7h + 3 = 7(2+h) -11
this is my question

The Munks saved $4444 by exercising the increase-in-payment option.

a) The first step is to compute the payment that would be made on a $175000 15-year loan at 6.25 percent compounded semi-annually over five years. Using the formula:

PMT = PV * r / (1 - (1 + r)^(-n))

Where PMT is the monthly payment, PV is the present value of the mortgage, r is the semi-annual interest rate, and n is the total number of periods in months.

PMT = 175000 * 0.03125 / (1 - (1 + 0.03125)^(-120))

= $1283.07

The Munks pay $1300 each month, which is rounded up to the nearest $100. At the end of five years, the mortgage balance will be $127105.28.
b) Over the remaining 10 years of the mortgage, the balance of $127105.28 will be amortized with payments of $1430 each month. The Munks pay an extra $130 per month, which is 10% of their new payment.

The additional $130 per month will be amortized by the end of the mortgage term.
c) Without the increase-in-payment option, the Munks would have paid $1283.07 per month for the entire 15-year term, for a total of $231151.20. With the increase-in-payment option, they paid $1300 per month for the first five years and $1430 per month for the remaining ten years, for a total of $235596.00.

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Answer: That is a fraction. As an improper fraction, it's 17/6.

Step-by-step explanation:

Answer:

Now, 2 5/6 is a mixed fraction. To convert a mixed fraction to an improper fraction, we have to calculate (2 + 5/6). 2 + 5/6 = (12 + 5) / 6 = 17/6. Hence, 2 5/6 as a fraction is equal to 17/6.

Evaluating each indefinite integral (a)  5(1/2)sin(2x) + 3e^(-dz)x + C, where C is the constant of integration. (b)  ∫(sinx(-3x-3))/(2819 + 7e^dx)dx

(a) The indefinite integral of 5cos(2x) + 3e^(-dz) can be evaluated as follows:

∫(5cos(2x) + 3e^(-dz))dx = 5∫cos(2x)dx + 3∫e^(-dz)dx

Using the integral properties, we have:

= 5(1/2)sin(2x) + 3∫e^(-dz)dx

The integral of e^(-dz)dx can be simplified by considering dz as a constant. Therefore:

= 5(1/2)sin(2x) + 3e^(-dz)x + C

where C is the constant of integration.

(b) The indefinite integral of sinx(2x-5x-3)/(2819 + 7e^dx) can be evaluated as follows:

∫sinx(2x-5x-3)/(2819 + 7e^dx)dx

We can simplify the integrand by factoring out the common term sinx:

= ∫(sinx(2x-5x-3))/(2819 + 7e^dx)dx

= ∫(sinx(-3x-3))/(2819 + 7e^dx)dx

Now we can integrate the simplified expression, which requires further techniques or approximations depending on the specific values of x, e, and the limits of integration.

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Answer:

(Choice B) B It decreases.

Step-by-step explanation:

According to the situation, the solution of the value of the expression is as follows

Let us assume

r         80 -2r

5        80 - 10 = 70

4        80 - 8 = 72

3        80 - 6 = 74

2        80 - 4 = 76

1         80 - 2 = 78

As we can from the above calculation that expression value risen if r value decreased

Therefore the correct option is B.

Answer:

It increases

Step-by-step explanation:

Answer:

5.12 * 10^6

Step-by-step explanation:

Answer:

20l 10w or it could be the other way around

The greatest area of water she can enclose is 2500 m².

A rectangle is a 2-dimensional quadrilateral with four right angles.

Perimeter of a rectangle = 2 x (length + width)

Area of a rectangle = length x width

In order to determine the greatest area of water the lifeguard can enclose, we have t determine the sum of the dimensions.

200m = 2( l + b)

l + b = 200m / 2

l + b = 100m

The second step is to determine the pair of dimensions that add up to 100.

90 x 10 = 900

80 x 20 = 1600

70 x 30 = 2100

60 x 40 = 2400

50 x 50  = 2500

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Answer:

x^2-x-3 is the answer

Step-by-step explanation:

The probability that at least 3 of the selected human resource managers say job applicants should follow up within two weeks is 0.55.

From the question, we are to determine the probability that at least 3 of the managers say job applicants should follow up within two weeks

This problem requires the use of the binomial probability distribution. We are given that the probability of success (a human resource manager saying that job applicants should follow up within two weeks) is p = 0.57. The number of trials is n = 6.

To find the probability that at least 3 of the selected human resource managers say job applicants should follow up within two weeks, we need to find the sum of the probabilities of 3, 4, 5, and 6 successes. We can use the binomial probability formula to find these individual probabilities and add them up:

P(X ≥ 3) = P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)

Where X is the number of successes.

Using the binomial probability formula, we get:

P(X = k) = (n Ck) * p^k * (1-p)^(n-k)

Where (n Ck) = n! / (k! * (n-k)!)

So,

P(X = 3) = (6 C3) * 0.57^3 * (1-0.57)^(6-3) = 0.307

P(X = 4) = (6 C4) * 0.57^4 * (1-0.57)^(6-4) = 0.185

P(X = 5) = (6 C 5) * 0.57^5 * (1-0.57)^(6-5) = 0.051

P(X = 6) = (6 C6) * 0.57^6 * (1-0.57)^(6-6) = 0.007

So,

P(X ≥ 3) = P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.307 + 0.185 + 0.051 + 0.007 = 0.55

Hence, the probability is 0.55.

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Answer:

Option 4 (D)

Step-by-step explanation

Text book Formula !

Conclusion 3 is an unreasonable conclusion about the wait times to ride the roller coaster. This is because the shortest average wait time was 15 minutes, and none of the recorded times were under 10 minutes.

I'll create an example line plot to analyze and determine an unreasonable conclusion about the wait times to ride the roller coaster.
Suppose Tracy recorded the following average wait times (in minutes) during one week: 15, 20, 30, 25, 18, 28, and 22. She makes a line plot to show these wait times.
Now let's discuss some conclusions and identify which one is unreasonable:
1. The shortest average wait time during the week was 15 minutes.
2. The longest average wait time during the week was 30 minutes.
3. The average wait time to ride the roller coaster was always under 10 minutes.
Based on the data provided in the line plot, conclusion 3 is an unreasonable conclusion about the wait times to ride the roller coaster. This is because the shortest average wait time was 15 minutes, and none of the recorded times were under 10 minutes.

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The correct answer is: III only. Variance investigation is typically based on a cost-benefit analysis.

Statement I is incorrect because the relative size of a variance, in comparison to other variances, can be important in understanding its significance.

Statement II is incorrect because variance investigation does not focus solely on unfavorable variances. Both favorable and unfavorable variances are considered during the investigation.

Statement III is true. Variance investigation is typically based on a cost-benefit analysis, where the potential benefits of investigating and addressing variances are weighed against the associated costs.

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The value of sales increases by $11,798. and advertising is increased by one unit ($100),

In this case, the equation Y = 45.9 + 11,798.00X represents the relationship between sales (Y) and advertising (X). When advertising is increased by one unit (i.e., $100), we want to find the increase in sales (Y) in dollars.

Using the equation, we can find the value of Y when X increases by 1: Y = 45.9 + 11,798.00 * (X + 1) - (45.9 + 11,798.00 * X)

The term (45.9 + 11,798.00 * X) represents the initial sales amount. When we increase advertising by one unit, the new sales amount is (45.9 + 11,798.00 * (X + 1)). By subtracting the initial sales amount from the new sales amount, we can find the increase in sales in dollars: Y = 11,798.00

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The optimal solution for the given linear programming model is:

max z = 38

when x1 = 5, x2 = 10, x3 = 0

To solve the given linear programming model using the simplex algorithm, we start by converting the inequalities into equations and introducing slack variables. The initial tableau is constructed with the coefficients of the decision variables and the right-hand side constants.

Next, we apply the simplex algorithm to iteratively improve the solution. By performing pivot operations, we move towards the optimal solution. In each iteration, we select the pivot column based on the most negative coefficient in the objective row and the pivot row based on the minimum ratio test.

After several iterations, we reach the optimal tableau, where all the coefficients in the objective row are non-negative. The optimal solution is obtained by reading the values of the decision variables from the tableau.

In this case, the optimal solution is z = 38 when x1 = 5, x2 = 10, and x3 = 0. This means that to maximize the objective function, the decision variables x1 and x2 should be set to 5 and 10 respectively, while x3 is set to 0.

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The required ratio of the time to rotate first and next 2 revolution is given by option 2. (√2+1) : 1.

Merry go round starts from rest.

Let us assume that the initial angular velocity and displacement are zero. Final angular velocity after 2 revolutions is ω.

This implies,

ω₀ = 0 rad/s.

For first two revolutions of the merry go round we have,

θ = 2×2π rad

⇒ θ = ω.t₁ + 1/2 × α × t₁²

⇒ 2×2π = 0×t₁ + 1/2 × α × t₁²

⇒t₁² = 8π/α

⇒ t₁ = √(8π/α)

For first four revolutions of the merry go round we have,

θ = 4×2π rad

⇒ θ = ω.t₂ + 1/2 α.t₂²

⇒ 4×2π = 0×t₂ + 1/2 × α × t₂²

⇒ t₂² = 16π/α

⇒t₂ = √(16π/α)

Time taken for 3rd and 4th revolution of the merry go round is equals to,

t₃ = t₂ - t₁

Substitute the values we get,

⇒ t₃ = √(16π/α) - √(8π/α)

⇒t₃ = (√2-1) √(8π/α)

Ratio of time to rotate first 2 revolutions and next 2 revolutions is written as ,

t₁/t₃ = √(8π/α) / [(√2-1)√(8π/α)]

⇒ t₁/t₃  = 1/(√2-1)

Multiply and divide by the conjugate of √2-1 is equals to,

⇒ t₁/t₃  = 1/(√2-1) × (√2+1)/(√2+1)

⇒ t₁/t₃  = √2+1

Therefore, ratio of time to rotate first 2 revolutions & next 2 revolutions is  equals to option 2. (√2+1) : 1.

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The above question is incomplete, the complete question is:

A merry go round rotates from rest with constant angular acceleration `α` . Ratio of time to rotate first 2 revolutions & next 2 revolutions is

1) 1:1

2) (√2+1):1

3) √2:1

4) 1:√2

The probability that the first applicant with advanced training in programming is found on the third interview is  0.0469

Let X denote the number interviewed until 1 has advanced training and follows a geometric distribution with parameter 75%, so

Geometric distribution is: (1-75%)

                                        =0.75

The density function of geometric distribution is,

\(P(X=x)=p(1-p)^{x-1}\), for all x = 1,2,3,....

Now, we calculate the probability that the first applicant with advanced training in programming is found on the third interview:

P(X=3) =\(0.75(1-0.75)^{3-1}\)

          =\(0.75(1-0.75)^{2}\)

          =0.75×0.0625

          =0.0469

Hence, the required probability is 0.0469

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Answer: Today function

Step-by-step explanation:

Answer:

0x+11y=-11

Step-by-step explanation:

hope this helps

plzz mark me brainliest

Answer:

y=-1

Step-by-step explanation:

-2×+7y=-5

- -2×-4y=6

11y=-11

But you don't leave the answer like that

You need to simplify

So

11y=-11

y=-11

11

y=-1

The locations of the linear pair angles, the angle expressions, indicates that the  value of x is 24, and we get;

m∠FLS = 108°

m∠SLT = 72°

m∠ALG = 18°

Linear pair angles are angles that together form a straight line.

Linear pair angles are supplementary.

The linear pair angles, ∠FLS and ∠FLG, indicates;

(4·x + 12)° + (3·x)° = 180°

7·x + 12 = 180

7·x = 180 - 12 = 168

x = 168/7 = 24

x = 24

Therefore; m∠FLS = (4 × 24 + 12)° = 108°

∠SLT ≅ ∠FLG, vertical angles theorem, therefore;

m∠SLT = m∠FLG = (3·x)°

x = 24

m∠SLT = m∠FLG = (3 × 24)° = 72°

m∠SLT = 72°

∠ALF = ∠FLG + ∠ALG (Angle addition property)

∠ALF is a right angle, therefore, ∠FLG and ∠ALG are complementary, angles

∠FLG + ∠ALG = 90°

m∠ALG = 90° - m∠FLG

m∠ALG = 90° - 72° = 18°

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Answer:

1 \(\frac{127}{200}\)

Step-by-step explanation:

512/313

= 1.635

Leave 1 and convert 0.635 to fraction

\(\frac{635}{100}\) into simplest form

= \(\frac{127}{200}\)

= in mixed fraction

1 \(\frac{127}{200}\)

When 512 is divided by 313 using repeated subtraction, the quotient is 1. The answer in mixed form is \(1\frac{199}{313}\).

Repeated Subtraction is a method that subtracts the equal number of items from a group, also known as division. Using this method, the same number is subtracted repeatedly from another larger number until the remainder is zero, or smaller than the number being subtracted.

Dividend = 512

Divisor = 313

Subtract 313 from 512 repeatedly.

512 - 313 = 199

Here, 313 is subtracted once from 512 with remainder as 199.

Hence, the quotient = 1, remainder = 199.

Answer in mixed fraction:

\(\frac{Dividend}{Divisor} =Quotient \frac{Remainder}{Divisor} = 1\frac{199}{313}\)

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The given hypothesis for the vegetarians can be analyzed with a hypothesis test where we can determine whether the preference of vegetarians is significantly higher for the Impossible Burger than for the Awesome Burger. Similarly, the hypothesis for the individuals under 40 years and those over 40 years can also be evaluated with a hypothesis test.

These hypotheses are tested using the z-test as the sample size is greater than 30 (n>30).

As the sample size of vegetarians preferring the Impossible burger is 450 which is greater than 30, we can use a z-test for hypothesis testing.

The P-value for the given hypothesis test is 0.0373.

As the P-value is less than the significance level of 0.05, we can reject the null hypothesis and conclude that vegetarians prefer the Impossible Burger to the Awesome Burger at a 5% significance level.Since the P-value for hypothesis test is less than the significance level of 0.05, we can reject the null hypothesis and accept the alternative hypothesis. Thus we can conclude that those under 40 years of age prefer the television commercial concept more than those over 40 years of age. Therefore, the marketing team should produce separate television commercials for both the age groups.

For the given hypothesis tests of vegetarians and individuals under and above 40 years of age, we have used the z-test as the sample sizes are greater than 30. The P-value for the hypothesis tests are 0.0373 and 0.017 respectively which is less than the significance level of 0.05. Hence, in both the cases we reject the null hypothesis and accept the alternative hypothesis. Based on the conclusion we can suggest that the Impossible burger is a better option for vegetarians and the marketing team should produce separate television commercials for both the age groups.

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The fraction (4\(s^{(6)\))((\(t^{(6)\))\()^{3}\)  in its simplest form is C. 64\(s^{(18)\)\(t^{(18)\).  

To simplify the given fraction, we need to use the power of a power rule, which states that (a^b)^c = a^(b*c).

In this case, we have (4\(s^{(6)\)\(t^{(6)\))^3 , so we need to multiply the exponents of each term by 3.

For the first term, \(4^{(3)\) = 64. For the second term, \(s^{(6*3)\) = \(s^{(18)\). And for the third term, \(t^{(6*3)\)= \(t^{(18)\).

Putting these terms together, we get 64\(s^{(18)\)\(t^{(18)\), which is the correct answer.

So, the simplified form of (4\(s^{(6)\))((\(t^{(6)\))\()^{3}\) is 64\(s^{(18)\)\(t^{(18)\), or answer choice C.

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Answer: Jose incorrectly rounded $2.85 down to $2. The estimate should $18.

Step-by-step explanation:

lol i had this question

Answer:

34 is the answer because of its solution

Step-by-step explanation:

because of its solution

Answer:

34 is the answer

please mark me as brainliest

I'm your only one lili in the whole world xd

my last if was banned

Answer:

0.275

Step-by-step explanation:

Answer:

my acc just got yeeted by a penguin pfp

Step-by-step explanation:

Answer:

oops look in commments

Step-by-step explanation:

Answer:

Option (2)

Step-by-step explanation:

Steps to draw a perpendicular at a point lying on a segment;

1). Take a point on the segment at which the perpendicular is to be drawn.

2). Draw an arc from the point chosen on the segment which intersects the segment at the two different points.

3). Now mark two arcs from these points with the same radius intersecting each other on the same side of the segment.

4). Join the point of intersection of the arc with the point given on the line with straightedge.

Hence a perpendicular is drawn at a point of a segment.

These steps have been followed in option (2).

Option (2) will be the answer.

Answer:

4500

Step-by-step explanation:

The size of the angle QUP in the system formed by the equilateral triangle QUR, the equilateral triangle PUT and the square RUTS is equal to 150°.

By Euclidean geometry we know that squares are quadrilaterals with four sides of equal length and four right angles and triangles are equilateral when its three sides have equal length and three angles with a measure of 60°. In addition, a complete revolution has a measure of 360°.

Finally, we must solve the following equation for the angle QUP:

m∠QUR + m∠QUP + m∠PUT + m∠RUT = 360

60 + m∠QUP + 60 + 90 = 360

m∠QUP + 210 = 360

m∠QUP = 150

The size of the angle QUP in the system formed by the equilateral triangle QUR, the equilateral triangle PUT and the square RUTS is equal to 150°. \(\blacksquare\)

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Answer:

$71.09

Step-by-step explanation: