A sweater that costs $35.98 has a 25% markdown. What is the FINAL price of the sweater? Round to the nearest cent/hundredths place.

If the saving rate is 1, it means that an individual or an economy saves their entire income and spends nothing. This implies that the consumption rate is 0, and all income is being saved.

In this scenario, the investment rate is equal to the saving rate, as there is no consumption spending. Therefore, the economy is investing all of its income in capital goods and not in consumption goods. This approach may result in high economic growth in the future due to the increased production capacity of the economy. However, in the short term, it may lead to a decrease in consumer demand and a decrease in output and employment in sectors producing consumer goods.

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The time taken by Jill and Cheryl to double their money is 12 years and 18 years respectively.

Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.

Jill invested $500 in an account with a compound interest rate of 6%.

Cheryl invests $600 in an account with a compound interest rate of 4%.

The number of years each doubles their money. Using the relation of 72.

\(\rm t = \dfrac{72}{r}\)

where r is the interest rate and t be the time

The time for the Jill will be

\(\rm t = \dfrac{72}{6}\\\\t = 12\\\)

The time for the Cheryl will be

\(\rm t = \dfrac{72}{4}\\\\t = 18\\\)

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1.06418

The same as of sec 20 degrees in radians to obtain 20 degrees in radian multiply 20° by / 180° = 1/9

Alice traveled a total distance of 15 miles to get to her physics class.

The question requires you to find the total distance Alice traveled to get to her physics class, given that she walked 0.25 miles to the bus stop, took a bus 1.2 miles to the train station, took the train for 13 miles, and walked the remaining 0.17 miles. To find the total distance, you need to add all the distances together.

To determine the total distance Alice traveled, add all the distances she covered:

0.25 miles (walking) + 1.2 miles (bus) + 13 miles (train) + 0.17 miles (walking) = 14.62 miles

Since she had to walk the remaining 0.17 miles to get to her physics class, add that to the total distance:

14.62 miles + 0.17 miles = 14.79 miles

Rounding off the answer to the nearest whole number gives:

Total distance = 15 miles

Therefore, Alice traveled a total distance of 15 miles to get to her physics class.

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The area inside the limaçon r = 8 + 3 cos θ is 20π. The limaçon does not cross the x-axis and its graph is contained in the first and fourth quadrants.

The area inside the limaçon r = 8 + 3 cos θ is given by:

A = (1/2) ∫[a,b] r^2(θ) dθ

where r = 8 + 3 cos θ and a, b are the limits of integration.

To find a and b, we note that the limaçon has a vertical axis of symmetry and its graph is symmetric about the line θ = π/2. Thus, we can find the area of one half of the limaçon and double the result to get the total area.

The limaçon intersects the x-axis when r = 0, which occurs when:

8 + 3 cos θ = 0

cos θ = -8/3

This equation has no real solutions, since the cosine function has a maximum value of 1. Therefore, the limaçon does not cross the x-axis and its graph is contained in the first and fourth quadrants.

The limaçon has a minimum value when cos θ = -1, which occurs when θ = π. Its maximum value occurs when cos θ = 1, which occurs when θ = 0 or 2π.

Therefore, we can choose a = 0 and b = π to integrate over one half of the limaçon.

Substituting r and integrating, we get:

A = 2 ∫[0,π/2] (8 + 3 cos θ)^2 / 2 dθ

A = 2 ∫[0,π/2] (64 + 48 cos θ + 9 cos^2 θ) / 2 dθ

A = 2 [ 32θ + 24 sin θ + (9/2) sin 2θ ] [0,π/2]

A = 2 [ 16π + 24 ] / 2

A = 20π

Therefore, the area inside the limaçon r = 8 + 3 cos θ is 20π.

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A relationship that compares two numbers or other mathematical expressions in an unequal way is known as an inequality. It is most frequently used to compare the sizes of two numbers on the number line.

Inequality is the absence of an equality link between two expressions or values. So inequality emerges from an imbalance.

a) inequality represents the solution to the given inequality

such as

3b > 48

3b /3 > 48/3

b>16

b) inequality represents the solution to the given inequality

such as

M/7 > -56

7 * M/7 > 7 * -56

m>-392

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The value of x in the ratio 5x : 9 = 7 : 3 is x = 21/5

From the question, the ratio is given as

5x : 9 = 7 : 3

Express the ratio, as a fraction

So, we have the following representation

5x / 9 = 7 / 3

Cross multiply the following expression

So, we have the following representation

3 * 5x = 9 * 7

Evaluate the products

15x = 63

Divide both sides by 15

So, we have

x = 63/15

Simplify the fraction

x = 21/5

Hence, the solution to the ratio is x = 21/5

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Zeros of the given polynomial are -2, 2, -3/2, 3/2

Zeros of a polynomial can be defined as the points where the polynomial becomes zero as a whole.

Given a polynomial 1/4(4\(x^{4}\) - 25\(x^{2}\) + 36)

1/4(4\(x^{4}\) - 25\(x^{2}\) + 36) = 0

(4\(x^{4}\) - 25\(x^{2}\) + 36) = 0

4\(x^{4}\) - 16\(x^{2}\) - 9\(x^{2}\) + 36= 0

4\(x^{4}\)(\(x^{2}\) - 4) - 9(\(x^{2}\) - 4) = 0

(4\(x^{4}\)-9)(\(x^{2}\) - 4) = 0

(x+2)(x-2)(2x+3)(2x-3) = 0

x = -2, 2, -3/2, 3/2

Hence, Zeros of the given polynomial are -2, 2, -3/2, 3/2

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The probability of getting heads exactly once when a biased coin with a probability of 0.57 of coming up heads is tossed three times is 0.4443

To find the probability of getting heads exactly once when tossing the biased coin three times, we can use the binomial probability formula. The formula is given by:

\(P(X=k) = C(n, k) * p^k * q^{(n-k)}\)

Where:

P(X=k) is the probability of getting exactly k successes (heads in this case),

In this case, we have p = 0.57 (probability of heads), q = 1 - p = 0.43 (probability of tails), and n = 3 (total number of tosses). We are interested in finding P(X=1), the probability of getting heads exactly once.

Plugging the values into the formula, we have:

\(P(X=1) = C(3, 1) * 0.57^1 * 0.43^{(3-1)}\)

\(= 3 * 0.57 * 0.43^2\)

≈ 0.4443

Therefore, the correct calculation from the options provided is 3(0.57)\((0.43)^2\), which yields an approximate probability of 0.4443.

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Step-by-step explanation:

Acute (angles less than 90 degrees) , scalene ( all angles and side lengths are different)  and oblique ( no right angle in the triangle)  are three that apply

c

because 7+2n

sum is addition

2n is multiplication

The more precise estimator ẏ₁ is the most efficient in estimating the average salary. With given values, the confidence interval is calculated to determine whether to accept the claim of a $50,000 mean salary.



In this scenario, we have two estimators for the average salary: ẏ₁, which uses precise data, and ẏ₂, which includes less precise data. The efficiency of the estimators depends on the variance of the data. If we compare the variances, Var(ẏ₁) = 0% and Var(ẏ₂) = o²(1 + 3c). Since Var(ẏ₁) is zero, it implies that ẏ₁ is the most efficient estimator. The answer does not depend on the value of c.

In the second part, with c = 0, we have Var(Y) = o². Given N = 300, s² = 20,000,000, and ẏ₁ = $48,000, we can use these values to construct a confidence interval. Using a 1% significance level, the critical value is 2.57 (from the standard normal distribution). The confidence interval is given by ẏ₁ ± 2.57 * sqrt(s²/N), which results in $48,000 ± 2.57 * sqrt(20,000,000/300). If this interval contains $50,000, we would accept your friend's claim; otherwise, we would reject it.

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Answer:

67 minutes

Step-by-step explanation:

(1hour = 60 minutes)

60 + 34 = 94 minutes

94 - 27 = 67 minutes left

(67min = 1hour 7min)

Both conditions must be met in order to ride: being at least five years old and being at least 36 inches tall. expression evaluates to true if a person can ride - (Age >= 5) && (Height > 36)

In order for a person to ride, two conditions must be true: they must be at least 5 years old and taller than 36 inches. In order to evaluate whether a person can ride, we can use the expression (Age >= 5) && (Height > 36). This expression evaluates to true if both conditions are true; if either one is false, then the expression will evaluate to false. For example, if a person is 4 years old and 40 inches tall, then the expression will evaluate to false because the first condition is false. On the other hand, if a person is 5 years old and 40 inches tall, then the expression will evaluate to true because both conditions are true.

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Answer:

68cm

Step-by-step explanation:

Because the scale factor is 2, which means the drawing is 2 times smaller than the actual airplane, multiply 34, the length of the wings tip to tip in the drawing by 2.

34 x 2 = 68

Answer: 68 meters

(Hope I'm correct, but read the explanation to make sure)

Step-by-step explanation:

Let's start with what we know. We know that the scale factor is 2, so in our model, from tip to tip, it is 34 cm. However, since the scale factor is 2:
34 * 2 = 68 meters

Answer:

the answer is 12.2 :)

Step-by-step explanation:

Answer:

The answer to your problem is, A. \(\frac{4}{5}\)

Step-by-step explanation:

We would need to count the entire shaded area both green and blue for the numerator. Which shown the denominator will be all the colors yellow, blue and green squares.

Total Green and blue 24, numerator

Total Green, blue Yellow 30, denominator

Which then divide 24 ÷ 30.

Simplify: divide numerator and denominator by 6

= \(\frac{4}{5}\)

Thus the answer to your problem is, A. \(\frac{4}{5}\)

The measure of <A = 53 degrees

To determine the measure of the angle, we need to know the following;

From the information given, we have that;

AB is a diameter of circle O.

Bute m<B = 37 degrees

Then, we can say that;

<A + <B + <C = 180

<A + 90 + 37 = 180

collect the like terms, we have;

<A = 53 degrees

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To solve the problem we must know about Like Terms.

like terms are those terms that are having the same variables, also the variables are of the same order as well.

for example, 25x and 5x are like terms; 30xy and 7xy are like terms, 9x³ and 4x² are not like terms, etc.

The polynomial can be written as \(x ^3 + 5x^2+5x - 2\).

Given to us

We will simplify the given polynomial, therefore, bring the like terms together,

\(x ^3 + 3x^2 - x + 2x^2 + 6x - 2\\\\=x ^3 + (3x^2 + 2x^2)+(- x + 6x) - 2\\\\=x ^3 + 5x^2+5x - 2\)

Hence, the polynomial can be written as \(x ^3 + 5x^2+5x - 2\).

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Answer:

5

Step-by-step explanation:

Im not sure if this is correct but i think the question is asking forehow many combinations there can be. you can have 5555, 5552, 5522, 5222, or 2222.

that means 5 combinations.

however, if the order of numbers in the combinations matter, which i dont think it does, there can be many more combinations. 5555, 2555, 5255, 5525, 5552, 2255, 2525, 2552, 2252, 2522, 2222. i think thats all the combinations

this adds up to 11 combinations

i hope this helps. im sorry if it didnt

The probability of choosing all five white balls correctly from a bowl of 69 white balls and the probability of choosing the correct red ball from a bowl of 29 red balls is \({}^{69}C_5/29\) .

The probability of choosing all five white balls correctly can be calculated using the formula for combinations, where the order does not matter and the balls are chosen without replacement. The probability is given by:

P(Choosing all 5 white balls correctly) = (Number of ways to choose 5 white balls correctly) / (Total number of possible combinations)

The number of ways to choose 5 white balls correctly is 1, as there is only one correct combination.

The total number of possible combinations can be calculated using the formula for combinations, where we choose 5 balls out of 69. It is given by:

Total number of combinations = \({}^{69}C_5\)

Next, we need to calculate the probability of choosing the correct red ball from a bowl of 29 red balls. Since there is only one correct red ball, the probability is 1/29.

Finally, to find the likelihood of being the winner of the Powerball lottery, we multiply the probability of choosing all five white balls correctly by the probability of choosing the correct red ball:

Likelihood = P(Choosing all 5 white balls correctly) * P(Choosing correct red ball)

=\({}^{69}C_5 \times 1/29\\\)

This gives us the probability of being the winner of the Powerball lottery.

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Answer:

A one tailed test

Step-by-step explanation:

Chi-Square Distributions That Are Positively Skewed Have A Research Hypothesis That Is A One-Tailed Test.

Chi-Square distributions are positively skewed, with the degree of skew decreasing with increasing degrees of freedom.

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One-Tailed Test

Chi-Square distributions that are positively skewed have a research hypothesis that is a One-Tailed Test.

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Answer:

4y + 15

Step-by-step explanation:

You do distributive property first so you will do 2*2y = 4y and you will also do 2*5=10 that then leaves you with 5x4y+15 now you combine like terms which is the 5 and 15 so your answer is 4y+15 (if i understood the question right)

Therefore, the Jacobian matrix for the transformation is:

J =

[2u + v u]

[7v^2 14uv]

To find the Jacobian for the given transformation, we need to compute the partial derivatives of the new variables (x and y) with respect to the original variables (u and v).

Given:x = u^2 + uv

y = 7uv^2

We calculate the partial derivatives as follows:

∂x/∂u = 2u + v (partial derivative of x with respect to u)

∂x/∂v = u (partial derivative of x with respect to v)

∂y/∂u = 7v^2 (partial derivative of y with respect to u)

∂y/∂v = 14uv (partial derivative of y with respect to v)

The Jacobian matrix J is formed by arranging these partial derivatives:

J = [∂x/∂u ∂x/∂v]

[∂y/∂u ∂y/∂v]

Substituting the values we calculated, the Jacobian matrix J is:

J = [2u + v u]

[7v^2 14uv]

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Answer:

13 is the quotient and the remainder is 2

13*3=39

39+2=41

Step-by-step explanation:

The quotient and remainder of 41 divided by 3 are 13 and 2 respectively.

We have to given that,

To find the quotient and remainder of 41 divided by 3.

We can divide it,

⇒ 41 ÷ 3

3 ) 41 ( 13

 - 3

-------

   11

 - 9

---------

      2

Hence, We get;

After divide,

Quotient = 13

Remainder = 2

Therefore, the quotient and remainder of 41 divided by 3 are 13 and 2 respectively.

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The answer is b=18. To solve, multiply 6 by 3 to get 18. This is called doing the inverse operation. Since the equation is a division equation, we would have to multiply in order to find the missing variable.

Answer:

x=12/5

Step-by-step explanation:

x*5/12=1

x=1*12/5

x=12/5

Answer:

x = 12/5

Step-by-step explanation:

Combine multiplied terms into a single fraction

5x/12 = 1

Multiply all terms by the same value to eliminate fraction denominators

12 x 5x/12 = 12

Cancel multiplied terms that are in the denominator

5x = 12

x = 12/5

From the data points given the linear equation in slope-intercept form is y = -1/2x + 4.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

The first two data points are - (-3,5.5) and (-1,4.5)

The slope-intercept form of the equation is -

y = mx + b

m represents the slope of the linear equation.

To find the value of m use the formula -

(y2 - y1)/(x2 - x1)

Substitute the values into the equation -

(4.5 - 5.5)/[(-1) - (-3)]

Use the arithmetic operation of subtraction -

(-1)/(-1 + 3)

-1 / 2

So, the slope m is m = -1/2

Now, the equation becomes y = -1/2x + b

To find the value of b substitute the  values of x and y in the equation -

5.5 = -1/2(-3) + b

5.5 = 3/2 + b

5.5 = 1.5 + b

b = 5.5 - 1.5

b = 4

So, now the equation becomes - y = -1/2x + 4

The graph for the equation is plotted.

Therefore, the equation is y = -1/2x + 4.

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Step-by-step explanation:

Given

- 72 = 8 ( y - 3 )

or - 72 / 8 = y - 3

or, - 9 = y - 3

y = - 9 + 3

Therefore X = - 6

Hope it will help :)❤

Answer:

Step-by-step explanation:

-72=8y-24

-72+24=8y

-48=8y

-48/8=y

-6=y