HELP ASAP WITH WORK SHOWN!

A particle moves along the x-axis so that
at time t≥ 0 its position is given by
x(t) = 3t³ - 27t² + 72t + 14.
Determine the total distance traveled by
the particle from 0 ≤ t ≤ 6.
0

HELP ASAP WITH WORK SHOWN!A Particle Moves Along The X-axis So Thatat Time T 0 Its Position Is Given

Answers

Answer 1

The total distance traveled by the particle from 0 ≤ t ≤ 6 is: 216 units

How to find the total distance travelled?

The position of the particle is given by the equation:

x(t) = 3t³ - 27t² + 72t + 14.

Now, To find the times when the particle changes direction, you just need to find the critical numbers of the function x(t).  These would be the possible times when the particle changes direction.

x(t) = 3t³ - 27t² + 72t + 14.

x'(t) = 9t² - 54t + 72

Using quadratic equation calculator, we have:

t = 2 or 4

Then you can find the position of the particle at these times.  We will also need to find its position at our end points: t = 0, 7.  Basically all we are doing here is finding the global max/min values of the function up to this point.

x(0) = 3(0)³ - 27(0)² + 72(0) + 14 = 14

x(2) = 3(2)³ - 27(2)² + 72(2) + 14 = 74

x(4) = 3(4)³ - 27(4)² + 72(4) + 14 = 62

x(6) = 3(6)³ - 27(6)² + 72(6) + 14 = -202

Thus:

Total distance = (74 - 14) + (62 - 74) + (-202 - 62)

= -216

This is 216 in the negative direction

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Related Questions

Suppose that the heights of adult women in the United States are normally distributed with a mean of 64. 5 inches and a standard deviation of 2. 2 inches. Jina is taller than of 90% the population of U. S. Women. How tall (in inches) is Jina? Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place

Answers

Jina is taller than 90% of US women if her height is at least 67.3 inches. Jina's height is approximately 67.3 inches.

Jina's height can be found using the z-score formula: z = (x - μ) / σ, where x is Jina's height, μ is the mean height of US women, and σ is the standard deviation of the heights. We need to find the z-score such that the area under the normal curve to the right of it is 0.10 (since Jina is taller than 90% of the population).

Using a z-score table or a calculator, we find that the z-score corresponding to an area of 0.10 is approximately 1.28. Substituting into the z-score formula and solving for x, we get:

1.28 = (x - 64.5) / 2.2

x - 64.5 = 2.816

x = 67.316

Rounding to one decimal place, Jina's height is approximately 67.3 inches.

In other words, Jina is taller than 90% of US women if her height is at least 67.3 inches.

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Pls help help Algebra1

Answers

Answer:

C. (6r + 5)

Step-by-step explanation:

You would multiply (3r - 7) with (6r + 5) to get the value.

You want to determine the savings for using a battery that can be recharged. The battery costs 16 dollars. You save 14 dollars each time you recharge the battery. Represent the cost of the rechargeable battery as a negative number and savings as a positive number

Answers

The charged battery costs 16 dollars, which is denoted as -16. (negative number). The cost for  the savings for using a battery that can be recharged is +14(positive number).

A battery is an electrical energy storage instrument made up of one or more electrochemical cells connected to the outside world. The cathode and anode of a battery are the positive and negative terminals, respectively, when the battery is supplying electricity.                            The battery costs 16 dollars. You save 14 dollars each time you recharge the battery.  The cost of the rechargeable battery as a negative number is -16.The savings for using a battery that can be recharged is +14

The charged battery costs 16 dollars, which is denoted as -16. (negative number). Each refresh saves 14 dollars, which is symbolised as +14. (positive number). The charged battery costs 16 dollars, which is denoted as -16. (negative number). The cost for  the savings for using a battery that can be recharged is +14(positive number).

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help me pls this is another one that is due Saturday!!!!

Answers

Answer:

Your anser is u = 6

Step-by-step explanation:

[tex]\frac{6}{7} =\frac{8}{u+5}[/tex]

Cross multiply.

[tex]6*(u+5) =7*8\\\\6u+30=56\\\\6u=56-30\\\\6u=36\\\\u=6[/tex]

HELPPPP ASAP!
Part A
Sarah graphs the equations and to solve the equation . Her graph is shown below.
Name the solution(s) and Describe where you found your solution(s) on the graph using a complete sentence.

