A $525,000 adjustable rate mortgage is expected to have the following payments:
Year Interest Rate Monthly Payment
1-5 496
$2,506.43
$3,059.46
$3,464.78
$3,630.65
6-15 6%
16-25 8%
26-30 10%
A fixed-rate mortgage in the same amount is offered with an interest rate of 4.45%.
What is the difference in the total cost between the two mortgages, rounded to the nearest dollar?
A spreadsheet was used to calculate the correct answer. Your answer may vary slightly depending on the technology used.
A. 221,140
B. 199,105
C. 856,101
D. 407,909

Answer:

6.45

Step-by-step explanation:

6.9-6.0=0.9

0.9÷2=0.45+6=6.45

This is the middle between 18 and 21.

Hope this helps and give brainliest, thank me and rate it 5 please. :)

Answer:6.45

Step-by-step explanation:

At a constant rate of 400 miles per hour travel, the plane would be travelling from 32000 feet above the land.

The speed of an object is the ratio of distance and time it takes for the object to travel that distance.

Mathematically,

S = D/T

where

S is velocity

D is the distance traveled or distance traveled

T is the time it takes to travel that distance

Velocity is considered a scalar quantity. A scalar size only has a size. It does not provide information about the direction of object movement.

If an object moves at a constant speed, it means that the object moves the same distance in the same time interval.

Acceleration of an object is the ratio of velocity and time. vector size. Vector quantities have both magnitude and direction.

Mathematics,

a = v/t

When an object is in motion, its acceleration is never zero.

When an object moves, it moves a constant distance over time. Therefore, body positions cannot be the same from the same coordinate system.

Given in the question:

First the plane was travelling at a constant rate of 250  miles per hour.

Initial height was 20000 feet

Now,

As the speed increases and travels at a constant rate of 400 miles per hour.

Now,

   (400 /250 ) × 20000

=  1.6 × 20000

= 32000 feet

Thus, At a constant rate of 400 miles per hour travel, the plane would be travelling from 32000 feet above the land.

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Answer:

B. 48

Step-by-step explanation:

plug in the value of h into the expression and simplify from there

Answer:

I am pretty sure it is y=22-4x/3

Step-by-step explanation:

4x+3y=22

(you need to put it in y=mx+b format)

-subtract 4x on both sides-

3y=22-4x

-divide by 3 on both sides-

y=22-4x/3

Not sure if this is correct, but I hope this helps!

9.028 many resonances will be observed when a tuning fork with a frequency of 321 Hz is used in air with a sound speed of 342 m/s.

Given that,

When a tuning fork with a frequency of 321 Hz is used in air with a sound speed of 342 m/s, how long is the tube utilized in our experiment, 4 m?

We have to find what many of resonances will be seen.

We know that,

The length of the tube is Lₙ=4 m

Frequency is ν = 321 hz

Speed of sound is v = 342 m/s

We know that,

ν=vλ

321=342λ

λ=321/342

λ=0.938

Now,

Lₙ=(2n+1/4)λ

4=(2n+1/4)0.938

n=8.028

We get,

N=n+1=8.028+1=9.028

Therefore, 9.028 many resonances will be observed when a tuning fork with a frequency of 321 Hz is used in air with a sound speed of 342 m/s.

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f(x) = (x + 9)(x - 4)(6x + 1)

To find the zeroes of f(x0 put f(x) = 0

0 = (x + 9)(x - 4)(6x + 1)

Now equate each bracket by 0

x + 9 = 0

Subtract 9 from both sides

x + 9 - 9 = 0 - 9

x = -9

x - 4 = 0

Add 4 to both sides

x + 4 - 4 = 0 + 4

x = 4

6x + 1 = 0

Subtract 1 from both sides

6x + 1 - 1 = 0 - 1

6x = -1

Divide both sides by 6

6x/6 = -1/6

x = - 1/6

The zeroes of f(x) are -9, 4, - 1/6

The answer is A

The cost price that was used to get the book is: R.S 172

The parameters given are:

Marked Price: M.P = RS. 250

Discount allowed = 10%

The formula to find the selling price here will be:

S.P = M.P * (100 - Discount)/100

Thus:

S.P = 250 * (100 - 14)/100

S.P = 250 * 0.86

S.P = R.S 215

Since the profit is 25%, then we have:

Cost Price = (S.P * 100)/(100 + Gain%)

Cost price = (215 * 100)/(100 + 25)

Cost Price = 21500/125

Cost price = R.S 172

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When a group of individuals selects a particular consumer-submitted entry, it is called a "winner." However, if the selection process is part of a marketing promotion, it could be classified as a sample, premium, contest, or sweepstake depending on the specific rules and regulations.  The correct option is A.

Generally speaking, a sample refers to a small portion of a product or service that is given away for free, a premium is a bonus item or incentive offered with a purchase, a contest involves a skill-based competition with a predetermined set of rules and criteria, and a sweepstake is a random drawing with no purchase necessary. A contest is an event where a group of individuals selects a particular consumer-submitted entry as the winner. This often involves participants submitting entries that showcase their skills, creativity, or other qualities.

The entries are then judged by a panel or group, who choose the winning submission based on predetermined criteria. In contrast, a sweepstake is a promotional event where winners are chosen randomly from all eligible entries, rather than being judged on the merits of their submission. A sample, on the other hand, typically refers to a small portion of a product provided for free to potential customers. Lastly, a premium is a reward offered to customers for making a purchase or participating in a promotion.

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Answer:

D

Step-by-step explanation:

The equation of a curve with slope 5x^4y at every point (x,y) and passing through (0,-3) is y = ±3e^(x^5). The method of separation of variables was used to solve the differential equation and find the constant of integration.

To find the equation of the curve with slope 5x^4y at every point (x,y) and passing through the point (0,-3), we can use the method of separation of variables.

First, let's separate the variables x and y by multiplying both sides by dx and dividing both sides by 5x^4y:

dy/dx = 5x^4y

(1/y) dy = 5x^4 dx

Integrating both sides, we get:

ln|y| = x^5 + C

where C is the constant of integration.

To find the value of C, we can use the fact that the curve passes through the point (0,-3). Substituting x = 0 and y = -3 into the equation, we get:

ln|-3| = 0 + C

C = ln(3)

Therefore, the equation of the curve is:

ln|y| = x^5 + ln(3)

Taking the exponential of both sides, we get:

|y| = e^(x^5+ln(3))

Since y can be positive or negative, we can write:

y = ±e^(x^5+ln(3))

Simplifying, we get:

y = ±3e^(x^5)

Therefore, the equation of the curve is y = ±3e^(x^5), and it passes through the point (0,-3).

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\(\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ V=65\pi \end{cases}\implies 65\pi =\cfrac{4\pi r^3}{3}\implies \cfrac{3}{4\pi}\cdot 65\pi =r^3 \\\\\\ \cfrac{195}{4}=r^3\implies \sqrt[3]{\cfrac{195}{4}}=r\implies 3.65\approx r\)

The angle β, given the terminal point(sqrt(2)/2, sqrt(2)/2) on a unit circle, is equal to π/4 radians or 45 degrees.

To determine the angle β given the terminal point on a unit circle, we can use the trigonometric functions sine and cosine.

The terminal point of β is (sqrt(2)/2, sqrt(2)/2). Let's denote the angle β as the angle formed between the positive x-axis and the line connecting the origin to the terminal point.

The x-coordinate of the terminal point is cos(β), and the y-coordinate is sin(β). Since the terminal point issqrt(2)/2, sqrt(2)/2). we have:

cos(β) = sqrt(2)/2

cos(β) = sqrt(2)/2

We can recognize that sqrt(2)/2 is the value of the cosine and sine functions at π/4 (45 degrees) on the unit circle. In other words, β is equal to π/4 radians or 45 degrees.

So, β = π/4 or β = 45 degrees.

In summary, the angle β, given the terminal point (sqrt(2)/2, sqrt(2)/2) on a unit circle, is equal to π/4 radians or 45 degrees.

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The minimum yield value of the key material should be determined based on the yield stress of the shaft, which is 36 kg/m², the dimensions of the key, and the safety factor of 2.

To ensure that the key smoothly transmits the torque of the shaft, it is essential to choose a key material with a minimum yield value that can withstand the applied forces without exceeding the yield stress of the shaft.

The dimensions of the key given are 20x20x120 mm. To calculate the torque transmitted by the key, we need to consider the dimensions and the applied forces. However, the specific values for the applied forces are not provided in the question.

The safety factor of 2 indicates that the material should have a yield strength at least twice the expected yield stress on the key. This ensures a sufficient margin of safety to account for potential variations in the applied forces and other factors.

To determine the minimum yield value of the key material, we would need additional information such as the expected torque or the applied forces. With that information, we could calculate the maximum stress on the key and compare it to the yield stress of the shaft, considering the safety factor.

Please note that without the specific values for the applied forces or torque, we cannot provide a precise answer regarding the minimum yield value of the key material.

