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%

Answers

Answer 1

The required coupon rate of Samantha's bond is 4%.

Explain coupon rate of bond.

The coupon rate is the annual income an investor can expect to receive while holding a particular bond. It is fixed when the bond is issued and is calculated by dividing the sum of the annual coupon payments by the par value. At the time it is purchased, a bond's yield to maturity and its coupon rate are the same.c

According to question:

We have,

principal amount = $600

Amount after five year = $720

Interest of five year = $(720 - 600) = $120

Then,

Interest of one year = $120/5 = $24

Now,

Coupon rate = ($24/600)×100 = 4%

Thus, required coupon rate is 4%.

To know more about coupon rate of a bond visit:

brainly.com/question/22504216

#SPJ4


Related Questions

5(2t -3) - 7.5t = 0.5 (12-t) Show your work

Answers

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

What is an estimate of the coordinates of the solution of the system to the nearest tenth?

Answers

Answer:

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

Step-by-step explanation:

The angles of a triangle add up to 180 degrees. The second angle is 6 degrees larger than the smallest angle. The third angle is 4 times as big as the smallest angle. Find the measure of the smallest angle (in degrees) degrees

Answers

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°

Read more about the Triangles sum theorem:

brainly.com/question/880608

#SPJ4

Apply the distributive property to factor out the greatest common factor. 30+42=30+42=30, plus, 42, equals.

Answers

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

What is distributive property?

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.

Know more about the distributive property here:

brainly.com/question/2807928

#SPJ4

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

a) ¿Cuántas veces contiene la unidad base a la correspondiente del prefijo deci?

Answers

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.

What are Base Units?

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.

Learn more about Base Units here :

https://brainly.com/question/16653183

#SPJ2

The question in English is,

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

If you pay $25 per month for your cell phone and an additional $5 for each picture
you send, an equation to represent the cost of your phone would be
y = 5x + 25
y = 25x + 5
y = 3x + 1
y = x + 30

Answers

The answer is y= 5x+25

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.

What is Equation?

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.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

PLEASE HURRY! I WILL GIVE BRAINLIEST TO THE PERSON WHO GIVES THE RIGHT ANSWER! DO NOT SPAM OR I WILL REPORT!
2300 dollars is placed in an account with an annual interest rate of 5.5%. To the nearest tenth of a year, how long will it take for the account value to reach 4300 dollars?

Answers

Answer:

I think 6.2 years

Step-by-step explanation:

I THINK OK

by what number do we multiply the initial enrollment to get the enrollment one decade later given a 30 % increase

Answers

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

Describe the term percentage of the number?A value or ratio that might be stated as a fraction over 100 is thought to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its total and then multiply it by 100. The proportion ultimately refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

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.

To know more about the percentage of the number, here

https://brainly.com/question/24877689

#SPJ4

Divide.
8 ÷ 1/9
Enter your answer in the box.​

Answers

Answer:

0.8888888..... repeating

Step-by-step explanation:

Answer:

72/1

Step-by-step explanation:

multiply 8 and 9/1

a statistics teacher started class one day by drawing the names of 10 students out of a hat and asked them to do as many pushups as they could. the 10 randomly selected students averaged 15 pushups per person with a standard deviation of 9 pushups. suppose the distribution of the population of number of pushups that can be done is approximately normal. what is the standard error of the mean?

Answers

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).

To learn more about interval visit: https://brainly.com/question/11051767

#SPJ4

a hand of 13 cards is dealt at random from a bridge deck of 52 cards. find the probability that the hand contains 4 queens. (round your answer to four decimal places.)

Answers

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.

Learn more about probability on

https://brainly.com/question/11234923?referrer=searchResults

#SPJ4

PLS HELPP Which algebraic expression is equivalent to 3(2x – 7)

Answers

Answer:

6x-21

Step-by-step explanation:

6x*3 - 7*3

Answer is 6x -21

Step by step

This expression can be simplified using distribution

3 (2x -7)

Multiply the number outside the brackets by the numbers inside the brackets

6x - 21

The mathematical way to describe an interaction is: O A difference in differences A A caveat O A qualified main effect O A patterned pattern

Answers

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

What is an interaction?

