Peter uses his credit card occasionally but makes only the minimum payments. Sometimes, he forgets to make a payment and pays more than the
minimum payment a few months later. Which of the following may likely happen to Peter?
Select the best answer from the choices provided.
OA.
O
damage to his credit score
increase in his cash advance limit
decrease in his interest rate
D. damage to his employment history
O
B.
O c.

The missing values in table from given number set is x= 1.6, 8 and y= 2.4 respectively.

In mathematics, a proportional relationship is a type of relationship between two variables in which one variable is a constant multiple of the other. This means that as one variable changes, the other variable changes in proportion to it, maintaining a constant ratio between the two variables.

For example, if y is proportional to x, then the relationship between y and x can be expressed as:

y = kx

where k is the constant of proportionality. This equation states that the value of y is always equal to a constant multiple of the value of x.

In a proportional relationship, as one variable increases or decreases, the other variable also increases or decreases, but at a constant rate. This means that if we plot the values of the two variables on a graph, we will get a straight line passing through the origin.

x                        y

2                       0.6

1.6                     1.5

8                       2.4

To know more about equation visit:

https://brainly.com/question/12788590

#SPJ1

The weighted mean for the combined set of scores is 9.6, i.e., option b.

To find the weighted mean, we need to take into account the size of each sample. The formula for the weighted mean is:

weighted mean = ((n1 * M1) + (n2 * M2)) / (n1 + n2)

where n1 and n2 are the sizes of the two samples and M1 and M2 are their respective means.

Plugging in the given values, we get:

weighted mean = ((4 * 12) + (6 * 8)) / (4 + 6)

weighted mean = (48 + 48) / 10

weighted mean = 9.6

Therefore, the correct answer is option b. 9.6

To know more about mean refer here:

https://brainly.com/question/27924252#

#SPJ11

The disparity can be fixed as shown below. Since the inequality equation is m+1/41 2/5, M -33/20.

An inequality in mathematics is a comparison between two values or expressions that shows one value to be larger than, less than, or not equal to the other. When expressing an inequality, one uses symbols like "" (less than), ">" (greater than), "" (less than or equal to), "" (greater than or equal to), and "" (not equal to) to indicate how two numbers or expressions relate to one another. Similar to how equations are handled, inequality problems can be resolved by isolating the variable on one side of the inequality sign.

given

To address the disparity:

M + 1/4 < -1 2/5

First, we must improperly fractionalize the mixed integer -1 2/5:

-1 2/5 = -7/5

We can now rephrase the inequality as follows:

M + 1/4 < -7/5

The next step is to separate M by taking 1/4 away from both sides:

M < -7/5 - 1/4

We must determine a common denominator, which is 20 in order to subtract these decimals.

M < (-74)/(54) - (15)/(45) (45)

M < -28/20 - 5/20

M < -33/20

The disparity can be fixed as shown below. Since the inequality equation is m+1/41 2/5, M -33/20.

To know more about inequality visit:

https://brainly.com/question/29914203

#SPJ1

The agency needs to make sales of at least $15,000 to cover its expenses.

Let's say the amount of sales the agency needs to cover its expenses is "x".

Then the total amount earned by the agency can be expressed as:

Total earnings = Fixed rate + Commission

Total earnings = $2,500 + 42% of sales

Total earnings = $2,500 + 0.42x

The agency needs to earn at least $8,800, so we can write an inequality as:

$2,500 + 0.42x ≥ $8,800

Simplifying the inequality, we get:

0.42x ≥ $6,300

Dividing both sides by 0.42

0.42x / 0.42 ≥ $6300 / 0.42

x ≥ $15,000

Learn more about inequality here

brainly.com/question/30231190

#SPJ4

The given question is incomplete, the complete question is:

An employment agency sells its services to companies for a fixed rate of $2,500 plus a commission of 42% of its sales. To cover the agency's expenses, it needs to earn at least $8,800 a month.

Write an inequality that, when solved, will give the amount of sales the agency needs to cover its expenses.

Therefore, a 200 mg sample of acetaminophen would degrade and contain only 40 milligrams of it after 9.2876 hours.

A mathematical function called a logarithm explains how a base number and a specified number relate to one another. It is, therefore, the exponent to which a selected base number must always be raised in order to generate a particular outcome. The log of y with unit b is x, or log b y = x, for instance, if we have the solution bx = y. The formula for the logarithm expression is log b y, where b denotes the basis and y the argument. Numerous mathematical and scientific tasks involve the use of logarithms, including computing massive increase or decay, determining the strength of sounds and earthquakes, and analyzing data in areas like finance and biology. They are also utilized in data compression and computer processing.

given

There will be 100 mg of acetaminophen left after a half-life (4 hours) (half of 200 milligrams). The quantity left after two half-lives (8 hours) is 50 milligrams (or half of 100 milligrams), and then after three half-lives (12 hours), it is 25 milligrams (half of 50 milligrams).

To solve for t, we can build up the equation shown below:

200*(1/2)^(t/4) = 40

If we simplify, we get:

(1/2)^(t/4) = 0.2

Using base 1/2 to calculate the logarithm of both sides, we obtain:

log(0.2)/log(1/2) Equals t/4

t/4 = 2.3219

When we multiply both parts by 4, we obtain:

t = 9.2876

Therefore, a 200 mg sample of acetaminophen would degrade and contain only 40 milligrams of it after 9.2876 hours.

To know more about logarithm visit:

https://brainly.com/question/30085872

#SPJ1

The future amount is equal to $17,605.4.

Mathematically, compound interest can be calculated by using this mathematical expression:

A(n) = P(1 + r)^{n}

Where:

Substituting the given parameters into the compound interest formula, we have;

A(12) = 1000(1 + 0.27)^{12}

A(12) = 1000(1.27)^{12}

A(12) = 1000 × 17.6054

A(12) = $17,605.4

Read more on interest rate here: brainly.com/question/26343258

#SPJ1

The equation is an identity. Mathias is correct.

Equations are mathematical statement that shows that two expressions are equal. Equality sign is compulsory for an equation.

as example, 2x + 5Y =12 is an equation that has two variables.

An identity is an equation that is considered as true in all the cases whether any value is substituted or not.

given, 2x² + 10x +6 = (x+3) (2x+1) + 3(x+1)

From the right-hand side, (x+3) (2x+1) +3 (x+1)

                                  we expand, {x × 2x + x×1 + 3×2x + 3×1 + 3 ×x + 3×1}

                                                        2x² + x +6x+ 3 +3x +3

                    we collect the same term, 2x²+ x+ 6x+3x + 3+3

                         we add the same term, 2x² +10x +6

                                                          = left hand side

So, the given equation is an identity.

To know more about identity equation visit:

https://brainly.com/question/29125576

#SPJ1

The median weight of the 12 bags of fruits is 3.15 pounds.

What is median  ?

The median is a measure of central tendency that represents the middle value in a set of data when the data is arranged in order from smallest to largest (or largest to smallest). It is the value that separates the data into two equal halves.

To find the median weight of the 12 bags of fruits, we need to arrange the weights in order from smallest to largest. Here are the weights in pounds:

2.3, 2.5, 2.7, 2.9, 3.0, 3.1, 3.2, 3.5, 3.7, 3.9, 4.2, 4.5

There are 12 weights, which is an even number, so we need to find the average of the two middle values to get the median.

The middle two values are 3.1 and 3.2, so we add them together and divide by 2:

(3.1 + 3.2) / 2 = 6.3 / 2 = 3.15

Therefore, the median weight of the 12 bags of fruits is 3.15 pounds.

To learn more about Median from given link.

https://brainly.com/question/28060453

#SPJ1

Answer:

80

Step-by-step explanation:

7 x 10−6 + 2.1 x 10−5.

= 70 - 6 + 21 -5

= 64 + 21 - 5

= 85 - 5

= 80

Answer: n= 2

Step-by-step explanation:

Answer: p+13=173

Step-by-step explanation:

P and 13 more just means p + 13

the same as just means =

so put those together and you get p+13=173

Since triangles BCD and GEF are similar, their corresponding sides are proportional. This means that: BD = 25.

We know that,

BD/GE = CD/EF = BC/GF

We know that EG = 51 and FG = 57, so GF = EG + EF = 51 + EF. We also know that BC = CB - 4 = x, and CD = BD - BC = 2x - 7 - x = x - 7.

Substituting these values into the similarity equation, we get:

BD/GE = (x - 7)/(51 - EF) = x/(51 + EF - 4)

Cross-multiplying and simplifying, we get:

BD = (GE * x) / (51 - EF) = (GE * x) / (47 + EF)

We can solve for x by setting up another similarity equation using the fact that the sum of the corresponding angles in similar triangles is equal:

angle BCD = angle GEF

This means that:

Using the values given for EG and FG, we can find that GE = sqrt(51² + 57²) = 78. We can also substitute BD = 2x-7 and solve for x using the arctan equation:

Taking the tangent of both sides and using the identity tan(arctan(x)) = x, we get:

Cross-multiplying and simplifying, we get a quadratic equation:

Solving for EF using the quadratic formula, we get:

We take the positive root since EF cannot be negative, and we substitute this into the expression we derived for BD:

Finally, we substitute the value we found for BD into the given expression for bd:

Solving for x, we get:

x = 26

Substituting this value into the expression we derived for BD, we get:

Solving for EF using the positive root of the quadratic formula, we get:

EF = 30

Substituting this value into the expression we derived for BD, we get:

Therefore, BD=25.

Learn more about Triangles:

https://brainly.com/question/29789999

#SPJ4

Complete Question:

If Δ BCD ~ Δ GEF, find BD. side CB=x+4, BD = 2x-7. Side EG =51, side FG=57.

The piecewise function for dog walking business is given as follows:

A piecewise funciton is a function that has different definitions, based on the input of the function.

The three intervals of weights for this function are given as follows:

The prices are constant, depending on the weight, hence the functions are given as follows:

More can be learned about piecewise functions at https://brainly.com/question/19358926

#SPJ1

Answer:

Step-by-step explanation:

no

Answer:

2.54x10⁹ J

Step-by-step explanation:

0.77 km = 770 m

only the y (north) components of the forces are doing work (Fy)

Work = W = Fy(d)

W = 2(1.7x10⁶ N)(cos14)(770 m) = 2.54x10⁹ J

Answer:

the answer will be B. a baker uses 4 cups of flour. she uses 1/4 cup to flour the counters and the rest to make 8 identical muffins.

To show that the congruence x^2 =1(mod 2^k) has exactly four incongruent solutions, namely x = -1 or -(1 2^k-1) (mod2^k), when k>2, we can use the following steps:
1. First, let's write the congruence x^2 =1(mod 2^k) in the form x^2 - 1 = 0(mod 2^k).
2. Next, we can factor the left-hand side of the congruence as (x-1)(x+1) = 0(mod 2^k).
3. Now, we can see that there are two possible solutions for x: x = 1(mod 2^k) and x = -1(mod 2^k).
4. However, since k>2, we know that 2^k > 4, so there are also two more solutions for x: x = 1 + 2^k-1(mod 2^k) and x = -1 - 2^k-1(mod 2^k).
5. These four solutions are all incongruent because they differ by multiples of 2^k-1, which is greater than 1.
6. Therefore, the congruence x^2 =1(mod 2^k) has exactly four incongruent solutions, namely x = -1 or -(1 2^k-1) (mod2^k), when k>2.
In conclusion, the congruence x^2 =1(mod 2^k) has exactly four incongruent solutions, namely x = -1 or -(1 2^k-1) (mod2^k), when k>2.

Read more about congruence x^2 here:https://brainly.com/question/30818154

#SPJ11

After answering the given query, we can state that  Press the option equation marked "square root" (). The solution is 2105.

In mathematics, the equals sign (=) is used to indicate equivalence and links two statements. The equality of two mathematical expressions is established by a mathematical statement used in algebraic equations. The equal sign, for instance, puts a space between the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. You can use a mathematical expression to understand how the two lines that are written on the opposite edges of a letter relate to one another. The show's emblem is typically the same as the program's. One example is 2x - 4 = 2.

Long division or a computer can be used to find the square root of 4411225. Here's how to use a computer to complete it:

Calculator: Enter 4411225 as the value.

Press the option marked "square root" ().

The solution is 2105.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

Step-by-step explanation:

Step 1: To calculate the time it takes to cook a 3 kg chicken, use the following equation: Time (minutes) = Mass (kg) × Constant

Step 2: Substitute 3 for the mass (kg) and solve for the time (minutes): Time (minutes) = 3 kg × Constant

Step 3: To calculate the constant, use the given information that it takes 100 minutes to cook a chicken of unknown mass (M). Substitute 100 minutes and M for the time and mass, respectively: 100 minutes = M kg × Constant

Step 4: Solve for the constant by dividing both sides by M kg: Constant = 100 minutes / M kg

Step 5: Substitute the value of the constant into the first equation and solve for the time it takes to cook a 3 kg chicken: Time (minutes) = 3 kg × (100 minutes / M kg)

Step 6: Simplify the equation to find the number of minutes it takes to cook a 3 kg chicken: Time (minutes) = 300 minutes

Therefore, it will take 300 minutes, or 5 hours, to cook a 3 kg chicken.

To calculate the mass of a chicken that takes 100 minutes to cook, use the same equation and substitute 100 minutes for the time: Mass (kg) = Time (minutes) / Constant

Substituting 100 minutes and the value of the constant, which is 100 minutes/M kg, yields Mass (kg) = 100 minutes / (100 minutes / M kg) = M kg

Therefore, the mass of a chicken that takes 100 minutes to cook is M kg.

Answer:

1,845.2 M^3

Step-by-step explanation:

The volume of a pyramid with a square base can be calculated using the formula V=(1/) * (Base area) * Height). The base of a square is equal to the square of one side, so the base area of this pyramid is 15.2^2=230.4 m^2. the volume of the pyramid is then (1/3) * 230.4 * 21.3. 1,845.2 M^3

Answer:
Mode: 7

Median: 6

Mean: 5.2

Range: 7

Step-by-step explanation:
Mode: 7 occurs the most times.

Median: Putting the numbers in order 5 and 7 meet in the middle so you add then divided them in half aka 2.

Mean: Add them all together and divide by the numbers which in this case was 52÷10.

Range: Subtract the smallest value from the target. 8- 1.

Answer:

The mode of a set of numbers is the value that appears most frequently in the set.

In the set of numbers you provided, we can see that the number 7 appears three times, which is more than any other number. Therefore, the mode of the set is 7.

To find the median of a set of numbers, we need to first put the numbers in order from smallest to largest.

When we arrange the numbers 3, 7, 2, 4, 7, 5, 7, 1, 8, 8 in order from smallest to largest, we get:

1, 2, 3, 4, 5, 7, 7, 7, 8, 8

Since there are 10 numbers in the set, the median is the average of the two middle numbers. In this case, the two middle numbers are 5 and 7. So, we add 5 and 7 and divide by 2:

(5 + 7) ÷ 2 = 6

Therefore, the median of the set of numbers is 6.

To find the mean (or average) of a set of numbers, we need to add up all the numbers in the set and then divide the sum by the total number of numbers in the set.

Adding up the numbers 3, 7, 2, 4, 7, 5, 7, 1, 8, 8, we get:

3 + 7 + 2 + 4 + 7 + 5 + 7 + 1 + 8 + 8 = 52

There are 10 numbers in the set, so we divide the sum by 10:

52 ÷ 10 = 5.2

Therefore, the mean (or average) of the set of numbers is 5.2.

To find the range of a set of numbers, we need to subtract the smallest number in the set from the largest number in the set.

In this case, the smallest number is 1 and the largest number is 8. So the range of the set of numbers 3, 7, 2, 4, 7, 5, 7, 1, 8, 8 is:

8 - 1 = 7

Therefore, the range of the set of numbers is 7.

To find an unbiased estimator of the probability density function (pdf), one must first determine the expected value of the estimator.

An estimator is unbiased if its expected value is equal to the true value of the parameter being estimated.

Let f(x|θ) be the pdf of a random variable X, where θ is a parameter of the distribution. To estimate the pdf, one can use a kernel density estimator (KDE), which is a non-parametric method that estimates the pdf using a kernel function. Let ƒ(x) be the estimated pdf using the KDE.

To find an unbiased estimator of the pdf, we need to calculate the expected value of ƒ(x) and set it equal to f(x|θ). This can be done by integrating ƒ(x) over the entire range of X:

∫ ƒ(x) dx = ∫ K((x - Xi)/h) dx

where K is the kernel function, Xi is the ith observation, and h is the bandwidth parameter.

To make this estimator unbiased, we can multiply it by a constant that ensures that its expected value equals the true pdf. This constant is typically chosen to be the reciprocal of the integral of the kernel function over the entire range of X:

ƒ^(x) = (1/nh) ∑ K((x - Xi)/h) / ∫ K(u) du

where n is the sample size.

This estimator is unbiased because its expected value is equal to the true pdf. However, it may not be the most efficient estimator in terms of mean squared error or other criteria.

To learn more about unbiased estimator click on,

https://brainly.com/question/14368422

#SPJ4

Answer:

Step-by-step explanation:

(1 x 3/16)/12 = 1 x 3/16 x 12 = 2.25

Answer:

There are six possible outcomes when rolling a die, and three of them are prime numbers (2, 3, and 5). Therefore, the probability of rolling a prime number on a single die is 3/6, or 1/2.

The probability of rolling a 5 on the red die is 1/6, since there is only one face with a 5 out of the six faces.

To find the probability that the red die lands on a 5 and the blue die lands on a prime number, we need to multiply the probabilities of these two events occurring:

P(red die lands on 5 AND blue die lands on prime number) = P(red die lands on 5) x P(blue die lands on prime number)

P(red die lands on 5 AND blue die lands on prime number) = (1/6) x (1/2)

P(red die lands on 5 AND blue die lands on prime number) = 1/12

Therefore, the probability that the red die lands on a 5 and the blue die lands on a prime number is 1/12 or approximately 0.083 or 8.3%.

Answer:

[tex] \sqrt{3(1 + \sqrt{3)} } = 2.86[/tex]

Step-by-step explanation:

[tex]1. \: \sqrt{3 + 3 \sqrt{3} } \\ 2. \: \sqrt{3(1 + \sqrt{3)} } = 2.86[/tex]

From the given information provided, if AG is 140 inches long, then the length of EF is 80 inches.

Let's start by assigning a variable to the length of AB. We'll use x, so BC is 2x and CD is 4x (since CD is twice the length of BC). The total length of the line segment from A to D is therefore:

AD = AB + BC + CD = x + 2x + 4x = 7x

We know that AG is 140 inches long, so we can set up a proportion to find the length of EF. Specifically, the ratio of AG to AD is equal to the ratio of EF to CD:

AG/AD = EF/CD

Substituting in the values we know:

140/7x = EF/4x

Cross-multiplying:

140 × 4x = 7 x EF

Simplifying:

560 = 7 x EF

Dividing both sides by 7x:

EF = 80

Learn more about ratio here: brainly.com/question/2328454

#SPJ4

10.The measures of the angles are: m ∠ J= 127 degrees, m ∠ K= 20 degrees and m ∠ L= 33 degrees.

11. The measures of the angles are: m∠W = 77 degrees, m∠ X = 62 degrees and m∠ Y = 41 degrees.

12. The measures of angles D, E, and F are: ∠D = 115 degrees, ∠E = 49 degrees and ∠F = 16 degrees.

A triangle is a closed, two-dimensional figure with three straight sides. It has three vertices and three angles. The sum of the three interior angles of a triangle always adds up to 180 degrees. Triangles come in different shapes and sizes and can be classified based on the length of their sides or the measure of their angles.

10.Let x be the measure of ∠ K.

Then, ∠ L = x + 13 (as it is thirteen more than ∠ K), and ∠ J = 6x + 7 (as it is seven more than six times ∠ K).

The sum of the angles in a triangle is always 180 degrees, so we can set up an equation to solve for x:

x + (x + 13) + (6x + 7) = 180

Combining like terms:

8x + 20 = 180

Subtracting 20 from both sides:

8x = 160

Dividing by 8:

x = 20

Therefore, ∠ K = 20 degrees, ∠ L = x + 13 = 20 + 13 = 33 degrees, and ∠ J = 6x + 7 = 6(20) + 7 = 127 degrees.

So the measures of the angles are:

m ∠ J= 127 degrees

m ∠ K= 20 degrees

m ∠ L= 33 degrees

11. Let's use the fact that the sum of the angles in a triangle is 180 degrees.

Let m ∠ Y = x.

Then we have:

m ∠ W = 2x - 5

m ∠ X = x + 21

Using the fact that the sum of the angles in a triangle is 180 degrees, we can write:

m∠W + m ∠ X + m ∠ Y = 180

Substituting the expressions we found above, we get:

(2x - 5) + (x + 21) + x = 180

Simplifying the left side:

4x + 16 = 180

Subtracting 16 from both sides:

4x = 164

Dividing both sides by 4:

x = 41

So, m∠ Y = 41.

Substituting this value into our expressions for m ∠ W and m ∠ X, we get:

m∠ W = 2(41) - 5 = 77

m∠ X = 41 + 21 = 62

Therefore, the measures of the angles are:

m∠W = 77 degrees

m∠ X = 62 degrees

m∠ Y = 41 degrees

12.Given, triangle DEF, we have:

m∠E = 3m∠F + 1

m∠D = 7m∠F + 3

We know that the sum of angles in a triangle is 180 degrees, so:

m∠D + m∠E + m∠F = 180

Substituting the values of m∠D and m∠E from the above equations:

(7m∠F + 3) + (3m∠F + 1) + m∠F = 180

11m∠F + 4 = 180

11m∠F = 176

m∠F = 16

Substituting the value of m∠F, we can find the values of m∠D and m∠E:

m∠D = 7m∠F + 3 = 7(16) + 3 = 115

m∠E = 3m∠F + 1 = 3(16) + 1 = 49

Therefore, the measures of angles D, E, and F are:

∠D = 115 degrees

∠E = 49 degrees

∠F = 16 degrees

Therefore,

10.The measures of the angles are: m ∠ J= 127 degrees, m ∠ K= 20 degrees and m ∠ L= 33 degrees.

11. The measures of the angles are: m∠W = 77 degrees, m∠ X = 62 degrees and m∠ Y = 41 degrees.

12. The measures of angles D, E, and F are: ∠D = 115 degrees, ∠E = 49 degrees and ∠F = 16 degrees.

To know more about triangles visit :

https://brainly.com/question/1058720

#SPJ1

The slope of U is negative, which indicates that it is sloping downwards to the right, while the slope of V is positive, which indicates that it is sloping upwards to the right.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

||U|| = 4

||V|| = 4

Slope U = -1

Slope V = 1

To determine whether U and V are equivalent, we need to check if they have the same magnitude and direction.

Since ||U|| = ||V|| = 4, they have the same magnitude. However, since Slope U = -1 and Slope V = 1, they do not have the same direction.

Therefore, we can conclude that U and V have the same magnitude but not the same direction, so they are not equivalent.

The magnitude of each vector is 4, and the slope of U is -1 while the slope of V is 1. The slope of a vector is given by the ratio of its vertical component to its horizontal component, so we can find the horizontal and vertical components of U and V as follows:

For vector U:

Horizontal component = ||U||cos(θ) = 4cos(-45°) = 2.83

Vertical component = ||U||sin(θ) = 4sin(-45°) = -2.83

Slope U = Vertical component / Horizontal component = -1

For vector V:

Horizontal component = ||V||cos(θ) = 4cos(45°) = 2.83

Vertical component = ||V||sin(θ) = 4sin(45°) = 2.83

Slope V = Vertical component / Horizontal component = 1

Interpreting the results, we can say that U and V have the same length, but they point in opposite directions (180 degrees apart).

Therefore, The slope of U is negative, which indicates that it is sloping downwards to the right, while the slope of V is positive, which indicates that it is sloping upwards to the right.

To learn more about Algebraic expression from given link.

brainly.com/question/953809

#SPJ1