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Answer:

since there are 3 sides the answer will be infinite

Answer:105 i believe so

Step-by-step explanation:

Answer:

105 members

Step-by-step explanation:

\(1.25 \times 84 = 105\)

Answer: 18.27

Step-by-step explanation:

Area  of Shaded = Area of pie -  Area of triangle

Area of pie = (angle)/360 * \(\pi \\\) r²

Area of pie = 90/360 * \(\pi\) * 8²

Area of pie = 50.27

Area of triangle = 1/2 bh

Area of triangle = 1/2 8(8)

Area of triangle = 32

Area of shaded =  50.27 - 32

Area of shaded = 18.27

Answer:

i have the same question

Step-by-step explanation:

i have the same question

Answer:

\(\frac{5}{18}\)

Step-by-step explanation:

sum the parts of the ratio, 4 + 5 = 9 parts

Divide the amount by 9 to find the value of one part of the ratio

£540 ÷ 9 = £60 ← value of 1 part of the ratio , thus

4 parts = 4 × £60 = £240 ← Alvin's share

5 parts = 5 × £60 = £300 ← Simon's share

\(\frac{1}{2}\) × £240 = £120

\(\frac{1}{10}\) × £300 = £30

Theo receives £120 + £30 = £150 , which as a fraction is

\(\frac{150}{540}\) ( divide numerator/ denominator by 30 )

= \(\frac{5}{18}\) ← in simplest form

Answer:

Step-by-step explanation:

it does not show the problem

Answer:

it would be in no cause there is a o

Step-by-step explanation:

Answer:

none

Step-by-step explanation:

You can't solve it.

only 16, so you can't input 'x' anywhere

Answer:

cheese is cheese

In order to justify their position candidate make assumption that the price effect would be larger than the quantity effect.

What is Price?

The amount of money required to obtain a certain thing is referred to as its price. Price is a measure of value in the sense that the amount people are willing to pay for a commodity signifies its value.

Concept:

Candidate A claims that raising the sales tax from 5% to 7% will enhance revenue. This suggests that the price effect is greater than the quantity effect because when taxes rise, prices rise and quantities fall; hence, tax revenue will rise only if the price effect is more than the quantity effect.

And Candidate B claims that the tax would harm merchants and customers, slow the economy, and reduce tax revenue, but only if the quantity effect outweighed the price effect.

As a result, Candidate A believes that the price effect will be greater than the quantity effect.

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Applying the tangent theorem and trigonometry ratio, the measure of angle A is: 19.5°.

The tangent theorem states that if a line is tangent to a circle, the point at which the radius is drawn to the point of tangency is a right angle.

Thus, consider triangle AKO as a right triangle.

Therefore,

Using the trigonometry ratio, SOH, we have:

sin A = opp/hyp

sin A = 5/15

sin A = 0.3333

A = 19.5°

Therefore, applying the tangent theorem and trigonometry ratio, the measure of angle A is: 19.5°.

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After answering the provided question, we can conclude that Kelly and graphs Rob have no connections, indicating that they do not know each other.

Mathematicians use graphs to visually display or chart facts or values in order to express them coherently. A graph point usually represents a relationship between two or more things. A graph, a non-linear data structure, is made up of nodes (or vertices) and edges. Glue the nodes, also known as vertices, together. This graph includes V=1, 2, 3, 5, and E=1, 2, 1, 3, 2, 4, and (2.5). (3.5). (4.5). Statistical graphs (bar graphs, pie graphs, line graphs, and so on) are graphical representations of exponential growth. a logarithmic graph shaped like a triangle

     Kelly    Bob    Rob

Jim     o       o      -

Mark    o       o      -

Alan    -       o      o

This graph depicts the friendships of Jim, Mark, Alan, Kelly, and Bob. Each person is represented as a node, and the edges show who they know. Because Jim and Mark only know Kelly and Bob, they are linked to those two nodes. Alan only knows Rob and Bob, which is why he is linked to them. Kelly and Rob have no connections, indicating that they do not know each other.

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Answer:

-----------------

Find each area and then find their difference.

The difference is:

Answer:uyuy uy

the rang is 5 times 6 is 9 the rang is 5 times 6 is 9 the rang is 5 times 6 is 9

Step-by-step explanation:

Answer:

Expression: 2s + 6

# of Pages Friend Read: 14 pages

Step-by-step explanation:

Let's call the number of pages your sister has read, s, and the number of pages your friend has read, f. We will make our equation first. If your friend has read 6 more than twice as many pages as your sister has, your equation would look like this:

f = 2s + 6

That is your equation for how many pages your friend read, your expression would be just 2s + 6. Now, we will substitute in 4 for s, and we get:

f = 2 * 4 + 6

Multiplying gives:

f = 8 + 6 = 14

So your friend has read 14 pages.

Hope this helped!