Answers

The sοlutiοn(s) οn the graph are x = -4, 2.

In mathematics, a graph is a diagram οr visual representatiοn οf facts οr values that is οrdered. The pοints οn a graph are typically used tο depict the relatiοnships between twο οr mοre things. Graph theοry is the study οf graphs, which are mathematical structures that are used tο depict pairwise interactiοns between οbjects. A graph in this sense is made up οf vertices and edges.

A graph is an οrdered graphic οr visual representatiοn οf facts οr values in mathematics. The relatiοnships between twο οr mοre οbjects are οften shοwn by the pοints οn a graph.

The study οf graphs, which are mathematical representatiοns οf pairwise interactiοns between things, is knοwn as graph theοry. Vertices and edges make up a graph in this cοntext.

From the given graph we conclude following -

[tex]\frac{1}{4}x^2 = -\frac{1}{2}x + 2\\x^2 + 2x - 8 = 0\\x^2 + 4x - 2x - 8 = 0\\x(x + 4) - 2(x + 4) = 0\\(x + 4)(x - 2) = 0\\x = 2, -4[/tex]

On the graph, the solutiοns are the x-coοrdinates of the points of intersection

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Which reason completes the proof for step 6?

A. Definition of midsegment
B. Definition of median
C. Definition of midpoint
D. Definition of slope

Answers

The correct answer is A. Definition of midsegment. In this step, the proof is demonstrating that the midsegment of a triangle is parallel to the median of the triangle.

What is a triangle?

A triangle is a three-sided polygon. It is one of the basic shapes in geometry. It has three sides and three angles, with the sum of the angles of a triangle being always 180 degrees. Triangles come in various shapes and sizes, and are classified by their angles or sides. Examples of triangle shapes include equilateral, isosceles and scalene.

The midsegment is defined as the line segment that connects the midpoints of two sides of the triangle. The median is defined as the line segment that connects a vertex of the triangle with the midpoint of the opposite side. Therefore, in order to prove that the midsegment is parallel to the median, the definition of the midsegment must be used. The definition of the midsegment states that it is the line segment that connects the midpoints of two sides of the triangle, which is necessary in order to prove that it is parallel to the median. Therefore, A. Definition of midsegment is the correct answer for this step in the proof.

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Calculate the area of this triangle

Answers

Answer:

4.06 cm^2

Step-by-step explanation:

If you draw a line from the top vertex to intersect the base (which is 5.8 cm) at 90 degrees, the line is called the height. You need to calculate the height to determine the area.

So the triangle's height will divide the triangles into 2 smaller right triangles.

For the left right triangle, 2.5 will be hypotenuse

=> 2.5^2 = (height)^2 + (base1)^2

=> (height)^2 = 6.25 - (base1)^2

For the right right triangle, 4 will be hypotenuse

=> 4^2 = (height)^2 + (base2)^2

=> (height)^2 = 16 - (base2)^2

So

6.25 - (base1)^2 = 16 - (base2)^2

We have base1 + base2 = 5.8 => base1 = 5.8 - base2

Substitute

6.25 - (5.8 - base2)^2 = 16 - (base2)^2

6.25 - (33.64 - 11.6base2 + base2^2 = 16 - base2^2

base2^2 - base2^2 + 11.6base2 = 16 + 33.6 - 6.25

11.6base2 = 43.35

base2 = 43.35/11.6 = 3.74

since (height)^2 = 16 - (base2)^2

(height)^2 = 16 - (3.74)^2

height^2 = 2.0124

height = 1.42

so area = 1/2hb = 1/2(1.4)(5.8) = 4.06 cm^2

What is the area of this figure?

Answers

Answer:

223.67

Step-by-step explanation:

Calculate the speed of a car if it covers 660km in 4 hours

Answers

Answer:

[tex]\frac{660}{4} = 165[/tex]  [tex]km/h[/tex]

what you have to do is divide 660 km by 4 to find the speed cover in one hour.

660km/4
165 km/ per hour.

