X Problem P5-9 (similar to)
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Based on the after-tax retums, at what federal tax rate (as shown in Chapter 4) is an investor better off choosing a tax-exempt 7 16 percent municipal bond over a
taxable 10.39 percent corporate bond?
The after-tax retum on the corporate bond when the tax rate is 10% is %

Answer:

n = 26/45

Step-by-step explanation:

If the 9⅓ and 27⅘ are supposed to be \(9^{1/3}\)  and \(27^{4/5}\), then

\(9^{1/3}\) × \(27^{n}\) = \(27^{4/5}\)

=> \((3^{2})^{1/3}\) × \((3^3)^{n}\) = \((3^3)^{4/5}\)

=> \(3^{2/3}\) × \(3^{3n}\) = \(3^{12/5}\)

=> \(3^{3n+\frac{2}{3}}\) = \(3^{12/5}\)

=> 3n+2/3 = 12/5

=> 45n + 10 = 36

=> 45n = 26

=> n = 26/45

the final result of the double integral is `(4/3)*a. we have to Integrate the inner integral with respect to z.

what is inner integral ?

An inner integral is a mathematical term that refers to the integral function that is evaluated first in a double integral.

In the given question,

To solve this double integral, we will use the following steps:

Integrate the inner integral with respect to z.

Evaluate the result of the inner integral at  upper and lower limits of z.

Substitute the result of the inner integral into the outer integral and integrate with respect to y.

Evaluate the result of the outer integral at the upper and lower limits of y.

Simplify the expression.

Now, let's apply these steps to solve the given double integral:

Integrate the inner integral with respect to z:

∫(x²*z + y²*z + z³) dz = x²/2*z² + y²/2*z² + z^4/4 + C

where C is the constant of integration.

Evaluate the result of the inner integral at the upper and lower limits of z:

(x²/2*(a²-x²-y²)¹⁵ + y²/2*(a²-x²-y²)¹⁵ + (a²-x²-y²)²/4)

- (x²/2*(-a²+x²+y²)¹⁵ + y²/2*(-a²+x²+y²)¹⁵ + (-a²+x²+y²)²/4)

Substitute the result of the inner integral into the outer integral and integrate with respect to y:

markdown

∫[(x²/2*(a²-x²-y²)¹⁵ + y²/2*(a²-x²-y²)¹⁵ + (a²-x²-y²)²/4)

- (x²/2*(-a²+x²+y²)¹⁵ + y²/2*(-a²+x²+y²)¹⁵ + (-a²+x²+y²)²/4)] dy

Evaluate the result of the outer integral at the upper and lower limits of y:

= ∫[(x²/2*(a²-x²-y²)¹⁵ + y²/2*(a²-x²-y²)¹⁵ + (a²-x²-y²)²/4)- (x²/2*(-a²+x²+y²)¹⁵ + y²/2*(-a²+x²+y²)¹⁵ + (-a²+x²+y²)²/4)] dy

from y = -sqrt(a²-x²) to y = sqrt(a²-x²)

= (2/3)*x²*(a²-x²)¹⁵ + (2/3)*(a²-x²)²⁵

- (2/3)*x²*(-a²+x²)¹⁵ + (2/3)*(-a²+x²)²⁵

Simplify the expression:

= (4/3)*a³ - (4/3)*a*x²

Therefore, the final result of the double integral is `(4/3)*a

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Answer:

the amount added to the cost price of goods to cover overhead and profit.

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Meaning in my own words: The amount applied to the depreciation and production factor price of the product.

Example: Sells for $126 costs $100. Price is increase.

Synonyms for markup: increase, Profit

Hope this helps.

The dimensions of the rectangular box are given as follows:

All the dimensions.

The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:

Volume = length x width x height.

The box's volume is obtained as follows:

54 x 1³ = 128 x (3/4)³ = 54 cubic inches. (the volume of a cube is the side length cubed)

Hence all the options can be the dimensions of the box, as all the options have a multiplication resulting in 54.

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The number that is equal to four and five sixths is A. four and eighty three hundredths with the three repeating

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

The number that is equal to 4 5/6 will be illustrated thus:

= 4 5/6

= 4 + 0.8333.

= 4.8333

In this vase, the 3 is repeating. Therefore, the correct option is A.

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A sample of matter experiences a decrease in average kinetic energy as it continues to cool. One would anticipate that the particles will eventually come to a complete stop. The temperature at which particles should theoretically stop moving is absolute zero. Thus, option B is correct.

What theory directly contradicts concept of absolute zero?

All molecules are predicted to have zero kinetic energy and, as a result, no molecular motion at absolute zero (273.15°C). Zero is a hypothetical value (it has never been reached).

Absolute zero signifies that there is no kinetic energy involved in random motion. A substance's atoms don't move relative to one another.

Therefore, Kinetic energy because it can create heat which goes against the absolute zero. A gas molecule's kinetic energy tends to zero when the temperature reaches absolute zero.

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The powers, (index) and coefficients of the polynomial indicates;

(A) The standard form is; 2·x⁴ + 3·x³ + 9·x² - 12·x + 6

(B) 4

(C) Positive zeroes; 2 or 0, negative zeroes; 0 or 2, complex zeroes; 0 or 2 or 4

(D) ±1/2, ±1, ±3/2, ±2, ±3, ±6

(E) Please find attached the graph of the polynomial created with MS Excel

(F) Four complex roots

A polynomial is a mathematical expression that consists of variables and coefficients joined together by addition, subtraction and multiplication, with the exponents of the variables consisting of positive integer values.

Part A) The polynomial in standard form is; 2·x⁴ + 3·x³ + 9·x² - 12·x + 6

Part B) The degree of the polynomial is 4, as the highest power of the polynomial is 4

Part C) The use of the Rule of Signs, to determine the options for the number of positive zeroes, negative zeroes and complex zeroes, can be presented as follows;

Positive zeroes options; The number of time the signs coefficients of the expression; 2·x⁴ + 3·x³ + 9·x² - 12·x + 6, changes are two as follows;

+6 to -12, and from -12 to +9, therefore, the number of possible positive zeroes are 2 or 0, positive zeroes

The negative zeroes options; The negative zeroes options can be found by changing the sign of all the coefficients as follows; -2·x⁴ - 3·x³ - 9·x² + 12·x - 6, therefore, the number of times the sign of the coefficients change are again from -6 to +12, and from +12 to -9, which is 2 times, therefore;

The possible number of negative zeros are 2 or 0, negative zeroes

Whereby there are possibly 0 negative zeros and 0 positive zeroes, the possible number of complex zeroes are 4

Whereby there are 2 negative zeros and 0 positive zeroes, the possible number of complex zeroes are 2 complex zeroes

Whereby there are possibly 0 negative zeros and 2 positive zeroes, the possible number of complex zeroes are 2 complex zeroes

Part D) The rational roots theorem indicates that for a polynomial the rational roots are in the form p/q, where p is a factor of the constant term, and q is a factor of the leading coefficient.

The constant term is 6, and the leading coefficient is 2. The factors of 6 are ±1, ±2, ±3, and ±6 and the factors of 2 are; ±1, ±2 therefore;

p/q = ±1/1, ±2/1, ±3/1, ±6/1, ±1/2, ±2/2, ±3/2, ±6/2, which can be summarized as; ±1/2, ±1, ±3/2, ±2, ±3, ±6

Part E) Please find attached a screenshot of the graph of the polynomial created with MS Excel

Part F) The attached graph of the polynomial, created with MS Excel, indicates that there are no real zeros of the polynomial, therefore, there are four complex zeroes of the polynomial

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Answer:

6+7+8+9 = 30

Step-by-step explanation:

4 consecutive integers that equal 30 are 6, 7, 8, and 9.

They all add up to 30.

hope this helps!

have an amazing day :-)

Answer:

The total compound interest is $37,147.24.

Step-by-step explanation:

I could be wrong

Answer:

5:45

Step-by-step explanation:

Answer:

5:45 p.m.

If you look when the time goes past 12:00 p.m. it can go to 24 hour clock and if you count 17 is 5.

Answer:

\(5 + \frac{4x}{7} = - 3 \\ \frac{4x}{7} = - 8 \\ 4x = - 56 \\ x = -\frac{56}{4} \\ \therefore \: x= -14\)

9514 1404 393

Answer:

  y ≥ -2/3x +2

Step-by-step explanation:

The y-intercept of the boundary line is y=2.

The next grid intersection to the right appears to be the x-intercept at x=3, which represents a "rise" of -2 and a "run" of +3 from the y-intercept.

At this point, we know the slope (rise/run = -2/3) and the y-intercept (+2) of the boundary line. We see it is a solid line, and shading is above it. This means the inequality could be ...

  y = mx + b . . . . . . . . . equation for a line with slope m and y-intercept b

  y ≥ -2/3x +2 . . . . . equation for the graphed inequality

__

Alternate solution

We observe that the y-intercept is +2, and the x-intercept is +3. The equation of the boundary line can be written in intercept form as ...

  x/x-intercept = y/y-intercept = 1

As noted above, the line is shaded where both x- and y-values are greater than or equal to those on the line. So, the "intercept form" of the inequality could be ...

  x/3 +y/2 ≥ 1

Often, we don't like fractions, so we can multiply by 6 to put this in standard form:

  2x +3y ≥ 6

_____

Additional comment

Any of these highlighted inequalities is "an inequality" that describes the graph. We don't know if you're required to write the inequality in a specific form.

The mean absolute deviation (MAD) for the given data is 1/20. This means that, on average, each data point in the set differs from the mean by 1/20.

To find the mean absolute deviation (MAD) of a set of data, we need to calculate the average difference between each data point and the mean of the data set. Here's how we can calculate it for the given data:

Step 1: Find the mean (average) of the data set.

Mean = (1/4 + 5/8 + 3/8 + 3/4 + 1/2) / 5 = 2/5

Step 2: Calculate the difference between each data point and the mean.

Differences: |1/4 - 2/5|, |5/8 - 2/5|, |3/8 - 2/5|, |3/4 - 2/5|, |1/2 - 2/5|

Step 3: Calculate the absolute value of each difference.

Absolute Differences: 1/20, 1/40, 1/40, 1/20, 1/10

Step 4: Find the average of the absolute differences.

MAD = (1/20 + 1/40 + 1/40 + 1/20 + 1/10) / 5 = 1/20

The MAD provides a measure of the average amount of variation or dispersion in the data set. In this case, a MAD of 1/20 indicates that the data points are relatively close to the mean, with most values falling within 1/20 of the mean value.

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Answer:

2

Step-by-step explanation:

6w is a term

7x is a term

Answer:

D

Step-by-step explanation:

the others have a odd number of negatives.

can i have brainliest?

Problem a

Find out the first difference and second difference

x=6 y=7

x=7 y=4 4-7=-3

x=8 y=3 3-4=-1 -1-(-3)=2

x=9 y=4 4-3=1 1-(-1)=2

x=10 y=7 7-4=3 3-1=2

x=11 y=12 12-7=5 5-3=2

Remember that

If the second difference is the same value, the model will be quadratic

In this problem, the second difference is the same value

therefore

Answer:

a

 \(P(K) = 0\)

b

 \(P(Z) = 0\)

c

\(P(W) = 0.1016\)

d

 \(P(R) = 0.29\)

Step-by-step explanation:

From the question we are told that

  The number of married people is  k = 15  

   The number of people that are not married is  u =  15

   The number of people selected is  e = 12

   The total number of people is n  =  30

Generally the number of ways of  selecting 12  people from the married people is mathematically represented as

        \(B = ^k C_e\)

Here C stands for combination hence we will be making use of the combination functionality in our calculators

       \(B = ^{15} C_{12}\)

=>   \(B = 455\)

Generally the number of ways of  selecting 0  people from the not  married people is mathematically represented as

    \(A = ^u C_0\)

=> \(A = ^{15} C_0\)

=> \(A = 1\)

Generally the number of ways of  selecting 12  people from the total number of  people is mathematically represented as

     \(D = ^{n} C_{12}\)

=> \(D = ^{30} C_{12}\)

=> \(D = 8.6493225 *10^{7}\)

Generally the number of ways of selecting 12 people from the married people is equal to the number of ways of selecting 12 people from not married, also  the number of ways of selecting 0  people from the not married is equal to the number of ways of selecting 0 people from the married people,   all this is because the number of married people  is equal to the number of not married people

Generally the number of ways of selecting 8 people from the married people is  

      \(E = ^{k} C_{8}\)

=>   \(E = ^{15} C_{8}\)

=>   \(E =6435\)

Generally the number of ways of selecting 4 people from the not  married people is  

       \(F = ^{u} C_{4}\)

=>   \(F= ^{15} C_{4}\)

=>   \(F=1365\)

Generally the number of ways of selecting 6 people from the   married people is  

       \(G = ^{k} C_{6\)

=>   \(G= ^{15} C_{6}\)

=>   \(G=5005\)

Generally the number of ways of electing 6 people from the married people is equal to the number of ways of selecting 6  people from the not married people

Generally the probability that the jury consists of all married people is mathematically represented as

        \(P(K) = \frac{455 * 1 }{8.6493225 *10^{7}}\)

=>     \(P(K) = \frac{455 * 1 }{8.6493225 *10^{7}}\)

=>     \(P(K) = 0.000005\)

=>    \(P(K) = 0\)

Generally the probability that the jury consists of all not married people  is mathematically represented as

        \(P(Z) = \frac{455 * 1 }{8.6493225 *10^{7}}\)

=>     \(P(Z) = \frac{455 * 1 }{8.6493225 *10^{7}}\)

=>     \(P(Z) = 0.000005\)

=>    \(P(Z) = 0\)

Generally the probability that the jury consists of 8 married and 4 that are not married is mathematically represented as

     \(P(W) = \frac{ E * F}{D}\)

=>  \(P(W) = \frac{ 6435 * 1365}{8.6493225 *10^{7}}\)

=>  \(P(W) = 0.1016\)

Generally the probability that the jury consists of 6 married and 6 that are not married. is mathematically represented as

 \(P(R) = \frac{G * G}{D}\)

  \(P(R) = \frac{5005 * 5005}{8.6493225 *10^{7}}\)

=> \(P(R) = 0.29\)

The approximate height of the pole in centimeters is 17,500 centimeters.

We have,

Let's start by calculating the total length of the pole, which is buried plus the part that protrudes from the ground.

We know that the part that protrudes is 25 meters and that it represents one-seventh of the total length.

25 = L/7

where L is the total length of the pole.

We can solve for L by multiplying both sides of the equation by 7:

L = 7 x 25

  = 175 meters

Now we need to convert this length to centimeters.

Since 1 meter is equal to 100 centimeters,

175 meters x 100

= 17,500 centimeters

Therefore,

The approximate height of the pole in centimeters is 17,500 centimeters.

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The complete question.

The Clarisse company, dedicated to the telephone business, is expanding its coverage, due to this, it is placing poles, where the seventh part of a pole is buried, and protrudes 25 meters from the ground. Calculate the approximate height of the pole in centimeters.

Answer:

y = 2^{x}

Step-by-step explanation:

Given the above data for x and y.

From the algebraic expression;

y = 2^{x}

We can deduce that the value of y is equal to two (2) raise to the power of x.

When x = 1, y = 2

y = 2^{x}

y = 2^{1}

y = 2

When x = 2, y = 4

y = 2^{x}

y = 2^{2}

y = 4

When x = 3, y = 8

y = 2^{x}

y = 2^{3}

y = 8

The above calculations can be used to determine the other values of y with respect to x.

Answer:

m<RUS = 65°

m<UST = 15°

Step-by-step explanation:

Hi there!

We are given circle O, with a diameter of US

The measure of arc RU is 50°, and the measure of arc UT is 30°

We want to find the measure of <RUS and <UST

First, let's start with <RUS
As stated before, we were given the diameter of a circle - that is segment US

Notice how ΔRUS (which contains <RUS) contains the diameter US - this means that the portion of the circle that contains ΔRUS is a semicircle.
If that portion is a semicircle, then that means that m<URS is 90°

Next, we know that the measure of arc RU is 50°

Notice how <RSU is an inscribed angle, meaning that it is created by 2 chords, and that its vertex is on the circle itself

Inscribed angles are half the measure of the arcs they intercept. The arc that <RSU intercepts is arc RU, which means that the measure of <RSU is 25°

Now, to find m<RUS, you can do m<URS - m<RSU, as the acute angles in a right triangle add up to 90°

In that case:

m<RUS = m<URS - m<RSU

via substitution, m<RUS = 90° - 25°

m<RUS = 65°

Now we need to find the measure of <UST

Notice how m<UST is also an inscribed angle

The arc it intercepts is arc UT, which we were given has a measure of 30 degrees

Therefore, m<UST = half of the measure of arc UT

Via substitution,

m<UST = 1/2 * 30

m<UST = 15°

Hope this helps!

Answer:

1/3

Step-by-step explanation:

3x + y = -6

y = -3x - 6

The slopes of two perpendicular lines are negative reciprocals of each other

so negative reciprocal of -3 is 1/3

\( \large{ \boxed{ \tt{Answer : - 3}}}\)

Please see the attached picture for full solution!

-------- HappY LearninG <3 --------

Answer:

Step-by-step explanation:

15 into 300 is 20

300÷ 15 = 20

The pattern for the sequence 1.3, 8.3, 27.3, 64.3,… is f(n) = (n)³.3

The pattern in the question is given as

1.3, 8.3, 27.3, 64.3,…

In the above expressions and pattern, we can see that

From the above, we have the following

Current term = (n)³.3

Note that the decimal does not represent product

And also the pattern is a geometric sequence

Hence, the pattern for the sequence is f(n) = (n)³.3

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Answer:

b) yes they are, all going up evenly

c) all go up by twice their first number, then by 3

Step-by-step explanation:

9514 1404 393

Answer:

  $70

Step-by-step explanation:

The amount Elijah has remaining is ...

  $300 -(70 +2×33 +80 +2×7) = $300 -(70 +80 +2(33 +7)) = $300 -230 = $70

To the nearest dollar, Elijah has $70 left.

_____

Each amount is within a penny of the nearest dollar, so we can simply use the nearest dollar amounts for the prices. In order for the answer to be different, Elijah would have to purchase 50 or more items with this pricing (something.99).