Find the monthly payment needed to amortize principle and interest for the fixed rate mortgage. use either the regular monthly payment formula.


Loan amount $121,000 Interest rate 5.6% Term 25 years


PLEASE HELP!!!

The results for several randomly selected employees are given below \(Y = 11.7 + 1.02x.\)

Below, we will discover the road equation, dissociation for each the management's conduct and fulfillment.

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The z values corresponding to the areas of 0.8962, 0.4738, and 0.0239 are 1.24, 0.05, and -1.98, respectively.

To find the z value corresponding to the area of 0.8962, 0.4738 and 0.0239, we can use the standard normal distribution table.

Standard Normal Distribution Table

The standard normal distribution table provides the area under the normal curve to the left of z-score.

The standard normal distribution table shows the area under the standard normal distribution curve from the left side of the mean to the z-score.

For each of the values, we need to locate the corresponding area in the standard normal distribution table.

The intersection of the row and column corresponding to the area value gives the z value.

Using the standard normal distribution table, we get the following values:

For the area of 0.8962, the z value is 1.24.

For the area of 0.4738, the z value is 0.05.

For the area of 0.0239, the z value is -1.98.

Thus, the z values corresponding to the areas of 0.8962, 0.4738, and 0.0239 are 1.24, 0.05, and -1.98, respectively.

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The object whose distance is three times its displacement is object Z.  

The distance is defined as a scalar quantity representing the total distance traveled.

Displacement is a vector representing the distance between the end and start points.

Distance, Displacement, Ratio To calculate r = 3

Object    Motion                                    Distance     Displacement  ratio

 X          3 units left, 3 units right        3 + 3 = 6       3 - 3 = 0            ∞

 Y          6 units right, 18 units right    6 + 18 = 24    6 + 18 = 24       1

 W         8 units left, 24 units right      8 + 24 = 32   -8 + 24 = 16     2

 Z          16 units right, 8 units left       16 + 8 = 24    16 - 8 = 8         3

Ratio is calculated by dividing the distance by the displacement.

distance/displacement.

For object Z it is 24/8 = 3. So the object whose distance is three times its displacement is object Z.  

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First statement is correct. If Sasha reads her novel for 94 minutes, she meets the minimum reading requirement without reading any of the autobiography.

Given,

The rate of reading of a novel by Sasha = 0.8 pages per minute

The rate of reading of autobiography by Sasha = 0.5 pages per minute

The reading requirement of Sasha's English class = atleast 75 pages per week

The given equation: 0.8n + 0.5a ≥ 75

n is the number of minutes she reads the novel

a is the number of minutes she reads the autobiography

Now, let's check the statements:

Statement 1: If Sasha reads her novel for 94 minutes, she meets the minimum reading requirement without reading any of the autobiography.

That is,

0.8 × 94 + 0.5 × 0 ≥ 75

75.2 ≥ 75

This statement satisfies the equation.

Other 4 statement didn't satisfy the equation.

So, first statement is correct.

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Answer:

77/15, -376/15

Step-by-step explanation:

We have two equations:

13x = -85 - y     (equation 1)

2x = -8 - y       (equation 2)

We can rewrite equation 1 as:

y = -85 - 13x

Substituting this expression for y into equation 2 gives:

2x = -8 - (-85 - 13x)

Simplifying this expression:

2x = 77 - 13x

Adding 13x to both sides:

15x = 77

Dividing by 15:

x = 77/15

Substituting this value of x into equation 1 gives:

y = -85 - 13(77/15) = -376/15

Therefore, the solution to the system of linear equations is:

x = 77/15, y = -376/15

So, the values of x and y separated by a comma are:

77/15, -376/15

Answer:

\(ax - y + z = b \\ ax = b + y - z \\ \\ x = \frac{ b + y - z }{a} \)

I hope I helped you^_^

Answer:

z ≈ 145.62

Step-by-step explanation:

using the sine ratio in the right triangle

sin18° = \(\frac{opposite}{hypotenuse}\) = \(\frac{45}{z}\) ( multiply both sides by z )

z × sin18° = 45 ( divide both sides by sin18° )

z = \(\frac{45}{sin18}\) ≈ 145.62 ( to the nearest hundredth )

The length of the ladder is approximately 12.7 feet. To solve this problem, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the ladder is the hypotenuse, the distance from the bottom of the ladder to the house is one leg, and the distance from the bottom of the ladder to the ground is the other leg. Let's call the length of the ladder "x" and the distance from the house "a". Then we have:

x^2 = a^2 + 12^2

We want to solve for x, so we can isolate it on one side of the equation:

x = sqrt(a^2 + 12^2)

