Ron purchases $32,000 worth of stock on his brokers advice and pays his broker a 1.25% broker fee how much did he pay his broker

If the mpc increases in value, the consumption function will become steeper.

What is MPC ?

MPC is an advanced method of process control that is used to control a process while satisfying a set of constraints. In economics, the marginal propensity to consume is a metric that quantifies induced consumption, the concept that the increase in personal consumer spending occurs with an increase in disposable income. The proportion of disposable income which individuals spend on consumption is known as propensity to consume. MPC is the proportion of additional income that an individual consumes.

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Answer:

x=20

Step-by-step explanation:

Rewrite the equation as  

x /32 = 5/ 8

Multiply both sides of the equation by 32

32 ⋅ x /32 = 32 ⋅ 5/8

Simplify both sides of the equation.

Cancel the common factor of  

32

Cancel the common factor.

Rewrite the expression.

x = 32 ⋅ 5/8

Simplify  

32⋅5/8

Cancel the common factor of  

8

Factor  8  out of  32

x = 8 ( 4 ) ⋅ 5/8

Cancel the common factor.

Rewrite the expression.

x = 4 ⋅ 5

Multiply  4  by  5

Answer:

1. y=5 and x=-5

2. y=2 and x=-4

Step-by-step explanation:

1.y=-5x-19

y=-6x-24

since both equations are equal to y, they are also equal to eachother

-5x-19=-6x-24

addition P.O.E.

x-19=-24

addition P.O.E.

x=-5

substitute x into one equation

y=-5*-5-19

y=6

2. y=-6x-22

y=-3x-10

since both equations are equal to y, they are also equal to eachother

-6x-22=-3x-10

addition P.O.E.

-22=3x-10

addition P.O.E.

-12=3x

division P.O.E.

-4=x

substitute x into one equation

y=-3*-4-10

y=2

The specified nth term in the expansion of the binomial (x - 5), where n = 7, is \(-5^7x\). In the expansion of a binomial \((a + b)^n\), each term can be represented as \(C(n, r) * a^{(n-r)} * b^r\), where C(n, r) is the binomial coefficient, representing the number of ways to choose r items from a set of n distinct items.

In this case, the binomial is (x - 5), and n is 7. To find the specified nth term, we need to determine the values of r and (n - r) in the term \(C(n, r) * a^{(n-r)} * b^r\). In this case, a is x, b is -5, and n is 7. The specified nth term occurs when r = 7, which means (n - r) is 0.

Plugging in the values, we have \(C(7, 7) * x^{(7-7)} * (-5)^7. C(7, 7)\)is equal to 1, \(x^{(7-7)\) is equal to\(x^0\), which is 1, and \((-5)^7\) is equal to \(-5^7\).

Therefore, the specified nth term in the expansion of the binomial (x - 5), where n = 7, is \(-5^7*x\).

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*answer was incorrect please see below*                                                                                                    

The difficulty of range as a measure of variability that is overcome by interquartile range is option b that is The range is influenced too much by extreme values.

The variance is the mean squared difference between each data point and the mean-centered distribution. A statistical assessment of the dispersion of values in a data collection is referred to as variance. Variance explicitly assesses how distant each number in the set is from the mean (average), and consequently from every other number in the set. Variance is a measure of how data points differ from the mean, whereas standard deviation is a measure of statistical data distribution. The primary distinction between the two is that standard deviation is expressed in the same units as the mean of the data, whereas variance is expressed in squared units.

Here,

The interquartile range overcomes the problem of range as a measure of variability. Extreme values have an undue impact on the range.

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The function f(x) = 3x³ + 5 is neither even nor odd. To determine whether a function is even or odd, you need to check how the function behaves when x is replaced with -x.

To determine whether the given function is even, odd, or neither, we need to check the following conditions:

Even function: If f(-x) = f(x) for all x in the domain of f, then the function is even.

Odd function: If f(-x) = -f(x) for all x in the domain of f, then the function is odd.

Let's check these conditions for the given function:

f(x) = 3x³ + 5

f(-x) = 3(-x)³ + 5 = -3x³ + 5

f(x) = 3x³ + 5

Since f(-x) is not equal to f(x), the function is not even.

f(-x) = 3(-x)^3 + 5 = -3x^3 + 5

-f(x) = -(3x^3 + 5) = -3x^3 - 5

Since f(-x) is not equal to -f(x), the function is not odd.

Therefore, the given function is neither even nor odd.

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The number of children and adults in swimming pool is 398 and 224.

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form;

Ax + B = 0.

We are given that;

Number of people swimming=613

Price of children=$1.75

Price of adults= $2.25

Total= $1184.75

Let, number of children be x

Number of adults be y

Now, the equations will be

x+y=613....1

1.75x+2.25y=1184.75....2

On solving both the equations

X=389, y=224

Therefore, the solution of linear equation will be 389 and 224.

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The complete question is;

on a certain hot Summer's Day 613 people use the public swimming pool the daily prices are $1.75 for children $2.25 for adults the receipts for admission totaled $1184.75 how many children and how many adults when I am at the public for that day​

Answer:

The answer is "\(x(\frac{250}{3}-x)\)"

Step-by-step explanation:

Both points are similar that's why the solution is:

\(\to \frac{6x+6y=500}{6}\\\\\to x+y=\frac{250}{3}\\\\\to y= \frac{250}{3}-x \\\\\to Area= xy\\\\ \to Area= x(\frac{250}{3}-x)\)

The set of the value for which the curve and line have no common point are is k ∈ (0 , 4).

The value for which the line is a tangent is k = 4.

The coordinates of the point where the line touches the curves is point of tangency = ( 1/2 , 2).

What is tangent?

Tangents in geometry are lines or planes that contact curves or surfaces at points where they are closer to the curve than any other lines or planes drawn through those points.

Given equations in the question:

y = kx² + 1  

y = kx

Equating y

kx² + 1   = kx

kx² -kx  + 1 =  0

This is Quadratic equation is of the form ax²+bx+c=0  where a  , b and c are real also  a≠0.

D =  b²-4ac is called discriminant.

and we know that,

D >0 roots are real and distinct

D =0 roots are real and equal

D < 0 roots are imaginary ( not real ) and different

For no common solution  D < 0

For tangent  D = 0

so,

kx² -kx  + 1 =  0

D = (-k)² - 4k  = k² - 4k = k(k - 4)

k(k - 4) < 0

if  0 < k < 4

Hence values of k for which the curve and the line have no common points is k ∈ (0 , 4).

for tangent

k(k - 4)  = 0

k is non zero

Hence k = 4

After putting the value of k, given equations are:

y = 4x² + 1  

y = 4x

solving these equations to get value of x and y:

4x² + 1   = 4x

4x² - 4x + 1 = 0

(2x - 1)² = 0

x = 1/2

y = 2

Point of tangency = ( 1/2 , 2)

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Using proportions, it is found that the deducted amounts each year are given as follows:

The tax rates are missing, and they are given as follows:

A proportion is a fraction of a total amount, and the measures can be related using a rule of three, which derives from proportional relationships.

Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures, involving operations such as division and multiplication, as they involve unit rates.

Considering that a year has 52 weeks, her yearly salary is given as follows:

52 x 570 = $29,640.

Considering the tax rate, the deducted amount for Social Security is given by:

0.0620 x 29640 = $1,837.68.

Considering the tax rate, the deducted amount for Medicare is given by:

0.0145 x 29640 = $429.78.

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Answer:

the answer is 2.3

First The Number will be in decimal:

2.3

Answer:

4b

Step-by-step explanation:

To solve this division problem, you need to divide 44b2−22b by 11b. To do this, you can use the long division method. Begin by dividing the first term of the dividend (44b2) by the divisor (11b). The quotient will be 4b and the remainder will be 0. Then, subtract the remainder from the next term of the dividend (22b). This will give you a difference of 22b. Divide this by the divisor (11b), and you will get a quotient of 2b and a remainder of 0. Since the remainder is 0, the final answer is 4b.

To find real square roots of 361/25, simplify the fraction, find the square root of the numerator and denominator separately, and simplify. (19/5) is the only real square root of 361/25.

To find all the real square roots of the number 361/25, we can first simplify the fraction. 361/25 is equal to (19^2)/(5^2).

Now, let's find the square root of the numerator and the denominator separately.

The square root of 19^2 is 19, and the square root of 5^2 is 5.

Therefore, the simplified square root of 361/25 is (19/5).

Since the question asks for all the real square roots, we can say that (19/5) is the only real square root of 361/25.

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Answer:

j

Step-by-step explanation:

The car's altitude remains constant at 50 meters beyond 100 meters, option C is the correct answer: C. As the car travels its altitude increases, but then it reaches a plateau and its altitude stays the same.

The piecewise equation given is:

a = {0.5x if d < 100, 50 if d ≥ 100}

To describe the change in altitude of the car as it travels from the starting point to about 200 meters away, we need to consider the different regions based on the distance (d) from the starting point.

For 0 < d < 100 meters, the car's altitude increases linearly with a rate of 0.5 meters per meter of distance traveled. This means that the car's altitude keeps increasing as it travels within this range.

However, when d reaches or exceeds 100 meters, the car's altitude becomes constant at 50 meters. Therefore, the car reaches a plateau where its altitude remains the same.

Since the car's altitude remains constant at 50 meters beyond 100 meters, option C is the correct answer:

C. As the car travels its altitude increases, but then it reaches a plateau and its altitude stays the same.

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Complete question is below

The change in altitude (a) of a car as it drives up a hill is described by the following piecewise equation, where d is the distance in meters from the starting point. a { 0 . 5 x if d < 100 50 if d ≥ 100

Describe the change in altitude of the car as it travels from the starting point to about 200 meters away.

A. As the car travels its altitude keeps increasing.

B. The car's altitude increases until it reaches an altitude of 100 meters.

C. As the car travels its altitude increases, but then it reaches a plateau and its altitude stays the same.

D. The altitude change is more than 200 meters.

Answer:

1.5

Step-by-step explanation:

If we turn 2/3 in to a decimal, it would be 0.6 with the 6 repeating. We can tell that 1.5 has a one that is whole, so 1.5 would be greater.

Answer:

Step-by-step explanation:

13. when y = -3

we have, y = 1/6 x

             or, -3 =1/6 x

              or, -18 = x

when x= 3

we have, y = 1/6 x

             or, y = (1/6) 3

             or, y= 1/2

when y=1

we have, y = 1/6 x

or, 1= 1/6 x

or, 6 =x

Do same for 14 and 15 also :)

Answer:

True

Step-by-step explanation:

The point \((0,3)\) lies on the graph.

Answer:

(0, 3)

Step-by-step explanation:

The function is p(x).

p(0) = 3 means at x = 0, p = 3.

The ordered pair is (0, 3)

This equation models the number of people who use the health plan, N, as a function of time in years from now, t. It includes a quadratic term (ct²) in addition to the linear term (bt) and the constant term (a).

The equation that models the number of people who use the health plan, N, as a function of time in years from now, t, can be represented by the equation N = a + bt, where a and b are constants.

This equation assumes a linear relationship between the number of people using the health plan and time. The constant a represents the initial number of people using the health plan (the y-intercept), while the constant b represents the rate of change in the number of people over time (the slope).

By plugging in different values of t, we can estimate the corresponding number of people using the health plan at different points in time. It's important to note that this equation assumes a linear trend and may not accurately capture complex dynamics or future uncertainties in health plan usage.

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The probability that a data value is less than two standard deviations from the mean is 95.45%.

In a normal distribution, approximately 68% of the data values fall within one standard deviation from the mean. This means that about 68% of the data values lie between the mean minus one standard deviation and the mean plus one standard deviation.

If we extend this to two standard deviations from the mean, we find that approximately 95.45% of the data values fall within two standard deviations from the mean. This means that about 95.45% of the data values lie between the mean minus two standard deviations and the mean plus two standard deviations.

Therefore, the probability that a data value is less than two standard deviations from the mean is 95.45%.

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The probability that a data value is less than two standard deviations from the mean is 95.45%.

In a normal distribution, approximately 68% of the data values fall within one standard deviation from the mean. This means that about 68% of the data values lie between the mean minus one standard deviation and the mean plus one standard deviation.

If we extend this to two standard deviations from the mean, we find that approximately 95.45% of the data values fall within two standard deviations from the mean. This means that about 95.45% of the data values lie between the mean minus two standard deviations and the mean plus two standard deviations.

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For the distribution of quiz score if score x = 3 or higher represents the passing grade then number of individual passed is equal to option c. 16.

Distribution of the quiz score :

x :       5      4        3        2         1

f   :      6       5        5       3          2

Here 'x' represents the score in the quiz.

And 'f' represents the frequency of number of individual got the score x.

Score x = 3 or higher is required to pass the grade.

Number of individual who passed the grade is equal to

= Frequency of [ ( x = 5 ) + ( x = 4 ) + ( x = 3 ) ]

= 6 + 5 + 5

= 16

Therefore, option c. 16 represents the number of individuals from the distribution of quiz score has passed the grade.

The above question is incomplete, the complete question is:

For the following distribution of quiz scores, if a score of X = 3 or higher is needed for a passing grade, how many individuals passed?

x :       5      4        3        2         1

f   :      6       5        5       3          2

Which one would it be the correct answer.

a. 3            b. 11          c. 16          d. cannot be determined

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We have to find the area under the graph but since we are not given the graph ,So let's learn how it is done. To estimate the area under the graph of function f from x, you can use rectangles. Here's how you can do it:

Step 1: Divide the interval [a, b] into six equal subintervals.
Step 2: Calculate the width of each rectangle by dividing the total width of the interval [a, b] by the number of rectangles (in this case, 6).
Step 3: For each subinterval, find the value of the function f at the right endpoint of the subinterval.
Step 4: Multiply the width of the rectangle by the value of the function at the right endpoint to find the area of each rectangle.
Step 5: Add up the areas of all six rectangles to estimate the total area under the graph of f from x.

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To find the equation of a line parallel or perpendicular to a given line through a point, determine the slope and substitute the point's coordinates into the slope-intercept form.



To find the equation of a line parallel or perpendicular to a given line through a specific point, follow these steps:

1. Determine the slope of the given line. If the given line is in the form y = mx + b, the slope (m) will be the coefficient of x.

2. Parallel Line: A parallel line will have the same slope as the given line. Using the slope-intercept form (y = mx + b), substitute the slope and the coordinates of the given point into the equation to find the new y-intercept (b). This will give you the equation of the parallel line.

3. Perpendicular Line: A perpendicular line will have a slope that is the negative reciprocal of the given line's slope. Calculate the negative reciprocal of the given slope, and again use the slope-intercept form to substitute the new slope and the coordinates of the given point. Solve for the new y-intercept (b) to obtain the equation of the perpendicular line.

Remember that the final equations will be in the form y = mx + b, where m is the slope and b is the y-intercept.Therefore, To find the equation of a line parallel or perpendicular to a given line through a point, determine the slope and substitute the point's coordinates into the slope-intercept form.

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The population mean (U) is equal to 100.

In this hypothesis test, the null hypothesis (H0) is that the population mean (U) is equal to 100, and the alternative hypothesis (Ha) is that the population mean (U) is not equal to 100.

We can use the given level of significance, α = 0.05, to determine our decision rule.

For the given sample results, we will first consider a. mean = 103 and s = 11.5.

We can use the Z-test to calculate the Z-score which is: Z = (103 - 100)/(11.5/√65) = 2.16. Since the Z-score is greater than the critical value (1.96), we can reject the null hypothesis and conclude that the population mean (U) is not equal to 100.

Next, for the sample result b. mean = 102 and s = 10.5,

we will again use the Z-test to calculate the Z-score which is: Z = (102 - 100)/(10.5/√65) = 1.85.

Since the Z-score is less than the critical value (1.96), we fail to reject the null hypothesis and conclude that the population mean (U) is equal to 100.

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The sample proportion of the business travelers who use a laptop computer on overnight trips is 0.6417.

Given:

a survey that found that 351 of 547 business travelers use a laptop computer on overnight business trips.

we are asked to find the sample proportion based on this survey, who use a laptop computer on overnight business trips = ?

sample proportion:

The sample proportion (p) indicates the percentage of people in a sample who exhibit a particular quality or attribute. Divide the number of individuals (or items) who have the desired attribute by the overall sample size to obtain the sample proportion.

P = X/N

P = 351/547

P = 0.641681

round off to four decimal places.

P = 0.6417

Hence we get the sample proportion as 0.6417

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By definition of tangent,

tan(A + B) = sin(A + B) / cos(A + B)

Using the angle sum identities for sine and cosine,

sin(x + y) = sin(x) cos(y) + cos(x) sin(y)

cos(x + y) = cos(x) cos(y) - sin(x) sin(y)

yields

tan(A + B) = (sin(A) cos(B) + cos(A) sin(B)) / (cos(A) cos(B) - sin(A) sin(B))

Multiplying the right side by 1/(cos(A) cos(B)) uniformly gives

tan(A + B) = (tan(A) + tan(B)) / (1 - tan(A) tan(B))

Since 2 tan(A) = 3 tan(B), it follows that

tan(A + B) = (3/2 tan(B) + tan(B)) / (1 - 3/2 tan²(B))

… = 5 tan(B) / (2 - 3 tan²(B))

Putting everything back in terms of sin and cos gives

tan(A + B) = (5 sin(B)/cos(B)) / (2 - 3 sin²(B)/cos²(B))

Multiplying uniformly by cos²(B) gives

tan(A + B) = 5 sin(B) cos(B) / (2 cos²(B) - 3 sin²(B))

Recall the double angle identities for sin and cos:

sin(2x) = 2 sin(x) cos(x)

cos(2x) = cos²(x) - sin²(x)

and multiplying uniformly by 2, we find that

tan(A + B) = 10 sin(B) cos(B) / (4 cos²(B) - 6 sin²(B))

… = 10 sin(B) cos(B) / (4 (cos²(B) - sin²(B)) - 2 sin²(B))

… = 5 sin(2B) / (4 cos(2B) - 2 sin²(B))

The Pythagorean identity,

cos²(x) + sin²(x) = 1

lets us rewrite the double angle identity for cos as

cos(2x) = 1 - 2 sin²(x)

so it follows that

tan(A + B) = 5 sin(2B) / (4 cos(2B) + 1 - 2 sin²(B) - 1)

… = 5 sin(2B) / (4 cos(2B) + cos(2B) - 1)

… = 5 sin(2B) / (4 cos(2B) - 1)

as required.

Answer:

15\(x^{3}\) ( \(x\) + 1 )

Step-by-step explanation:

5\(x^{4}\) + 10\(x^{4}\) + 15\(x^{3}\)

Simply the expression where there are like terms.

15\(x^{4}\) + 15\(x^{3}\)

15 and \(x^{3}\) are common terms. Take them out and place the remaining inside the bracket.

15\(x^{3}\) ( \(x\) + 1 )

Answer:

$ 8.40

Step-by-step explanation:

divide 84 by 10 and you will get $8.40.

To find how much they bought each book for, you must divide by 10. 74 divided by 10 is 7.4. Then if they are selling them for 20% more, then multiply 7.4 and 1.2

Your answer is $8.80