solve this problem and I will give u brainlist!

Solve This Problem And I Will Give U Brainlist!

Answers

Answer 1

Answer:

32.16 degrees

Step-by-step explanation:

The angle of depression in these problems is always the same as the angle of elevation.

With that in mind, lets solve this problem.

So we are given 2 triangle lengths. The Hypotenuse is 898 ft, and the height of your triangle is 478 ft.

There are three trig functions, sine, cosine, and tangent, but we will be using sin for this triangle because he have the opposite side to the angle(see how the side labeled 478 ft is opposite to the angle of elevation?) and the hypotenuse.

Sin is defined as opposite/hypotenuse.

Now, we make our equation:

sin(478/898) = x

x is your answer, just plug it into a calculator.

You get 32.16 degrees


Related Questions

T/F Synergy is obtained when the value created by two divisions operated separately and independently is greater than the value that would be created by two divisions cooperating.

Answers

Synergy is obtained when the value created by two divisions operated separately and independently is greater than the value that would be created by two divisions cooperating. The given statement is False.

The statement is false. Synergy is a term used to describe the benefits that can be achieved when two or more parts of a business work together to create more value than they could on their own. In other words, when two divisions cooperate and work together, the combined value they create is greater than the value that would be created if they worked independently and separately.

For example, if a company has a marketing division and a sales division, these two divisions could work independently to achieve their goals. However, if they work together and share information, resources, and expertise, they can create more value by developing more effective marketing strategies that lead to increased sales. In this case, the combined value of the marketing and sales divisions working together is greater than the value they could create if they worked independently.

Therefore, it is incorrect to say that synergy is obtained when two divisions operate separately and independently to create greater value than they would if they cooperated.

To learn more about working visit:

https://brainly.com/question/21724760

#SPJ11

roland received a score of 70 on a test for which the mean score was 65.5. Roland has learned that Z-score for his test 0.6. What is the standard deviation for this set of test scores?

Answers

If Roland has Z-score for his test 0.6, the standard deviation for this set of test scores is 7.5

To find the standard deviation for this set of test scores, we can use the z-score formula:

Z-score = (X - μ) / σ

Where:
- Z-score is 0.6 (given)
- X is Roland's score of 70
- μ is the mean score of 65.5
- σ is the standard deviation we need to find

Now we can plug in the values and solve for σ:

0.6 = (70 - 65.5) / σ

Next, we can rearrange the equation to solve for σ:

σ = (70 - 65.5) / 0.6

Finally, calculate the standard deviation:

σ = 4.5 / 0.6

σ ≈ 7.5

The standard deviation for this set of test scores is approximately 7.5.

Learn more about Z-score: https://brainly.com/question/25638875

#SPJ11

Bethany uses the equation d=3. 75h to find the distance, d, she travels while walking for h number of hours. What is the constant of proportionality between d and h? show your work

Answers

The constant of proportionality between d and h is 3.75

Any function in which the dependent variable (y) is obtained by multiplying the independent variable (x) by a constant value is called the direct proportionality function. This function is also expressed in the form  [tex]( y = m * x)[/tex] and is more commonly called a linear function.

The value m is a constant and is known as the constant of proportionality or the slope of the line. It represents the inclination of the line to the abscissa axis, that is, the x-axis. If we talk about graphic representation, this linear function is a line with slope m that passes through the origin of coordinates, that is, the point 0 in x and 0 in y, which is the point (0,0).

Bethany finds the distance d with the help of equation d = 3.75*h, she travels this distance while walking for h number of hours.  When we compare it with the direct proportionality function y = m * x, then y is represented by the distance d, x is represented by the number of hours h, and slope m or the constant of proportionality is the number 3.75.

So, the constant of proportionality between d and h is 3.75.

