Financial algebra: advanced algebra with financial applications workbook answers

Taking into account the definition of permutation, there are 1320 ways you can listen to 3 songs from a cd that has 12 selections.

Permutations refer to the action of arranging all the members of a set in some kind of order or sequence. This means that if a set is already ordered, the process of rearranging its elements is called permutation.

In other words, permutations of m elements in n positions are the different ways in which the m elements can be arranged occupying only the n positions.

In this case, the elements are not repeated, since if they are repeated or equal to each other, exchanging them does not generate a new permutation. And the order does matter, since the exchange between two different elements generates a new permutation

To obtain the total of ways in which m elements can be placed in n positions, the expression is used:

[tex]P=\frac{m!}{(m-n)!}[/tex]

The sign ! indicates the factorial function, which indicates that all positive integers between the number that appears in the formula and the number 1 must be multiplied.

The order in which songs are listening is important as there is no plan to listen to the same song twice. So, the permutation can be applied.

Being:

and replacing in the expression for permutation, you get:

[tex]P=\frac{12!}{(12-3)!}[/tex]

[tex]P=\frac{12!}{9!}[/tex]

[tex]P=\frac{479001600}{362880}[/tex]

P= 1320

Finally, there are 1320 ways you can listen to 3 songs from a cd that has 12 selections.

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The angle generated by the hour hand measures -270° or -4.71 radians, and we will see that the angle generated by the minute hand is 12 times the one generated by the hour hand.

Remember that in a complete rotation we have an angle of 360°, and in a complete rotation we have 12 hours, then there is a relation:

12 hours = 360°

1 hour = 360°/12 = 30°

From 9:00 a.m to 5:00 p.m. there are 9 hours, so the angle that the hour hand does is:

A = 9*(30°) = -270°

(the negative sign is because this angle is measured clockwise)

Now we can write this in radians, remember that:

3.14 radians = 180°

Then:

1 = (3.14 rad/180°)

Then:

270° = -270°*(3.14 rad/180°) = -4.71 rad

Each hour that passes, the minute hand does a complete revolution. Then in 9 hours, the minute hand does an angle of:

A = 9*(-360°) = -3,240°

To compare this angle to the one generated by the minute hand we take the quotient:

-3,240°/-270° = 12

So this angle generated by the minute hand is 12 times the one generated by the hour hand.

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The table is an illustration of arithmetic sequence

The equation of the arithmetic sequence is B(s) = 7.5s

From the table (see attachment), we have the following formula

B(s) = 7.5s

For s =0 to 4, we have:

B(0) = 7.5(0) = 0

B(1) = 7.5(1) = 7.5

B(2) = 7.5(2) = 15

B(3) = 7.5(3) = 22.5

B(4) = 7.5(4) = 30

So, the complete table is:

s       B(s)

0        0

1         7.5

2        15

3       22.5

4       30

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Answer:

answer is

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[tex]\green{ \underline { \boxed{ \sf{Force,F= Mass \times Acceleration }}}}[/tex]

So,

[tex] \sf Acceleration,a = \frac{Force}{Mass}[/tex]

[tex] \sf \implies \frac{20}{32} [/tex]

[tex]\implies \frac{5}{8} m/s^2[/tex]

Now,

By first equation of motion -

[tex]\green{ \underline { \boxed{ \sf{v-u=at}}}}[/tex]

So,

[tex]\sf t = \dfrac{v-u}{a} [/tex]

where

Putting Values -

[tex]\sf t = \dfrac{9-4}{ \dfrac{5}{8}} [/tex]

[tex]\sf t = \dfrac{5}{ \dfrac{5}{8}} [/tex]

[tex]\sf t = \cancel5 \times \dfrac{8}{\cancel{5}} [/tex]

[tex]\sf t = 8 \:seconds[/tex]

>>>Therefore, Force is applied for 8 seconds.

Answer:

0.5hz

Explanation:

Since this cylinder has a radius of 2 inch, its volume is equal to 25.12 cubic inches.

Given the following data:

In Mathematics, volume can be defined as a scalar quantity that is used to express the amount of three-dimensional (3D) space that is occupied by an object such as a cylindrical can, or enclosed by a boundary.

Mathematically, the volume of a cylinder is given by this formula:

[tex]V = \pi r^2h[/tex]

Where:

Substituting the given parameters into the formula, we have;

[tex]V = 3.14 \times 2^2 \times 2\\\\V=3.14 \times 4\times 2\\\\V=6.28 \times 4[/tex]

V = 25.12 cubic inches.

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Answer:

pH=4.63

Explanation:

pH = pKa + log(base/acid)

Answer:

The long-run aggregate supply curve is vertical because, the economy that produces the potential output, is not related to the price level of the products. The long-run aggregate supply curve is vertical at the full-employment output level as this amount is produced as and when the prices are fully adjustable.

Explanation:

Based on the model of cellular transport, the transport of a substance against its electrochemical gradient is accomplished with energy input from ATP.

It is a cellular mechanism by which some molecules cross the plasma membrane against a concentration gradient with the consequent expenditure of energy.

The carrier proteins that intervene in the transport of molecules require an energy supply, in the form of ATP, it is carried out at the expense of respiration and photosynthesis processes; by hydrolysis of ATP by membrane ATP hydrolases.

Therefore, we can conclude that based on the model of cellular transport, the transport of a substance against its electrochemical gradient is accomplished with energy input from ATP.

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Houghton Mifflin Harcourt geometry volume 2 is one that covers the topics on the use of Similar Triangles, transformation and others. It is a textbook that helps students to sharpen their knowledge on geometry.