What is the equation of p? A. p(x)= x(x - 3)(2x + 7)^2 B. p(x) x^2(x - 3)(2x + 7) C. p(x) = x(x - 3)^2(2x + 7)^2 D. p(x)= x(x - 3)^2(2x + 7)

Answers

Answer:

I believe it's C.

Step-by-step explanation:

The correct equation of p is C. p(x) = x(x - 3)^2(2x + 7)^2. This is because the given polynomial has a zero of multiplicity 2 at x = 3, a zero of multiplicity 1 at x = 0, and a zero of multiplicity 2 at x = -7/2. Therefore, the equation of the polynomial can be written as p(x) = k(x - 3)^2(x)(2x + 7)^2, where k is some constant. Since the leading coefficient of the polynomial is 1, k = 1. Thus, we get the equation p(x) = x(x - 3)^2(2x + 7)^2.

It is option C and not A, B, or D because:

Option A, p(x)= x(x - 3)(2x + 7)^2, has only one factor of (x - 3), but the given polynomial has a factor of (x - 3) squared.

Option B, p(x) x^2(x - 3)(2x + 7), has an extra factor of x^2 that is not present in the given polynomial.

Option D, p(x)= x(x - 3)^2(2x + 7), is very close to the correct answer, but it is missing the factor of (x) that is present in the given polynomial.

Thus, the correct equation of p is C, p(x) = x(x - 3)^2(2x + 7)^2, which includes all the necessary factors and satisfies the given conditions.

Hope this helps you! I'm sorry if it doesn't. If you need more help, ask me! :]

Choose the statement that explains how to decide which value corresponds to point B
A.)The value of B is less than the values of all the other points.
B.)The value of B is greater than -1.
C.)The value of B is less than -1.
4.)The value of B is between-1 and -1/

Answers

Answer:

Step-by-step explanation:

D.The value of B is equal to -1

The curved surface area of a solid
cylinder is 660 cm2
.

The cylinder has height 10 cm.
a) What is the circumference of the
cylinder?
b) What is the radius of the cylinder?
c) What is the area of one circular
base?
d) What is the surface area of the
cylinder?

Answers

Answer:

a) The circumference of the cylinder can be found using the formula C = 2πr, where r is the radius of the circular base. Rearranging the formula, we get r = C/2π. To find the circumference, we can use the formula for the curved surface area: A = 2πrh, where h is the height of the cylinder. Substituting the given values, we get:

660 = 2πr(10)

r = 33/π

Now we can find the circumference:

C = 2πr = 2π(33/π) = 66

Therefore, the circumference of the cylinder is 66 cm.

b) The radius of the cylinder is given by r = 33/π, which we already found in part a).

c) The area of one circular base can be found using the formula A = πr^2. Substituting the value of r from part b), we get:

A = π(33/π)^2 = 1089/π

Therefore, the area of one circular base is 1089/π cm^2.

d) The surface area of the cylinder consists of the curved surface area and two circular bases. The area of one circular base was found in part c), so we just need to add the curved surface area to twice the area of one circular base:

Surface area = 2A + 2πrh

Substituting the given values, we get:

Surface area = 2(1089/π) + 2π(33/π)(10) = 2187/π + 660

Therefore, the surface area of the cylinder is 2187/π + 660 cm^2.

Step-by-step explanation:

12.
Find x and y in trapezoid TRAP below.

Answers

Answer:

x = 115 , y = 40

Step-by-step explanation:

in a trapezoid

• each lower base angle is supplementary to the upper base angle on the same side.

∠ ART = 40° + 25° = 65°

then

∠ PAR = 180° - ∠ ART = 180° - 65° = 115° , so

∠ PAR = x = 115

the sum of the 3 angles in Δ PAR = 180° , that is

x + y + 25 = 180

115 + y + 25 = 180

140 + y = 180 ( subtract 140 from both sides )

y = 40

PLEAASE HELP ME NEED IT RN

Answers

The Sun is approximately 9.2661 x 10^7 miles farther than the Moon from Earth.

How to solve

The distance between the Sun and the Earth is approximately 9.29 x 10^7 miles, and the distance between the Moon and the Earth is approximately 2.389 x 10^5 miles.