To learn more about the constant of proportionality;

https://brainly.com/question/27598477

#SPJ4

Evaluate the expression (3×2−∣∣∣−5 +12∣∣∣ )+(−3) 2

Answers

Answer:

(3×2−∣∣∣−5 +12∣∣∣ )+(−3) 2 = -3/1 = -3

Step-by-step explanation:

Multiple: 3 * 2 = 6

Absolute value: abs(the result of step No. 1) = abs(6) = 6

Subtract: the result of step No. 2 - 5 = 6 - 5 = 1

Absolute value: abs(12) = 12

Multiple: the result of step No. 3 * the result of step No. 4 = 1 * 12 = 12

Absolute value: abs(the result of step No. 6) = abs(12) = 12

Exponentiation: (-3) ^ 2 = 9

Add: the result of step No. 8 + the result of step No. 9 = -12 + 9 = -3

Also yeah and just trust ig  Hope it helps if it did tell me cause if it fully did

ANSWER THIS QUESTION QUICKLY PLS!
There are 54 phones in an office building.
How many unique connections between two of these phones can be made?

Answers

Answer:

1431

Step-by-step explanation:

The number of unique connections between two phones can be found using the formula for combinations.

Since we want to find the number of ways to choose two phones out of 54 phones, we can use the following formula:

nCk = n! / (k! * (n-k)!)

where n is the total number of phones (54), and k is the number of phones we want to choose (2).

nCk = 54! / (2! * (54-2)!)

= 54! / (2! * 52!)

= (54 * 53) / 2

= 1,431

Therefore, there are 1,431 unique connections that can be made between two phones in the office building.

I swear I hope I did this correctly t-t

Answer: 1431

Step-by-step explanation: i took the quiz

How to apply the inverse of sine so that you can give your final answer of the measure of X in degrees?

Answers

In a right-angle triangle, a sine function of an angle [tex]\theta[/tex] is equal to the opposite side to [tex]\theta[/tex] divided by hypotenuse.

[tex]\text{Sin} \ \theta = \dfrac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

How do you find the inverse of a trig function?

[tex]\text{y = f(x)} \rightarrow \text{x}[/tex] in the domain of f. Trigonometric functions are periodic, therefore each range value is within the limitless domain values (no breaks in between). Since trigonometric functions have no restrictions, there is no inverse.

The inverse sine function (also called arcsine) is the inverse of sine function. Since sine of an angle (sine function) is equal to ratio of opposite side and hypotenuse, thus sine inverse of same ratio will give the measure of the angle. Let’s say [tex]\theta[/tex] is the angle, then:

[tex]\text{Sin} \ \theta = \dfrac{\text{Opposite side to} \ \theta}{\text{Hypotenuse}}[/tex]

[tex]\text{Or} \ \theta = \text{Sin-}1 \ \dfrac{\text{Opposite side to}\ \theta}{\text{Hypotenuse}}[/tex]

Learn more about Sine function at:

brainly.com/question/12015707

Suppose the following estimated regression equation was determined to predict salary based on years of experience. Estimated Salary=21,640.90+2456.42(Years of Experience) What is the estimated salary for an employee with 18 years of experience?

Answers

The estimated salary for an employee with 18 years of experience is $65,856.46.

To find the estimated salary for an employee with 18 years of experience using the given regression equation, follow these steps:

1. Identify the regression equation: Estimated Salary = 21,640.90 + 2456.42 (Years of Experience)


2. Substitute the given years of experience (18 years) into the equation:

Estimated Salary = 21,640.90 + 2456.42(18)


3. Multiply 2456.42 by 18: 2456.42(18) = 44,215.56


4. Add 21,640.90 to the result from step 3: 21,640.90 + 44,215.56 = 65,856.46

The estimated salary for an employee with 18 years of experience is $65,856.46.

To know more about the determination of regression equation visit:

https://brainly.com/question/29280079

#SPJ11

If a penny is tossed four times and comes up heads all four times, the probability of heads on the fifth trial is
a. 0.5
b. 1/32
c. zero
d. larger than the probability of tails

Answers

Each coin toss is an independent event, meaning that the outcome of the previous toss does not affect the outcome of the next toss. Therefore, the probability of getting heads on the fifth toss is still 0.5.

The scenario you've described involves a series of independent events, which means the outcome of one toss does not affect the outcome of the others. In this case, you are interested in the probability of heads on the fifth trial after obtaining heads four times in a row.

Since the outcome of the fifth trial is independent of the previous four, the probability of getting heads on the fifth trial remains unchanged. The probability of obtaining heads or tails when flipping a penny is always 0.5 (or 1/2) for each side, as there are only two possible outcomes.

