HELP!!
Sally Brown bought a house with a 10% adjustable rate mortgage for 20 years. She was paying $9.66 monthly per thousand on her original loan. At the end of 4 years she owes the bank $55,000. Interest has now gone up to 12%, the bank can renew the mortgage at this rate or Sally can pay the full $55,000. Sally renews the mortgage and will pay $11.02 monthly per thousand on this loan.

What is the amount of the old and new monthly payment? What is the percent of increase in her new monthly payment (to the nearest tenth)?

old payment = $

new payment = $

% increase

Answers

Answer 1

As a result, the percentage decrease in her new monthly payment is 18.1%. (to the nearest tenth).

How to calculate the monthly payment?

To begin, we must determine the original loan amount. Using the information provided, we can construct the following equation:

$55,000 = P(1 + 0.10)^4

P denotes the original loan amount.

When we solve for P, we get:

P = $38,574.09

The old monthly payment is calculated as follows:

$38,574.09 / 1000 x $9.66 = $372.64

We must now compute the new loan amount. Because Sally renewed her mortgage at a 12% interest rate, we can apply the same formula as before, but with a new time period of 16 years (since 4 years have already passed):

Now, we need to calculate the new loan amount. Since Sally renewed the mortgage at a 12% interest rate, we can use the same formula as before, but with a new time period of 16 years (since 4 years have already passed):

$55,000 = P(1 + 0.12)^16

Solving for P, we get:

P = $27,703.25

The new monthly payment can be calculated as:

$27,703.25 / 1000 x $11.02 = $305.23

To find the percent increase, we can use the following formula:

percent increase = ((new value - old value) / old value) x 100

Plugging in the values, we get:

percent increase = (($305.23 - $372.64) / $372.64) x 100 = -18.1%

So the percent of decrease in her new monthly payment is 18.1% (to the nearest tenth).

To know more about percentage  visit:-

https://brainly.com/question/29306119

#SPJ1


Related Questions

Find all roots of the polynomial
p(x)= x^4 - 5x^3 + 7x^2 - 5x + 6 ; i

Answers

Answer:

The roots of p(z) are z = i, 2.91367 + 0.600499i, 1.22097 - 0.362212i, 0.306704 + 1.53771i.

Jhonny has 87 apples, and 90 pears. he needs to make a smoothy for his friends. The resipide needs 45.8 ounces of pear juice and 50 ounces of apple juice. Does Jhonny have enough to make the smoothys for his friends if he has 5 friends? Why or why not.

Answers

No, Johnny does not have enough fruit to make smoothies for his 5 friends because he is short 383.51 ounces of juice.

Complete the following statement. Write your answer as a decimal or whole number.
__% of $5,000 = $3,750

Answers

25% is your answer

Explanation: 0.25 x 5,000 equal 1,250 and 5000 - 1250 equal to 3,750
25%

Percent = change/original

1250/5000 = 0.25

The first quadrant is lava. the rest of the plane (including the x and y axes) is safe. to traverse the lava, you can place a board, which is a line segment of length at most 1, between two safe endpoints. once a board is placed, the line segment becomes safe, and points on it may be used as endpoints of a subsequent board. your goal is to reach the point (2023, 2023).

a. prove that one million boards aren't enough.

b. give a specific number of boards with which you can reach (2023, 2023).

c. prove that one billion boards aren't enough

Answers

Proof that one million boards aren't enough. .Therefore, one million boards are not enough to reach (2023, 2023).

A total of 2023 boards are needed to reach (2023, 2023).

How to explain the problem

This problem is a mathematical puzzle that involves traversing a hazardous area to reach a specific point using a limited number of resources.

The problem is set in the Cartesian plane, where the first quadrant (i.e., the region where both x and y coordinates are positive) is covered with lava, making it impossible to traverse.

Let's assume that we can reach (2023, 2023) with one million boards. We know that each board can cover a distance of at most 1. Therefore, the total distance we can cover with one million boards is at most one million. However, the distance between the origin (0, 0) and (2023, 2023) is ✓2023² + ✓2023² = 2855.9

Learn more about proof on

https://brainly.com/question/29969150

#SPJ1

The base of the parallelogram has a length of 10 cm what is the height 10 cm 12 cm or 14 cm 

Answers

The area of the parallelogram is 140 cm².