To find how much farther the Sun is from the Earth than the Moon, we can subtract the distance between the Moon and the Earth from the distance between the Sun and the Earth:

9.29 x 10^7 miles - 2.389 x 10^5 miles = 9.2661 x 10^7 miles

Therefore, the Sun is approximately 9.2661 x 10^7 miles farther than the Moon from Earth.

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There is a number cube with faces numbered 1 to 6. There is also a coin with one side marked as heads and the other tails.
As a trial of an experiment, the number cube was rolled and the coin flipped. The number (1 to 6) from the roll and the side (H for heads and T for talls) of
the coin from the flip were recorded.
Here is a summary of the data from 1050 trials.
Outcome 1H 2H 3H 4H 5H 6H 1T 2T 3T 4T 5T 6T
Number of trials 79 99 89 88 89 96 92 86 97 79 77 79
Answer each part.
(a) Assuming the cube and the coin are fair, find the theoretical probability of this event: both
rolling a 1 ora 6 and flipping tails, in a single trial. Round your answer to the nearest
thousandth.
0
(b) Use the data to find the experimental probability of this event: both rolling a 1 or a 6 and
nipping talls, in a single trial. Round your answer to the nearest thousandth.
0
(c) Choose the statement that is true.
With a large number of trials, there might be a difference between the experimental
and theoretical probabilities, but the difference should be small.
With a large number of trials, there must be a large difference between the
experimental and theoretical probabilities.
With a large number of trials, there must be no difference between the experimental
and theoretical probabilities.
5

Answers

134 of ur 4355or 355

How high above the first floor is the second floor? Round to the nearest tenth.

Answers

The hight above the first floor to second floor is 15 ft , for this we have Trigonometry angles.

What is Trigonometry angles?

Angles determined by the ratios of the trigonometric functions are known as trigonometric angles.

The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths.

Given h = 60 ft, we have to find p

Sin 15° = p/h

0.25 = p/60

p = 15 ft

So, the hight above the first floor to second floor is 15 ft.

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thankyou for the RIGHT answer

Answers

Answer: ty

Step-by-step explanation:

Brainliest pls:)

Explain two factors that could make the public resort to violent ways of protesting

Answers

There are a variety of factors that can lead to violent protests, but two significant factors are perceived injustice and lack of political representation.

Perceived injustice: When people feel that they have been wronged, marginalized, or oppressed by a system or institution, they may resort to violent protest as a way to express their anger and frustration. This is particularly true when people believe that peaceful means of protest have been ignored or have failed to bring about change. For example, if a community feels that they are being unfairly treated by the police, and previous attempts to seek redress through peaceful protests or other channels have failed, they may turn to violent protest as a last resort.

Lack of political representation: When people feel that their voices are not being heard, they may resort to violent protests as a way to force attention to their concerns. This can happen when marginalized groups feel excluded from the political process, or when they feel that their interests are being ignored by those in power. If people feel that their concerns are not being taken seriously, they may turn to violent protest as a way to make their voices heard.

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Solve the following differential equation by variation of parameters. Fully evaluate all integrals. y" + 25 y = sec(5x). Find the most general solution to the associated homogeneous differential equation. Use c_1 and c_2 in your answer to denote arbitrary constants, and enter them as c1 and c2. y_h = c1cos(5x) + c2sin(5x) Find a particular solution to the nonhomogeneous differential equation y" + 25 y = sec(5x). y_p = 1/25(- cos(ln(sec5x))) + 5xsin(5x) Find the most general solution to the original nonhomogeneous differential equation. Use c_1 and c_2 in your answer to denote arbitrary constants. y =

Answers

The general solution is given by: y = c1cos(5x) + c2sin(5x) + 1/25(- cos(ln(sec5x))) + 5xsin(5x)

The most general solution to the original nonhomogeneous differential equation can be found by adding the homogeneous solution and the particular solution together. That is,

y = y_h + y_p

= c1cos(5x) + c2sin(5x) + 1/25(- cos(ln(sec5x))) + 5xsin(5x)

This is the most general solution to the original nonhomogeneous differential equation. We can use the arbitrary constants c1 and c2 to find specific solutions for different initial conditions. The general solution is given by:

y = c1cos(5x) + c2sin(5x) + 1/25(- cos(ln(sec5x))) + 5xsin(5x)

This is the final answer. Note that we have used the terms "general solution" and "arbitrary constants" in our answer, as instructed.

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Suppose that car accidents along a stretch of road occurs independently and are described by the Poisson distribution at a rate of 0.1 per hour. Furthermore, the number of motorcycle accidents along the same stretch of road also occurs independently and are described by the Poisson distribution at a rate of 0.05 per hour. What is the probability that there will be at most one accident in the next 2 hours?

Answers

The probability of at most one accident in the next 2 hours is 82.15%.

Let X be the number of car accidents in the next 2 hours, and Y be the number of motorcycle accidents in the next 2 hours. Both X and Y follow Poisson distributions, with rates of λX = 0.12 = 0.2 and λY = 0.052 = 0.1, respectively.

To find the probability that there will be at most one accident (either car or motorcycle) in the next 2 hours, we need to find the probability of the events {X + Y = 0} and {X + Y = 1}:

P(X + Y ≤ 1) = P(X + Y = 0) + P(X + Y = 1)

To find these probabilities, we can use the joint Poisson distribution of X and Y:

P(X = i, Y = j) = e^-(λX+λY) * (λXᵃ /a!) * (λYᵇ / b!)

where a and b are non-negative integers.

For X + Y = 0, we have:

P(X + Y = 0) = P(X = 0, Y = 0) = e⁻⁽⁰ ²⁺⁰ ¹⁾  * (0.2⁰ / 0!) * (0.1⁰ / 0!) = e⁻⁰ ³ ≈ 0.7412

For X + Y = 1, we have:

P(X + Y = 1) = P(X = 0, Y = 1) + P(X = 1, Y = 0) = e⁻⁽⁰ ²⁺⁰ ¹⁾ * (0.2⁰/ 0!) * (0.1¹/ 1!) + e⁻⁽⁰ ²⁺⁰ ¹⁾  * (0.2¹/ 1!) * (0.1⁰ / 0!) = 20.20.1*e⁻ ⁰ ³ ≈ 0.0803

Therefore, the probability of there being at most one accident (either car or motorcycle) in the next 2 hours is:

P(X + Y ≤ 1) ≈ 0.7412 + 0.0803 ≈ 0.8215

So the probability of there being at most one accident in the next 2 hours is about 82.15%.

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0.67032

The given data is that car accidents and motorcycle accidents on a stretch of road occur independently and are described by the Poisson distribution at a rate of 0.1 and 0.05 per hour respectively. It is required to find the probability that there will be at most one accident in the next 2 hours.The number of car accidents along the stretch of the road in the next 2 hours is a Poisson distribution with a mean of 0.1 x 2 = 0.2. Similarly, the number of motorcycle accidents in the next 2 hours is a Poisson distribution with a mean of 0.05 x 2 = 0.1.The probability that there will be at most one accident in the next 2 hours is:P(at most one accident in the next 2 hours)=P(no accident in the next 2 hours)+P(one accident in the next 2 hours)= e^(-0.2) (0.2)^0 / 0! + e^(-0.2) (0.2)^1 / 1! + e^(-0.1) (0.1)^0 / 0! + e^(-0.1) (0.1)^1 / 1!= 0.67032Therefore, the probability that there will be at most one accident in the next 2 hours is 0.67032.

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A family has a large sand castle mold in the shape of a swuare puramid the distance from the ase to the apex the mold is 5feet and one of the edges of the base of the mold is 3 feet. How much sand does the family need to fill the mold completlt

Answers

The family needs 15 cubic feet of sand to fill the mold completely.

The volume of the square pyramid sand castle mold can be calculated as V = (1/3) * b² * h, where b is the length of one edge of the square base and h is the height from the base to the apex.

In this case, b = 3 feet and h = 5 feet.

Plugging these values into the formula, we get:

V = (1/3) * 3² * 5

V = 15 cubic feet

Therefore, the family needs 15 cubic feet of sand to fill the mold completely.

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5. A six-marble repeating pattern made up of
ebloured marbles is shown.
How many times does a red marble appear
in the first 20 marbles of this pattern?
Explain your answer.

Answers

Answer:

7 marbles

Step-by-step explanation:

For every 6 marbles, 2 marbles appear as red.

This pattern would repeat thrice as 6x3 = 18, and then the first 2 marbles (one blue and red) will be counted to make 20 marbles.

