Beth and Bryce sign on a $205,000 mortgage at a 5% annual interest rate for 30 years. This results in a monthly payment of $1100.48. If only the minimum payment is made in month one, how much of the first payment goes toward reducing her balance?

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The graph of the given situation is required.

The required graph is attached.

Let x be the cost of each seat

and y be the cost of additional snack.

Cost of seat = $20

Cost of snack = $5

Total cost = $400

The linear equation will be

Finding two points

Join the points and the graph representing the situation is obtained.

The probability of getting either 1 or 6 more than two times is P(T)=121/1296

To find the probability we use the binomial distribution.

Here we have 4 independent experiments. Each time, the sample space is (1,2,3,4,5,6) so the prob of getting a 6 is 1/6.

so p=1/6

prob of coming 6 and q= 1-p = 1-(1/6)=5/6

prob of not coming 6 is 5/6

p= prob of success. here our success event is getting 6

q= prob of failure. here our failure event is not getting 6

no of trials n=4

now using the binomial distribution formula:

ncr(p)^n(1-p)^r

here we want at least two 6, desirable outcomes are two 6 or three 6, or four 6 because at least two 6 doesn't mean that we can't get more than two 6 .

so r in these cases take the value of 2,3,4 respectively.

so for r=2

c(4,2)*(1/6)^2*(5/6)^2

P(A)=  150/1296

for r=3

c(4,3)*(1/6)^3*(5/6)^1

P(B)= 20/1296

for r = 4

c(4,4)*(1/6)^4*(5/6)^0

P(C)= 1/1296

here we will add these prob ..Getting two 6 fulfills our condition so we will stop and calculate the prob and keep it aside

now adding these we get P(T)=P(A)+P(B)+P(C).

(150/216) +(20/216) + (1/216)

P(T)= 171/1296

To know more about binomial distribution:

https://brainly.com/question/9325204

#SPJ4

The value stored in the variable x after the execution of the following code snippet will be b) 2.

The right-click context menu option or a combination of hotkeys can be used to add code snippets, which are compact chunks of reusable code, to a code file. Although try-finally and if-else blocks, for example, are frequently used code blocks found in code snippets, you can also use them to add whole classes or methods.

Learn more about using the templates tool to create reusable emails. Applications and web pages use snippets. Snippets are made to be reusable and to add functionality, like connecting various parts of a program.

To learn more about code snippet: https://brainly.com/question/29845639

#SPJ4

Answer:

see explanation

Step-by-step explanation:

Consecutive angles of a parallelogram are supplementary, thus

∠ M + ∠ N = 180 , substitute values

3x + 8x - 40 = 180, that is

11x - 40 = 180 ( add 40 to both sides )

11x = 220 ( divide both sides by 11 )

x = 20

Thus

∠ M = 3x = 3(20) = 60°

∠ N = 8x - 40 = 8(20) - 40 = 160 - 40 = 120°

Answer:

Area of a rectangle = l*b

88b = 5104

b = 5104/88

b = 58

Therefore, the width of the rectangle is 58cm

The population variance is closest to 67.43, hence option C: 67.00, by referring the formula for population variance where N plays the number of data points.

The following gives the formula for population variance:

σ2 = (1 /N) ∑ (xi – μ) 2

Where:

σ2 refers to the population variance.

N refers to the total number of data points

∑ (xi – μ) 2 is the sum of the squared differences between each data point and the mean of the population.

For example, consider a population with data values of 12, 8, 28, 22, 12, 30, 14. The mean of this population is:

12+8+28+22+12+30+14)/7 = 18.

The population variance is calculated as follows:

σ2 = (1/7) [(12-18)2 + (8-18)2 + (28-18)2 + (22-18)2 + (12-18)2 + (30-18)2 + (14-18)2]

= 67.43

Therefore, the population variance is closest to 67.43.

To know more about population variance, refer:

https://brainly.com/question/30884734

#SPJ4

Complete question is:

Consider a population with data values of 12 8 28 22 12 30 14. The population variance is the closest to:

A. 8.00

B. 8.64

C. 67.00

D. 74.67

Answer:

A

Step-by-step explanation: Because they can be written as a decimal

Answer:

22.69 = 22 + 0.6 + 0.09

Step-by-step explanation:

Distributive Property:

22.69 = 22 + 0.6 + 0.09

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

10

Step-by-step explanation:

2-digit numbers are numbers that have two digit which they start from 10-99 so in this question i chose 10 as an example.

Answer:

x^2 = 5

x = ±√5

Answer:

x = ± \(\sqrt{5}\)

Step-by-step explanation:

Given

x² = 5 ( take the square root of both sides )

x = ± \(\sqrt{5}\) , that is

x = \(\sqrt{5}\) or x = - \(\sqrt{5}\)

Answer: 4x^4

Hope this helps! :)

Step-by-step explanation:

Simplifying

48x4 = 44x5

Solving

48x4 = 44x5

Solving for variable 'x'.

Combine like terms: 44x5 + -44x5 = 0

48x4 + -44x5 = 0

Factor out the Greatest Common Factor (GCF), '4x4'.

4x4(12 + -11x) = 0

Ignore the factor 4.

EDIT: I hope this makes u happy!!! :D

Check the picture below.

\(\cfrac{17.5+14}{17.5}~~ = ~~\cfrac{x}{12.5}\implies \cfrac{(17.5+14)(12.5)}{17.5}~~ = ~~x\implies 22.5=x\)

Answer:

$8.5

Step-by-step explanation:

Oki, so you have your info laid out. Find out the payment of each material with how much of each material then add it up and subtract from 20. For an easier way, I'll show you.

Two 3-ring binders, each 3-ring binder costs 2.75 so you'll have 2.75 x 2, which equals up to 5.5

Three packages of pencils, each package costs 1.50, therefore it's 1.50 x 3, which is 4.5

Next, two erasers, each one being .75 cents, .75 x 2 is 1.5

Now, add them all. 5.5 + 4.5 + 1.5 = 11.5

Subtract that from $20, 20 - 11.5 = 8.5

Ashton will get $8.5 back.

Answer:

m = \(\frac{2-p}{n}\)

Step-by-step explanation:

Given

mn + p = 2 ( subtract 2 from both sides )

mn = 2 - p ( isolate m by dividing both sides by n )

m = \(\frac{2-p}{n}\)

Answer:

a,d,b,a

Step-by-step explanation:

As similarity theorem, the value of x that will make the triangles similar by SSS similarity theorem is 77.

Similarity theorem:

In math, similarity theorem refers the line segment splits two sides of a triangle into proportional segments if and only if the segment is parallel to the triangle's third side.

Given,

Here we need to find the t value of will make the triangles similar by the similarity theorem.

For example, we are told that the 2 triangles are similar by SSS theorem.

Here we know that, SSS means Side - Side -Side and it is a congruence theorem which states that the 3 corresponding sides of two triangles have same ratio, then we can say that the two triangles are congruent by SSS theorem

Therefore, in the triangles ,applying the SSS postulate gives;

=> x/35 = 44/20

Then by applying the multiplication property of equality, let us multiply both sides by 35 to get;

=> x = (44 * 35)/20

When we simplify this one then we get,

=> x = 77

Therefore, the value of x is 77.

To know more about Similarity theorem here.

https://brainly.com/question/24167205

#SPJ4

No, if events A and B are disjoint (i.e., they have no common outcomes), they cannot be independent.

Independence between two events implies that the occurrence or non-occurrence of one event does not affect the probability of the other event. However, if events A and B are disjoint, it means that if one event occurs, the other cannot occur simultaneously. This implies a strong relationship between the events, and thus they cannot be independent.

To further understand this, let's consider the definition of independence. Two events A and B are independent if and only if the probability of their intersection is equal to the product of their individual probabilities: P(A ∩ B) = P(A) * P(B). However, since A and B are disjoint, their intersection is empty (i.e., A ∩ B = Ø), which means that the probability of their intersection is zero. Therefore, the equality P(A ∩ B) = P(A) * P(B) does not hold, indicating that A and B cannot be independent.

Learn more about probabilities here:

https://brainly.com/question/32117953

#SPJ11

According to the given information, we can draw the following

As you can observe in the image, MP is formed by OM plus PO by the sum of segments theorem, so using the given information, we have

Answer:

-3(2t - 1) = t + t + t + 3

-6t + 3 = 3t + 3

-6t -3t = 3t - 3t +3

-9t + 3 - 3 = 0

9t = 0

t = 0

Step-by-step explanation:

Answer:

Slope of green line: -2/3

Explanation:

Rise is -2

Run is 3

The number less than 3,000.when you divide me by 32, my remainder is 30. when you divide me by 58, my remainder is 44 is one of this {798, 1726, 2654}.

There exists a, b∈N such as

N= 30+32a=44+58b

Therefore,

16a-29b= 22-15=7

Let us notice that 5×29-9×16=1

Therefore, 35×29-63×16=7

Hence, a= -63 is a non-fundamental solution to our equation.

We can show that the other solution are of the form a=-63+29k, with k∈Z

Therefore, the first positive solutions are

a= -63+3×29= 24

N= 798

a= -63+4×29= 53

N= 1726

a= -63+5×29=82

N= -63+6×29= 111

N= 3582

Therefore, the number is one of {798, 1726, 2654}.

For such more questions about simple equations:

https://brainly.com/question/294161

#SPJ4

The number of servings that a 1.5 liter (1500ml) bottle of soda will make is 6 servings of 0.25 liter (250ml).

To find the number of servings, you can divide the total volume of the bottle by the volume of each serving.
Step-by-step explanation:
1. Convert the volume of the bottle to milliliters: 1.5 liters = 1500 milliliters
2. Convert the volume of each serving to milliliters: 0.25 liters = 250 milliliters
3. Divide the total volume of the bottle by the volume of each serving: 1500 milliliters / 250 milliliters = 6 servings
Therefore, a 1.5 liter (1500ml) bottle of soda will make about 6 servings of 0.25 liter (250ml).

You can learn more about servings at: brainly.com/question/19510403

#SPJ11

Answer:

Not sure which was your intended, but here are two options.

Step-by-step explanation:

For all the statements, the possibilities and the scenarios are given. Where A or B will be empty set or subset of one other.

A. If Scenario 1: B being a subset of A is true, then AB = A might be plausible.

B. If Scenario 1: A is a subset of B is true, then AB = A might be plausible.

C. If Scenario 1: B is an empty set, A-B=A might be conceivable.

Since B = in this instance, A-B=A under all circumstances.

D. Scenario 1: All the components of A are also present in B may be true if AB = BA is conceivable. Or to put it another way, A and B are subsets of one another.

E. Scenario 1: When A=B could lead to the possibility that A-B= B-A.

In this instance, A-B and B-A will always have the same outcome.

Learn more about Sets:

https://brainly.com/question/17163266

#SPJ4

Answer:

Step-by-step explanation:

So

1/10 = 0.1