An automobile dealer can sell 12 cars per day at a price of $17,000. He estimates that for each $300 price reduction he can
sell two more cars per day. If each car costs him $14,000, and fixed costs are $1000, what price should he charge to
maximize his profit? [Hint: Let x = the number of $300 price reductions.]
How many cars will he sell at this price?

The margin of error is defined as follows:

M = 1.9z/sqrt(n).

In which:

The bounds of the confidence interval are given as follows:

\(\overline{x} \pm z\frac{\sigma}{\sqrt{n}}\)

In which:

The margin of error is then given as follows:

\(M = z\frac{\sigma}{\sqrt{n}}\)

The problem is incomplete, hence the general procedure to obtain the sample size was presented.

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Answer:

The top left picture and top right picture

Step-by-step explanation:

An equation that shows the relationship between the lengths of line segments AB, BC, and AC include the following: D. (5x + 20) + (6x - 10) = 120.

In Mathematics, the midpoint of a line segment with two end points can be calculated by adding each end point on a line segment together and then divide by two (2).

Since B is the midpoint of line segment AC, we can logically deduce the following:

Line segment AB = Line segment BC

Line segment AC = Line segment AB + Line segment BC

By substituting the given line segments into the equation above, we have the following:

120 = (5x + 20) + (6x - 10)

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The quotient of 550six and 50six​ is obtained by the calculation to be   11 six

We know that the result that we obtain after we have carried out a division operation is called a quotient. In this case, we have been required to carry out the operation of division in base six.

We could start by converting the both values to base 10 as follows;

(5 * 6^2) + (5 * 6^1) + (0 * 6^0) = 180 + 30 + 0 = 210 ten

(5 * 6^1) + (0 * 6^0) = 30 + 0 = 30 ten

Then we carry out the division in base ten; 210 ten/30 ten = 7 ten

We convert back to base six to obtain 11 six

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To factor the expression 4x^2 - 25, we can use the difference of squares formula, which states that a^2 - b^2 can be factored as (a + b)(a - b).

In this case, we have 4x^2 - 25, which can be written as (2x)^2 - 5^2. Comparing it with the difference of squares formula, we can identify that a = 2x and b = 5. Therefore, the correct option is:

b. (2x)^2 - (5)^2

Using the difference of squares formula, we can factor it as follows:

(2x + 5)(2x - 5)

Hence, the correct factorization of 4x^2 - 25 is (2x + 5)(2x - 5), which is equivalent to option b.

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Answer:

4900

Step-by-step explanation:

70^2 means 70*70

70*70=4900

Answer:

you will do 70 times 70 because 70^2 is 70 times 70 which is 4,900.

Answer:

9x2−x4+y(x2+9)2x(x2+9)2

Step-by-step explanation:

Answer:

The mean age of customers getting their ears pierced is 7 years old.

Step-by-step explanation:

o find the mean age of customers getting their ears pierced, we need to calculate the sum of all ages and divide it by the total number of customers:mean = (sum of ages) / (number of customers)The ages given are: 6, 2, 13, 7, 6, 11, 10, 6, 2To find the sum of these ages, we can add them up:sum of ages = 6 + 2 + 13 + 7 + 6 + 11 + 10 + 6 + 2 = 63There were 9 customers who got their ears pierced that day, so the number of customers is 9.Now we can calculate the mean age:mean = (sum of ages) / (number of customers) = 63 / 9 = 7

Step-by-step explanation:

32 - 27 = 5

a5 = a + 4d

32 = a + 4(5)

a = 32 - 20

a = 12

Thus, ur first number is 12

Answer:22?

Step-by-step explanation:

32-27= 5 (difference)

27-5= 22

The expression sin²x/(1+cosx) can be simplified to 1-cosθ

Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.

Recall that sin²x = 1 - cos²x. Thus, we have:

sin²x/(1+cosx) = (1-cos²x) / (1+cosx)

                      = (1²-cos²x) / (1+cosx)

                      = (1+cosx)(1-cosx) / (1+cosx)

                      = 1-cosx

                      = 1-cosθ        (If x = θ)

Note: Using difference of two squares, 1²-cos²x = (1+cosx)(1-cosx)

Therefore, the expression sin²x/(1+cosx) can be simplified to 1-cosθ

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Answer: Half the students weighed less than 7 pounds, 5 ounces, and half the students weighed more.

Step-by-step explanation:

Answer:

Huh

Step-by-step explanation:

Answer:

The numbers are 8 and 5!

Step-by-step explanation:

8+5=13

8-5=3

Answer:0.143

Step-by-step explanation:

Answer: The store paid $84 to purchase the skateboard

Step-by-step explanation:

If the selling price of the skateboard is $147 and the markup is 75%, we can find the cost of the skateboard by working backwards from the selling price.