We don't know the value of "a" in this problem, so we can't find the exact length of the B. However, we can use the given information to set up an equation and solve for the length rounded to the nearest tenth:

a + x = 17  (since the ladder reaches 12 feet up and we know it is 17 feet long in total)

x = 17 - a

x^2 = a^2 + 12^2

(17 - a)^2 = a^2 + 144

289 - 34a + a^2 = a^2 + 144

34a = 145

a = 4.26 (rounded to the nearest tenth)

x = 17 - 4.26 = 12.74 (rounded to the nearest tenth)

Therefore, the length of the ladder is approximately 12.7 feet.

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Volume of the cylinder = 1130.4 m³

volume of the cylinder = 1780.4 m³

Volume of cylinder = πr²h

1) diamter = 12 m

diameter = 2(radius)

radius = diamter/2 = 12/2 = 6 m

height = h = 10m

let π = 3.14

Volume of the cylinder = 3.14 × 6² × 10

Volume of the cylinder = 1130.4 m³

2) radius = 9 in

height 7 in

Volume of cylinder = πr²h

Volume of the cylinder = 3.14 × 9² × 7

Volume of the cylinder = 1780.38

To the nearest tenth, volume of the cylinder = 1780.4 m³

The total differential of the function \(\(f(x, y) = x^2 e^{2y} + y \ln(x)\)\) is:

\(\[df = (2x e^{2y} + \frac{y}{x})dx + (2x^2 e^{2y} + \ln(x))dy\]\)

To obtain the total differential of the function \(\(f(x, y) = x^2 e^{2y} + y \ln(x)\)\), we can compute the partial derivatives with respect to each variable and then express the total differential \(\(df\)\) as the sum of the differentials of each variable multiplied by their respective partial derivatives.

Let's calculate it step by step:

1. Calculate the partial derivative with respect to x, denoted as \(\(\frac{\partial f}{\partial x}\)\):

\(\[\frac{\partial f}{\partial x} = 2x e^{2y} + \frac{y}{x}\]\)

2. Calculate the partial derivative with respect to y, denoted as \(\(\frac{\partial f}{\partial y}\)\):  \(\[\frac{\partial f}{\partial y} = 2x^2 e^{2y} + \ln(x)\]\)

3. Express the total differential \(\(df\)\) using the calculated partial derivatives:

 \(\[df = \frac{\partial f}{\partial x}dx + \frac{\partial f}{\partial y}dy\]\)

Substituting the values of the partial derivatives we obtain the total  total differential of the function \(\(f(x, y) = x^2 e^{2y} + y \ln(x)\)\) as:

\(\[df = (2x e^{2y} + \frac{y}{x})dx + (2x^2 e^{2y} + \ln(x))dy\]\)

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Option B "Perpendicular Lines"  is correct.

"Perpendicular Lines" are two lines that intersect at a right angle, forming 90-degree angles between them. Thus, Option B holds the truth.

Perpendicular lines are a fundamental concept in geometry and they are defined as two lines that meet at a right angle; forming four 90-degree angles. This means that the slopes of the two lines are negative reciprocals of each other. Perpendicular lines are important in many areas of mathematics and physics because they allow us to calculate angles, distances and other geometric properties.

Perpendicular lines are useful in many practical applications such as: architecture, engineering and construction. By understanding the properties of perpendicular lines, one can better understand the geometry of our world and solve real-world problems.

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Answer:

Step-by-step explanation:

Isolate the term of x and y from one side of the equation.

⇒ x+2y=11

⇒ x=11-2y

Substitute.

4(11-2y)-y=8

Solve.

Distributive property:

⇒ A(B+C)=AB+AC

4(11-2y)

4*11=44

4*2=8

Rewrite the problem down.

44-9y=8

Subtract by 44 from both sides.

44-9y-44=8-44

Solve.

-9y=-36

Divide by -9 from both sides.

-9y/-9=-36/-9

Solve.

-36/-9=4

y=4

Substitute of y=4.

⇒ x=11-2*4

Use order of operations.

PEMDAS stands for:

11-2*4

Multiply.

2*4=8

Rewrite the problem down.

11-8

Subtract.

11-8=3

x=3

I hope this helps you! Let me know if my answer is wrong or not.

Step-by-step explanation:

Area of the cube : 6a²

6 ( 3/5)²

6 (9/25)

54/25

54/25 = 2.16

Answer: 60 + 4.50n ≥ 250

Step-by-step explanation:

The salesperson makes 60 dollars a week. They want to make a minimum of $250 so that means it needs this sign "≥". They make $4.50 per sale, but we don't know how many sales they made, which is the "n".

The measure of central tendency that is used by the professor is; Mode

A measure of central tendency is defined as a single value that attempts to describe a set of data by identifying the central position within that set of data. The types of measures of central tendency are;

1) Mean; This is defined as the average value of a given set of data.

2) Median: This is defined as the midpoint of a frequency distribution of observed values or quantities, such that there is an equal probability of falling above or below it.

3) Mode: This refers to the value in a given set of data that has highest occurrence frequency.

In this case, the professor notes that most students in his class earned a grade of b. Thus, this is the mode.

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Answer:

If it is an annual percentage rate: 8.4 months

Step-by-step explanation:

2500 x .07 = 175

175 / 250 = .7 / 12months = 8.4 months

Answer: D

Step-by-step explanation: common sense

Answer:

7 + 15x

Step-by-step explanation:

given: sum of seven and the product of fifteen and a number

sum of seven: 7 +

the product of fifteen: 15 ·

a number: x, n, etc

Putting it together: 7 + 15 · x

Simplfiying: 7 + 15x

Hope this helps, have a nice day! :D

In the analysis of variance procedure (ANOVA), "factor" refers to the independent variable, which is manipulated in order to observe its effect on the dependent variable.

In the analysis of variance procedure (ANOVA), factor refers to:
b. the independent variable

In ANOVA, a factor is an independent variable that is manipulated or controlled to investigate its effect on the dependent variable. Different levels of a factor represent the variations in the independent variable being tested. The different levels of a treatment are often created by manipulating the factor.
In contrast, independent variables are not considered dependent on other variables in various experiments. [a] In this sense, some of the independent variables are time, area, density, size, flows, and some results before the affinity analysis (such as population size) to predict future outcomes (dependent variables).

In both cases it is always a variable whose variable is examined through a different input, statistically also called a regressor. Any variable in an experiment that can be assigned a value without assigning a value to another variable is called an independent variable.

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The solution to the initial value problem can be written in the form:

y(x) = (1/K)∫|sin(5x)|⁵ (3x³ - csc(5x)) dx

where K is a constant determined by the initial condition.

To solve the initial value problem and find the solution y(x), we can use the method of integrating factors.

Given: dy/dx + 5cot(5x)y = 3x³ - csc(5x), y = 0

Step 1: Recognize the linear first-order differential equation form

The given equation is in the form dy/dx + P(x)y = Q(x), where P(x) = 5cot(5x) and Q(x) = 3x³ - csc(5x).

Step 2: Determine the integrating factor

To find the integrating factor, we multiply the entire equation by the integrating factor, which is the exponential of the integral of P(x):

Integrating factor (IF) = e^{(∫ P(x) dx)}

In this case, P(x) = 5cot(5x), so we have:

IF = e^{(∫ 5cot(5x) dx)}

Step 3: Evaluate the integral in the integrating factor

∫ 5cot(5x) dx = 5∫cot(5x) dx = 5ln|sin(5x)| + C

Therefore, the integrating factor becomes:

IF = \(e^{(5ln|sin(5x)| + C)}\)

= \(e^C * e^{(5ln|sin(5x)|)}\)

= K|sin(5x)|⁵

where K =\(e^C\) is a constant.

Step 4: Multiply the original equation by the integrating factor

Multiplying the original equation by the integrating factor (K|sin(5x)|⁵), we have:

K|sin(5x)|⁵(dy/dx) + 5K|sin(5x)|⁵cot(5x)y = K|sin(5x)|⁵(3x³ - csc(5x))

Step 5: Simplify and integrate both sides

Using the product rule, the left side simplifies to:

(d/dx)(K|sin(5x)|⁵y) = K|sin(5x)|⁵(3x³ - csc(5x))

Integrating both sides with respect to x, we get:

∫(d/dx)(K|sin(5x)|⁵y) dx = ∫K|sin(5x)|⁵(3x³ - csc(5x)) dx

Integrating the left side:

K|sin(5x)|⁵y = ∫K|sin(5x)|⁵(3x³ - csc(5x)) dx

y = (1/K)∫|sin(5x)|⁵(3x³ - csc(5x)) dx

Step 6: Evaluate the integral

Evaluating the integral on the right side is a challenging task as it involves the integration of absolute values. The result will involve piecewise functions depending on the range of x. It is not possible to provide a simple explicit formula for y(x) in this case.

