Assume that the probability of a driver getting into an accident is 7.1%, the average cost of an accident is $14,886.0 , and the overhead cost for an insurance company per insured driver is $110 . What should the driver's insurance premium be?

The finance charge for the month of August is $4.93.

A ratio or value that may be stated as a fraction of 100 is called a percentage. Moreover, it is indicated by the symbol "%."

Given:

The starting balance from the previous month is $270.

The transactions on the account for the month are given in the table to the right.

Assume an annual interest rate of 19% on the account and that the billing date is August 1st.

After finding the balance outstanding each day, we sum it up.

And get the average as $305.4839

Now we find the average balance by dividing it by 31 days of the August month.

Average balance = $305.4839

Finance charge = $305.4839  x19 x 31/365 days

Finance charge = $4.929589

Finance charge = $4.93

Therefore, the Finance charge = $4.93.

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Answer:

17

Step-by-step explanation:

Answer:17

Step-by-step explanation:

24-7=17

Answer:

4.42 ounces

Step-by-step explanation:

Given:

The solid food Stacie has eaten in the noon meal:

1. \(\frac{1}2\) of a 3-ounce serving of meatloaf.

2. \(\frac{3}4\) of her 3-ounce serving of mashed potatoes

3. \(\frac{1}3\) of a 2-ounce serving of green beans

To find:

How many ounces of solid food was consumed by Stacie (upto 2 decimal places) ?

Solution:

Let us convert the given fractions to decimal form upto 2 decimal places:

1. \(\frac{1}{2}\ of\ 3\ ounces\) \(= \frac{1}{2}\times 3 =1.50\ ounces\) meatloaf .

2. \(\frac{3}{4}\ of\ 3\ ounces\) \(= \frac{3}{4}\times 3 =2.25\ ounces\) mashed potatoes .

3. \(\frac{1}{3}\ of\ 2\ ounces\) \(= \frac{1}{3}\times 2 =0.67\ ounces\) green beans.

Let us add the above 3 quantities to get total solid food consumed.

Total solid food consumed = 1.50 + 2.25 +0.67 = 4.42 ounces.

So, the answer is 4.42 ounces.

Answer:

Step-by-step explanation:

We assume that "p" and "q" are given in dollars, so that the profit function (in thousands of dollars) can be written:

  P = xp +yq -C(x, y)

Profit will be maximized when the partial derivatives of P with respect to x and y are both zero:

  ∂P/∂x = p +x(∂p/∂x) +y(∂q/∂x) -∂C/∂x = 0

  (120 -3x +y) +x(-3) +y(1) -80 = 0

  -6x +2y +40 = 0

  3x -y = 20 . . . . put in standard form

and ...

  ∂P/∂y = x(∂p/∂y) +q +y(∂q/∂y) -∂C/∂y = 0

  x(1) +(210 +x -7y) +y(-7) -(130) = 0

  2x -14y +80 = 0

  x -7y = -40 . . . . put in standard form

__

The solution to these simultaneous equations can be found a variety of ways. Using Cramer's Rule, we have ...

  x = ((-1)(-40) -(-7)(20))/(-1·1-(-7)(3)) = 180/20 = 9

  y = (20(1) -(-40)(3))/20 = 140/20 = 7

9000 type A and 7000 type B earphones should be produced.

__

The corresponding selling prices are ...

  p = 120 -3(9) +7 = 100

  q = 210 +9 -7(7) = 170

The selling prices should be ...

  p = $100, q = $170

__

The maximum profit is ...

  P = xp +yq -C(x, y) = (9)(100) +(7)(170) -(110 +80(9) +130(7))

  P = 9(100 -180) +7(170 -130) -110 = 180 +280 -110

  P = 350

The maximum profit is $350,000.

Answer:

A

Step-by-step explanation:

edge 2021

The value of which of the mean will not be known for certain but can be inferred is called; Mu(μ)

When dealing with statistics, we have sample mean and population mean.