Let's start by calculating the original cost of the skateboard before the markup was applied. We can do this by dividing the selling price by 1 plus the markup percentage as a decimal:

original cost = selling price / (1 + markup percentage)

Converting the markup percentage to a decimal:

markup percentage = 75% = 0.75

original cost = 147 / (1 + 0.75)

original cost = 147 / 1.75

original cost = 84

The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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Answer:

In which direction must the graph of f(x) = |x| be shifted to produce the graph of g(x) = |x − 3|?

A. left

B. down

C. up

✓D. right

Right is the right answer.

Answer:

Down

Step-by-step explanation:

I took the test and got it right

Answer:

The height is 1.25m.

Step-by-step explanation:

Volume = 1/3 πr²h

Given:

V = 13.4 m³

r = 3.2 m

Asked: height (h)

Substitute the formula with the given values then solve

13.4m³ = 1/3π(3.2m)²h

13.4(3) = 10.24πh

40.2 = 10.24πh

h = 40.2/10.24π

h = 1.25m

The height of the cone is 1.25 meters.

We know that the volume of the cone is given by

V = (1 / 3) * π * r ^2 * h................equation 1

where,

V is the volume of the cone.

r is the radius of the cone's base

h is the height

The volume and radius of the cone are given,

V = 13.4 m

r = 3.2m

substituting these values in equation 1 we get,

13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h

on simplifying further

13.4 = 10.717  * h

h = 1.25m

The height of the cone is 1.25 meters.

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Answer:

One leg: 3

So, the hypo: 2*3 = 6

And the third is according to the formula for right angle triangles: a^2 + b^ = c^2

So: √9+36= c

6.7 to get an exact number round it: 7

Answer:

sides are √3 ft,2√3 ft,3 ft

Step-by-step explanation:

let one leg=x

length of hypotenuse=2x

third side=3 ft

(2x)²=x²+3²

4x²-x²=9

3x²=9

x²=9/3=3

x=√3 ft

hypotenuse=2√3 ft

Answer:

Step-by-step explanation:

(3, 1) (6, -1)

(-1 -1)/(6-3) = -2/3

y - 1 = -2/3(x - 3)

y - 1 = -2/3x + 2

y = -2/3x + 3

Answer:

Step-by-step explanation:

Remainder of cups of flour is:

25 cups of flour used to bake 150 cupcakes.

Each cupcake has:

Answer: 315 miles

Step-by-step explanation:

let onward speed = x mph, then distance = 7x

return speed = (x+18) mph, (same) distance = 5(x+18)

equating the two,

7x = 5(x+18)

2x = 90 ==> x = 45 mph

so distance = 7*45 = 315 miles

Mr. Lloyd could use his credit card to buy the TV. Therefore, option  A is the correct answer.

Using a credit card to make a purchase requires that the buyer have a credit limit that is large enough to cover the amount of the purchase. Mr. Lloyd does not have enough money in his bank account to pay for the television, so he would not be able to use a credit card to make the purchase.

Options B, C, and D are all viable options for Mr. Lloyd. He could save up money and pay cash for the television at a later date, or he could use his debit card to make the purchase when he has enough money in his bank account. He could also save money and use his debit card at a later date when he has enough money in his bank account.

Therefore, option  A is the correct answer.

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Mr. Lloyd wants to buy a new television, but he does not have enough money in his bank account to pay for one. Which of these is NOT an option for Mr. Lloyd?

A) He can use his credit card to buy the television now.

B) He can save money and pay cash for the television at a later date.

C) He can use his debit card to buy the television now.

D) He can save money and use his debit card to buy the television at a later date.

Answer:

x^2 + 2

Step-by-step explanation:

The value of (2x2 + 4) ÷ 2 =

(2x2 + 4)/2 =

(2(x2 + 2))/2 =

x^2 + 2

Answer:

1/14

Step-by-step explanation:

all together the probability would be 1/21 because we're adding all the color eyes together. After that, it narrows to only blue and hazel which is 14 so the new probability is 1/14, so the answer is 1/14.

The z-score of 235.90, if a normal distribution of scores has a standard deviation of 182.56 and a mean of 265.95, is -0.165.

The mean of the set of data is equal to the sum of all the quantities in the data, and divide by the no of quantities.

Given:

The standard deviation, d = 182.56,

The mean, m = 265.95,

The observation value, X = 235.90

Calculate the z score by the following formula given below,

Z = (X - m) / d,

Here, Z is the Z score,

Z = 235.90 -  265.95 / 182.56

Z =  -0.165

Therefore, the z-score of 235.90, if a normal distribution of scores has a standard deviation of 182.56 and a mean of 265.95, is -0.165.

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