Mason sells life insurance policies. He earns a 12 percent commission on every policy he sells. He made the following sales this week: Monday $425.00, Tuesday $694.25, Wednesday $296.14, Thursday $501.85, and Friday $358.76. What is his commission for the week?

The equations of the composite functions are (h o h)(x) = (x² + 3)² + 3 and (f o f)(x) = x

From the question, we have the following equations that can be used in our computation:

h(x) = x² + 3

f(x) = 3/4x

From the above, we have

(h o h)(x) = h(h(x))

So, we have

(h o h)(x) = (x² + 3)² + 3

Also, we have

(f o f)(x) = 3/[4(3/4x)]

Evaluate

(f o f)(x) = x

Hence, the composite functions are (h o h)(x) = (x² + 3)² + 3 and (f o f)(x) = x

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Answer:

Step-by-step explanation:

1. commission

2. percent

3. repeating decimal

4. terminating decimal

5. tip

Answer: Standard pet microchips are typically 11–13 mm long (approximately 1⁄2 inch) and 2 mm in diameter.

Step-by-step explanation: I hope this helps.

Answer:

16x5/4

Step-by-step explanation:

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator.

Answer:

  (-∞, -3] or [-3, ∞)

Step-by-step explanation:

You want the largest domain interval(s) on which the function shown in the graph could be one-to-one.

A one-to-one function must pass the horizontal line test. That is, no horizontal line can intersect its graph in more than one place.

For that to be true of the given function, the interval on which it is defined cannot include values on both sides of x=-3, where the graph has a minimum. That is, the domain must be either x ≤ -3, or x ≥ -3, (or some subset of either of these).

The largest intervals on which the function has an inverse are ...

  (-∞, -3]  or  [-3, ∞)

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To make the given function one-to-one and have an inverse, we can restrict its domain to (-∞, a) or (a, ∞), where 'a' is the x-coordinate of the highest or lowest point on the graph.

To make the given function one-to-one and have an inverse, we need to restrict its domain. The largest domains, in interval notation, that can be used are: (-∞, a) or (a, ∞) where 'a' is the x-coordinate of the highest or the lowest point on the graph, depending on the function type.

If the graph has a highest point, the domain is restricted to (a, ∞), where 'a' is the x-coordinate of the highest point. If the graph has a lowest point, the domain is restricted to (-∞, a), where 'a' is the x-coordinate of the lowest point.

For example, if the graph has a highest point at (3, 5), the domain would be restricted to (3, ∞) to make the function one-to-one and have an inverse.

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Answer:

-7/4x-68

Step-by-step explanation:

Answer:

(a) Let the probability drivers are drunk = P(D) = 0.08

The probability that drivers in the area never drink and drive, but are simply bad drivers = P(B) = 0.32

The probability that drivers in the area never drink and drive, and are good drivers = P(G) = 0.60

Let S = event that the police stops the driver.

(b) The probability that a randomly selected driver will be stopped at the checkpoint is 0.2016.

(c) The probability that a driver who is stopped at the checkpoint is drunk is 0.337.

Step-by-step explanation:

We are given that 8% of drivers on New Years' Eve have a blood-alcohol level that is above the legal limit. It is also known that 32% of drivers in the area never drink and drive, but are simply bad drivers. The remaining 60% of drivers never drink and drive and are good drivers.

At this particular checkpoint, the police stop 85% of the drunk drivers, stop 38% of the bad drivers, and stop 2% of the good drivers.

(a) Let the probability drivers are drunk = P(D) = 0.08

The probability that drivers in the area never drink and drive, but are simply bad drivers = P(B) = 0.32

The probability that drivers in the area never drink and drive, and are good drivers = P(G) = 0.60

Let S = event that the police stops the driver

These are the four events stated in the question.

(b) So, the probability that the police stop the drunk drivers = P(S/D) = 0.85

The probability that the police stop the bad drivers = P(S/B) = 0.38

The probability that the police stop the good drivers = P(S/G) = 0.02

Now, the probability that a randomly selected driver will be stopped at the checkpoint is given by = P(S)

    P(S) = P(D) \(\times\) P(S/D) + P(B) \(\times\) P(S/B) + P(G) \(\times\) P(S/G)

             = (0.08 \(\times\) 0.85) + (0.32 \(\times\) 0.38) + (0.60 \(\times\) 0.02)

             = 0.068 + 0.1216 + 0.012  

            = 0.2016

Hence, the probability that a randomly selected driver will be stopped at the checkpoint is 0.2016.

(c) Now, the probability that a driver who is stopped at the checkpoint is drunk is given by = P(D/S)

       P(S/W) =  \(\frac{P(D) \times P(S/D)}{P(D) \times P(S/D)+P(B) \times P(S/B)+P(G) \times P(S/G)}\)

                    =  \(\frac{0.08\times 0.85}{0.08\times 0.85+0.32\times 0.38+0.60\times 0.02}\)

                    = \(\frac{0.068}{0.2016}\) = 0.337

Hence, the probability that a driver who is stopped at the checkpoint is drunk is 0.337.

The number of ways to make a change of 70 cents using only nickel, dime and quarters is given as follows:

15 ways.

The value of each coin is given as follows:

Hence the ways to make the change are given as follows:

Which combine to 15 ways.

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Answer:

-6/5x + 3/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Move all terms that don't contain  y  to the right side and solve.y

y= − 3+ 6 x

     5   5

For problem 2, you are correct in stating that a curve forms. Specifically, if we were to trace along the outer edge of the shape, then we'd form a parabola that has been tilted 45 degrees compared to the more familiar form that students are taught (where the axis of symmetry is vertical).

