if a watch costs $40 and you must pay 6.5% sales tax how much will the tax be ?

Answer:

\(f'(x)= \frac{13}{(2x+3)^2}\\\)

Step-by-step explanation:

\(f(x)= \frac{3x-2}{2x+3} \\\)

\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)

\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)

Answer:

(c) (x+3)(x+4)=5

Step-by-step explanation:

It's in factored form, and you would use the method of finding the perfect square to get the equation set to zero and find the solutions.

The required six algebraic equations to relate the given different pairs of angles are in the solution part.

The supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.

Given: AD, BE and FC intersect at point P.

AD⊥FC.

According to the given figure, the required equations would be as:

m∠APB = m∠EPD  (vertical angles)

m∠FPD = m∠APC  (right angles are congruent)

m∠EPC + m∠EPF = 180 degrees (linear pair)

m∠BPC = m∠EPD (vertical angles)

m∠APB + m∠BPC = 90 degrees (complementary angles)

m∠FPB + m∠BPC = 180 degrees (linear pair)

Learn more about supplementary angles here:

brainly.com/question/3027144

#SPJ1

Answer:

The slope would also be 2/7.

Step-by-step explanation:

The two lines are parallel, meaning that they follow the same slope. If line / has a slope of 2/7, then line M must have the same slope as well. I hope this helps! :)

True. The is subset() method is used to check if all elements of set1 are present in set2, which means set1 is a subset of set2 if the is subset() method returns true.

True. The "is subset()" method can be used to determine whether set1 is a subset of set2. If all elements of set 1 are present in set 2, then set 1 is considered a subset of set 2. The method returns `True` if set1 is a subset of set2 and `False` otherwise.
In mathematics, if all the elements of A are also elements of B, then the set A is one of the set B; then B is a superset of A. A and B may be equal; if they are not, A is a necessary condition of B. A relationship in which one group is one of the other is called existence (or sometimes existence). A is part of B, it can also indicate that B contains (or contains) A, or that A contains (or contains) B. A k-subset is a subset with k elements.

A linked subset defines the partial order of a set. In fact, intersection and union give intersection and intersection, with subsets of the given set being Boolean algebra in the relationship, and the link itself is a Boolean coverage relationship.
Example usage:
```python
set1 = {1, 2, 3}
set2 = {1, 2, 3, 4, 5}

result = set1.issubset(set2)
print(result) # Output: True
```

Learn more about subset:

brainly.com/question/24138395

#SPJ11

Answer:

346

Step-by-step explanation:

345.813 is rounded to 346

Answer:

346

Step-by-step explanation:

the 8 rounds it up to 6

If Arianna decides to sell the rental property in the future, the gain or loss will be calculated based on the $270,405 gain basis.

The gain basis for Arianna's converted personal residence to rental property can be calculated by determining the lower value between the adjusted basis and the fair market value.

In this case, the adjusted basis is $300,450 and the fair market value is $270,405.

The gain basis is the lower of the two values, which in this case is $270,405. This means that the gain basis for Arianna's rental property is $270,405.

The gain basis is important for tax purposes as it is used to calculate the taxable gain or loss when the property is eventually sold.

If the property is sold for a higher price than the gain basis, there will be a taxable gain.

On the other hand, if the property is sold for a lower price than the gain basis, there will be a deductible loss.

In Arianna's case, if she decides to sell the rental property in the future, the gain or loss will be calculated based on the $270,405 gain basis.

It is important to note that there may be additional factors and adjustments that could affect the final tax calculations, such as depreciation deductions and any improvements made to the property.

Consulting a tax professional would provide more accurate and detailed information regarding the tax implications of selling the rental property.

Learn more about tax here:

https://brainly.com/question/12239687

#SPJ11

Answer:

B. \(9(\frac{4}{5} * \frac{1}{3})\)

Step-by-step explanation:

In mathematics, the associative property is a property of some binary operations, which means that rearranging the parentheses in an expression will not change the result. In propositional logic, associativity is a valid rule of replacement for expressions in logical proofs.

As the associate property is switching the numbers in the parentheses, B is the answer as it switched the \(\frac{1}{3} and \frac{4}{5}\) while keeping the equation the same, and not editing any information that would change the outcome (answer) of the problem.

The measure of angle PQR is given as follows:

To obtain the measure of angle PQR, first we verify if the triangle PQR is a right triangle or not.

To verify if the triangle is a right triangle we apply the Pythagorean Theorem, which states that the length of the hypotenuse squared is equals to the sum of the lengths of each side squared, in the case of a right triangle.

Hence, for this problem, considering the side lengths, we have that:

10² = 6² + 8²

100 = 36 + 64

100 = 100.

Which is true, hence this is in fact a right triangle and the measure of angle PQR is of 90º.

The problem asks for the measure of angle PQR.

More can be learned about the Pythagorean Theroem at https://brainly.com/question/30203256

#SPJ1

Answer:

the final answer g = √7w/7

Answer:

b

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

I am not so sure tho it's either b or d

This estimation is speculative and may not accurately reflect the actual probability in the given context.

To determine the probability that a person is using a 3-month new member discount given that they have been a member for more than a year, we would need additional information such as the total number of members, the number of members using the discount, and the distribution of membership lengths.

Without this information, it is not possible to calculate the probability directly. However, we can make some assumptions to provide a general idea.

Assuming that the new member discount is only available to new members for the first three months of their membership and that the number of members who have been a member for more than a year is significant, we can estimate that the probability of a person using the 3-month new member discount in this scenario is likely to be low.

This assumption is based on the understanding that the longer a person has been a member, the less likely they are to still be eligible for or make use of a new member discount.

It's important to note that without specific data or a more detailed understanding of the membership characteristics and behavior, this estimation is speculative and may not accurately reflect the actual probability in the given context.

Learn more about probability

brainly.com/question/32117953

#SPJ11

The perimeter of the original rectangle Anna pictured is 2 * 78 = 156 units.

Let's denote the original length of the rectangle as L and the original width as W. The original area of the rectangle is then given by A = L * W.

According to the given information, if Anna increases each of the rectangle's dimensions by 43 units, the new length will be (L + 43) and the new width will be (W + 43). The new area of the rectangle is then (L + 43) * (W + 43).

We are told that the new area is 2021 square units greater than the original area, so we can write the equation:

(L + 43) * (W + 43) = A + 2021

Substituting A = L * W into the equation, we have:

(L + 43) * (W + 43) = L * W + 2021

Expanding the equation, we get:

L * W + 43L + 43W + 43 * 43 = L * W + 2021

Simplifying the equation by canceling out the common terms L * W, we have:

43L + 43W + 43 * 43 = 2021

43L + 43W = 2021 - 43 * 43

Now, let's solve for L + W (the sum of the original length and width):

L + W = (2021 - 43 * 43) / 43

Once we find the value of L + W, we can determine the perimeter of the original rectangle by multiplying it by 2:

Perimeter = 2 * (L + W)

Calculating the expression (2021 - 43 * 43) / 43, we find that L + W is equal to 78.

Therefore, the perimeter of the original rectangle Anna pictured is 2 * 78 = 156 units.

To learn more about equation visit;

https://brainly.com/question/10413253

#SPJ11

Hello!

In the given figure we can see that it is a right angled triangle .

Where,

Base is 9

We have to find the value of x i.e Hypotenuse

Here we are given base and we need to find the Hypotenuse.

Also we have been given the value of theta = 45°

Using trigonometric ratio :

cos \(\theta = \dfrac{ B}{H} \)

As per the question we have hypotenuse = x

Plugging the required values,

\( \cos 45 \degree = \dfrac{9}{x} \)

\( \dfrac{1}{ \sqrt{2} } = \dfrac{9}{x} \: \: \: \: \bigg(\because \cos 45\degree = \dfrac{1}{\sqrt2} \bigg)\)

further solving by cross multiplication

\(x = 9 \sqrt{2} \)

Hence, The value of x is 9√2

Answer : Option 1

Hope it helps! :)

The given expression, \(7x^2 - 28\), can be factored completely.

First, we can factor out the greatest common factor (GCF) of the expression, which is 7:

\(7(x^2 - 4)\)

Next, we can factor the expression inside the parentheses as the difference of squares:

\(7(x - 2)(x + 2)\)

So the completely factored form of the expression is \(7(x - 2)(x + 2)\).

In summary, the expression \(7x^2 - 28\) can be factored completely as \(7(x - 2)(x + 2)\).

Know more about greatest common factor here:

https://brainly.com/question/29584814

#SPJ11

Answer:

2) -7 i think

Step-by-step explanation:

1. m may be higher or lower than the population mean.
2. The value of m is not necessarily representative of the population mean.
3. The sampling distribution of m is not necessarily normal.
4. The mean, median, and mode of the sample may all be different.

Assuming that the population from which you select your sample is not normal, the following statements about m (the mean of the sample) are true:
1. m may be higher or lower than the population mean.
2. The value of m is not necessarily representative of the population mean.
3. The sampling distribution of m is not necessarily normal.
4. The mean, median, and mode of the sample may all be different.

Learn more about Mean of the sample

brainly.com/question/31056338

#SPJ11

When a population is not normal, it means that the distribution of the data is not symmetric and has non-uniform spread.

Learn more about central tendency

brainly.com/question/30218735

#SPJ11

Answer:

its the 2 one

Step-by-step explanation:

Answer:

I think It's the last One.

