Find the GCF of the monomials 118a^2 and 121b^2.

when expanded from left to right the powers of x decrease from 5 to 0 and powers of y increase from 0 to 5

substitute x =2x and y = 5

(2x + 5)⁵ = (2x)⁵ + 5(2x)⁴5 + 10(2x)³5² + 10(2x)²5³ + 5(2x)5⁴ + 5⁵

Charley needs an APR of 5.44% compounded semiannually to reach his goal of $950,000 in a year.(A)

Given:

Final Amount (A) = $950,000

Principal Amount (P) = $900,000

Time (t) = 1 year

We use the compound interest formula: A = [tex]P(1 + r/n)^{(nt)[/tex]

Option A: 5.44% APR compounded semiannually

APR (r) = 0.0544

Compounding periods per year (n) = 2

Plugging in the values, we get: A = 900,000[tex](1 + 0.0544/2)^{(2*1)[/tex]≈ $949,999 (which is approximately $950,000)

Option B: 5.42% APR compounded monthly

APR (r) = 0.0542

Compounding periods per year (n) = 12

Plugging in the values, we get: A = 900,000[tex](1 + 0.0542/12)^{(12*1)[/tex] ≈ $949,941 (less than $950,000)

Option C: 5.34% APR compounded daily

APR (r) = 0.0534

Compounding periods per year (n) = 365

Plugging in the values, we get: A = 900,000[tex](1 + 0.0534/365)^{(365*1)[/tex] ≈ $949,591 (less than $950,000)

Option D: 5.43% APR compounded quarterly

APR (r) = 0.0543

Compounding periods per year (n) = 4

Plugging in the values, we get: A = 900,000[tex](1 + 0.0543/4)^{(4*1)[/tex] ≈ $949,980 (missing the goal by a small amount)

Conclusion: The correct option is 5.44% compounded semiannually as it allows Charley to reach his goal of $950,000.

 the  sine and cosine  are co-functions

So

sin (theta) = cos (90 - theta)------> This implies that  the angles sum to 90°

therefore

( x + 22)  + (2x - 7)  =  90    simplify

3x + 15  = 90     subtract  15 from both sides

3x  =  75      divide both sides by 3

x  = 25

 The answer Part 1) is x=25°

 Part 2) Given cos x=12/13 and sin x =5/13

What is ratio for ​ tanx ​ ?

 we know that

tan x = sinx / cos x

tan x  =   (5/13) / (12/13)   =  (5/13) * (13/12)  =  5/12

the answer Part 2) is 5/12

Answer:

5,274 in.2

Step-by-step explanation:

Find the area of both the shaded and not shaded regions.

Shaded: 8 ft x 12 in = 96    5 ft x 12 in = 60

Then: 96 in x 60 in = 5760

Not Shaded: 27 in x (36 / 2) 18 in = 486

Then Subtract The Not Shaded Region From The Shaded Region:

5,760 - 486 = 5,274

Answer: 5 bags

Step-by-step explanation:

The tax has only made Susan worse off by $10 or 5.7% because Rebecca is the one who is going to pay for the dog sitting and not Susan (who is going to have an income of $165 after-tax).

Further Explanation:

Income Tax: It is the additional payment that an individual needs to pay on the amount of income he/she generates. Here $10 is the tax on the income which Susan is going to generate by dog sitting the dog of Rebecca.

Here, it can be seen that Susan is the one who is earning from the transaction and not Rebecca. So, Rebecca is should not bear any tax payable to the government since both of them agree to a price of $175 so that is the only amount which Rebecca is going to pay for dog sitting. Also, if Susan herself pays the whole amount of tax, it still would not bother her because her expectation from dog sitting was $150 which is still lesser than what she expected in the first place.

Learn more:

1. Learn more about the tax on the profit from selling the fixed assets

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2. Learn more about the personal tax

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3. Learn more about the role of money

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Answer details:

Grade: Senior School

Subject: Taxation

Chapter: Tax imposed on various services.

Keywords: Income tax, payment of tax, dog sitting during the wedding, dog sitter, worse off condition of Rebecca and Susan.

Answer:

The real answer is 846 ^-^ I got it right

The volume of the rectangular prism is 105.57

A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.

The volume of a rectangular prism=Length X Width X Height

Where l, h and w represent the length, height and width respectively.

Given that;

Length of the prism is 2 times the width L = 2w

the width is 4 times the height  w = 4h

Now let’s plug these values;

the surface area equation, it becomes;

A = 2(2w(w) + w(w/4) + w/4(2w))

A = 2(2w^2 + w^2/4 + w^2/2)

A = 1/2(7w^2)

792 x2 = 7w^2

w = 15.04

The volume of a rectangular prism=Length X Width X Height

V = 2w x w x w/4

V x 2 = w³

V = 15.04³/2

V = 105.57

Thus, the volume is 105.57.

Learn more about a rectangular prism;

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Answer:

C.),F.),andD.) Are correct

Step-by-step explanation:

Option: C, D and F are the correct options.

C.   [tex](\dfrac{36}{4})^x[/tex]

D.   [tex]9\cdot 9^{x-1}[/tex]

F.  [tex]\dfrac{36^x}{4^x}[/tex]

We are asked to find the expression which is equivalent to:

                                        [tex]9^x[/tex]

C)

 [tex](\dfrac{36}{4})^x[/tex]

We know that:

[tex](\dfrac{36}{4})^x=9^x[/tex]

Since, 36/4=9

Hence, option: C is correct.

D)

[tex]9\cdot 9^{x-1}=9^{1+x-1}[/tex]

Since,

[tex]a^m\cdot a^n=a^{m+n}[/tex]

Hence,

[tex]9\cdot 9^{x-1}=9^x[/tex]

Hence, option: D is correct.

F)

[tex]\dfrac{36^x}{4^x}[/tex]

We know that:

[tex]\dfrac{36^x}{4^x}=(\dfrac{36}{4})^x[/tex]

Since, we know that:

[tex]\dfrac{a^n}{b^n}=(\dfrac{a}{b})^n[/tex]

Hence, we have:

[tex]\dfrac{36^x}{4^x}=9^x[/tex]

Since, 36/4=9

Hence, option: F is the correct answer.

Answer:

Arc length = 32.97 m .

Step-by-step explanation:

Given : In a circle with a radius of 6 m, an arc is intercepted by a central angle of 7π/4 radians and use 3.14 for π .

To find : What is the arc length.

Solution : We have given a circle of radius = 6 m

                                              Central angle  = 7π/4

Formula of arc length = radius  × central angle .

           Arc length  = 6 × ([tex]\frac{7(3.14)}{4}[/tex]).

           Arc length = 32.97 m .

Therefore,  Arc length = 32.97 m .

Answer:

c i would think/suppose

Step-by-step explanation:

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

x + y = 5

x + y = 6

5 ≠ 6

The system of equations has many solutions.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 is an equation.

2x + 4 - 5x is an equation.

We have,

x + y = 5 _____(1)

x + y = 6 ______(2)

Now,

Solving (1) and (2) we get,

5 = 6

This is not true.

This means that,

We have many solutions.

If we get,

x = y

0 = 0

n = n ( n can be any value)

The system of equations will have no solutions.

Thus,

x + y = 5

x + y = 6

5 ≠ 6

The system of equations has many solutions.

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It's 25 easy how I got my answer I looked on my fingers and put 5 fingers up and i did it 5 times and got 5.10.15.20.25 that's 5 times

The answer would be 53.9

Answer: $475

Step-by-step explanation:

Given : A seller buys an item from a manufacturer for $9,500 he increases cost by %5 percent.

i.e. The original cost of item = $9,500

Mark up percentage = 5% = 0.05

The formula given to find the mark up value is :_

[tex]\text{Mark up}=\text{Original cost * percentage mark up}\\\\\Rightarrow\ \text{Mark up}=9500\times0.05=\$475[/tex]

Hence, the mark up value = $475

Devin borrowed $1,058 at 13 percent for nine months.

We have to calculate the interest paid.

Interest = [tex] \frac{P \times R \times T}{100} [/tex]

Substituting the values of

Principal = $1058

Rate = 13%

Time = 9 months = [tex] \frac{9}{12} [/tex] year

Interest = [tex] \frac{1058 \times 13 \times 9}{12 \times 100} [/tex]

Interest = 103.155

= 103.16

So, Devin will pay 103.16 as the interest.

Therefore, Option A is the correct answer.

Answer:

220cos40

Step-by-step explanation:

cos40=x/220

(220)cos40=x/220(220)

220cos40=x

Vertex: (0, 0); Focus: (0, -10); Directrix: y = 10; Focal width: 10

2. C) y equals negative 1 divided by 8 x squared

3. D) x equals negative 1 divided by 32 y squared

4. C) x2 = -5.3y

5. C) Center: (0, 0); Vertices: (0, -15), (0, 15); Foci: (0, -12), (0, 12)

6. None from the choices, it should be

Center: (0, 0); Vertices: the point negative two square root two comma zero and the point 2 square root two comma zero; Foci: Ordered pair negative square root 6 comma zero and ordered pair square root 6 comma zero

7. B) A vertical ellipse is shown on the coordinate plane centered at the origin with vertices at the point zero comma seven and zero comma negative seven. The minor axis has endpoints at negative six comma zero and six comma zero.

8. D) x squared divided by 16 plus y squared divided by 25 equals 1

9. D) Vertices: (1, -1), (-11, -1); Foci: (-15, -1), (5, -1)

Answer:

the answer is letter C

Step-by-step explanation: