The available interest rate on a $200,000 house is 7% per year. What are the
monthly payments for a 30 year loan and 15 year loan?

Answer:

The measure of the vertex angle is 94 degrees ⇒ A

Step-by-step explanation:

∵ In an isosceles triangle, the measure of the base angle = (2x + 5)

∵ The base angles of the isosceles triangles are equal in measures

∴ The measures of the base angles are (2x + 5), (2x + 5)

∵ The measure of the vertex angle = (5x - 1)

∵ The sum of the measure of the three angles = 180°

∴ (2x + 5) + (2x + 5) + (5x - 1) = 180

→ Add the like terms in the left side

∵ (2x + 2x + 5x) + (5 + 5 + -1) = 180

∴ 9x + 9 = 180

→ Subtract 9 from both sides

∴ 9x + 9 - 9 = 180 - 9

∴ 9x = 171

→ Divide both sides by 9 to find x

∴ x = 19

→ Substitute the value of x in the measure of the vertex angle to find it

∵ The measure of the vertex angle = 5x - 1

∴ The measure of the vertex angle = 5(19) - 1

∴ The measure of the vertex angle = 95 - 1

∴ The measure of the vertex angle = 94°

∴ The measure of the vertex angle is 94 degrees

The mean number of misprints per page on manuscript is 0.5 and If a page is selected then the probability that it has 3 misprints is 0.0126..

The Poisson distribution is a theoretical discrete probability, also known as the Poisson distribution probability mass function. It is used to find the probability that independent events occur at regular time intervals and have a constant average rate. λ is the Poisson rate parameter, the expected average number of events over a given time interval.

Using the Poisson distribution formula:

P(X = x) = (e-λ (λˣ) )/x!

where λ is mean number or poisson rate parameter ; x = 0, 1, 2, 3...

e is the Euler's number(e = 2.718)

We have given that,

Total number of Manuscript Pages = 400

total misprinted pages = 200

let X be random variable that the page is misprinted .

Mean number, λ = 200/400 = 0.5

the probability that it has 3 misprints, P(X= 3) = (e⁻⁰·⁵ (0.5)³ )/3!

= e⁻⁰·⁵ ( 0.125 )/6 =0.075816/6 = 0.0126

Hence, the required probability is 0.0126..

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Complete question:

Misprints on Manuscript Pages In a 400-page manuscript, there are 200 randomly distributed misprints Part 1 of 2 Find the mean number of misprints per page. Round the answer to one decimal place as needed. If a page is selected, find the probability that it has 3 misprints.

Carys is reviewing her tax bill for the previous year to ensure accuracy and compliance with tax regulations.

Carys checking a tax bill for the last year involves reviewing and verifying the information related to her tax obligations and payments for that specific year. This process typically includes several steps:

Gathering relevant documents: Carys would collect all the necessary documents, such as income statements (W-2 or 1099 forms), expense receipts, investment statements, and any other relevant financial documents.

Reviewing income sources: Carys would examine all the sources of income she received during the year, including employment income, self-employment income, rental income, investment income, etc. She would ensure that all income sources are accurately reported and accounted for.

Deductions and credits: Carys would assess if she is eligible for any deductions or tax credits that can reduce her taxable income or provide tax benefits. These may include deductions for expenses like mortgage interest, medical expenses, education expenses, and credits such as the Child Tax Credit or the Earned Income Tax Credit.

Calculating taxable income: Carys would determine her taxable income by subtracting eligible deductions and adjustments from her total income. This step helps in determining the portion of income that is subject to taxation.

Applying tax rates: Carys would review the applicable tax brackets and rates to calculate her income tax liability based on her taxable income. Different income levels are subject to different tax rates, and Carys would ensure she is applying the correct rates.

Checking for errors: Carys would carefully review all calculations and entries on her tax return to identify any errors or discrepancies. This includes verifying that all income, deductions, and credits are accurately reported and that the final tax liability is correctly calculated.

Filing the tax return: Once Carys is satisfied with the accuracy of her tax bill, she would file her tax return with the appropriate tax authority, such as the Internal Revenue Service (IRS) in the United States. This step involves submitting the required forms and supporting documents to report her income and claim any applicable deductions or credits.

By going through these steps, Carys can ensure that her tax bill for the last year is accurate, complete, and in compliance with the tax regulations and laws of her jurisdiction.

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A quadratic equation is an algebraic equation of the second degree.

A quadratic equation is of the form:

This can also be written as:

Comparing the equation above with each of the options, the equation that represents a quadratic function is:

The graph of the equation y = 6 + 5x + x^2 is plotted below

Using pythagoras theorem to find the distance between two points in a coordinate:

To calculate the distance between the points AB = hypotenuse

Therefore the distance between the points in the coordinate system = 4√2

Answer:

x=2 4/5

Step-by-step explanation:

3x-7=x/2

Multiply each side by 2

2(3x-7)=x

6x-14=x

Add 14 to each side

6x=x+14

Subtract 1x from each side

5x=14

Divide each side by 5

X=14/5 or 2 4/5

The number of hours to complete the order is 64.

We have four fudge machines. The four fudge machines, working simultaneously, complete a big order in 32 hours. We know that all the machines work at the same speed.

If only half of the machines will work, then the time taken will be double. This is an inversely proportional relationship. An inverse proportion connection is a sort of proportionality relationship. When two quantities are inversely proportionate, one grows while the other falls.

T = 32/(1/2)

T = 32×2

T = 6

Hence, the order will take 64 hours to be completed if only two machines are working.

The complete question is given below.

Working simultaneously, four fudge machines complete a big order in 32 hours. All the machines at the fudge factory work at the same pace. If only half of the machines are working, in how many hours will the order be complete?

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His total earnings for a total sale of 7,000​ could be 1450sh

From the question, we have the following parameters that can be used in our computation:

Salary = 400

Commission = 15%

using the above as a guide, we have the following:

Total earnings = 400 + 15% * Total sales

So, we have

Total earnings = 400 + 15% * 7000

Evaluate

Total earnings = 1450

Hence, the total earnings is 1450

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Question

Simon earned 400sh weekly for goods sold and a commission of 15%

What could be his earnings for a total sale of 7,000​.

Answer: A

Step-by-step explanation:

Our given equation is: y = -2x - 8

In order to have an equation with infinitely many solutions, it needs to be the same as the given equation.

Look at the answer choices:

A) y = -(2x + 8) = -2x - 8

This is the exact same equation, which means that any solutions for the given will also be solutions for this one. That means there will be infinitely many solutions.

B) y = -2(x - 8) = -2x + 16

We can tell this is definitely not the same as the given, so eliminate.

C) y = -2(x - 4) = -2x + 8

Again, this has a +8 instead of -8, so it's not the same and wrong.

D) y = -(-2x + 8) = 2x - 8

Here, we have positive 2 as the slope instead of -2, so it's not the same and wrong. Thus, the answer is A.

You're missing a 0 in the second answer. It should be 1 divided by the number you found before, 1/10,000.

Then the probability of not getting it right on the first try is 1 - 1/10,000 = 9,999/10,000.

To find the value of x, we can set the two angle measures equal to each other and solve for x.

Given:

mZA = (4x - 2)°

mZB = (6x - 20)°

Setting them equal to each other:

4x - 2 = 6x - 20

Now, we can solve for x:

4x - 6x = -20 + 2

-2x = -18

Dividing both sides by -2:

x = -18 / -2

x = 9

Therefore, the value of x is 9.

Answer:

The answer is 9.

Step-by-step explanation:

We need to use the fact that the sum of the angles in a triangle is 180 degrees. Let A, B, and C be the three angles in the triangle. Then we have:

mZA + mZB + mZC = 180°

Substituting the given values, we get:

(4x - 2)° + (6x - 20)° + mZC = 180°

Simplifying the left side, we get:

10x - 22 + mZC = 180°

Next, we use the fact that angles opposite congruent sides of a triangle are congruent. Since we know that segment AC and segment BC are congruent, we have:

mZA = mZB

Substituting the given values and simplifying, we get

4x - 2 = 6x - 20

Solving for x, we get:

x = 9

Therefore, the value of x is 9.

Answer:

Both processes will yield same results and he need not worry

Step-by-step explanation:

Let us firstly check if we will have same results on both steps

y before x

Let us have the point (x,y) on the triangle

y reflection

(-x,y)

then x reflection

(-x,-y)

Let us now get the order in which my friend followed

x reflection

(x, -y)

y reflection

(-x,-y)

we can see that both processes have same results and thus, my friend need not worry

Answer:

The order of these two reflections  

does not

matter. The resulting image  

is

the same for a reflection in the y-axis followed by a reflection in the x-axis as for a reflection in the x-axis followed by a reflection in the y-axis.

Step-by-step explanation:

Answer:

- 5/8

Step-by-step explanation:

Step-by-step explanation:

3.5 inches will be the answer

1. selection of index number: during the construction of index number it is to be kept in mind that the selection of the index number should be correct accordingly.

2. selection of formula: while the construction of index numbers it is compulsory to select the correct formula for the given question.

3. selection of price: selection of prices should be done accordingly while constructing the index numbers.`

construction of index number is also available in two parts:

1. simple

2. weighted

1. simple: the simple method is classified into simple aggregative and simple relative.

2. weighted: the weighted method is classified into a weighted aggregative and weighted average.

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Answer: the 2 time

Step-by-step explanation:

Answer:

He ate more in the second. In the second he ate half the pizza however in the first he only ate an eight of the pizza, which is significantly less than half. The higher the denomitor with these questions, the less, the lower, the more.

Step-by-step explanation:

Opposite of an integer on the number line is the same integer with opposite sign

what is number line ?

The visual representation of numbers on a straight line is called a number line. On an endless line that extends on both sides, either horizontally or vertically, this line is used to compare numbers that are spaced at equal intervals. The numbers on a horizontal number line grow as we approach towards the right side and drop as we move towards the left.

The number line's opposite of the integer "a" is "-a"; hence, the opposite of the integer "-a" is "a" on the number line, but on the other side of 0.

For example,

The number line's opposite of the integer "4" is "-4"

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The value of x in the polygon will be 13.25 degrees.

The value of x is 10.

We can find the value of x by plugging in the number of sides of the regular polygon into the formula x = (n-2)*15° - 1.

The sum of the interior angles of a regular polygon with n sides is (n-2) x 180 degrees.

Sum of angles = (24-2) x 180 = 22 x 180 = 3960 degrees

Since all the angles in a regular polygon are congruent, we can divide the sum of the angles by the number of angles to find the measure of one angle:

Measure of one angle = 3960/24 = 165 degrees

165 = 12x + 6

159 = 12x

x = 13.25

Therefore, the value of x is 13.25 degrees.

Each of the triangles in our decomposition has one angle equal to (17x+2)°, so the sum of all the angles in the triangles is 43 × (17x+2)° = 731x+86°.

Therefore, we have:

731x+86° = 7380°

Solving for x, we get:

731x = 7294°

x = 10

Therefore, the value of x is 10.

The equation that can be used to find the value of x is:

(9x+48)° + (15x-24)° = (n-2)*180°

24x + 24 = (n-2)*180°

Dividing both sides by 24, we get:

x + 1 = (n-2)*15°

Subtracting 1 from both sides, we get:

x = (n-2)*15° - 1

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EXPLANATION

Let's see the facts:

Investment = Principal = P = 4,000

Interest rate = r = 4% = 0.04 (decimal form)

n= number of times the interest rate is compounding per unit of t = 365

t= time = 8

The compounding interest formula is:

Replacing terms:

Adding numbers:

Solving the power:

Multiplying numbers:

The answer is $5,508

Answer:

9.6 m

Step-by-step explanation:

let 'x' be distance traveled

196 = 3.14(6.5)x

196 = 20.41x

x = 196/20.41

x = 9.6

Answer:

6x^2 - 32x + 10

Step-by-step explanation:

I used the FOIL method of factoring. Hope this helps!

Answer:

x = 30°

y = 60°

z = 96°

Step-by-step explanation:

Well the angle from the center that intercepts 120° is equal to 120° since it is a central angle.

y = 60° because oof supplementary angles.

The measure of z is 48 * 2 because the 48° is an inscribed angle.

z = 96°

And, the arc that angle y intercepts is also the arc the x intercepts.

That arc is 60° because 180° - 120° = 60°

x is an inscribed angle, so x = 1/2 * 60°

x = 30°

Hope this helps.

Answer:

Step-by-step explanation:

9.50 ÷ 1 = 9.50

18 ÷ 2 = 9.50

28.50 ÷ 3  = 9.50

38 ÷ 4 = 9.50

47.50 ÷ 5 = 9.50

Direct variation is the relationship between tow variables in which one is a constant multiple of other.

Here, If we take hours worked as 'x' and pay as 'y',

y = 9.50*x

Part A: β₂ = β₁ + 10 log₁₀ (f)

Part B: Δβ = 20 log10 (d₁/d₂)

This can be solved using the concept of sound intensity.

While amplitude is the distance between a wave's resting position and its crest, sound intensity is defined as the sound power per unit area. The power carried by sound waves per unit area in a direction perpendicular to that region is known as sound intensity or acoustic intensity. The watt per square metre is the SI measure of intensity that includes sound intensity.

Part A:

β₂ - β₁ = 10 log₁₀ (I₂/I₁)

given that : I₂ = f × I₁

hence, I₂/I₁ = f

so the equation becomes:

β₂ - β₁ = 10 log₁₀ (f)

β₂ = β₁ + 10 log₁₀ (f)

Part B:

P = Power by the source

I₁= intensity at distance d1 = P/(4πd₁²)

I₂ = intensity at distance d2 = P/(4πd₂²)

Δβ = β₂ - β₁ = 10 log₁₀ (I₂/I₁)

β₂ - β₁ = 10 log₁₀ ((P/(4πd₂²))/(P/(4πd₁²)))

Δβ = 10log₁₀  ((d₁/d₂)²)

Δβ = 20log₁₀ (d₁/d₂)

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Answer:

26) 70

27) 12.86 sec

28) 350 feet

Step-by-step explanation:

26) Given points A(0, 0) and B(16, 1120)

slope m = \(\frac{y_2-y_1}{x_2-x_1}\)

\(=\frac{1120-0}{16-0}\\ \\=\frac{1120}{16}\\ \\=70\)

slope = 70

27) eq of a line is :

y = mx + c

y = 70x + c

Since the line passes through A(0,0) substituting the points in the equation,

0 = 70(0) + c

⇒ c = 0

eq of line: y = 70x

given distance is 900 ft

y = distance and x = time

⇒ y = 900

sun in eq,

900 = 70x

⇒ x = 900/70

⇒ x = 12.86

28) time is 5 sec

⇒ x = 5

sub in eq

y = 70(5)

⇒ y = 350

Answer:

the answer to the first question is the first one and the second answer might be the second one

Answer:

Cost for each pound of jelly beans:  $2.75

Cost for each pound of almonds:  $3.75

Step-by-step explanation:

Let J be the cost of one pound of jelly beans.

Let A be the cost of one pound of almonds.

Using the given information, we can create a system of equations.

Given 3 pounds of jelly beans and 5 pounds of almonds cost $27:

\(\implies 3J + 5A = 27\)

Given 9 pounds of jelly beans and 7 pounds of almonds cost $51:

\(\implies 9J + 7A = 51\)

Therefore, the system of equations is:

\(\begin{cases}3J+5A=27\\9J+7A=51\end{cases}\)

To solve the system of equations, multiply the first equation by 3 to create a third equation:

\(3J \cdot 3+5A \cdot 3=27 \cdot 3\)

\(9J+15A=81\)

Subtract the second equation from the third equation to eliminate the J term.

\(\begin{array}{crcrcl}&9J & + & 15A & = & 81\\\vphantom{\dfrac12}- & (9J & + & 7A & = & 51)\\\cline{2-6}\vphantom{\dfrac12} &&&8A&=&30\end{array}\)

Solve the equation for A by dividing both sides by 8:

\(\dfrac{8A}{8}=\dfrac{30}{8}\)

\(A=3.75\)

Therefore, the cost of one pound of almonds is $3.75.

Now that we know the cost of one pound of almonds, we can substitute this value into one of the original equations to solve for J.

Using the first equation:

\(3J+5(3.75)=27\)

\(3J+18.75=27\)

\(3J+18.75-18/75=27-18.75\)

\(3J=8.25\)

\(\dfrac{3J}{3}=\dfrac{8.25}{3}\)

\(J=2.75\)

Therefore, the cost of one pound of jelly beans is $2.75.

Answer:

A f(x + 1) = ⅚ f(x)

each subsequent y is 5/6 of the previous y

so when

x is 1

y is 1296

when

x is 2 (x+1)

y is 1080 (5/6 of 1296)

when

x is 3 (x+1 or 2+1)

y is 900 (5/6 of 1080)

Step-by-step explanation:

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The function which represent the graphical geometric sequence is given by f ( x + 1 ) = ( 5/6 ) f ( x )

A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.

The nth term of a GP is aₙ = arⁿ⁻¹

The general form of a GP is a, ar, ar2, ar3 and so on

Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )

Given data ,

Let the first term of the GP be a₁ = 1296

Let the second term of the GP be a₂ = 1080

So , the common ratio r = second term / first term

r = 1080 / 1296

r = 5/6

So , the geometric progression is given by the relation

aₙ = a ( 5/6 )ⁿ⁻¹

So , the function is represented by f ( x + 1 ) = ( 5/6 ) f ( x )

Hence , the GP is f ( x + 1 ) = ( 5/6 ) f ( x )

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Answer:

0.46

Step-by-step explanation:

42.78/m = 93

=> m = 42.78/93

=> m = 0.46

Hope my answer helps :)

Answer:

the answers D

Step-by-step explanation:

just times the bottom and top number together and to re check divide the value by any number already given in question