Step-by-step explanation:

the answer is -2(2)-(-8)+1

Answer:

I think it's D also

Step-by-step explanation:

D is my best answer plus I don't think it would be negative and it would be a fraction

Answer:

  3(x+2)/(2(x+4))

Step-by-step explanation:

A compound fraction is simplified by rewriting it as a simple fraction, and reducing it to lowest terms by cancelling common factors from numerator and denominator. The division of one fraction by another is accomplished in the usual way: multiply the numerator by the inverse of the denominator.

__

  \(\dfrac{\left(\dfrac{6x^2-24}{x^2+7x+12}\right)}{\left(\dfrac{4x^2-4x-8}{x^2+4x+3}\right)}=\left(\dfrac{6x^2-24}{x^2+7x+12}\right)\times\left(\dfrac{x^2+4x+3}{4x^2-4x-8}\right)\\\\=\dfrac{6(x-2)(x+2)}{(x+3)(x+4)}\times\dfrac{(x+1)(x+3)}{4(x-2)(x+1)}=\dfrac{3(x-2)(x+1)(x+2)(x+3)}{2(x-2)(x+1)(x+3)(x+4)}\\\\=\boxed{\dfrac{3(x+2)}{2(x+4)}}\)

The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.

To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model. The model assumes that the value of a stock is equal to the present value of all its expected future dividends.

First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:

Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17

Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40

Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65

Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92

Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22

After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.

The present value of the dividends can be calculated as follows:

PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n)

where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.

In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value:

PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)

PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5

PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59

PV ≈ $16.22

Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.

Learn more about cost here: brainly.com/question/14566816

#SPJ11

The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.

To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model.
The model assumes that the value of a stock is equal to the present value of all its expected future dividends. First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:

Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17
Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40
Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65
Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92
Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22

After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.
The present value of the dividends can be calculated as follows:
PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n) where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.

In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value: PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)
PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5
PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59
PV ≈ $16.22
Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.

Learn more about cost here: brainly.com/question/14566816

#SPJ11

The area of the rectangle given in the question is 36cm²

The area of figure can be computed thus:

Area of rectangle= Length × width

The figure can be broken down into two different rectangles :

Area of Rectangle 1 = 3cm × 4cm = 12cm²

Area of Rectangle 2 = 6cm × 4cm = 24cm²

Area of the figure = (Area of Rectangle 1 + Area of Rectangle 2)

Area of figure = 12 + 24 = 36cm²

Therefore, the area of the figure is 36cm².

Learn more on area : https://brainly.com/question/2607596

#SPJ4

Answer:

$80.55

Step-by-step explanation:

Answer: $80.55

Step-by-step explanation:

First way:

3 yards cost $26.85

1 yard will cost $26.85 ÷ 3

26.85 ÷ 3 = 8.95

1 yard costs $8.95

9 yard will cost $8.95 × 9

8.95 × 9 = 80.55

9 yards cost $80.55

Second way:

3 yards cost $26.85

9 yards will cost $26.85 × 3

26.85 × 3 = 80.55

9 yards cost $80.55

Hope this helped!

Answer:

The answer is the second option: {4, 7, 10...}

Answer:

-170

Step-by-step explanation:

we are withdrawing so minus from original amount

The probability that the ladybug will be at position 1 at time t+1 is ((1/2)*(12/50) + (1/2)*(16/50)) = 14/50 = 0.28.

Information on possibility of occurrence is provided by probability. For instance, meteorologists can forecast the likelihood of rain by looking at weather patterns. Probability theory is utilized in epidemiology to comprehend how exposures and the risk of health impacts are related.

The probability is computed by dividing the total number of outcomes by the number of possible ways the event could occur. Probability and odds are two separate ideas. Odds are calculated by dividing the likelihood that something will occur by the likelihood that it won't.

To know more probability visit:

https://brainly.com/question/11234923

#SPJ4

============================================================

Explanation:

It might help to rotate the figure so the parallel sides are horizontal. This is optional.

The parallel bases are \(b_1 = 6\) and \(b_2 = 4\) in either order.

The height is h = 4 which is always perpendicular to both bases.

Plug these values into the trapezoid area formula.

\(A = \frac{h(b_1 + b_2)}{2}\\\\A = \frac{4(6+4)}{2}\\\\A = \frac{4(10)}{2}\\\\A = \frac{40}{2}\\\\A = 20\\\\\)

The area of the trapezoid is 20 square units.

-----------

Another pathway is to break the trapezoid into a rectangle up top and a triangle down below.

The rectangle is 4 by 4 with area 4*4 = 16

The triangle has a base of 6-4 = 2 and height of 4, so its area is base*height/2 = 2*4/2 = 8/2 = 4

Overall the total area is rectangle+triangle = 16+4 = 20 square units.

Answer:

A

Step-by-step explanation:

A secant is a line that goes through a circle at two points.

Answer:

A

Step-by-step explanation:

a straight line that cuts a curve in two or more parts.

Answer:

x=2 or x=−6

Step-by-step explanation: