Is this relation a function? Justify your answer. 11 10 9 8 7 6 5 4 3 2 1 -. 1 2 3 4 5 6 7 8 9 10 11 A. No, because two points with the same x-value have different y values. B. Yes, because the number of x-values is the same as the number of y values. C. No, because two points with the same y-value have different x- values. D. Yes, because every x- and y-value is positive.​

In the first scenario, Rebecka received an interest of $1,389.60 on her $19,300.00 deposit over a twelve-month period. The task is to determine the monthly rate of simple interest earned on her deposit.

To find the monthly rate of simple interest, we can use the formula:

Interest = Principal * Rate * Time

Given that the interest earned is $1,389.60 and the principal amount is $19,300.00, and the time period is twelve months, we can rearrange the formula to solve for the rate:

Rate = Interest / (Principal * Time)

Plugging in the given values, we have:

Rate = $1,389.60 / ($19,300.00 * 12)

Evaluating the expression, we find the monthly rate of simple interest to be approximately 0.5993%, rounded to 2 decimal places.

For the second question, Chauncey was charged $221.00 interest on his bank loan from May 9 to July 27. The annual interest rate on the loan was 5.50%. The task is to calculate the outstanding principal balance on the loan during that period.

To calculate the outstanding principal balance, we need to determine the interest for the given period and then divide it by the annual interest rate. The formula is:

Outstanding Principal Balance = Interest / (Rate * Time)

Given that the interest charged is $221.00 and the annual interest rate is 5.50%, we can calculate the outstanding principal balance:

Outstanding Principal Balance = $221.00 / (5.50% * (79/365))

Calculating the expression, we find the outstanding principal balance to be approximately $9,152.15, rounded to the nearest cent.

To know more about interest click here: brainly.com/question/30393144

#SPJ11

Answer:

x + y = 10

Step-by-step explanation:

Step 1: Find the gradient/slope

Gradient and slope are interchangeable words. To find the gradient/slope we need to use two points that we know are on the line and the following formula: (y2 - y1) / (x2 - x1)

Point 1 = (0,1)

Point 2 = (3,13)

Gradient = (13 - 1) / (3 - 0)

Gradient = 12 / 3

Gradient = 4

Step 2: Find the y-intercept

We can use the slope-intercept form to find the y-intercept. To do so, we plug in the gradient and one of the points on the line. You can pick either point to plug in here!

Slope-intercept form: y = mx + b

-m is the gradient

-b is the y-intercept (that we are trying to find)

13 = 4(3) + b

13 = 12 + b

b = 1

Step 3: Put it all together in slope-intercept form

Now that we have the slope and y-intercept, all that's left to do is plug in the values.

y = mx + b

y = 4x + 1

Answer: y = 4x + 1

Hope this helps!!

The quotient of (2x4 – 3x3 – 3x2 7x – 3) ÷ (x2 – 2x 1) is 2x² + x – 3.

A quotient is a quantity produced by the division of two numbers.

The quotient is most frequently encountered as two numbers, or two variables, divided by a horizontal line. The words "dividend" and "divisor" refer to each individual part, while the word "quotient" refers to the whole.

For example when 8 is divided by 2, the result obtained is 3. Thus, the quotient is 4.

To determine the quotient when (2x4 – 3x3 – 3x2 + 7x - 3) is divided by (x2 - 2x + 1), we'll apply the long division method as shown below:

              2x² + x – 3

x² - 2x + 1|2x⁴ – 3x² – 3x² + 7x - 3

              –(2x⁴ – 2x³ + 2x²)

                 x³ – 5x² + 7x – 3

              –(x³ – 2x² + x)

             –3x² + 6x – 3

            –(3x² + 6x – 3)

                    0

Thus, the quotient is 2x² + x – 3.

To learn more about Quotient visit :

https://brainly.com/question/16134410

#SPJ4

The ordered pair notation for UOS is UOS = {(a, b)} .

To express the relation UOS using ordered pair notation, we need to find all the pairs of elements that are related in both U and S.
Looking at U and S:
U = {(a, 6), (d, a)}
S = {(a, b), (d, d)}
We can see that the only pair that is related in both U and S is (a, b). Therefore, the ordered pair notation for UOS is:
UOS = {(a, b)}
Note that we only include the pair that is related in both U and S, even though there may be other pairs that are related in U or S individually.

