:

P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88

c) To find the probability that the first time hitting the target is not until the 4th shot, we need to consider the complementary event. The complementary event is hitting the target before the 4th shot.

P(not hitting until the 4th shot) = P(hitting on the 4th shot or later) = 1 - P(hitting on or before the 3rd shot)

The probability of hitting on or before the 3rd shot is the sum of the probabilities of hitting on the 1st, 2nd, and 3rd shots:

P(hitting on or before the 3rd shot) = P(X ≤ 3) = P(X = 1) + P(X = 2) + P(X = 3)

Using the binomial probability formula as before, with p = 0.88 and n = 3:

P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)

P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)

P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)

Calculate these probabilities and sum them up to find P(hitting on or before the 3rd shot), and then subtract from 1 to find the desired probability.

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Answer:

1/4

Step-by-step explanation:

The slope of a graph is always the rate of change for every value of x, in this case, days. Since she is adding 1/4 of a mile to her run each day, this means that the slope of this linear relationship is 1/4.

She increases a full mile in 4 days, just a little note.

Answer:

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

Calculate it from end to start.

Before guard 3 he had:

Before guard 2 he had:

Before guard 1 he had:

This is the number of plants stolen.

Answer:

the answer is 10

Step-by-step explanation:

i got it right on edge 2020

Answer:

EF= 10

Step-by-step explanation:

Answer:

The answer is "24 elements"

Step-by-step explanation:

Please find the complete question in the attached file.

Given that:

\(\to Enrique=E\\\\ \to Katie=K \\\\\to Rihanna=R \\\\\to Bruno=B\\\\\)

The element in space are:

\(EKRB , ERKB , ERBK , EKBR , EBKR , EBRK , KERB , KEBR , KREB , KRBE ,\\\\ KBRE , KBER , RKEB , RKBE , RBKE , RBEK , REBK , REKB , BEKR , BERK ,\\\\ BREK ,BRKE , BKRE , BKER\)

Answer:

x = 7

Step-by-step explanation:

Given

y = 5x - 3 ← equate 5x - 3 to 32

5x - 3 = 32 ( add 3 to both sides )

5x = 35 ( divide both sides by 5 )

x = 7 ← input

Answer:

x=7

Step-by-step explanation:

y=5x-3

y = 32

32 = 5x- 3

Add 3 to each side

32+3 = 5x-3+3

35 = 5x

Divide by 5

35/5 = 5x/5

7 =x

Answer:

y=2x-2

Step-by-step explanation:

The slope is 2 and your y intercept is already given as -2.

Slope intercept is basically y=mx+b

plug it in so you get y=2x-2

Let's suppose the original length and width of the photo is L and W, respectively. As given, the original dimensions are 9 inches by 12 inches. L = 9 inches and W = 12 inches

The given scale factor is 3/4 and we have to find the new dimensions of the photo.So, the new length of the photo will be 3/4 of the original length and the new width will be 3/4 of the original width.New length of the photo = (3/4)LNew width of the photo = (3/4)W

Substituting the given values of L and W, we get;

New length of the photo = (3/4)(9) inches = 6.75 inches

New width of the photo = (3/4)(12) inches = 9 inches

Therefore, the new dimensions of the photo with a scale factor of 3/4 are 6.75 inches by 9 inches  

Thus, the dimensions of the photo with a scale factor of 3/4 are 6.75 inches by 9 inches.

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Answer:

-50

Step-by-step explanation:

42+=x-2x-8

42=-x-8

(add 8 to both sides)

50=-x

(divide by negative 1)

-50=x

\( \huge \boxed{\mathfrak{Question} \downarrow}\)

Solve the following using Substitution method

2x – 5y = -13

3x + 4y = 15

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

\(\left. \begin{array} { l } { 2 x - 5 y = - 13 } \\ { 3 x + 4 y = 15 } \end{array} \right.\)

\(2x-5y=-13, \: 3x+4y=15 \)

\(2x-5y=-13 \)

\(2x=5y-13 \)

\(x=\frac{1}{2}\left(5y-13\right) \\ \)

\(x=\frac{5}{2}y-\frac{13}{2} \\ \)

\(3\left(\frac{5}{2}y-\frac{13}{2}\right)+4y=15 \\ \)

\(\frac{15}{2}y-\frac{39}{2}+4y=15 \\ \)

\(\frac{23}{2}y-\frac{39}{2}=15 \\ \)

\(\frac{23}{2}y=\frac{69}{2} \\ \)

\(\large \underline{ \underline{ \sf \: y=3 }}\)

\(x=\frac{5}{2}\times 3-\frac{13}{2} \\ \)

\(x=\frac{15-13}{2} \\ \)

\( \large\underline{ \underline{ \sf \: x=1 }}\)

\( \huge\boxed{ \boxed{\bf \: x=1, \: y=3 }}\)

The arc measures x, y and z which subtends angles at the circle center are 20°, 180° and 160° respectively.

The angle subtended by an arc of a circle at it's center is twice the angle it substends anywhere on the circles circumference. Also the arc measure and the angle it subtends at the center of the circle are directly proportional.

arc x subtends the angle 20° at the center of the circle so x = 20°

arc y subtends the half of the circle angle at the center which is 180° so y = 180°

arc z subtends the angle 180° - 20° at the circle center, so z = 160°

Therefore, the arc measures x, y and z which subtends angles at the circle center are 20°, 180° and 160° respectively.

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Answer:

$594.21

Step-by-step explanation:

Because 254.58 + 333.90+ 64.42= $622.87

and 10 off of $622.87 = $560.58

and 6% sales tax to $560.58 = $594.21

If we solve  4x-3y=3, -8x +6y=-6 by substitution or elimination, we will have x=3/4 and y=0

We have the following simultaneous equations:

4x-3y=3.....................(i)

-8x+6y=-6..................(ii)

We solve using substitution:

Make x the subject of formula in equation(i):

4x=3+3y

x=(3+3y)/4

Now, replace the value of x in equation(ii)

-8x+6y=-6, and x=(3+3y)/4

-8((3+3y)/4)+6y=-6

-2(3+3y)+6y=-6

-6-6y+6y=-6

y=0

Now, we replace the value of y=0 in any equations we have to find the corresponding value of x:

4x-3y=3, but y=0

4x-3(0)=3

4x=3

x=3/4

Hence, x=3/4, y=0

The question was incomplete, the complete question is given below:

solve by using substitution or elimination by addition. 4x-3y=3 -8x+6y=-6

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Answer:

Are you sleeping?

There are 8208 different ways that the children can sit.

There are 8 children in total, so we first need to choose one of them to sit in the middle. This can be done in 8 ways.

Once the child in the middle has been chosen, the remaining 7 children can sit in a circle around them. There are (7-1)! = 6! = 720 ways to arrange 7 children in a circle. However, due to the condition that "two seatings are considered identical if the same child is in the middle in both and each child on the outside has the same child on his or her right in both seatings", we need to divide by 7 to account for the fact that there are 7 equivalent circular arrangements.

Therefore, the total number of different ways that the children can sit is:

8 x (6! / 7) = 8 x 720 / 7 = 8208

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