For more information, search out "Tangent method for parabolas". As the name implies, the tangent method draws out the tangents of the parabola which helps form the parabola itself.

Everything else on your paper is correct. You have problem 1 correct, and the table is filled out perfectly. Nice work.

The slope field for the differential equation would be D . Graph D .

A slope field provides a pictorial representation of differential equations that displays the magnitude and direction of the derivative or slope for solution curves at various points in the plane .

The length of line segments represents the magnitude, while the direction indicates the sign of the slope.

The equation given is y = 2 y + x which means that the slope is positive. This is why we can tell that Graph D has the correct slope field as it goes up for positive.

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The ship started at the Position 0.14 units.

To determine the starting position of the ship, we can consider the distance sailed to the left and the distance to the treasure.

Given that you sailed 0.055 units to the left and found the treasure at 0.085 units, we can represent this situation mathematically as follows:

Starting position + Distance sailed to the left = Distance to the treasure

Let's assign a variable, "x," to represent the starting position of the ship.

The equation becomes:

x - 0.055 = 0.085

To find the value of x, we can solve this equation by isolating x on one side:

x = 0.085 + 0.055

x = 0.14

Therefore, the ship started at the position 0.14 units.

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Yes, quadrilaterals ABCD and EFGH are similar because a translation of (x + 1, y + 3) and a dilation by the scale factor of 3 from point D′ map quadrilateral ABCD onto EFGH.

The properties of quadrilaterals are;

From the information given, we can see that;

ABCD and EFGH are similar because a translation of (x + 1, y + 3) and a dilation by the scale factor of 3

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Answer:

2

Step-by-step explanation:

Term life insurance has the lower premium because term life insurance pays the face value to your beneficiary if you die within a certain set period of time, whereas whole life insurance covers you your entire life. (Option A)

Insurance is when a third-party (the insurer) promises to indemnify another party (the insured) for losses they might suffer in the future in exchange for agreed upon payments.

Permanent life insurance is a type of insurance that provides a coverage that never expires. The person with a permanent life insurance is covered until he or she passes on. Whole life insurance is a type of permanent life insurance that has a fixed and guaranteed premium and a fixed death benefit.

Term life insurance is a type of insurance that provides coverage to a person only for a scheduled period of time. For example, a person who buys a 10 year term life insurance, the person's insurance only lasts for 10 years. If the person passes on within the 10 years, his beneficiary receives payments. If the person passes on after 10 years, his beneficiary does not receive any payments.

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Answer:

Step-by-step explanation:

This is what the graph would look like with the y intercept and the slope (p.s. I used Desmos Graphing calculator)

Answer:

Yup

Step-by-step explanation:

91 - 22 = 69

Answer:

An acute angle

Is there any answer choices??

Arithmetic operations provide meaningful results for variables that c. are quantitative.

For all real numbers, the four fundamental arithmetic operations in mathematics are: Finding the sum in addition ('+') Subtraction (Difference-finding; "-" Multiplication (Identifying the result; "" Finding the quotient in division (")

The commutative laws of addition and multiplication, such as a + b = b + a and ab = ba, the associative laws of addition and multiplication, such as a + (b + c) = (a + b) + c and a(bc) = (ab)c, as well as the distributive law, which links addition and...

Therefore, option C is correct.

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Answer:

Im pretty sure its A

Step-by-step explanation:

The number of people who like Coke is 30

Since the Venn diagram visually represents the differences and the similarities between two concepts.

Given that group of 74 people, if the ratio of children who like Coke only and Pepsi only is 3:2

Also , the number of people, who like both drinks is 17 and who do not like both is 7

Total number of children who like Coke only and Pepsi only are 5x

5x = 74 - 17 - 7

5x = 50

x = 10

Thus, the number of people who like Coke  is 3x means

3 (10) = 30

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Answer:

A

Step-by-step explanation:

9514 1404 393

Answer:

  y = 8

Step-by-step explanation:

You will get the same value for y whether you approach the problem by making corresponding angles equal, or by making corresponding sides equal. The equation for the sides takes less work to solve.

  2y -3 = y +5

  y = 8 . . . . . . . . add 3-y to both sides

_____

Check

This value of y makes the angles ...

  (6y -5)° = (6·8 -5)° = 43°

  (4y +11)° = (4·8 +11)° = 43°

Corresponding angles and the side between them have the same measures, so the triangles are congruent by ASA.

Answer:

what grade are you in that requieres this type of math

Step-by-step explanation:

No, the inference is not valid because it excluded those who were not online and so did not see the poll.

To improve the poll, the news show could have conducted it in a more representative manner by surveying a larger sample of people from a variety of backgrounds

The poll's results may have been influenced by various factors, including but not limited to the order in which the comedians were presented, the demographics of the respondents, and the fact that it was conducted online, possibly excluding those without internet access. Overall, the poll's representative accuracy is questionable.

To enhance the accuracy of the survey, the broadcast could have implemented a more inclusive method by polling a wider range of individuals from diverse backgrounds. An alternate method for conducting the poll would have been by personal or telephonic means, enabling individuals without internet connectivity to participate.

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Answer:

(a) 0
(b) 0
(c) 1
The function is not continous at x = 9

Step-by-step explanation:

To the left and right of the point x = 9, the graph would seem to continue at  f(x) = 0, however on the exact point x = 9 there is a hole in the graph allowing it to be equal to 1. Due to the hole in the graph, it is not continuous

Apologies if this is wrong its been a bit since I did calculus