Therefore, the correct answer is:
a. 0.5

To learn more about probability, click here:

brainly.com/question/30034780

#SPJ11

Pete's yard is 52.7 feet wide. The length is 30.4 feet greater than the width.
What is the perimeter of Pete's yard in feet?

Answers

Answer:166.2 feet^2

Step-by-step explanation:

By assuming that Pete's yard is a rectangle, we can get the perimeter by using an equation that looks like this:

perimeter = l+l+w+w

Where l = length, and w = width.

This is because you are adding the measures of every side together, which is the definition of the value of a perimeter.

Furthermore, to get the area of the figure, you would need to multiply 52.7 by 30.4, which would be 1602.08 feet^2

TIME REMAINING
51:59
On a coordinate plane, 2 triangles are shown. Triangle D E F has points (6, 4), (5, 8) and (1, 2). Triangle R S U has points (negative 2, 4), (negative 3, 0), and (2, negative 2).

Triangle DEF is reflected over the y-axis, and then translated down 4 units and right 3 units. Which congruency statement describes the figures?

ΔDEF ≅ ΔSUR
ΔDEF ≅ ΔSRU
ΔDEF ≅ ΔRSU
ΔDEF ≅ ΔRUS

Answers

Answer:

  (b)  ΔDEF ≅ ΔSRU

Step-by-step explanation:

Given point coordinates D(6, 4), E(5, 8), F(1, 2), you want the congruence statement for ∆DEF, given points R(-2, 4), S(-3, 0), U(2, -2) and the fact that ∆DEF is reflected across the y-axis and translated (3, -4).

Graph

The attached graph plots the given points. It is pretty clear that corresponding vertices are (D, S), (E, R), (F, U).

  ∆DEF ≅ ∆SRU

Transformation

Reflection across the y-axis is described by ...

  (x, y) ⇒ (-x, y)

Translation right 3 and down 4 is described by ...

  (x, y) ⇒ (x +3, y -4)

Taken together, the transformation is ...

  (x, y) ⇒ (-x +3, y -4)

Applied to points D, E, F, we have ...

  D(6, 4) ⇒ D'(-3, 0) . . . . matches S

  E(5, 8) ⇒ E'(-2, 4) . . . . matches R

These two matches are sufficient to tell us that point F will be transformed to point U, and the congruence statement is ...

  ∆DEF ≅ ∆SRU

Answer:

ΔDEF ≅ ΔSRU

Step-by-step explanation:

The answer above is correct.

which pair of points should be used to find the line of best fit for the scatter plot?

*picture*

J and L
J and M
K and L
K and M​

Answers

The pair of points to be used is k and M.

What is line of best fit?

A line of best fit is a straight line which is used to show the relations among non-linear points in a scatter plot. Thus it evenly varies the points on its two sides. This is majorly used when dealing with a cartesian coordinate, or plotted points on a graph.

Considering the given scatter plot, it can be observed that points J, L, M and K on non-linear. Thus the straight line that can be used to as line of best fit is by joining point K and M.

Learn more about the line of best fit at https://brainly.com/question/29421492

#SPJ1

Complete the table shown to the right for the population growth model for a certain
country.
(Round to four decimal places as needed.)

Answers

The population growth rate is given as follows:

k = 0.0213.

How to obtain the population growth rate?

The exponential function modeling the population after t years is given as follows:

P(t) = P(0)e^(kt).

In which:

P(0) is the population in the reference year.k is the growth rate, as a decimal.

Considering the population in 2007, the initial population is given as follows:

P(0) = 46.8.

21 years later, we have that:

P(21) = 73.2.

Hence the rate is obtained as follows:

46.8e^(21k) = 73.2

e^(21k) = 73.2/46.8

21k = ln(73.2/46.8)

k = ln(73.2/46.8)/21

k = 0.0213.

More can be learned about exponential functions at https://brainly.com/question/2456547

#SPJ1

A bell shaped distribution will have approximately 68% of thedata within what number of standard deviations of the main?a. One standard deviationb. Two standard deviationc. Three standard deviatio

Answers

The correct answer is a. One standard deviation.