So total marbles will be 3x2 in the 18 marble set and 1 in the final 2 marbles.

so 3x2 + 1 = 6+1 = 7

We get 7 marbles as red if we continue in this pattern.

Paige has some cards. Each card has a
colour on it.
If she chooses a card at random, then
P(blue) and P(white) = 1.
18'
=
Calculate P(neither blue nor white).
Give your answer as a fraction in its
simplest form.

Answers

The response will be P(neither blue nor white) = 0, in accordance with the information provided.

In math, what is a fraction?

A fraction is a component of a whole. Mathematically, the number is expressed as a quotient, in which the both the numerator and the denominator are divided. In a simple fraction, both are integers. The numerator or decrease of a complicated fraction contains a fraction. The numerator of an appropriate fraction is less than the denominator.

The total probability of all potential outcomes must equal 1. As P(blue) and P(white) are both 1, there cannot be any other card colors. P(neither blue nor white) is therefore equal to zero.

If there are additional cards of different colors and the information provided is insufficient or inaccurate, we can also apply the following formula:

P(neither blue nor white) = 1 - P(blue) - P(white)

Assuming that there are just three possible card colors (blue, white, and another color), the following equation can be constructed using the provided data:

P(blue) + P(white) + P(another color) = 1

P(white) and P(blue) are both 1, so we have:

1 + 1 + P(another color) = 1

When we simplify this equation, we obtain:

P(another color) = -1

The presented information does not support the notion that there are merely three possible card colors, hence this is not a legitimate probability. Hence, the only viable response is.

P(neither blue nor white) = 0

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The answer is 0/1, which can be simplified to 0.

what is probability?

Probability is a measure of the likelihood or chance of an event occurring.

If P(blue) and P(white) are both 1, it means that all the cards are either blue or white.

Let's assume there are a total of n cards. Then,

P(blue) + P(white) = 1

=> Number of blue cards + Number of white cards = n

Given that P(blue) = P(white) = 1, we can conclude that there are n/2 blue cards and n/2 white cards.

Therefore, the probability of choosing a card that is neither blue nor white is the probability of choosing a card of a different color. There are no other colors given, so we can assume that there are no cards of any other color.

Hence, the probability of choosing a card that is neither blue nor white is 0.

So, P(neither blue nor white) = 0.

Therefore, the answer is 0/1, which can be simplified to 0.

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Pls help Algebra1 pls pls

Answers

Answer:

1,4,5

Step-by-step explanation:

Jist Multiply these

jim makes $80,000 per year in gross income and must pay a required deduction of 30% in income tax ( federal,state,and local combined) he deducts no money for retirement savings.

Answers

Answer:

he pays 24,00 and he is left with 56000

Step-by-step explanation:

100% = 80000

30%  = X

100%X= 2400000

2400000/100= 24,000

80,000-24,000= 56,000

would appreciate if someone could help

Answers

Answer:

X AXIS WILL BE ON 4,2 AND Y AXIS WILL BE 4,2 ON BEHALF OF BOTH ANGLES HAVING QUADILATERAL AND THEN APPLY THEOREMS FOR THE EASY SOLUTIONS..

Ten years ago the Jacksons bought a house, taking out a 30 year mortgage for $150,000 at 5.75%. This year (exactly 10 years later) they refinanced the house, taking out a new 30 year mortgage for the remaining balance at 4.375%.

What was the monthly payment on the original 5.75% mortgage?
What was the remaining balance after 10 years (the amount they then refinanced)?
How much interest did they pay during those first 10 years?
What is the monthly payment on the refinance 4.375% mortgage?
How much interest will they pay over the 30 year term of the refinance?
How much total interest will they pay over the full 40 years the Jacksons have a loan for the house?

Answers

The tοtal interest paid οver the full 40 years the Jacksοns have a lοan fοr the hοuse is apprοximately $137,986.85.