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.

Learn more about interaction at: https://brainly.com/question/15097936

#SPJ4

a bowling team has 6 members. how many ways can the captain of the team arrange the bowlers for a game

Answers

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

Explain the term arrangement?Generally speaking, an arrangement among objects is just a collection of them. A combination (ordering is disregarded) or permutation is used to determine the number possible "arrangements" of the components (order is significant). An arrangement of items in a specific order is referred to as a permutation. Here, the components of sets were arranged in a linear or sequential order.

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.

To know more about the arrangement, here

https://brainly.com/question/6018225

#SPJ4

10c - cd + d^3 (if c = -6 and d= 2)

Answers

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.

What is simplification?

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.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ1

3|2z+9|+12=10. Please help quickly

Answers

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

How to solve the equation?

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.

Learn more about absolute value equations:

https://brainly.com/question/5012769

#SPJ1

A company determines an employee's starting salary according to the number of years of experience, as detailed in the table. Years of experience salary 0 $40,000 1 $42,150 2 $44,260 3 $46,785 4 $48,820 5 $51,126 use the equation for the line of best fit to predict the salary for an employee with 7 years of experience? (round your answer to the nearest dollar. ) $52,900 $53,340 $53,914 $55,573.

Answers

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 line of best fit is what?

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.

What is the equation of best fit?

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.

Click here to read more about best fit online: brainly.com/question/12891189

#SPJ4

Each of the 6 people in Mandy's family orders 2 tacos. Each taco costs $3. What
is the total cost of the tacos?

Answers

Answer: $36

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

12 times 3 is 36

. A grain merchant sold 600 quintals of rice at a profit of 7%. If a quintal of rice cost him Rs 250 and his total overhead charges for transportation, etc. were Rs 1000 find his total profit and the selling price of 600 quintals of rice.​

Answers

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.

6. a survey shows that 360 out of 500 females and 600 out of 800 males enjoy a game show. based on this evidence, would you argue that the ratio of female and male viewers who enjoy the game show differs? use a 5% level of significance

Answers

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

Explain the meaning of the term ratio of the number?When two or maybe more numbers are compared, the ratio shows how big one is in relation to the other. The dividend or quantity being divided is referred to as the antecedent, and also the divisor or quantity that also is dividing is referred to as the consequent. A ratio analyzes numbers by division.

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.

To know more about the ratio of the number, here

https://brainly.com/question/2914376

#SPJ4

Which image shows a rotation?

Answers

Answer:

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

point is 9 units from the center of a circle of radius 15. how many different chords of the circle contain and have integer lengths?

Answers

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?

Learn more about chords here

brainly.com/question/21686011

#SPJ4

find the quotient of 2 divided by 6,138

Answers

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.

Tell whether 20/8 and 28/9 form a proportion.

Answers

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

Learn more about proportions fractions  on https://brainly.com/question/12248731

#SPJ1

when solving the equation, which is the best first step to begin to simplify the equation? negative 2 (x 3)

Answers

Answer:

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

please help me i need it bad

Answers

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]

10 points . Which graph shows Y=⌊x⌋+3? ... Picture provided

Answers

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

How to obtain the graph of the function?

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:

Open on the left interval.Closed on the right interval.

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:

The left graphs give incorrect values, as the horizontal traces are too long.The top right graph has the wrong open/closed intervals.

More can be learned about floor functions at https://brainly.com/question/16238292

#SPJ1

A​ salesperson's commission rate is ​6%. What is the commission from the sale of 44000 worth of​ furnaces? Use pencil and paper. Suppose sales would double. What would be true about the​ commission? Explain without using any calculations.

Answers

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

three women are selected from the audience of a style show to receive a purse, a pair of gloves, and a scarf. if 23 women are present, in how many different ways may the gifts be given?

Answers

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.

To learn more about sequences

brainly.com/question/1458970

#SPJ4

consider the following binomial experiment: a survey shows 53% of households in centercity own a dvd player. in a random sample of 22 households in this city, what is the probability that exactly 17 households own a dvd player? a) 0.0121 b) 0.0124 c) 0.0120 d) 0.0123 e) 0.0126 f) none of the above.

Answers

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

How to calculate the probability?

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.

Learn more about binomial here:

brainly.com/question/24123309

#SPJ4

Other Questions
joe works for a company where the it department charges him for the number of crm login accounts that are in his department. what type of it funding model is his company deploying? Suppose you are babysitting your little brother. In Spanish, use an informal command form to tell him to do three things using the verbs hacer, ir, and ser.Example: Ve a tu cuarto. endure all, a manufacturer of batteries claims that the lifetime of their batteries is normally distributed with a mean of 500 hours and a standard deviation of 40 hours. what is the probability that an endure all battery selected at random will last more than 550 hours? a) 0.8944 b) 0.1151 c) 0.8849 d) 0.1056 e) 0.1587 f) none of the above. to prepare for surgery, the surgical instruments undergo and the area on the patient undergoes . a. sterilization, disinfection b. disinfection, sanitization c. sterilization, antisepsis d. sanitization, antisepsis e. decontamination, antisepsis Of chief concern among school districts that were the first to use school social workers included all but which of the followinga. child maladjustment.b. child handicaps.c. students with erratic school attendance.d. gifted students. if i uninstall a game from my ps4 due to lack of memory space, will i lose all my progress and save datas? Jaxon goes to a restaurant and the subtotal on the bill was x dollars. A tax of 8% is applied to the bill. Jaxon decides to leave a tip of 23% on the entire bill (including the tax). Write an expression in terms of x that represents the total amount that Jaxon paid. suppose that a price-discriminating producer divides its market into two segments. if the firm sells its product at a price of $34 in the market segment with relatively less-elastic customer demand, the price in the market segment with more-elastic customer demand will be the scores on a standardized test are normally distributed with a mean of 100 and standard deviation of 20. what test score is 1.5 standard deviations below the mean? mr. exotic ordered an rflp analysis to determine the father of his new-born tiger litter. you are the scientist in charge of analyzing the results. who is the biological father according to the rflp analysis below? mo the plant-wide rate approach is the simplest to apply, but it is also the most costly to implement, compared to a departmental or activity-based cost allocation system. A nurse on a medical-surgical unit is caring for a client who has a new prescription for wrist restraints. Which of the following actions should the nurse take?a. pad the client's wrist before applying the restraints b. evaluate the client's circulation every 8 hr after application c. remove the restraints every 4 hr to evaluate the client's status d. secure the restraint ties to the bed's side rails ASAP!!!Determine the perimeter of the right triangle shown. Round your final answer to the nearest whole number, if necessary.5 units12 units16 units25 units obsessive-compulsive disorder is more often seen in those with the restrictive type of anorexia nervosa, whereas alcohol use disorder and other substance use disorders are more commonly seen in those with anorexia who engage in Which statement best describes the debate over slavery at the Constitutional Convention? A. The delegates were divided over the impact of slavery on the national economy.B. Many delegates believed that enslaved persons should be allowed to vote. C. Many delegates believed that enslaved persons should be awarded citizenship. D. The delegates were divided over whether the practice of slavery should be allowed. how many liters of a 0.209m ki solution is needed to completly react with 2.43 g of cu(no3)2 according to the balanced chemical reaction Us human rights policy in the 20th and 21st centuries tried to balance the need to promote. scenario: assume that empathy state bank begins with the balance sheet shown and is not fully loaned-up. if this bank is subject to a reserve requirement of 5%, how much more can it loan out if it wants to be fully loaned-up? consider the initial value problem take the laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. denote the laplace transform of by . do not move any terms from one side of the equation to the other (until you get to part (b) below). help (formulas) solve your equation for . take the inverse laplace transform of both sides of the previous equation to solve for .] suppose that a vaccine is developed for a highly contagious strain of flu. the likelihood that anyone will get this flu decreases as more people receive the vaccine. what is consumer surplus when p