Question is about a bell-shaped distribution and the percentage of data within a certain number of standard deviations of the mean. A bell-shaped distribution will have approximately 68% of the data within one standard deviation of the mean.

Standard deviation is a statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance. The standard deviation is calculated as the square root of variance by determining each data point's deviation relative to the mean.

So, the correct answer is a. One standard deviation.

To know more about standard deviation

https://brainly.com/question/14004763

#SPJ11

Adriel has $0.60 worth of nickels and dimes. He has a total of 7 nickels and dimes altogether. Determine the number of nickels, ,x, and the number of dimes, ,y, that Adriel has.Adriel has nickels and dimes.

Answers

Adriel has 2 nickels and 5 dimes.

2x + 5y = 60¢

Substitute 5¢ for x (a nickel is 5 cents) and 10¢ for y (a dime is 10 cents).

10¢ + 50¢ = 60¢

60¢ = 60¢ ✓
Final answer:

The question is solved using two linear equations. By analyzing the money value and number of coins, it is determined that Adriel has 2 nickels and 5 dimes.

Explanation:

In this problem, you need to understand that a nickel is worth 0.05 dollars (or 5 cents) and a dime is worth 0.10 dollars (or 10 cents). Adriel has a total of $0.60. Define x as the nickels and y as the dimes. You can set up the following two equations based on the information:

0.05x + 0.10y = 0.60 (This represents the total amount of money Adriel has)x + y = 7 (This represents the total number of nickels and dimes Adriel has)

If we multiply the second equation by 0.05, we get 0.05x + 0.05y = 0.35. Subtract this from the first equation, which gives 0.05y = 0.25 and solving this gives y = 5. Substituting y = 5 into x + y = 7, we get x = 2. Therefore, Adriel has 2 nickels and 5 dimes.

Learn more about Linear Equations here:

https://brainly.com/question/32634451

#SPJ2

How would you write the equation for the graph f(x)=x^2 after it has been shifted to the left 7 and down 4

Answers

Step-by-step explanation:

Shift to the L 7 units    ( x+7)^2

Shift down 4       (x+7)^2    - 4  

Telescoping Series: Given the series n(n - 1) "=2 Part 1 Find a formula for the nth partial sum, Sn that depends only on n. Sn = _________ Part 2 Evaluate the following limit to determine whether the given series converges or diverges. lim Sn _________ Therefore the series _________ to _________. Note: If the series diverges, type 'inf' in the last blank:

Answers

The formula for the nth partial sum of the series n(n-1) is Sn = n(n+1)(2n-1)/6 and the series diverges.

Part 1: The formula for the nth partial sum, Sn, for the series n(n-1), can be found by using the formula for the sum of the first n natural numbers, which is given by Sn = n(n+1)/2. To find the sum of n(n-1), we can rewrite it as n^2 - n and use the formula for the sum of the first n squares, which is given by n(n+1)(2n+1)/6. Therefore, the formula for Sn is Sn = n(n+1)(2n-1)/6.

Part 2: To determine whether the given series converges or diverges, we need to evaluate the limit of Sn as n approaches infinity. Taking the limit of the formula for Sn, we get lim Sn = lim [n(n+1)(2n-1)/6] = lim (2n^3/6) = lim (n^3/3) = inf. Since the limit of Sn is infinity, the series diverges.

In conclusion, the formula for the nth partial sum of the series n(n-1) is Sn = n(n+1)(2n-1)/6 and the series diverges as the limit of Sn approaches infinity. This means that the sum of the series does not converge to a finite value and grows without bound as n increases.

To learn more about Partial sums, visit:

https://brainly.com/question/30339367

#SPJ11

In order to solve a system by substitution, you want to...
*
get opposite coefficients for each variable in each equation.

get opposite coefficients for one set of variables in each equation.

isolate a variable in an equation and then substitute into the other equation.

put the corresponding augmented matrix into RREF (row reduced echelon form).

Answers

In order to solve a system by substitution, you want to isolate a variable in one equation and then substitute it into the other equation.

Given that;

To complete the sentence for solving the system of equation.

Now, We know that;

Once you have substituted the variable, you can solve for the remaining variable(s) and find the solution to the system.

Hence, In order to solve a system by substitution, you want to isolate a variable in one equation and then substitute it into the other equation.

Therefore, Option C is true.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Question 1 of 40 < > - / 1 III View Policies Current Attempt in ProgressDetermine whether each set equipped with the given operations is a vector space. For those that are not vector spaces identify the vector space axioms that fail. The set of all triples of real numbers with the standard vector addition but with scalar multiplication defined by k(x, y, z) = (k+x, k? y, kłz) a. Vis not a vector space, by Axiom 8 fails to hold. b. V is a vector space. c. Vis not a vector space, by Axioms 4 - 7 fail to hold. d. Vis not a vector space, by Axiom 9, 10 fails to hold. e. Vis not a vector space, by Axioms 1, 2, 3 fail to hold. e

Answers

A vector space is a collection of objects, called vectors, that can be added together and multiplied by scalars (usually real numbers or complex numbers) to produce new vectors, while satisfying a set of axioms or rules, such as associativity, commutativity, distributivity, and the existence of a zero vector and additive inverses.

The set of all triples of real numbers with the standard vector addition but with scalar multiplication defined by k(x, y, z) = (k+x, k*y, k*z) is not a vector space. This is because Axiom 8 fails to hold.

Axiom 8 states that 1 * (x, y, z) should equal (x, y, z) for any vector (x, y, z). However, with the given scalar multiplication, 1 * (x, y, z) = (1+x, 1*y, 1*z) = (x+1, y, z), which is not equal to (x, y, z). Therefore, this set does not form a vector space due to the violation of Axiom 8.

To learn more about vector spaces visit : https://brainly.com/question/11383

#SPJ11

Which of the following represent direct variation?

Answers

Answer:

all yes

Step-by-step explanation:

HELP
The table below shows the values of f(x) and g(x) for different values of x. One of the functions is a quadratic function, and the other is an exponential function. Which function is most likely increasing exponentially?


x f(x) g(x)
1 3 3
2 6 9
3 11 27
4 18 81
5 27 243
f(x), because it eventually exceeds g(x)
g(x), because it eventually exceeds f(x)
f(x), because it eventually intersects g(x)
g(x), because it will not intersect f(x)

Answers

The function g(x) increases faster than the function f(x).

We know, the quadratic function f(x) will be

f(x) = ax² + bx + c

At x = 1, f(x) will be 3

So,  a + b + c = 3 ...(1)

and x = 2, f(x) will be 6

4a + 2b + c = 6 ...  (2)

and, x = 3, f(x) will be 11

9a + 3b + c = 11 ...  (3)

On solving equations we get

a = 1, b = 0, and c = 2

So, the quadratic function will be

f(x) = x² + 2

Now, The exponential function g(x) will be given as

g(x) = abˣ

At x = 1, g(x) will be 3

ab = 3 .....(4)

and, x = 2, g(x) will be 9

ab² = 9 ...(5)

From equations 4 and 5 we get

a = 1 and b = 3

So, the exponential function will be

g(x) = [tex]3^x[/tex]

Learn more about function here:

brainly.com/question/5245372

#SPJ1

Using The Chi-Square Distribution Table, find the values for Xict and Right of the following. Part: 0/5 Part 1 of 5 х 5 = (a) When a = 0.01 and n= 31, Ket Light

Answers

When a = 0.01 and n = 31, the Xict value for the Chi-Square Distribution is 53.672.

To find the values for Xict and Right using the Chi-Square Distribution Table, we need to follow these steps:

Step 1: Identify the degrees of freedom (df). In this case, since n=31, the degrees of freedom will be df = n-1 = 31-1 = 30.

Step 2: Identify the significance level (α). In this case, α = 0.01.

Step 3: Locate the row corresponding to the degrees of freedom in the Chi-Square Distribution Table.

Step 4: Locate the column corresponding to the significance level in the Chi-Square Distribution Table.

Step 5: Find the intersection of the row and column identified in steps 3 and 4. This value is your Xict.

For Part 1 of 5 (a), with α = 0.01 and df = 30, using a Chi-Square Distribution Table, you will find the Xict value as 53.672. This means that when a = 0.01 and n = 31, the Xict value for the Chi-Square Distribution is 53.672.

To know more about chi-square distribution visit:

https://brainly.com/question/30764634

#SPJ11

A, B, C and D lie on the circle, centre O.
TA is a tangent to the circle at A.
Angle ABC = 131° and angle ADB = 20°.
Please Find
Angle ADC =
Angle AOC =
Angle BAT=

Answers

The value of angle ADC is 131⁰.

The value of angle AOC is 262⁰.

The value of angle BAT is 21⁰.

What is the value of angle ADC?

The value of angle ADC is calculated as follows;

The value of the angle at center, AOC = 2 ∠CBA (angle at center is twice angle at circumference)

∠AOC = 2 x 131⁰

∠AOC = 262⁰

The value of arc angle ABC = 262⁰ (intersecting chord theorem)

The value of angle ADC is calculated as;

∠ADC = ¹/₂ arc ABC

∠ADC = ¹/₂ x 262⁰

∠ADC = 131⁰

Angle DAB = 180 - (20 + (131 - 20))

∠DAB = 180 - 131 = 49

The value of angle BAT is calculated as;

∠BAT = 90 - (20 + 49)

∠BAT = 21⁰

Learn more about chord angles here: brainly.com/question/23732231

#SPJ1

student has a bucket that consists of the first 20 positive integers. count the number of ways the student can pull 5 integers out of the bucket in increasing order. for example, the student could take out 3, 6, 10, 11, and 18 in that order. however, if they take out 4, 3, 6, 18, and 1, then we do not count this (because it is not increasing).

Answers

The number of ways the student can pull 5 integers out of the bucket in increasing order is 15,504.

To determine this, we can use the combination formula, which calculates the number of ways to choose k objects from a set of n objects, regardless of order. In this case, we want to choose 5 integers out of a set of 20 integers in increasing order, which means we can use the combination formula with repetition: C(n+k-1, k-1).

Substituting in our values, we get: C(20+5-1, 5-1) = C(24, 4) = (24232221)/(4321) = 15,504.

Therefore, there are 15,504 ways for the student to pull 5 integers out of the bucket in increasing order.

It is important to note that the order of the integers matters when counting the number of ways in which they can be chosen. In this case, the integers must be chosen in increasing order, which means we cannot count combinations where the integers are chosen in a different order. For example, choosing 1, 2, 3, 4, and 5 is a valid combination, but choosing 5, 4, 3, 2, and 1 is not, since the integers are not in increasing order.

To learn more about the Combination formula, visit:

https://brainly.com/question/22163039

#SPJ11

A comet travels at an average speed of 266,000 km/h. It takes 7 days for the comet to reach Earth. Find the distance, in km, the comet travelled.

Answers

Answer:

v=d/delta t

d=v×delta t

=266 000km/h×168h

=44,688,000.km

To find the distance the comet traveled, we can use the formula:

distance = speed x time

We know that the speed of the comet is 266,000 km/h, and it takes 7 days for the comet to reach Earth. However, we need to convert the time to hours, since the speed is given in km/h.

There are 24 hours in a day, so:

7 days x 24 hours/day = 168 hours

Now we can plug in the values we have into the formula:

distance = speed x time
distance = 266,000 km/h x 168 hours

Simplifying the right side of the equation, we get:

distance = 44,688,000 km

Therefore, the comet traveled a distance of 44,688,000 km to reach Earth.

At a particular restaurant, each slider has 350 calories and each onion ring has 70 calories. A combination meal with onion rings and sliders is shown to have 1400 total calories and 8 more onion rings than sliders. Graphically solve a system of equations in order to determine the number of sliders in the combination meal, x, and the number of onion rings in the combination meal, y.

please help

Answers

Answer:

y = 8 + x

350x + 70y = 1,400----->5x + y = 20

5x + 8 + x = 20

6x + 8 = 20

6x = 12

x = 2, y = 10

2 sliders, 10 onion rings

Answer two questions about Equations A and B: A. 5x = 3x B. 5 = 3 1 ) How can we get Equation B from Equation A?

Answers

We cannot get Equation B from Equation A as they are fundamentally different.

Equation A, 5x = 3x, is a linear equation with variables on one side and constants on the other side. To solve this equation for x, we can subtract 3x from both sides to get:

5x - 3x = 2x

Therefore, the solution to Equation A is x = 0 or x = any other real number.

On the other hand, Equation B, 5 = 3, is a statement of equality between two constants. There is no variable in this equation to solve for, and it is always false since 5 is not equal to 3.

Thus, there is no way to derive Equation B from Equation A or vice versa.

To know more about   Equations, here

https://brainly.com/question/22688504

#SPJ4

on january 1, 2021, bentley corporation issued $1,000,000 of 10-year, 8% bonds at 105, when the market rate of interest was 7%. the bonds pay interest annually on december 31. the company uses the effective interest method of amortization.

Answers

The effective interest method of amortization is a method used to allocate the cost of a bond over the bond's life, in order to determine the amount of interest expense to be recorded each period.

In the case of Bentley Corporation, since they issued $1,000,000 of 10-year, 8% bonds at 105, this means that they received $1,050,000 in cash from investors.

Since the market rate of interest was 7%, the bonds were sold at a premium, which means that the effective interest rate is less than the stated interest rate of 8%. The effective interest rate is the rate at which the present value of the bond's future cash flows equals the amount of cash received at the time of issuance.

Using the effective interest method of amortization, the premium of $50,000 will be amortized over the life of the bond, reducing the effective interest rate each year. The interest expense recorded on December 31, 2021, the first interest payment date, will be calculated as follows:

$1,050,000 x 7% = $73,500 (effective interest)
$73,500 - $80,000 (stated interest) = -$6,500 (amortization of premium)
$80,000 - $6,500 = $73,500 (interest expense)

The premium of $50,000 will be reduced by $6,500, leaving a balance of $43,500 at the end of the first year. This process will continue each year until the bond matures in 2031.

Know more about amortization here:

https://brainly.com/question/24232991

#SPJ11

The frequency of people compared to the number of monthly text messages sent and received by a class are shown in the histogram.

Answers

Answer: The data is skewed because most text messages are replied to and cause the number to be at least twice what it was originally.

Step-by-step explanation: The data is left-skewed.

Assume that blood pressure readings are normally distributed with a mean of 125 and a standard deviation 4 probability that their mean blood pressure will be less than 127. a) 0.0070 b) 0.6681 c) 0.8245 d) 0.9930

Answers

This value is the same as the value found in the z-table: P(X < 127) = 0.6915 The closest answer to this value is option (b) 0.6681.

We'll use the z-score formula and a standard normal table (z-table) to find the probability.

The given terms are: - Mean (μ) = 125 - Standard deviation (σ) = 4 - Target blood pressure (X) = 127

Step 1: Calculate the z-score using the formula: z = (X - μ) / σ z = (127 - 125) / 4 z = 2 / 4 z = 0.5

Step 2: Use a z-table to find the probability that corresponds to the z-score. In this case, the z-score is 0.5. The value found in the z-table for a z-score of 0.5 is approximately 0.6915.

Step 3: The probability that the mean blood pressure will be less than 127 is the area to the left of the z-score (0.5) in the standard normal distribution.

This value is the same as the value found in the z-table: P(X < 127) = 0.6915 The closest answer to this value is option (b) 0.6681.

Learn more about z-score,

https://brainly.com/question/28000192

#SPJ11

1. What is the surface area of the cylinder?
Apply the formula SA = 2πr² + 2πrh. Use
3.14 for #, and round to the nearest tenth.
4 cm
11 cm
2wi
re
SA

Answers

The surface area of the given cylinder is 200.96 square centimeters.

Given that the radius of the cylinder is 4 cm and the height of the cylinder is also 4 cm,

The surface area of the cylinder can be found using the formula:

SA = 2πr² + 2πrh, where r is the radius of the circular base and h is the height of the cylinder.

Substitute given values into the formula to get:

SA = 2π(4)² + 2π(4)(4)

= 2π(16) + 2π(16)

= 32π + 32π

= 64π

= 64(3.14)

= 200.96

Therefore, the surface area of the cylinder is 200.96 square centimeters.

Learn more about the surface area of the cylinder here:

https://brainly.com/question/27983648

#SPJ1

The complete question is as follows

What is the surface area of the cylinder?

Here, the radius of the cylinder is 4 cm and the height of the cylinder is 4 cm

Apply the formula SA = 2πr² + 2πrh.

Other Questions
g if you need to know the hydroxide ion concentration of an aqueous solution with legal ramifications, which method would be the best method to use to ensure accuracy without any reasonable doubt. A company's flexible budget for 42,000 units of production showed variable overhead costs of $50,400 and fixed overhead costs of $58,000. The company incurred overhead costs of $97,660 while operating at a volume of 34,000 units. The total controllable cost variance is:a. $10,740 favorable.b. $1,140 unfavorable.c. $1,140 favorable.d. $12,740 favorable.e. $10,740 unfavorable. 1) Write a single statement that reads an entire line from stdin. Assign streetAddress with the user input. Ex: If a user enters "1313 Mockingbird Lane", program outputs:You entered: 1313 Mockingbird Lane#include int main(void) {const int ADDRESS_SIZE_LIMIT = 50;char streetAddress[ADDRESS_SIZE_LIMIT];printf("Enter street address: ");/* Your solution goes here */printf("You entered: %s", streetAddress);return 0;} each call option contract brings together a buyer and a writer, also known as the seller. which of the following describes the profit and loss potential of call option writers? limited upside gain and unlimited downside losses limited upside gain and limited downside losses unlimited upside gain and limited downside losses unlimited upside gain and unlimited downside losses Dual-inheritance theory relates to the roles of __________ and __________ in transmitting traits to futuregenerations. use the upper and lower sums to approximate the area of the region using the given number of subintervals (of equal width). (round your answers to three decimal places.) y Information Jobs Political participation Medical treatment1.A lack of access to the items on the above list is most associated with which EnduringIssue?2.3.4.EquityTradeDecolonizationGlobalizationSubmit Answer4) Listen The diagram summarizes the steps of photosynthesis inside chloroplasts. If the chloroplast uses up all the available carbon dioxide, which event will happen first? add the author's third and final claim to complete the chart. HELP ASAPPP!!!!Claim: ___________-Evidence- Only 6 percent of countries allow 16 year olds to vote.questions: 1:Youth voting should be banned around the world. 2:Countries allowing youths to vote a irresponsible.3:Youth's voting are required in a few countries.4:The world isn't ready for young teens to vote. t/f: Malicious software programs referred to as spyware include a variety of threats such as computer viruses, worms, and Trojan horses. I need help on the things in the image Which medication should be used cautiously with Plavix? Crestor Niaspan Vascepa Zetia John Hagan's power-control theory includes six possible familial patterns. The following category is believed to be ____________: husband: a member of command class; wife: not employed True or false a piece of construction equipment (asset class 15.0) was purchased by the jones construction company. the cost basis was $300,000. a. determine the gds and ads depreciation deductions for this property. b. compute the difference in pw of the two sets of depreciation deductions in part (a) if i on december 30 of the current year, chang co. sold a machine to door co. in exchange for a non-interest-bearing note requiring ten annual payments of $10,000. door made the first payment on that same date. the market interest rate for similar notes at date of issuance was 8%. information on present value factors is as follows: period present value of $1 at 8% present value of ordinary annuity of 1$ at 8% 9 0.50 6.25 10 0.46 6.71in its december 31 year-end balance sheet, what amount should chang report as note receivable? technical constraints have been carefully considered when developing a project network. which of the following is true at this point? What are the features that make vibrational motion different from circular motion? Choose all that apply. (a) Vibrational motion is periodic. (b) Vibrational motion repeats itself. (c) During vibrational motion, there is a periodic change in the form of system energy. (d) Vibrational motion has a specific equilibrium point through which the system passes from different directions. which of the following commands is used to verify that a remote host can respond to a network connection? Waynette contracts with Tammy to tutor her for $25 an hour in legal studies. Tammy tutors Waynette and Tammy pays her $25 at the end of the hour. This is known as a _______. What diagnosis ofAnaphylaxis (SOB DDX)