Therefore, the solution to the initial value problem can be written in the form: y(x) = (1/K)∫|sin(5x)|⁵(3x³ - csc(5x)) dx

where K is a constant determined by the initial condition.

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Answer:

1/32

Step-by-step explanation:

A unit fraction is a fraction that has a numerator value of one

Answer:

I THINK it's point T I hope this helps

Answer:

Step-by-step explanation:

A ray has no endpoint.

In the figure the starting point for the 3 rays is S.

Answer:

\(g(f(x)) = gof(x) =( x - 7)^{2} \\ = {x}^{2} - 14x + 49 \\ g(f(4) )\times g(f(4)) = (4^{2} - 14 \times 4 + 49 )\times( 4 ^{2} - 14 \times 4 + 49) \\ = 9 \times 9 \\ = 81\)

4x-6+3x+6=

7x

THE ANSWER IS "A"

Answer:

A 7x

Step-by-step explanation:

(4x - 6) + (3x + 6)

4x - 6 + 3x + 6

7x

Answer:

Yes, GCF stands for (greatest common factor)

so to find it do this:

   List the prime factors of each number.

   Circle every common prime factor — that is, every prime factor that's a factor of every number in the set.

   Multiply all the circled numbers. The result is the GCF.

Step-by-step explanation:

Angela's use 6 cups of flour and Jaleel's use 19/3 cups of flour.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The graph shows the relationship between the number of cups of flour and the number of cups of sugar in Angela's brownie recipe.

And, The table shows the same relationship for Jaleel's brownie recipe.

Hence, The equation for Angela's brownie recipe is,

Two points on graph are (4, 2) and (2, 1)

⇒ y - 2 = (2 - 1)/ (4 - 2) (x - 4)

⇒ y - 2 = 1/2 (x - 4)

⇒ y - 2 = 1/2x - 2

⇒ y = 1/2x

And, The equation for Jaleel's brownie recipe is,

Two points on graph are (3/2, 1) and (3, 2)

⇒ y - 1 = (2 - 1)/ (3 - 3/2) (x - 4)

⇒ y - 1 = 2/3 (x - 4)

⇒ y - 1 = 2/3x - 8/3

⇒ y = 2/3x - 8/3 + 1

⇒ y = 2/3x - 5/3

So, For Jaleel and Angela buy a 12-cup bag of sugar.

The equation for Angela's brownie recipe is,

⇒ y = 1/2x

⇒ y = 1/2 × 12

⇒ y = 6

The equation for Jaleel's brownie recipe is,

⇒ y = 2/3x - 5/3

⇒ y = 2/3 × 12 - 5/3

⇒ y = 19/3

Thus, Angela's use 6 cups of flour and Jaleel's use 19/3 cups of flour.

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The number of terms the series needed so that the remainder is less than 0.0005 is 14. The smallest integer value of n for which this is true is 14.

To find the number of terms needed for the remainder to be less than 0.0005, we need to use the remainder formula for an infinite series:
Rn = Sn - S
where Rn is the remainder after adding n terms, Sn is the sum of the first n terms, and S is the sum of the infinite series.

For this series, S can be found using the formula for the sum of a p-series:
S = Σ[infinity] 2/n^6 n=1 = π^6/945

Now we need to find the smallest value of n for which Rn < 0.0005. We can rewrite the remainder formula as:
Rn = Σ[infinity] 2/n^6 - Σ[n] 2/n^6

Simplifying the first term using the formula for the sum of a p-series, we get:
Σ[infinity] 2/n^6 = π^6/945

Substituting this into the remainder formula, we get:
Rn = π^6/945 - Σ[n] 2/n^6

We want Rn < 0.0005, so we can set up the inequality:
π^6/945 - Σ[n] 2/n^6 < 0.0005

Solving for n using a calculator or computer program, we get:
n ≥ 14

Therefore, we need at least 14 terms of the series Σ[infinity] 2/n^6 n=1 to ensure that the remainder is less than 0.0005, and the smallest integer value of n for which this is true is 14.

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Answer:

8

Step-by-step explanation:

\(x^2-2x \\x=4\\(4)^2-2(4)\\16-8\\8\)