Tο sοlve this prοblem, we can use the fοrmula fοr a fixed-rate mοrtgage payment:

[tex]P = (Pv\times r) / (1 - (1 + r)^{(-n))[/tex]

Where:

Pv = present value οf the mοrtgage

r = mοnthly interest rate

n = tοtal number οf payments

a) Mοnthly payment οn the οriginal 5.75% mοrtgage:

Pv = $150,000

r = 5.75% / 12 = 0.004792

n = 30 years × 12 mοnths per year = 360

[tex]P = (150,000 \times 0.004792) / (1 - (1 + 0.004792)^{(-360))[/tex]

P ≈ $875.25

Therefοre, the mοnthly payment οn the οriginal 5.75% mοrtgage was apprοximately $875.25.

b) Remaining balance after 10 years:

Using an οnline amοrtizatiοn calculatοr οr fοrmula, we can find that the remaining balance after 10 years is apprοximately $111,138.77.

c) Interest paid during the first 10 years:

Using the same amοrtizatiοn calculatοr οr fοrmula, we can find that the tοtal interest paid during the first 10 years is apprοximately $54,316.57.

d) Mοnthly payment οn the refinance 4.375% mοrtgage:

Pv = $111,138.77

r = 4.375% / 12 = 0.003646

n = 30 years × 12 mοnths per year = 360

[tex]P = (111,138.77\times 0.003646) / (1 - (1 + 0.003646)^{(-360))[/tex]

P ≈ $554.62

Therefοre, the mοnthly payment οn the refinance 4.375% mοrtgage is apprοximately $554.62.

e) Tοtal interest paid οver the 30 year term οf the refinance:

Using the same amοrtizatiοn calculatοr οr fοrmula, we can find that the tοtal interest paid οver the 30 year term οf the refinance is apprοximately $82,670.28.

f) Tοtal interest paid οver the full 40 years:

Tο find the tοtal interest paid οver the full 40 years, we can add up the interest paid during the first 10 years and the interest paid οver the 30 year term οf the refinance:

Tοtal interest = $54,316.57 + $82,670.28

Tοtal interest = $137,986.85

Therefοre, the tοtal interest paid οver the full 40 years the Jacksοns have a lοan fοr the hοuse is apprοximately $137,986.85.

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6. These polygons are similar but not drawn to scale.
30
What is the value of x?
Ox=7.2
Ox 8.6
Ox=215
Ox-258
3
(1 point)

Answers

Answer:

look on the yt theres alot of helpful things on there and ive had to do this simliar things and stuff so thats why yt viedo of this should help you

Step-by-step explanation: try a yt viedo to help on this math i wish you luck

17
Question 17/20
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Cami was building a shelf to put her trophies on.
The drawing of her shelf is shown below.
11 inches
33 inches
BOOKMARK
8 inches
11 inches
What is the volume of Cami's trophy shelf?
cubic inches
8 inches
10 inches

Answers

Cami's trophy rack has a volume of 2904 cubic inches.

What is volume?

In mathematics, volume is the amount of space within a particular 3D object. For example, an aquarium is 3 feet long, 1 foot wide, and 2 feet high. To find volume, multiply length with width and height. This is 3x1x2, or 6. To calculate the volume of Cami's trophy rack, you need to multiply the length, width, and height of the rack. Looking at the drawing provided, you can see that the shelf is 8 inches high, 11 inches wide and 33 inches long.

So the volume of the trophy rack is:

V = 8x11x33

V = 2904 cubic inches

Therefore, the Cami Trophy Rack has a volume of 2904 cubic inches

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Complete question is: Cami was building a shelf to put her trophies on. The drawing of her shelf is shown below.

11 inches

33 inches

8 inches

What is the volume of Cami's trophy shelf? (in cubic inches)

Match each division problem on the left to its quotient on the right.

Answers

When the denominator is zero, the divisor is undefined.

Define the term division?

In mathematics, division is the process of dividing a quantity into equal pieces or groups. Division reverses the effects of multiplication because it is the inverse operation of multiplication. The amount being divided is referred to as the dividend in division, and the number by which it is being divided is referred to as the divisor. The quotient is the outcome of a division operation.

Explanation:

Left side               Right side

0 ÷ 70 = 0            ⇒ Zero

862 / 0                ⇒ Undefined

97 ÷ 0                  ⇒ Undefined

[tex]\frac{0}{764}[/tex]  = 0                 ⇒ Zero                    

When the denominator is zero, the divisor is undefined.

When the molecule is zero, the divisor is zeros.

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