This is known to be the 21st Edition geometry textbook that was written by Houghton Mifflin Harcourt . Some of the topics covered in this geometry textbook are:

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Answer:

it lowers global warming/litter

Explanation:

if those fossil fules get in the air it bad gib brainiest

"Reusing, reducing, or recycling" could decrease the amount of fossil fuels used as it lowers global warming/litter.

Reduce is referred to the lowering use of the substance, resources, or any other items. Reuse refers to the repeated benefit or a resource, item, or any substance.Recycling is the process of collecting and processing the materials again to avoid it throwing them in the trash.

The 3R's are the reduce, reuse, and recycle the waste or products. Reduce is referred to diminish the use of certain products or resources, reuse is to repeated use of items, and recycle is to mold and develop into a new item.

Throwing antifreeze can become ilegal because it gets heavy metals such as lead, cadmium and chromium that make it hazardous waste, which should not be thrown in public areas.

Therefore, "Reusing, reducing, or recycling" could decrease the amount of fossil fuels used as it lowers global warming/litter.

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#SPJ2

Answer:

Factoring

Explanation:

The opposite can be called distributing

to 0 are called the zeros of f. These values of x are the roots, or solutions, of the polynomial equation f(x) = 0. Each real root of the polynomial equation appears as an x-intercept of the graph of the polynomial function.

A scenario which demonstrate that the problem is undecidable is when for an instance of the problem, no algorithm written provides a correct YES or NO answer.

An algorithm can be defined as a standard formula and procedures with a set of finite steps and instructions that are executed on a computer system, in order to proffer solutions to a specific problem under appropriate conditions.

This ultimately implies that, a scenario which demonstrate that a certain problem is undecidable is when for an instance of the problem, no algorithm can be written by a programmer is capable of providing either a correct YES or NO answer.

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Unlike other European nations, Japan utilised monetary policies, exchange rate and expansionary fiscal to recover.

Japan achieved an early recovery from the Great Depression of the 1930s. Much of the success was attributed to veteran finance minister, Takahashi Korekiyo, who managed to effect the recovery by prescribing a combination of expansionary fiscal, exchange rate, and monetary policies.

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Re: Excel ran out of resources while attempting to calculate one or more formulas

Your used range includes a lot of empty cells. If you hit Ctrl+End it will take you to the last cell in the used range and you can see ...

You have a lot of empty formatted cells (colored), but should be corrected when you reset the used range.

You have this formula on the Project Cost Tracking worksheet, cell CE1:

Through the use of a light microscope it is possible to observe in multicellular organisms different types of cells and organelle features, and in general, they are all very small.

They are all those forms of life whose bodies are composed of a diversity of cells organized, hierarchical, at the cellular level through organelles that are specialized cell differentiations.

The cells that make up these organisms have different shapes and sizes and, in general, they are all very small, so to see them it's needed a light microscope, an instrument that increases many times the size of samples.

Therefore, we can conclude that through the use of a light microscope it is possible to observe in multicellular organisms different types of cells and organelle features, and in general, they are all very small.

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Answer:

temperatures are all low on topbof the mountains

Answer:the cold

Explanation:mountains have this thing called an ice cap at the top

The right position for the highlighted line are:

Accent marks are known to be a kind of symbols that are often employed over letters, such as vowels.

These marks are known  to help a person to show or emphasize the right or correct pronunciation of a word. They are the marks that are often found in languages such as French, German, etc.

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Answer: collar

Explanation: trust me

Answer: collar

Explanation: did on edg

Emerson’s view of the relationship between society and individuals is; D; Society encourages people to be alike.

From the question, we see the society being referred to as a  "joint-stock company" where the members agree on what they want and what they do not want.

Subsequently, we see how the society must work hand in hand to make sure that they give everyone what belongs to them so that everyone is self reliant.

Finally, we can say that the relationship between society and individuals is one where society encourages people to be alike which is depicted where the passage calls for conformity.

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Answer:

your answer is d

Explanation:

An example of 17.3 subtracting polynomial expressions question is solve for 2q² - q - 8) - (2 q² + q - 4).

A polynomial is known to be a type of  an expression that is made up of variables, constants and exponents. They are often combined using the mathematical terms such as addition, subtraction, etc.

2 q² - q - 8) - (2 q² + q - 4)

= (2 q² - q - 8) + (-2 q² - q + 4)

Then you have to rewrite subtraction as addition and then Group like terms together;

= (2 q² - 2 q²) + (-q - q) + (-8 + 4)

= -2q - 4

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Answer:

ok

Explanation:

The reaction rate between 0 -195 seconds for the decomposition of N2O5 is 0.0006 M/s.

The rate of reaction can be estimated in terms of the consumption of the reactants in the reaction.

From the given information, the equation N2O5 has been the reactant that has been used in 2 moles.

The rate of the reaction is expressed as:

[tex]\mathbf{Reaction \ rate = -\dfrac{1}{2} \times \dfrac{dN_2O_5}{dt}}[/tex]

The reaction rate for a time interval between (0 - 195) sec is expressed as follows:

[tex]\mathbf{Reaction rate = -\dfrac{1}{2} \times \dfrac{1.86556-2.10195}{195s - 0s}}[/tex]

[tex]\mathbf{Reaction \ rate = -\dfrac{1}{2} \times \dfrac{-0.23639}{195s}}[/tex]

= 0.0006 M/s.

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Answer:

1/20

Explanation:

Answer:

The University of California Riverside and NASA estimate human activity has increased the amount of carbon dioxide in the atmosphere by about 30 percent in the past 150 years. The amount of methane, a potent greenhouse gas produced by decomposing plant and animal matter, is also increasing

Explanation:

The central and inscribed angle theorem is used to solve angles and arc measure in a circle.

The theorem shows the relationship of the measures of an inscribed angle, central angle, and their intercepted arc.

It states that:

Therefore, the central and inscribed angle theorem is used to solve angles and arc measure in a circle.

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