What is a parallelogram?

A parallelogram is a quadrilateral having two pairs of parallel sides (a four-sided polygon). This indicates that opposing sides of a parallelogram are parallel, and opposite angles have the same size.

Given :

Base of parallelogram = 10 cm

Height of parallelogram = 14 cm

Area of Parallelogram = B × H  

Area = 10 × 14

Area = 140 cm²

Area of parallelogram is 140 cm².

To know more about parallelogram, visit

brainly.com/question/1563728

#SPJ1

The complete question is:

Please Help! No Silly Answers Please! I would appreciate correct answers. Thank you all! Please try and include Scratch Work, Thank you.​

Answers

Answer:

y in (7,y) = 14

Step-by-step explanation:

A General Linear function is as the following:

y = mx + c, Where: m: slope of the line, c: y-intercept

Given that:

Point 1 (P1) = (1,5)

Point 2 (P2) = (3, 11)

Point 3 (P3) = (7,y)

By substituting in the linear function with P1:

5 = m + c  ---> (1)

By substituting in the linear function with P2:

11 = 3m + c   ---> (2)

By multiplying equation (1) times 3 and subtracting eq. (2) from it:

(15 = 3m + 3c) - (11 = 3m + c) =

4 = 2c

Then, c = 2

By substituting with "c" in eq. (1):

5 = m + 2

Then, m = 3

Hence,

the function of this line is:

y = 3x + 2

So,

to get "y" in P3, we are going to substitute with 7:

y = 3(7) + 2

then "y" in P3 = 23


Another Solution:

by getting the slope of the line:

[tex]Slope = \frac{\triangle y}{\triangle x}[/tex] Where: Δy: change in y points, Δx: change in x points

by utilizing P1 & P2 in slope formula:

[tex]slope = \frac{11 - 5}{3 - 1} = \frac{6}{2} = 3[/tex]

By substituting with P1 in the linear function:

5 = 3 + c

Then, c = 2

the function of the line is:

y = 3x + 2

So,

to get "y" in P3, we are going to substitute with 7:

y = 3(7) + 2

then "y" in P3 = 23



hope you find this easy to understand....

Have any questions? Write in the comments.

give me brainliest if you found this answer useful

HELP ASAP! Complete the square. Formula (b/2)²
a²+ 14a − 51 = 0

A. {-3,17}
B. {3,-17}
C. {-3,-17}
D. {3,17}

Answers

Answer:

B

Step-by-step explanation:

a² + 14a - 51 = 0 ( add 51 to both sides )

a² + 14a = 51

to complete the square

add ( half the coefficient of  the x- term )² to both sides

a² + 2(7)a + 49 = 51 + 49

(a + 7)² = 100 ( take square root of both sides )

a + 7 = ± [tex]\sqrt{100}[/tex] = ± 10 ( subtract 7 from both sides )

a = - 7 ± 10

then

a = - 7 + 10 = 3

a = - 7 - 10 = - 17

The equation of a circle is given below. ( � + 9 ) 2 + ( � − 46 ) 2 = 123 (x+9) 2 +(y−46) 2 =123left parenthesis, x, plus, 9, right parenthesis, squared, plus, left parenthesis, y, minus, 46, right parenthesis, squared, equals, 123 What is its center? ( (left parenthesis , ,comma ) )right parenthesis What is its radius? If necessary, round your answer to two decimal places.The equation of a circle is given below. ( � + 9 ) 2 + ( � − 46 ) 2 = 123 (x+9) 2 +(y−46) 2 =123left parenthesis, x, plus, 9, right parenthesis, squared, plus, left parenthesis, y, minus, 46, right parenthesis, squared, equals, 123 What is its center? ( (left parenthesis , ,comma ) )right parenthesis What is its radius? If necessary, round your answer to two decimal places.

Answers

According to the given question, the center of the circle is (-9, 46) and its radius is approximately 11.09.

What is equation of circle?

The equation of a circle is a formula that describes the relationship between the x and y coordinates of any point on the circle.

The standard equation of circle is:

(x - h)²+(y - k)²=r²

This equation states that the sum of the squares of the differences between the x-coordinate and the center, and the y-coordinate and the center, is equal to the square of the radius.

The equation of the circle is given by (x+9)² + (y-46)² = 123.

Comparing this to the standard equation of a circle, (x-h)² + (y-k)² = r², we can see that the center of the circle is (-9, 46) and the radius is √(123) = 11.09.

To know more about equation visit:

https://brainly.com/question/23519482

#SPJ1

(i) Simplify the expression (p - 2q)² - p(p - 4q). (ii) Hence, by substituting a suitable value of p and of q, find the value of 5310² - 5330 × 5290.​

Answers

After answering the presented question, we can conclude that expression Therefore, the value of 5310² - 5330 × 5290 when p = 5330 and q = 10 is 400.

what is expression ?

An expression in mathematics is a collection of representations, digits, and conglomerates that mimic a statistical correlation or regularity. A real number, a mutable, or a combination of the two can be used as an expression. Mathematical operators include addition, subtraction, rapid spread, division, and exponentiation. Expressions are often used in arithmetic, mathematics, and form. They are employed in the representation of mathematical formulas, the solving of equations, and the simplification of mathematical relationships.

(i)

(p - 2q)² = p² - 4pq + 4q²

p(p - 4q) = p² - 4pq

(p - 2q)² - p(p - 4q) = (p² - 4pq + 4q²) - (p² - 4pq)

(p - 2q)² - p(p - 4q) = 4q²

(ii)

(5330 - 2×10)² - 5330(5330 - 4×10) = 4×10²

(5310)² - 5330 × 5290 = 400

Therefore, the value of 5310² - 5330 × 5290 when p = 5330 and q = 10 is 400.

To know more about expression visit :-

https://brainly.com/question/14083225

#SPJ9

dr. yanira is an education specialist and has begun observing various schools throughout the county. dr. yanira randomly selected a private school in the area with the highest per-capita income to be her first school observation. she decided to base her request for budget, school supplies, and school lunches, among many other things, on that single observation. what is the main issue with her results from that single observation?

Answers

Dr. Yanira's main issue is that basing her request on a single observation of a private school with the highest per-capita income may not be representative of the broader population of schools in the county, and the observation could be biased and not provide a true representation of the overall situation.

The main issue with Dr. Yanira basing her request for budget, school supplies, and school lunches, among other things, on a single observation of a private school with the highest per-capita income in the area is that the results may not be representative of the broader population of schools in the county.

The sample of one school may not be statistically significant or diverse enough to draw valid conclusions about the entire population of schools. The observation could be biased and may not provide a true representation of the overall situation. Therefore, it is important to use a larger and more diverse sample to draw more reliable conclusions.

To know more about per-capita income:

https://brainly.com/question/14396320

#SPJ4

Please help me i dont know how to solve it

Answers

Answer:

25 + 55 + 45 + 10 = 135 runners.

B is correct.

I need an answer as soon as possible

Answers

Answer:

A. The rate of change of the table is equal to the rate of change of the graph.

What is the difference in the measures of center

Answers

There are three measures of the “center” of the data. They are the mode, median, and mean. Any of the values can be referred to as the “average.” The mode is the data value that occurs the most frequently in the data

WILL GIVE BRAINLIEST

Simplify the expression. Write the answer using scientific notation. (0.4x10^-6)(0.7x10^-2) 0.28 x 10^−9 2.8 x 10^−8 2.8 x 10^−9 2.8 x 10^−7

Answers

To multiply two numbers in scientific notation, we multiply their coefficients and add their exponents. So:

(0.4x10^-6)(0.7x10^-2) = (0.4)(0.7)x10^(-6-2) = 0.28x10^-8

Therefore, the answer is 0.28 x 10^−8 in scientific notation.

Express cos � L as a fraction in simplest terms.

Answers

Answer:

  cos(L) = (√46)/11

Step-by-step explanation:

You want cos(L) in simplest terms, given right triangle side lengths LK=√46 and JK=√75.

Cosine

The cosine is the ratio ...

  Cos = Adjacent/Hypotenuse

The side adjacent to vertex L is LK. The hypotenuse of the triangle is LJ. This means the desired ratio is ...

  cos(L) = LK/LJ

Pythagorean theorem

The length of hypotenuse LJ can be found using the Pythagorean theorem.

  LJ² = LK² +JK²

  LJ² = (√46)² +(√75)² = 46 +75 = 121

  LJ = √121 = 11

Ratio

Then the desired ratio is ...

  cos(L) = (√46)/11

If a square has an area that is 49 square feet or less, what are the possible lengths x for the side of the square. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. ft A. The possible lengths x for the side of the square is the interval, (Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the expression.) B. The possible lengths x for the side of the square is the list of values, x = ft. (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed.) C. There are no possible lengths x for the side of the square.

Answers

The possible lengths x for the side of square A. The possible lengths x for the side of the square is the interval [-7,7].

Since the area of a square is given by the formula A = x^2, where x is the length of the side, we can solve for x to find the possible lengths of a square with area 49 square feet or less.

A ≤ 49

x^2 ≤ 49

|x| ≤ 7

So the possible lengths for the side of the square are any values of x between -7 and 7, inclusive.

Therefore, the answer is: A. The possible lengths x for the side of the square is the interval [-7,7].

Click the below link, to learn more about Area of square:

https://brainly.com/question/1658516

#SPJ11

The marketing team suggest that the proposed container will sell for a higher price of $3.97 our cost an additional $.50 each to make how much profit would the new one

Answers

The profit for the new container would be 3.47 each.

The gain from any business operation is referred to as profit. Every time a merchant sells a product, his goal is to make

a profit by getting something from the customer. In other words, if he sells the goods for more than the cost price, he

makes a profit; yet, if he needs to sell them for less, he loses money.

To calculate the profit for the new container, you need to follow these steps:

Determine the selling price. The marketing team suggests that the proposed container will sell for 3.97.

Determine the additional cost to make the new container. It will cost an additional 0.50 each to make.

Calculate the profit. Subtract the additional cost from the selling price to find the profit for the new container.

Profit = Selling Price - Additional Cost

Profit = 3.97 - 0.50

Profit = 3.47

So, the profit for the new container would be 3.47 each.

for such more question on profit

https://brainly.com/question/942181

#SPJ11

find the area of sector and the arc length. leave pi in answer; no decimals!

Answers

The arc length of the sector is 10π inches, and the area of the sector is 60π square inches.

What is the arc length and area of the sector of a circle?

Arc length = [tex] \frac{ \theta}{ {360}^{o} } \times 2\pi \: r[/tex]

Area of sector = [tex] \frac{ \theta}{ {360}^{o} } \times \pi \: {r}^{2} [/tex]

Where r is the radius of the circle, angle is the central angle in degrees, and π is the mathematical constant pi (approximately equal to 3.14159).

Given that the angle is 150° and the radius is 12 inches, we can substitute these values into the formulas to get:

Arc length

[tex]= \frac{150}{360} \times 2π(12) \\ = \frac{5}{12} \times 2π(12) \\ = 10π \: inches[/tex]

Area of sector

[tex]= \frac{150}{360} \times π(12)^2 \\ = \frac{5}{12} \times π(144) \\ = 60π \: square \: inches[/tex]

Therefore, the arc length of the sector is 10π inches, and the area of the sector is 60π square inches.

Learn more about circle here:

https://brainly.com/question/24375372

#SPJ1

SOMEONE PLEASE HELP ME MY GRADE WILL GO DOWN IF I DONT GET THIS TURNED IN

will give brainliest 80 points

Answers

Answer: the value of x is 29

Step-by-step explanation:

Answer:

it's in the attachment

Step-by-step explanation:

the one that are the same value as the given value on the transversals are either opposite interior angles or opposite exterior angles

the ones that have different values as the given value on the transversal are subtracted from 180⁰

Q5
The graph represents a relation where x represents the independent variable and y represents the dependent variable.

a graph with points plotted at negative 5 comma 1, at negative 2 comma 0, at negative 1 comma negative 1, at 0 comma 2, at 1 comma 3, and at 5 comma 1 Is the relation a function? Explain.

No, because for each input there is not exactly one output.
No, because for each output there is not exactly one input.
Yes, because for each input there is exactly one output.
Yes, because for each output there is exactly one input.

Answers

The relatiοn is nοt a functiοn. The cοrrect answer is "Nο, because fοr each input there is nοt exactly οne οutput."

Why is the given relatiοn nοt a functiοn?

Lοοking at the given pοints, we can see that the input x = -5 has an οutput y = 1, and the input x = 5 alsο has an οutput y = 1.

This means that there are twο different inputs (x-values) that cοrrespοnd tο the same οutput (y-value), viοlating the definitiοn οf a functiοn.

Tο determine if the relatiοn is a functiοn, we need tο check if fοr each input (x-value), there is exactly οne οutput (y-value).

Therefοre, the relatiοn is nοt a functiοn. The cοrrect answer is "Nο, because fοr each input there is nοt exactly οne οutput."

To learn more about relation, visit:

https://brainly.com/question/26098895

#SPJ1

Franklin has a credit card with an APR of 28.2%. If he charges a purchase for $1,520, what is the estimated amount Franklin will pay in finance charges on that purchase?

Answers

The estimated amount Franklin will pay in finance charges on his $1,520 purchase is $35.07.

What is annual percentage rate?

Annual Percentage Rate (APR) is the annual rate charged for borrowing or earned through an investment and is expressed as a percentage that represents the actual yearly cost of funds over the term of a loan or investment.

The finance charges on a credit card purchase can be calculated using the following formula:

finance charges = (APR/365) * balance * number of days

Where APR is the annual percentage rate, balance is the amount of the purchase, and the number of days is the time period for which the finance charges are being calculated.

Assuming that Franklin does not make any payments towards his credit card balance during the billing period, the number of days for which finance charges will be calculated will be equal to the billing cycle. Let's assume a billing cycle of 30 days for this example.

Using the formula above, we can calculate the finance charges as follows:

finance charges = (28.2%/365) * $1,520 * 30

= (0.00077397) * $1,520 * 30

= $35.07 (rounded to the nearest cent)

Therefore, the estimated amount Franklin will pay in finance charges on his $1,520 purchase is $35.07.

To learn more about rate of interest visit:

https://brainly.com/question/29451175

#SPJ1

2. Write - (3i) in the form a + bi, where a and b are real numbers.

Answers

classify the different measurement systems into one of the four types

of scales. (Exercise)

1. Your checking account number as a name for your account.

2. Your checking account balance as a measure of the amount of money you

have in that account

3. The order in which you were eliminated in a spelling bee as a measure of your

spelling ability.

4. Your score on the first statistics test as a measure of your knowledge of

statistics.

5. Your score on an individual intelligence test as a measure of your

intelligence.

6. The distance around your forehead measured with a tape measure as a

measure of your intelligence.

7. A response to the statement "Abortion is a woman's right" where "Strongly

Disagree" = 1, "Disagree" = 2, "No Opinion" = 3, "Agree" = 4, and "Strongly

Agree" = 5, as a measure of attitude toward abortion.

8. Times for swimmers to complete a 50-meter race

9. Months of the year Meskerm, Tikimit…

10.Socioeconomic status of a family when classified as low, middle and upper

classes.

11. Blood type of individuals, A, B, AB and O.

12.Pollen counts provided as numbers between 1 and 10 where 1 implies there is

almost no pollen and 10 that it is rampant, but for which the values do not

represent an actual counts of grains of pollen.

13.Regions numbers of Ethiopia (1, 2, 3 etc.)

14.The number of students in a college;

15.the net wages of a group of workers;

16.the height of the men in the same town;

If Oscar the ostrich travels 215 miles in 5 hours on land, how fast does he travel?

Answers

To calculate Oscar's speed, we can use the formula:

Speed = Distance ÷ Time

where distance is measured in miles and time is measured in hours.

In this case, Oscar traveled 215 miles in 5 hours. So we can plug these values into the formula and get:

Speed = 215 miles ÷ 5 hours
Speed = 43 miles per hour

Therefore, Oscar the ostrich traveled at a speed of 43 miles per hour on land.

please help!! x-4.7y+9.1 + -x+5.8=12.4

Answers

The solution to the system of equations is x = 5 and y = 3.

What is Algebraic expression ?

An algebraic expression is a mathematical phrase that can contain variables, constants, and operators (such as addition, subtraction, multiplication, and division) that are used to represent quantities and their relationships.

To solve the system using addition, we want to add the two equations together in a way that eliminates one of the variables. In this case, we can add the two equations directly because the x term will cancel out:

X - 4.7y = -9.1

+(-x + 5.8 = 12.4)

1.1y = 3.3

Now we can solve for y by dividing both sides by 1.1:

y = 3.3 ÷ 1.1

y = 3

Substituting y = 3 back into one of the original equations, we can solve for x:

x - 4.7y = -9.1

x - 4.7(3) = -9.1

x - 14.1 = -9.1

x = 5

Therefore, the solution to the system of equations is x = 5 and y = 3.

To learn more about Algebraic expression from given link.

brainly.com/question/31238826

#SPJ1

When you dilate by a scale factor greater than 1 the figure shrinks.
True
False

Answers

Answer:

true

Step-by-step explanation:

I need help desperately I'll give 30 points any silly answers will be reported anyways PLEASE HELP ME THIS IS URGENT I WILL GIVE BRAINLIEST ​

Answers

The solution to the operations of similar triangles are:

ΔABC is similar to ΔEDC

They are similar triangles by AAA Similarity rule

x = 24

How to Identify Similar Triangles?

Similar triangles are defined as triangles that have the same shape, but their sizes may vary. Thus, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.

From the given image, we can see that:

AB is parallel to DE

Thus:

∠BAE ≅ ∠DCA because they are both alternate angles

Similarly:

∠ABD ≅ ∠EDB because they are both alternate angles

We can also say that:

∠ACB ≅ ∠DCE because they are both opposite angles

Thus: ΔABC is similar to ΔEDC

They are similar triangles by AAA Similarity rule

Using similar triangles ratio, we can say that:

x/15 =  16/10

x = (16 * 15)/10

x = 24

Read more about Similar Triangles at: https://brainly.com/question/14285697

#SPJ1

a sampling distribution is created using samples of the ages at which 48 children begin reading, what would be the mean of the sampling distribution of sample means? round to two decimal places, if necessary.

Answers

The mean of the sampling distribution of sample means is approximately 5.2 ± 0.1339.

When a sampling distribution is created using samples of the ages at which 48 children begin reading, the mean of the sampling distribution of sample means can be calculated by dividing the population mean by the square root of the sample size. This is known as the standard error of the mean and is denoted as SE.

The formula for calculating the standard error of the mean is:

SE = σ / √n

where σ is the population standard deviation and n is the sample size.In this case, the sample size is 48 children. Since the population standard deviation is not given, it is assumed that the sample standard deviation is used as an estimate of the population standard deviation. The formula for calculating the sample standard deviation is:

S = √[(Σ(x - μ)²) / (n - 1)]

where S is the sample standard deviation, Σ is the sum of the squared deviations from the mean, x is the value of each observation, μ is the mean of the sample, and n is the sample size.Using the data given, the sum of the squared deviations from the mean is:

Σ(x - μ)² = (6 - 5.2)² + (8 - 5.2)² + (7 - 5.2)² + (9 - 5.2)² + (4 - 5.2)² + (7 - 5.2)² + (6 - 5.2)² + (5 - 5.2)² = 2.56 + 5.76 + 1.44 + 12.96 + 1.44 + 1.44 + 0.36 + 0.04 = 26.4

The sample standard deviation is:S = √[26.4 / (48 - 1)] = 0.9197Using the formula for standard error of the mean, the mean of the sampling distribution of sample means is:

SE = σ / √n= 0.9197 / √48≈ 0.1339

for more questions on mean

https://brainly.com/question/1136789

#SPJ11

every day, kymere takes the same street from his home to the university. there are multiple traffic lights with patterns along the way. if there is a green light while passing through an intersection, then 60% of the time the next light is also green and 25% of the time the next light is red. if the light is yellow, then there is a probability of 1 that the next light is red. if there is a red light, then 30% of the time the next light is green and 50% of the time the next light is red. (a) does this situation represent a markov chain? explain. (b) set up the transition probability matrix and diagram. (c) determine the number of classes and classify them. (d) the first light is green. compute and interpret all probabilities after three more lights. (e) if kymere has many street lights between home and the university, what proportion of these lights are green, yellow, and red? [no technology estimations permitted. solve this problem with a system of equations showing every step and fraction answers only.]

Answers

The proportion of green lights is 0.4286.

(a) Yes, this situation is a Markov chain since the probability of transitioning to a new traffic light state only depends on the current state.

(b) Transition probability matrix:

G Y R

[tex]G 0.60 0.00 0.40[/tex]

[tex]Y 1.00 0.00 0.00[/tex]

[tex]R 0.30 0.00 0.50[/tex]

(c) There is only one class, as all states can be reached from any other state.

(d) After three more lights, the probability of being in each state is:

G Y R

G 0.3240 0.0000 0.6760

Y 0.5000 0.0000 0.5000

R 0.3150 0.0000 0.6850

(e) The proportion of green lights can be found by solving the steady-state equation. Assuming there are n traffic lights, the system of equations would be:

[tex]0.60g + 0.30r[/tex]= g

[tex]0.00g + 0.00r[/tex] = r

[tex]0.40g + 0.50r[/tex] = r

g + y + r = 1

Solving this system gives g =[tex]0.4286[/tex], y = [tex]0.1429[/tex], and r = [tex]0.4286.[/tex]

for such more questions on probability

https://brainly.com/question/24756209

#SPJ11

Line v has an equation of y=–10/9x–3. Perpendicular to line v is line w, which passes through the point (2,3). What is the equation of line w?

Answers

The equatiοn οf the line w will be equal tο y = (1/109)x + (325/109).

What is an equatiοn οf the line?

The definitiοn οf an equatiοn οf the line is a linear equatiοn with degree 1. X and Y are twο variables in the equatiοn fοr the line. The slοpe οf the line, which reflects the elevatiοn οf the line, is the third parameter.

The general fοrm οf the equatiοn οf the line:-

y = mx + c

m = slοpe

c = y-intercept

Given that Line, v has an equatiοn οf y=–109x–3. Perpendicular tο line v is line w, which passes thrοugh the pοint (2,3).

The slοpe οf the required line will be inverse and the οppοsite οf the given line,

m = 1/109

The intercept will be calculated as,

y = mx + b

3 = (1/109)2 + b

3 = 2/109 + b

327/109 = 2/109 + b

325/109 = b

The equatiοn οf the line is written as,

y = (1/109)x + (325/109)

Therefοre, the equatiοn οf the line w will be equal tο y = (1/109)x + (325/109).

To know more about an equation

brainly.com/question/7098341

#SPJ1

A path 2.5 M is running around a square field whose side is 45 M find area path

Answers

The area of the path running around the square field is 475 square meters.

To find the area of the path running around a square field with a side of 45 meters and a path width of 2.5 meters,

Calculate the area of the entire square (including the path):

Side of the larger square = 45 M (side of the field) + 2.5 M (width of the path on one side) + 2.5 M (width of the path on the opposite side) = 50 M

Area of the larger square = (Side of the larger square)²

                                          = (50 M)²

                                          = 2500 M²

Calculate the area of the square field (without the path):

Side of the field = 45 M

Area of the square field = (Side of the field)²

                                       = (45 M)²

                                       = 2025 M²

Subtract the area of the square field from the area of the entire square to find the area of the path:

Area of the path = Area of the larger square - Area of the square field

                           = 2500 M² - 2025 M²

                           = 475 M²

So, the area of the path running around the square field is 475 square meters.

for such more question on area

https://brainly.com/question/15822332

#SPJ11

Other Questions
suppose 42% of the population has myopia. if a random sample of size 442 is selected, what is the probability that the proportion of persons with myopia will differ from the population proportion by less than 3% ? round your answer to four decimal places. What do i need to know Unit 1: Foundations of Reading. Responding, and Interacting with LiteratureTopic: My High School ExperiencePerformance Assessment 1In this assessment, you will utilize the writing process to write a formal email correspondence anda short reflective essay about personal connections to the selected topic.Part 1: Email Correspondence PitchYou will take on the role of a writer corresponding to a literary magazine editor. Draft a formalcorrespondence email that pitches your idea for a reflective essay on a text in which you haveinterest and request permission to publish your essay in their literary magazine. In your emailpitch, include a summary of the types of connections and reflections you intend to make in yourreflective essay and why it will be an interesting read for the literary magazine's audience.Use the writing process to help you construct an error-free, cohesive correspondence.1. Brainstorm ideas for your email correspondence by answering the following questions.What is my main message in this email? IF SOMEONE PLEASE HELP The volume of a cylinder is 1540cm^3 and the difference of its height and radius is 3cm then, find the total surface area of the cylinder. which of the following statements best illustrates the relationship between the market for products and the market for resources? group of answer choices an increase in the price of cameras will decrease the demand for film. as income rises, people demand relatively smaller amounts of food. an increase in the demand for textiles will increase the demand for textile workers. an increase in the price of butter will cause more people to buy margarine. a decrease in the demand for tea will increase the demand for coffee. it is a reciept note that the customer used to validate the reciept of an ordered product.A. Sales orderB. GRNC. RQFD. Purchase order Read the sentence. The Constitution gives the president the power to veto (reject) a bill. How can Congress override a presidential veto and pass a bill?if two-thirds of those present in the House and Senate vote for it if the public supports it and disagrees with the presidents vetoif the Speaker of the House changes the presidents mindif half of those present in the House and Senate vote for it can yall pls help me with this? hydrochlorothiazide (hctz) has been prescribed for a client with hypertension. the client reports hearing that furosemide is more effective and requests a prescription change. how will the nurse respond? you want to save $12,000 for a downpayment on a house. how much should be put into an account that pays 3.95% interest compounded continuously for 5 years which of the following would be most effective in implementing the findings of a new clinical treatment for problems associated with bowel motility for the staff nurses?which of the following would be most effective in implementing the findings of a new clinical treatment for problems associated with bowel motility for the staff nurses?lecture by a nurse practitionerworkshop for surgical nurses that involves discussion of case studies and application of evidencediscussion of the findings on the bulletin boards at the workstationeducation of unit opinion leaders regarding the evidence presented in the studies fter three years on the market, the carry tu line has established itself in the market, and all four product items are experiencing steady market growth. the competitor, grazzi, has seen slow market growth. in response, grazzi decides to cut prices by 10%. the grazzi satchel, overnight bag, laptop bag, and card-holder keychain are now cheaper than the corresponding carry tu bags. what is your pricing strategy recommendation to your marketing team in response to grazzi's price decrease? question 27 if the analytics for your video campaign shows people are only watching the first few seconds of your video, what can you do to try and amend this? Which word is not a good way to describe exercise? sam buys a laptop for R6 840 (including VAT). Determine the price of the laptopwithout VAT (excluding VAT). VAT = 15% on an average day, anozie gallery writes 19 checks for an average amount of $796 per check. these checks clear the bank in an average of two days. what is the average amount of the disbursement float? assuming a company has a mixed cost structure (i.e., costs include both fixed and variable costs), how will the total per unit cost usually change if the production level rises? BRAINLIEST TO WHOEVER IS RIGHTThere are 13 possible toppings at the local ice cream shop. You can have 3 toppings on a large sundae. How many combinations of ice cream toppings are possible?plsss i need this done yall! help a girl out! when we always over-forecast calls by 1%, the cost to aaa-washington is $500,000. when we always under-forecast calls by 1%, the cost to aaa-washington is $1,000,000. group of answer choices 1. forecast errors will cost aaa between $500,000 and $1,000,000 2. forecast errors will cost aaa between $17,000,000 and $34,000,000 3. forecast errors will cost aaa between $3,430,000 and $6,860,000 4. forecast errors will cost aaa between $1,800,000 and $3,600,000 Help on this question