Sample mean is defined as the arithmetic mean of a random sample values drawn from the population. Meanwhile, Population mean is a mean that represents the actual mean of the whole population.

Sample mean is denoted as x-overbar while population mean is represented as μ.

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Answer:

7.5

Step-by-step explanation:

you need to get the X alone so you multiply both sides by -0.5.

that leaves you with x=7.5

Step-by-step explanation:

to find the sum of nth term

equation is

n/2 ( 2a + (n-1)d) where a is the 1st term and d is the common difference

5/2 ( 120 +( 4 × 31))

5/2 ( 120 + 124)

5/2 × 244

5 × 122 dividing 244 by 2

610

Answer: 610

Step-by-step explanation:

This sequence starts at 60 and increases by increments of 31.  Thus, to get the last two numbers, do 122+31=153, and 153+31=184.  Then add 60+91+122+153+184 to get 610.

Hope it helps <3

The expression 7 In(c) - 6 In(z) can be simplified and written as a single logarithm, which is In\((c^7/z^6)\).

The expression 7 In(c) - 6 In(z) can be simplified using the properties of logarithms. Specifically, we can use the power rule to bring the exponent of c outside of the logarithm and use the quotient rule to combine the two logarithms into a single logarithm.

The power rule of logarithms states that In(\(c^7\)) = 7 In(c), and the quotient rule of logarithms states that In(c/z) = In(c) - In(z).

Therefore, we can rewrite 7 In(c) - 6 In(z) as follows:

7 In(c) - 6 In(z) = In(\(c^7\)) - In(\(z^6\)) [using the power rule]

= In(\(c^7/z^6\)) [using the quotient rule]

Thus, the expression 7 In(c) - 6 In(z) can be simplified and written as a single logarithm, which is In\((c^7/z^6)\).

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Answer:

4.2 kilometers

Step-by-step explanation:

3/5 simplified =.6 each day .6 x7 days =4.2 kilometers

No, Savannah is incorrect. Doubling the length, width, and height of a right rectangular prism will not double its surface area.

Surface area is the total area of an object's exposed faces, including any external surface area. It is a measure of the size of a surface and is usually expressed in square units such as square meters or square centimeters. Surface area is a two-dimensional measurement, since it only takes into account the area of a surface, and not its thickness or volume.

The surface area of a right rectangular prism is calculated by multiplying the length by the width and then multiplying that number by two and adding the two products together.

For example, the surface area of a right rectangular prism with a length of 15 cm, a width of 10 cm, and a height of 5 cm is calculated as follows:

Surface area = (15 cm * 10 cm) + (15 cm * 5 cm) = 150 cm2 + 75 cm2 = 225 cm2

Doubling the length, width, and height of this right rectangular prism would give us a prism with a length of 30 cm, a width of 20 cm, and a height of 10 cm. The surface area of this new prism would be calculated as follows:

Surface area = (30 cm * 20 cm) + (30 cm * 10 cm) = 600 cm2 + 300 cm2 = 900 cm2

As you can see, doubling the length, width, and height of the right rectangular prism does not double its surface area - the surface area has increased by four times (900 cm2/225 cm2 = 4).

In conclusion, doubling the length, width, and height of a right rectangular prism does not double its surface area; rather, it increases the surface area by a factor of four.

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No, Savannah is incorrect. Doubling the length, width, and height of a right rectangular prism will not double its surface area.

Surface area is the total area of an object's exposed faces, including any external surface area. It is a measure of the size of a surface and is usually expressed in square units such as square meters or square centimeters. Surface area is a two-dimensional measurement, since it only takes into account the area of a surface, and not its thickness or volume.

The surface area of a right rectangular prism is calculated by multiplying the length by the width and then multiplying that number by two and adding the two products together.

For example, the surface area of a right rectangular prism with a length of 15 cm, a width of 10 cm, and a height of 5 cm is calculated as follows:

Surface area = (15 cm * 10 cm) + (15 cm * 5 cm) = 150 cm2 + 75 cm2 = 225 cm2

Doubling the length, width, and height of this right rectangular prism would give us a prism with a length of 30 cm, a width of 20 cm, and a height of 10 cm. The surface area of this new prism would be calculated as follows:

Surface area = (30 cm * 20 cm) + (30 cm * 10 cm) = 600 cm2 + 300 cm2 = 900 cm2

As you can see, doubling the length, width, and height of the right rectangular prism does not double its surface area - the surface area has increased by four times (900 cm2/225 cm2 = 4).

In conclusion, doubling the length, width, and height of a right rectangular prism does not double its surface area; rather, it increases the surface area by a factor of four.

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To translate the proportion we can use the rule of three:

Now we divide the number on the left by the number of the right and equate the ratios, Then:

Therefore the answer is A.

Answer:

it would be within the range of $0.77 <x< $0.78

(A) 10/50

(B) 1/5

(C) 0.2

(D) 1 2/3

(E) log(13)

A triangle JKL has vertices at J(−1, −5), K(−2, −2), and L(2, −4) and J′ at (−3, −5). The translation direction is 2 units to the left. The number of units of the image of triangle JKL is 2 units to the left only.

Given that a triangle JKL has vertices at J(−1, −5), K(−2, −2), and L(2, −4) and J′ at (−3, −5). We have to determine the translation direction and the number of units of the image of triangle JKL. Let's first find the translation direction to determine the image of triangle JKL.

Seeing the position of J and J', we can determine that the translation was made in the left direction because J has moved from the point (-1,-5) to (-3,-5). Thus, the translation direction is 2 units to the left. Now, let's calculate the number of units of the image of triangle JKL.

Let's draw a rough sketch of the triangle JKL and locate its vertices J(-1,-5), K(-2,-2), and L(2,-4).To find the number of units of the image of triangle JKL, we need to find the horizontal and vertical distances between the vertices of the original triangle and its image.

We can use the horizontal distance between J and J′ as a reference to calculate the remaining distances. J has moved 2 units to the left, so the horizontal distance between J and J′ is 2. Now, let's calculate the vertical distance between J and J′. The coordinates of J and J′ are (-1,-5) and (-3,-5), respectively.

The difference between the y-coordinates of J and J′ is 0, which means that J and J′ are on the same horizontal line. Therefore, the vertical distance between J and J′ is 0. Hence, the image of the triangle JKL has moved 2 units to the left and 0 units vertically. Thus, the number of units of the image of triangle JKL is 2 units to the left only.

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Answer:

Rewriting p(x) as a product of linear factors: \(\mathbf{f(x)=(x+3)(x-2)(x+6)}\)

Step-by-step explanation:

The polynomial \(p(x) = x^3 + 7x^2 - 36\) has a known factor of \((x + 3)\)

We need to find other factors.

First we find quotient of  \(p(x) = x^3 + 7x^2 - 36\) divided by \((x + 3)\)

The division is shown in image attached.

The quotient is: \(x^2+4x-12\)

Now, factoring the quotient \(x^2+4x-12\)

\(x^2+4x-12\\=x^2+6x-2x-12\\=x(x+6)-2(x+6)\\=(x-2)(x+6)\)

The other two factors are (x-2)(x+6)

So, Rewriting p(x) as a product of linear factors: \(f(x)=(x+3)(x-2)(x+6)\)

Answer:

Step-by-step explanation:

If Robert is 7 1/2 months old you need to multiply 7 1/2 by 12 because there are 12 months in a year.  

7x12=84  

1/2x12=6

6+84=90

Answer: 1, 2, 3, 4, 5, 6, 8, 10

Step-by-step explanation:

120 ÷ 1 = 120

120 ÷ 2 = 60

120 ÷ 3 = 40

120 ÷ 4 = 30

120 ÷ 5 = 24

120 ÷ 6 = 20

120 ÷ 8 = 15

120 ÷ 10 = 12

The rule for the linear function is f(x) = (-1/2)x + 11/2

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

To write the rule for the linear function, we can start by finding the slope of the line passing through the given points (x, y):

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope= (6 - 2) / (-1 - 7)

Slope= 4 / (-8)

Slope= -1/2

Therefore, the slope of the line passing through these points is -1/2.

Now, we can use the point-slope form of a linear equation to find the equation that represents this relationship:

y - y₁= m(x - x₁)

Where m is the slope and (x1, y1) is any point on the line. Let's use the point (7, 2):

y - 2 = (-1/2)(x - 7)

y - 2 = (-1/2)x + 7/2

y = (-1/2)x + 11/2

Therefore, the rule for the linear function is f(x) = (-1/2)x + 11/2

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Answer:

Costs are changing at the rate of $588 per month at this production level.

Step-by-step explanation:

From the question, we have:

C = 0.3X^2 + 8,000 ........................ (1)

Differentiating equation (1) with respect to time, t, we have:

dC/dt = (0.3 * 2) X (dX/dt)....................... (2)

Where;

X = 70

dX/dt = 14

Substituting this into equation (2), we have:

dC/dt = (0.3 * 2) * 70 * 14

dC/dt = 588

This implies that costs are changing at the rate of $588 per month at this production level.

Given those four functions,

A. A(t)=$30000 (1+ 5.25/ 100) t

B. A(t)= $30000 (1+5.875/100)t

C. A(t)= $30000 (1+5.75/200)2t

D. A(t)=$30000 (1+5.5/400)4t

This is what the graph woulf look like.

The red line indicates the fuction A(t)=$30000 (1+ 5.25/ 100) t.

Blue represents A(t)= $30000 (1+5.875/100)t.

Green is A(t)= $30000 (1+5.75/200)2t.

And purple graph represents A(t)=$30000 (1+5.5/400)4t.

Check the picture below.

\(\sin( \theta )=\cfrac{\stackrel{opposite}{0.5}}{\underset{hypotenuse}{0.64}} \implies \sin^{-1}(~~\sin( \theta )~~) =\sin^{-1}\left( \cfrac{0.5}{0.64} \right) \\\\\\ \theta =\sin^{-1}\left( \cfrac{0.5}{0.64} \right)\implies \theta \approx 51.4^o\)

Make sure your calculator is in Degree mode.

The option that is not a part of a formal proof is E.  none of these

A formal proof or derivation can be described as a finite sequence of sentences, having an axiom, an assumption, or leads the way from the preceding sentences in the sequence by a rule of inference.

It demonstrates the logical necessity of a given conclusion.

The different parts of a formal proof includes;

Hence, the correct option is E

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use slope equation -5 - (-3)/(2-1) then solve

Answer: 16 pounds of grain.

Step-by-step explanation: 36 divided by 9 is 4, which means we have to multiply bin C by how much bin J was multiplied by, which is 4, so 4x4 is 16.

(let me know if you would like me to explain more on this)

Answer:

87

Step-by-step explanation:

181-7=174

174/2=87

To solve this problem we need to use the conditions to write an equation, so Q will be the number of quarters and D will be the number of dimes so the first condition is:

the sum of quartes (0.25) plus dimes (0.10) are $1.15

the second condition is; she has one more dimes than quarters so:

So we can replace the secon equation into the first equation so:

Now we can simplify the equation so:

And finally we solve for Q so:

Now we can replace the value of Q in the second equation so:

So Francesca have 3 quarters and 4 dimes

Answer:

The third one.

Step-by-step explanation:

The first graph says each square is 10 lunches, but there are only 3 squares for the deli sandwich. That's 30 deli sandwiches in total but there were 300 in the table so the first one is wrong. In the second one, it says that 2 types of lunches were sold up to 300 times, but in the table, only 1 was. The last graph says that there were 300 pizzas sold, but the table said there were 650, so that one is wrong.

Process of elimination leaves you with the third graph as the correct answer.

Answer:

-2<=y<=-7

Step-by-step explanation: