The coupon rate of a bond determines the percentage of interest earned on the bond each year. Samantha purchased a five-year municipal bond for $600. After the bond matured five years later, she had received a total of $720 in principal plus interest payments. What is the coupon rate of Samantha's bond?
4%
5%
10%
12%
20%

Commission rate = 6%

Sales = $43,000

Commission = 6% of 43,000

= 0.06 × 43,000

= $2,580

Suppose sales would double. What would be true about the​ commission?

If sales doubles, that is,

Sales = $86,000

Then, commission also doubles

Commission = $5,160

Check:

Sales = $86,000

Commission rate = 6%

Commission = 6% of $86,000

= 0.06 × 86,000

= $5,160

Answer:7

Step-by-step explanation:

Can write it as

10t -15 - 7.5t = 6 - 0.5t

2.5t -15 = 6 - 0.5

3t - 15= 6

3t = 21

t= 7

The wage for a worker with 7 years of experience may be calculated using the equation for the line of best fit as follows: D. $55,573.

A trend line, also known as a line of best fit, is a statistical (analytical) technique that is used with a scatter plot to ascertain whether or not there is any link (correlation) between a set of data.

In this case, the pay would be placed on the y-axis of the scatter plot and the employee's years of experience would be put on the x-axis.

A line of best fit can be described by the equation y=mx+b, where m denotes the slope and b the y-intercept. To comprehend the idea of how to roughly approximate the equation of a line of best fit and make predictions, we will look at two examples that show a scatter plot with a line of best fit.

We may rationally and logically conclude that the equation for the line of best fit is given by: by carefully examining the scatter plot that models the data in the provided table (see attachment).

y = 2233.3x + 39940

The wage for an employee with seven years of experience would thus be predicted using the equation for the line of best fit as follows:

y = 2233.3(7) + 39940

y = 15,633.1 + 39940

y = 55,573.1 ≈ $55,573.

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The probability of the hand containing 4 queens when picked at random is 0.0026.

We can solve the given question easily using probability,  permutations, and combinations.

 We can pick any card other than the queen in the following number of ways = ⁴⁸C₉  (i)

The queen card can be picked in the following number of ways

= ⁴C₄= 1 (ii)

The total number of ways to choose 13 cards is = ⁵²C₁₃  (iii)

Using the values of (i), (ii), and (iii), we get -

Probability = (⁴⁸C₉ * 1) /  ⁵²C₁₃

= [tex]\frac{48!/9!(48-9)! *1 }{52!/13!(52-13)! }[/tex]

= 1677106640 * 1 / 635013559600

= 0.00264

If this is rounded to four decimal places, we get = 0.0026.

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Answer:

Look at the solution to your other similar question and see if you can figure this one out now.

Step-by-step explanation:

We will see that the given equation is false for all values of z, thus, the equation has no solutions.

Here we have the absolute value equation:

3*|2z + 9| + 12 = 10

To solve this we first need to isolate the absolute value part, so let's do that:

3*|2z + 9| + 12 = 10

3*|2z + 9| = 10 - 12 = -2

|2z + 9| = -2/3

Now, remember that the absolute value is always a positive quantity, then the above equation is false, an absolute value never can be equal to a negative number.

Then our equation has no solutions.

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Answer:

Deci (símbolo d) es un prefijo del Sistema Internacional que indica un factor de 10−1 (1/10) o una décima parte.

The number of times that the base unit contains the corresponding prefix deci is 10.

Base units are the units which are used in measurements as the basic ones from which the other units of measurements has been derived.

Some of the common base units are second, meter, kilogram, etc.

We have to find the number of times the base unit contains the corresponding unit with prefix deci.

This means that how many times 1 meter contains decimeter.

This goes for each base units.

We know that,

1 meter = 10 decimeters

Any of the base units is 10 times the corresponding unit with prefix deci.

Hence the number of times that a base unit contains the corresponding unit with prefix deci is 10.

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The question in English is,

How many times does the base unit contain the corresponding prefix deci?

Answer= The number 6138 is called the numerator or dividend, and the number 2 is called the denominator or divisor.

The quotient of 6138 and 2, the ratio of 6138 and 2, as well as the fraction of 6138 and 2 all mean (almost) the same:

6138 divided by 2, often written as 6138/2.

Read on to find the result of 6138 divided by 2 in decimal notation, along with its properties.

The two given fractions  [tex]\frac{20}{8}[/tex] and [tex]\frac{28}{9}[/tex] do not form a proportion.

How to find fractions that are in the same proportion?

Proportion shows that two fractions are equivalent or equal.

The given fractions are  [tex]\frac{20}{8}[/tex] and [tex]\frac{28}{9}[/tex]

Proportions are expressed in the form a:b::c:d

Where a and b represent antecedent and consequent respectively

This implies that a:b::c:d ⇒ [tex]\frac{20}{8}[/tex] : [tex]\frac{28}{9}[/tex]

The values  [tex]\frac{20}{8}[/tex] = [tex]\frac{28}{9}[/tex]

Since (20x9) is not equal to (8x28)

Multiplying the two sides to get

180=224.  This is a wrong representation.

Therefore the two fractions do not show a proportion

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Total number of different chords of the circle passing through point P with integer lengths is equal to 7.

As given in the question,

Radius of the circle = 15units

Longest chord of the circle 'diameter' = 2 × 15

                                                               = 30units

Point 'P' is 9 units away from the circle.

Consider shortest distance( perpendicular) of point P for shortest chord.

Half length of the chord , shortest distance and radius form right triangle.

(1/2) length of the chord = √15² - 9²

                                        = √225 - 81

                                        = 12units

Length of the chord = 2(12)

                                 = 24 units

Different Chords with integer length = 24, 25, 26, 27, 28 , 29 , 30

Total number of different chords = 7

total number of chords = 6 original + 6 mirror image + 1 longest chord

                                       = 13

Therefore, total chords with different integer length passing through the point P of the circle is 7.

The complete question is :

A point P is at the 9 unit distance from the center of a circle of radius 15 unit. How many total number of different chord of the circle passing through the point P and have the integer lengths?

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Answer:

I believe the answer is A because one is a reflection and another is a translation.

The number of different possible ways in which the gifts can be given to 3 out of 23 women is 10626.

Each gift can be considered a position given to one of 23 women. The number of ways in which gift can be given to them is :

First gift : 23 possibilities

Second gift: 22 possibilities

Third gift: 21 possibilities

So, the gifts may be given in

23 * 22* 21

= 10626

We could encounter several patterns and number kinds in mathematics. Sequences are included in one of the number patterns.

Repetition is permitted and order is important in the sequence, which is a predetermined group of objects. Formally, a sequence is a function that connects the elements at each point to natural numbers. It has members, which are known as elements or words, just like a set.

The length of the sequence is determined by the number of items. In contrast to a set, the same items might appear more than once in a sequence at various points, and the order does important.

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The required simplified solution of the given expression is -40.

Given that,
To determine the simplified solution of the given expression 10c - cd + d³ at c = -6 and d = 2.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
= 10c - cd + d³

Substitute the values,
= -60 + 12 + 8
= -40

Thus, the required simplified solution of the given expression is -40.

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If you pay $25 per month for your cell phone and an additional $5 for each picture you send then y=25x+5 is the equation  to represent the cost of your phone.

Two or more expressions with an Equal sign is called as Equation.

Given that you pay $25 per month for your cell phone

An additional $5 for each picture you send

We have to find the equation which represent the cost of your phone

Let x be the number of months.

The equation should be in the form of y=mx+b

in the given equation m is the slope and b is the y intercept or the additional fee.

y=25x+5 is the required equation

Hence, if you pay $25 per month for your cell phone and an additional $5 for each picture you send then y=25x+5 is the equation  to represent the cost of your phone.

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The number of ways in which captain of the team arrange the 6 bowlers for a game is 720.

For the stated question-

Total members in bowling team = 6.

Number of ways to arrange them = 6!

Number of ways = 6 x 5 x 4 x 3 x 2 x 1

Number of ways = 720

Thus, the number of ways in which captain of the team arrange the 6 bowlers for a game is 720.

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Answer:

I think 6.2 years

Step-by-step explanation:

I THINK OK

Using the secant-secant theorem,

[tex]\frac{13x+7-60}{2}=5x-10 \\ \\ 13x-53=10x-20 \\ \\ 3x-53=-20 \\ \\ 3x=33 \\ \\ \boxed{x=11} \\ \\ \\ \\ \angle RDB=5(11)-10=\boxed{45^{\circ}}[/tex]

Using the t-distribution, we have that the 95% confidence interval for the true mean number of pushups that can be done is (9, 21).

Given that,

One day, a teacher of statistics randomly selected 10 pupils' names from a hat and instructed them to complete as many pushups as they could before class began. The 10 students who were chosen at random performed an average of 15 pushups, with a standard deviation of 9. Assume that the population's distribution of the maximum number of pushups is roughly normal.

We have to find what is the standard error of the mean.

We know that,

For this problem, we have the standard deviation for the sample, thus, the t-distribution is used.

The sample mean is of 15 is x=15 .

The sample standard deviation is of 9 is s=9.

The sample size is of 10 is n=10.

First, we find the number of degrees of freedom, which is the one less than the sample size, thus df = 9.

Then, looking at the t-table or using a calculator, we find the critical value for a 95% confidence interval, with 9 df, thus t = 2.2622

The margin of error is of:

M=ts/n

Then:

M=2.2622(9/√10)

M=6

The confidence interval is:

x±M

x-M=15-6=9

x+M=15+6=21

Therefore, Using the t-distribution, we have that the 95% confidence interval for the true mean number of pushups that can be done is (9, 21).

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Answer:

6x-21

Step-by-step explanation:

6x*3 - 7*3

The probability that exactly 17 households own a DVD player is b) 0.0124

P = probability of own DVD player = 53% = 0.53

n = sample of households = 22

x = number of households own a DVD player = 17

Since it is binomial experiment, we use binomial probability formula to calculate the probability.

P(X) = [tex]^{n}C_{x}\times P^{x}\times (1-P)^{n-x}[/tex]

With combination formula as below,

[tex]^nC_x[/tex] = [tex]\frac{n!}{x!(n-x)!}[/tex]

P(X) = [tex]^{22}C_{17}\times 0.53^{17}\times (1-0.53)^{22-17}[/tex]

= [tex]\frac{22!}{17!(22-17)!}\times 0.53^{17}\times 0.47^{5}[/tex]

= 26334 × 0.0000205 × 0.0229345

= 0.0123811

= 0.0124

Thus, the probability is 0.0124 for 17 households own DVD player.

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Answer: $36

Step-by-step explanation: 6 times 2 is 12

12 times 3 is 36

The measure of the smallest angle A of the triangle is 29°, whose second angle is 6 degrees larger than the smallest angle and the third angle is 4 times as big as the smallest one.

we know that the Sum of the measure of all the angles in the triangle is 180 degrees.

Let,  ∠ A = smallest angle

  ∠ B = A+6

 ∠ C = 4 (∠A)

So, we can write that,

∠ A + ∠ B +  ∠ C = 180°

∠A + (∠A+6) + 4∠A = 180°

6 +  ∠A + ∠ A + 4∠A = 180°

6 + 6 ∠A = 180°

6∠A = 180° - 6

6 ∠A = 174

∠A = 174/6

∠A = 29°

Hence, the smallest angle A is 29°

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It is concluded that the ratio of female and male viewers who enjoy the game shows the difference.

According to the survey-

360 out of 500 females enjoy the game.

Thus,

Ratio female = number of females who enjoy/ total number of females.

Ratio female = 360/500

Ratio female = 0.72

Now, 600 out of 800 males enjoy a game show.

Ratio male = number of males who enjoy/ total number of males.

Ratio male = 600/800

Ratio male = 0.75

Thus, Ratio female ≠ Ratio male

Therefore, it is concluded that the ratio of female and male viewers who enjoy the game shows the difference.

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The final enrollment after one decade is obtained by taking the 30% of the initial enrollment.

For the stated question-

Let initial enrollment = 100.

After one decade, the enrollment added 30% of the initial.

Thus,

= 100 + 30% of 100

= 100 + 130

= 130

Thus, the final enrollment after one decade is obtained by taking the 30% of the initial enrollment.

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Answer:

The total profit for the grain merchant selling 600 quintals of rice is Rs 12800. To calculate this, we first need to calculate the profit on one quintal. The profit percentage is 7%, so if a quintal costs Rs 250 the profit is 7% of 250 which is Rs 17.5. Now we multiply this with the number of quintals sold, which is 600, to get Rs 10500 as the profit. We then add in the overhead charges of Rs 1000 to get a total profit of Rs 12800. The selling price of 600 quintals of rice is therefore Rs 12800 plus Rs 250 times 600, which equals Rs 180000.

The greatest common factor of 30+42 according to the distributive property is 6×12.

The distributive law, which states that equality is always true in elementary algebra, is generalized by the distributive principle of binary operations in mathematics.

For instance, addition is said to be more evenly distributed than multiplication in elementary mathematics.

So, here we wish to calculate the largest common factor between the numbers 30 and 42, which equals the total of 30 and 42.

Going one for one, the biggest divisor of 30 is 15, and since 42 cannot be divided by 15, this means that there isn't a frequent divisor of 30 and 42.

Since 10 is not a divisor of 42 and is the second largest divisor of 30 (10*3 = 30), it is not a common divisor of both 30 and 42.

6, which is also a divisor of 42 (6*7 = 42), is the third-largest divisor of 30 (6*5 = 30).

Then both 30 and 42 have 6 in common the most.

We may factor the total now by:

30 + 42 = 6*5 + 6*7 = 6*(5 + 7) = 6*12

Therefore, the greatest common factor of 30+42 according to the distributive property is 6×12.

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Correct question:
Apply the distributive property to factor out the greatest common factor. 30+42

The graph that shows the function Y=⌊x⌋+3 is given by the image shown at the end of the answer.

The function in this problem is defined as follows:

Y=⌊x⌋+3.

The term ⌊x⌋ is the floor function of x, giving the greatest integer that assumes a value less than x.

The intervals to the function are given as follows:

Then the translation is given as follows:

Y = y + 3.

Meaning that the function was shifted three units up.

Thus the correct graph is the bottom right graph, given by the image shown at the end of the answer, because:

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The mathematical way to describe an interaction is: A difference in differences.

In statistics, an interaction may appear when analyzing the relationship between three or more variables, and defines a situation in which the effect of one causal variable on an outcome forms on the state of a second causal variable.

Interactions are often considered in the context of regression analyses or factorial experiments. An interaction happens when an independent variable has a different effect on the outcome depending on the values of another independent variable.

To find an interaction, we need a factorial design, in which the two (or more) independent variables are crossed with one another, so there are reflections at every combination of levels of the two independent variables.

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Answer:

Negative one-half (negative 2) (x + 3) = negative 10 (negative one-half

Answer:

0.8888888..... repeating

Step-by-step explanation:

Answer:

72/1

Step-by-step explanation:

multiply 8 and 9/1