the fernrod motorcycle company invested $250,000 at 4.5ompounded monthly to be used for the expansion of their manufacturing facilities. how much money will be available for the project in years?

Answer:

98=49bb+49tt

Step-by-step explanation:

Answer:

sin^2α

Step-by-step explanation:

I will just  pose  x instead  of alpha  here to make things simpler

\(\tan ^2\left(x\right)\left(2\cos ^2\left(x\right)+\sin ^2\left(x\right)-1\right)\\\\\)

we know that sin^2x = 1 -  cos^2x so...

\(=\left(-1+1-\cos ^2\left(x\right)+2\cos ^2\left(x\right)\right)\tan ^2\left(x\right)\)

\(=\cos ^2\left(x\right)\tan ^2\left(x\right)\)

we can rewrite using trigonometric identities (tan = sin/cos)...

\(=\left(\frac{\sin \left(x\right)}{\cos \left(x\right)}\right)^2\cos ^2\left(x\right)\\= \sin ^2\left(x\right)\)

The number of permutations without consecutive vowels at either end will be \(4560\)

Let \(X = \{A, B, C, D, E, F, G\}\)

Let \(Perm(X)=\{\text{All possible permutations of the elements of X}\}\)

Let \(V = \{A, E\}\)

Let \(Perm(\overline{V})= \{\text{All possible permutations of the consonants in X}\}\)

Permutations with consecutive vowels at either end will have one of the following forms

\(AE\overline{v} \text{ or } EA\overline{v} \text{ or } \overline{v}AE \text{ or } \overline{v}EA\\\text{for } \overline{v} \in Perm(\overline{V})\)

In all, we will have

\(4\times |Perm(\overline{V})|=4\times 5!\)  permutations

So, the number of permutations without consecutive vowels at either end will be

\(|Perm(X)|-4\times|Perm(\overline{V})|=7!-4\times 5!=4560\)

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I don't know the answer but same

Sorry ✨

Answer:

9 and ½

Step-by-step explanation:

the total is 9 and 30 50ths so yea...

Answer:

35

Step-by-step explanation:

21/3=7, which would be 20% of your number

7×5=35 (20% goes into 100 5 times)

Answer: 35.

60% times x = 21

The relation "r" defined on the set of people, where xry if x is older than y, is not a partial ordering. The first paragraph will provide a summary of the answer, and the second paragraph will explain why the relation fails to satisfy the properties of a partial ordering.

Reflexivity: For every person x, x must be older than or equal to themselves. In this case, the relation holds true since a person is always older than or equal to themselves.

Antisymmetry: If x is older than y and y is older than x, then x and y must be the same person. However, in this case, the relation does not satisfy antisymmetry because two different people can have different ages. For example, person A can be older than person B, and person B can be older than person C, but person A and person C can still be different individuals.

Transitivity: If x is older than y and y is older than z, then x must be older than z. In this case, the relation satisfies transitivity since if person A is older than person B and person B is older than person C, then person A is older than person C.

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The values for numbers #21 through #26 are as follows:

#21: 2.33% or 0.0233. #22: $56.4842. #23: 1.85% or 0.0185. #24: $56.4148. #25: 3.64% or 0.0364. #26: $57.4397

#21: 2.33% (arithmetic mean as a fraction: 0.0233)

#22: $56.4842 (result of the calculation)

#23: 1.85% (geometric mean as a fraction: 0.0185)

#24: $56.4148 (result of the calculation)

#25: 3.64% (continuous mean as a fraction: 0.0364)

#26: $57.4397 (result of the calculation)

To fill out numbers #21 through #26, we need to calculate the values for each term using the given information and convert the percentages to fractions.

#21: The arithmetic mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #21 = 2.33% = 0.0233.

#22: Multiply the starting price ($53.07) by the compound factor (1 + arithmetic mean)^3. Substitute the value of #21 into the calculation. Therefore, #22 = $53.07 x (1 + 0.0233)^3 = $56.4842.

#23: The geometric mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #23 = 1.85% = 0.0185.

#24: Multiply the starting price ($53.07) by the compound factor (1 + geometric mean)^3. Substitute the value of #23 into the calculation. Therefore, #24 = $53.07 x (1 + 0.0185)^3 = $56.4148.

#25: The continuous mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #25 = 3.64% = 0.0364.

#26: Multiply the starting price ($53.07) by the continuous factor e^(continuous mean x 3). Substitute the value of #25 into the calculation. Therefore, #26 = $53.07 x e^(0.0364 x 3) = $57.4397.

Hence, the values for numbers #21 through #26 are as calculated above.

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The figure will have a triangle and a rectangle. The area of a triangle is 10 in² and the rectangle is 80 in². Therefore, the total area is 90 in².

This question requires your knowledge about the area of compound shapes. For solving this, you should:

The figure is composed of a triangle and a rectangle.

Therefore, you should sum the area of these geometric figures for determining the area of the irregular figure.

Area of the triangle= \(\frac{b*h}{2}\). The figure shows that: the base = 10 in and the height =2 in

Thus,  A_triangle=\(\frac{b*h}{2}=\frac{10*2}{2} =10 in^{2}\)

Area of the rectangle = bh . The figure shows that:  the base = 10 in and the height =8 in

Thus,  A_rectangle=bh= 10*8=80 in²

A_total= A_triangle + A_rectangle

A_total= 10+80=90 in²

A_total= 90 in²

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Answer:

y=7x+26

Step-by-step explanation:

First we have to find the slope of the lines.

(-4,-2)      

(-3,5)    

Our slope is going to equal 7

then we take a point and use it to find the equation

y--2=7(x--4)

y+2=7x+28

y=7x+26

In 1990, the average person in the United States consumed approximately 0.000532 lb (or 0.24 grams) of artificial sweeteners per year, based on USDA data.

In 1990, according to the USDA, each person in the United States consumed an average of 133 lb of artificial sweeteners per year.
To calculate the average consumption of artificial sweeteners per person, you can divide the total consumption by the population of the United States in 1990.
Let's assume that the population of the United States in 1990 was 250 million people.
To find the average consumption per person, you would divide the total consumption of 133 lb by the population of 250 million people:
133 lb / 250,000,000 people = 0.000532 lb/person
Therefore, in 1990, the average person in the United States consumed approximately 0.000532 lb (or 0.24 grams) of artificial sweeteners per year.

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Answer:

10

Step-by-step explanation:

5 * 9 = 45

45 is the sum of all the ages added up

45 - (5 + 7 + 8 + 15) = 10

If two right triangles have congruent acute angles, then the triangles are similar.

Right Triangle Similarity Theorems are a set of geometric principles that relate to the similarity of right triangles.

Here are two examples of these theorems:

Angle-Angle (AA) Similarity Theorem:

According to the Angle-Angle Similarity Theorem, if two right triangles have two corresponding angles that are congruent, then the triangles are similar.

In other words, if the angles of one right triangle are congruent to the corresponding angles of another right triangle, the triangles are similar.

For example, if triangle ABC is a right triangle with a right angle at vertex C, and triangle DEF is another right triangle with a right angle at vertex F, if angle A is congruent to angle D and angle B is congruent to angle E, then triangle ABC is similar to triangle DEF.

Side-Angle-Side (SAS) Similarity Theorem:

According to the Side-Angle-Side Similarity Theorem, if two right triangles have one pair of congruent angles and the lengths of the sides including those angles are proportional, then the triangles are similar.

For example, if triangle ABC is a right triangle with a right angle at vertex C, and triangle DEF is another right triangle with a right angle at vertex F, if angle A is congruent to angle D and the ratio of the lengths of the sides AB to DE is equal to the ratio of the lengths of BC to EF, then triangle ABC is similar to triangle DEF.

These theorems are fundamental in establishing the similarity of right triangles, which is important in various geometric and trigonometric applications.

They provide a foundation for solving problems involving proportions, ratios, and other geometric relationships between right triangles.

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answer:

Dimensions of the matrix 1: 2 x 2

dimensions of the matrix 2: 1 x 2

To multiply two matrices, the number of columns in the first matrix must equal the number of rows in the second matrix, therefore the answer is

undefined

Answer:

$21,560.00

Step-by-step explanation:

SI = 14,000 x 0.06 x 9

SI = $7,560

$14,000 + $7,560 = $21,560.00

The correct equation for comparing the alternatives with a salvage value of $7,000 after 4 years and a MARR of 12% per year is b. PWX = -20,000 - 9000(P/A,12%,4) + 5000(P/F,12%,2) - 15000(P/F,12%,2).

The correct equation for the present worth (PW) when comparing the alternatives with a salvage value of $7,000 after 4 years and a MARR of 12% per year is:

b. PWX = -20,000 - 9000(P/A,12%,4) + 5000(P/F,12%,2) - 15000(P/F,12%,2)

This equation takes into account the initial cost of -$20,000, the cash inflow of $9,000 per year for 4 years (P/A,12%,4), the salvage value of $5,000 at the end of year 2 (P/F,12%,2), and the salvage value of $15,000 at the end of year 4 (P/F,12%,4).

Therefore, the correct option is b. PWX = -20,000 - 9000(P/A,12%,4) + 5000(P/F,12%,2) - 15000(P/F,12%,2).

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The surface area of the square base pyramid of slight height 6 inches is 36 in².

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

To calculate the surface area of the square base pyramid, we use the formula below.

Formula:

Where:

From the diagram,

Given:

Substitute these values into equation 1

Hence, the surface area is 36 in².

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Answer:

64

Step-by-step explanation:

well, from 1990 to 1998 is 8 years, and we know the amount went from $4800 to $6300, let's check for the rate of growth.

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$6300\\ P=\textit{initial amount}\dotfill &\$4800\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{years}\dotfill &8\\ \end{cases} \\\\\\ 6300=4800(1 + \frac{r}{100})^{8} \implies \cfrac{6300}{4800}=(1 + \frac{r}{100})^8\implies \cfrac{21}{16}=(1 + \frac{r}{100})^8\)

\(\sqrt[8]{\cfrac{21}{16}}=1 + \cfrac{r}{100}\implies \sqrt[8]{\cfrac{21}{16}}=\cfrac{100+r}{100} \\\\\\ 100\sqrt[8]{\cfrac{21}{16}}=100+r\implies 100\sqrt[8]{\cfrac{21}{16}}-100=r\implies \stackrel{\%}{3.46}\approx r\)

now, with an initial amount of $4800, up to 2007, namely 17 years later, how much will that be with a 3.46% rate?

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &4800\\ r=rate\to 3.46\%\to \frac{3.46}{100}\dotfill &0.0346\\ t=years\dotfill &17\\ \end{cases} \\\\\\ A=4800(1 + 0.0346)^{17} \implies A=4800(1.0346)^{17}\implies A \approx 8558.02\)

Answer:

1. b =1/2 (4)(3.5)

v=(14)(8)

2.b= 1/2 (9)(12)

V=(54)(13)

3.b= 1/2(7)(6.1)

v= (21.35)(9)

Answer:

6 23/3

6+7 2/3

13 2/3

Step-by-step explanation:

Like and follow

It depends, well, 5.. but there’s another way if you want to get a fraction. 2 1/3 + 1 1/2 + 2/3 + 1/2 = 5

But, if you use pemdas and kind of switch the problem up a bit,

Conversion a mixed number 2 1/

2

to a improper fraction: 2 1/2 = 2 1/

2

= 2 · 2 + 1/

2

= 4 + 1/

2

= 5/

2

To find a new numerator:

a) Multiply the whole number 2 by the denominator 2. Whole number 2 equally 2 * 2/

2

= 4/

2

b) Add the answer from previous step 4 to the numerator 1. New numerator is 4 + 1 = 5

c) Write a previous answer (new numerator 5) over the denominator 2.

Two and one half is five halfs

Conversion a mixed number 1 1/

3

to a improper fraction: 1 1/3 = 1 1/

3

= 1 · 3 + 1/

3

= 3 + 1/

3

= 4/

3

To find a new numerator:

a) Multiply the whole number 1 by the denominator 3. Whole number 1 equally 1 * 3/

3

= 3/

3

b) Add the answer from previous step 3 to the numerator 1. New numerator is 3 + 1 = 4

c) Write a previous answer (new numerator 4) over the denominator 3.

One and one third is four thirds

Subtract: 5/

2

- 4/

3

= 5 · 3/

2 · 3

- 4 · 2/

3 · 2

= 15/

6

- 8/

6

= 15 - 8/

6

= 7/

6

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(2, 3) = 6. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 3 = 6. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - five halfs minus four thirds = seven sixths.

The value of x is given as 2.045<133.158 deg

A complex number is a representation capable of being written as the combination of a and bi, where a and b exhibit themselves to be authentic numbers, while i stands as an imaginary unit that has been mathematically determined to calculate the result of -1 when squared.

The real part (a) of a complex number can be identified and contrasted against its imaginary contribution made by bi. By following certain regulations, these types of numbers are able to be increased, lessened, multiplied, and divided; providing a widely employed range of accurate calculations in mathematics, physics, engineering, and several other related fields.

Additionally, the complex plane offers a graphical means for displaying these numbers; wherein the real axis relates to the numerical form's real portion and the imaginary axis reflects the data's unreal part.

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Answer:

no solution

Step-by-step explanation:

y = x+1 and y = x + 2 don't touch because they are parallel

if you don't know what parallel means, just search it up, but i can explain it to you:

parallel means same slope or same steepness of line

Answer:

y=4

Step-by-step explanation:

The x axis is a horizontal line ( y=0)

A line parallel would also be of the form y= something  and be a horizontal line

The only answer of the form y=   is y=4

Answer:

(0,0) (-1,-1)

Step-by-step explanation:

Step-by-step explanation:

n = 0

because,

p^0 = 1

10000000^0 = 1

a).The bearing of point A from B is 234°.

b). The bearing of point B from point A is 054°.

Bearing is usually measured in degrees, with 0° indicating the reference direction (usually North), and increasing clockwise to 360°. It refers to the direction or angle between a reference direction and a point or object.

The bearing of point A from B is the angle measured from the north of B to the straight line distance between A and B which is 234°. While the bearing of point B from point A is the angle measure starting from the north of A to the straight line distance between A and B which is 054°.

Therefore, the bearing of point A from B is 234° while the bearing of point B from point A is 054°.

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Step-by-step explanation:

when f=9, g=-3, then