To know more about Relation visit:

https://brainly.com/question/30640806

#SPJ11

The latest statistics from the National Science Foundation indicate a concerning Gender gap persists in computer science and engineering fields with declining women's degrees from 2005 to 2008.

The data shows that the percentage of engineering degrees awarded to women decreased from 20% in 2005 to 18% in 2008, while the percentage of computer science degrees awarded to women dropped from 22% to 17% during the same period.

These findings highlight the persistent gender disparity in these fields, despite progress in other areas. To address this issue, efforts should focus on promoting and encouraging women to pursue careers in computer science and engineering, providing equal opportunities and supportive environments to bridge the gender gap and foster diversity and inclusion in these crucial fields.

To know more about Foundation visit -

brainly.com/question/28198516

#SPJ11

Answer:

13

Step-by-step explanation:

Answer:

Should be 9 grams

Step-by-step explanation:

240÷40=6 576÷2÷2÷2÷2÷2÷2=9

Using a linear function, it is found that the slope of the problem is of $70.

A linear function for a cost is modeled by:

\(C(t) = C(0) + at\)

in which:

Verizon charges a $100 initial contract fee, then $70 a month for a basic cell phone plan, then:

\(C(t) = 100 + 70t\)

Then, the slope of the problem is of $70.

To learn more about linear functions, you can take a look at https://brainly.com/question/16302622

(a) Sample size: Increasing the sample size decreases the variance of the OLS estimator. (b) Variation in X: Greater variation in X leads to higher variance in the OLS estimator.

(a) Sample Size: Increasing the sample size tends to reduce the variance of the Ordinary Least Squares (OLS) estimator. As the sample size grows larger, the estimator becomes more precise and better captures the true underlying relationship between the variables. With more observations, the OLS estimator tends to average out random errors, leading to a decrease in variance. However, if there are influential outliers or systematic biases present in the data, increasing the sample size may not necessarily result in a significant reduction in the variance.

(b) Variation in X: The variance of the OLS estimator is influenced by the variation in the independent variable (X). When there is greater variation in X, the OLS estimator tends to have higher variance. This occurs because a wider range of X values can lead to a wider range of predicted Y values, resulting in larger deviations from the true regression line. In contrast, if there is less variation in X, the OLS estimator will have lower variance as the predicted Y values will be more tightly clustered around the regression line. Therefore, an increase in the variation of X tends to increase the variance of the OLS estimator.

To learn more about variable, click here:

brainly.com/question/29583350

#SPJ11

The solutions to the equation -30x² + 9x + 60 = 0 are x = 5/2 and x = -4/5.

To solve the equation, we can start by bringing all the terms to one side to have a quadratic equation equal to zero. Let's go step by step:

-5/3 x² + 3x + 11 = -9 + 25/3 x²

First, let's simplify the equation by multiplying each term by 3 to eliminate the fractions:

-5x² + 9x + 33 = -27 + 25x²

Next, let's combine like terms:

-5x² - 25x² + 9x + 33 = -27

-30x² + 9x + 33 = -27

Now, let's bring all the terms to one side to have a quadratic equation equal to zero:

-30x² + 9x + 33 + 27 = 0

-30x² + 9x + 60 = 0

Finally, we have the quadratic equation in standard form:

-30x² + 9x + 60 = 0

Dividing each term by 3, we get:

-10x² + 3x + 20 = 0

(-2x + 5)(5x + 4) = -10x² + 3x + 20

So, the factored form of the equation -30x² + 9x + 60 = 0 is:

(-2x + 5)(5x + 4) = 0

Now we can set each factor equal to zero and solve for x:

-2x + 5 = 0 --> x = 5/2

5x + 4 = 0 --> x = -4/5

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

Answer:

I don't know.

Step-by-step explanation:

I don't know.

Answer: $4.00 or $4

Step-by-step explanation:

Answer: 4$

Explanation: I just answer the question and got it right.

Answer:

(14,0)

Step-by-step explanation:

slope 10/5 or 2

Answer:  a/2 + a/2

What property states this equation

Step-by-step explanation:

The number of unemployed in the given economy can be calculated as follows:

Unemployed = Number of Labour force - Number of Employed Unemployed = 625 million - 480 million Unemployed = 145 million

The unemployment rate can be calculated by dividing the number of unemployed individuals by the number of individuals in the labour force and then multiplying the quotient by 100.

Unemployment Rate = (Unemployed/Labour force) × 100 Unemployment Rate = (145 million/625 million) × 100 Unemployment Rate = 23.2%

The population of the given economy can be calculated as follows:

Population = Number of Employed + Number of Individuals not in Labour ForcePopulation = 480 million + 125 millionPopulation = 605 million

Therefore, the number of unemployed in the given economy is 145 million, the unemployment rate is 23.2%, and the population is 605 million.

To know more about hypothetical economy visit:
https://brainly.com/question/30889430

#SPJ11

Answer: $16

Step-by-step explanation:

reduce by 20% means cutting from 100% and leftover with 80% of original

                                            100%-20%=80%

original price: $20×100%=$20

after reduction: $20×(100%-20%)=$16

Answer:

16

Step-by-step explanation:

First find the discount

20 * 20%

20 * .20

4

Subtract this from the price

20 -4

16

The new price is 16

P(X = 7), λ = 6: The Poisson probability of X = 7, with a parameter (λ) value of 6, is 0.1446. P(X = 11), λ = 12: The Poisson probability of X = 11, with a parameter (λ) value of 12, is 0.0946. P(X = 6), λ = 8: The Poisson probability of X = 6, with a parameter (λ) value of 8, is 0.1206.

The Poisson probability is used to calculate the probability of a certain number of events occurring in a fixed interval of time or space, given the average rate of occurrence (parameter λ). The formula for Poisson probability is P(X = k) = (e^-λ * λ^k) / k!, where X is the random variable representing the number of events and k is the desired number of events.

To calculate the Poisson probabilities in this case, we substitute the given values of λ and k into the formula. For example, for the first case (a), we have λ = 6 and k = 7: P(X = 7) = (e^-6 * 6^7) / 7!

Using a calculator, we can evaluate this expression to find that the probability is approximately 0.1446. Similarly, for case (b) with λ = 12 and k = 11, and for case (c) with λ = 8 and k = 6, we can apply the same formula to find the respective Poisson probabilities.

Learn more about probability here:

https://brainly.com/question/31828911

#SPJ11

If Lisa spends her income on veggie burgers and pints of soy milk and the price of veggie burgers is three times the price of a pint of soy milk, then when Lisa maximizes her utility she will buy both goods until the marginal utility of veggie burgers is three times the marginal utility of soy milk.

Therefore, if Lisa spends her income on veggie burgers and pints of soy milk and the price of veggie burgers is three times the price of a pint of soy milk, then when Lisa maximizes her utility she will buy both goods until the marginal utility of veggie burgers is three times the marginal utility of soy milk.

Know more about marginal utility here:

https://brainly.com/question/15050855

#SPJ4

Answer:

the answer is option A

PLEASE MARK ME AS BRAINLY

Step-by-step explanation:

Answer:

{-4, 2, 6, 9}

Step-by-step explanation:

I took the quiz lol

Answer:

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

Step-by-step explanation:

It is called a "variable" or sometimes an "unknown"

A variable is an abstract storage location paired with an associated symbolic name, which contains some known or unknown quantity of information referred to as a value; or in simpler terms, a variable is a named container for a particular set of bits or type of data.

here, we have,

The letter "x" is often used in algebra to mean a value that is not yet known.

It is called a "variable" or sometimes an "unknown".

In x + 2 = 7, x is a variable, but we can work out its value if we try!

A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

Hence, x is called a "variable" or sometimes an "unknown".

To learn more on variable click:

https://brainly.com/question/19585043

#SPJ2

Answer:

3

Step-by-step explanation:

Answer:

y=5

Step-by-step explanation:

the way you do this is by adding 2 and 3 because two negatives make a positive.

Answer:

f(-9) = -119

Step-by-step explanation:

Hello!

You can evaluate for f(-9) by substituting -9 for x in the equation f(x) = -11 + 12x.

The evaluated value is -119.

The diver collected water samples at every 3 meters, starting from 5 meters below the water surface, up to a final depth of 35 meters.

We can find the number of samples collected by dividing the total depth range by the distance between each sample and then adding 1 to include the first sample.

The total depth range is:

35 m - 5 m = 30 m

The distance between each sample is 3 m, so the number of samples is:

(30 m) / (3 m/sample) + 1 = 10 + 1 = 11

Therefore, the diver collected a total of 11 water samples.