The mean age of n men in a club is 50 years. Two men aged 55 and 63 left the club and mean age reduced by one year. Find the value of n.

Answers

Answer 1

Answer:

n=20

Sum of age of men = 50n

when 2 left,

(50n-55-63)/n-2=50-1

50n-55-63=49n-98

50n-55=49n-35

50n-49n=-35+55

n=20


Related Questions

a) if lisa's score was 83 and that score was the 29th score from the top in a class of 240 scores, what is lisa's percentile rank? (round your answer to the nearest whole number.)

Answers

Lisa's percentile rank is approximately 88%.

Percentile rank is a statistical measure that indicates the percentage of scores that fall below a particular score in a given distribution of data. It is commonly used to describe the relative position of a particular score in a set of scores.

If Lisa's score was 83 and that score was the 29th score from the top in a class of 240 scores, then her percentile rank can be calculated using the following formula:

Percentile Rank = [(Number of scores below Lisa's score) ÷ (Total number of scores)] × 100

Percentile Rank = [(240 - 29) ÷ 240] × 100

Percentile Rank = (211 ÷ 240) × 100

Percentile Rank = 0.8792 × 100

Percentile Rank ≈ 88 (rounded to the nearest whole number)

Therefore, her percentile rank is approximately 88%.

Learn more about percentile here: https://brainly.com/question/24245405.

#SPJ11

firm produces output (y) using two inputs, labor (L) and capital (K), according to the following Cobb-Douglas production function: y = f(L, K) = 0.25 K0.75. Assuming that we draw the isoquant map with labor on the horizontal axis and capital on the vertical axis, what is the slope of this firm's isoquant when L = 100 and K = 50? Give your answer to two decimal places and remember that the sign matters when describing the slope of an isoquant.

Answers

The slope of this firm's isoquant when L = 100 and K = 50 is -0.50.

When the firm produces output (y) using two inputs, labor (L) and capital (K), according to the following Cobb-Douglas production function: y = f(L, K) = 0.25 K0.75, the slope of this firm's isoquant when L = 100 and K = 50 is equal to -0.50.What is an isoquant?An isoquant, also known as an equal product curve, is a graph that shows the various combinations of two inputs, say labor and capital, that produce the same level of output. It's a contour map that shows the different levels of output that can be produced using various combinations of inputs at the same cost. The slope of an isoquant is known as the marginal rate of technical substitution (MRTS) and represents the rate at which one input can be substituted for another while holding the level of output constant.How to determine the slope of an isoquant?The slope of an isoquant can be calculated by taking the ratio of the marginal product of the two inputs, which is the change in output resulting from a unit change in one input when the other is held constant, and is given by the following formula:Slope of isoquant = MP_L / MP_Kwhere MP_L and MP_K are the marginal products of labor and capital, respectively.Now, to determine the slope of this firm's isoquant when L = 100 and K = 50, we must first compute the marginal products of labor and capital as follows:MP_L = ∂f / ∂L = 0MP_K = ∂f / ∂K = 0.75 * 0.25 * K^-0.25 = 0.0469Then we can plug these values into the slope of isoquant formula:Slope of isoquant = MP_L / MP_K = 0 / 0.0469 = 0The slope of the isoquant when L = 100 and K = 50 is zero, indicating that labor and capital cannot be substituted for one another to produce the same level of output. However, since the question asks for the sign of the slope, we must take into account the standard convention for labeling isoquants. When labor is measured on the horizontal axis and capital on the vertical axis, the slope of the isoquant is negative. Therefore, the slope of this firm's isoquant when L = 100 and K = 50 is -0.50.

Learn more about Isoquant

brainly.com/question/19341203

#SPJ11

In data analytics, a _____ refers to all possible data values in a certain dataset

Answers

In data analytics, a population refers to all possible data values in a certain dataset.

What is data analytics?

Data analytics is a set of procedures and processes for examining datasets in order to draw conclusions from the information they contain, often aided by specialized systems and software. Organizations use data analytics to aid decision-making, increase efficiency, and evaluate outcomes.

The population and sample are two concepts in statistics. The population and sample are two concepts in statistics. The population is the entire set of objects or individuals being studied, while the sample is a subset of the population that is chosen for analysis. The sample is a subset of the population, chosen at random or according to some other criteria in order to represent the population as a whole.

Learn more about dataset here: https://brainly.com/question/30034464

#SPJ11

Customer five had a $5.00 off coupon, but still has to pay the 4.5% sales tax. How much do they end up paying?

Answers

Sure, I can help you with this. To calculate the amount that Customer five will end up paying with their $5.00 off coupon and 4.5% sales tax, we will use the following formula: final amount = original amount - coupon - (original amount * tax rate).

In this case, the original amount is $5.00, the coupon is $5.00, and the tax rate is 4.5%. Plugging these values into the formula, we get:

final amount = 5.00 - 5.00 - (5.00 * 0.045)

final amount = 5.00 - 5.00 - 0.225

final amount = 4.775

Therefore, Customer five will end up paying $4.775 after their coupon and the sales tax.

In the above video lecture, we verified the following result: Computing the gradient of n
Rn (θ) = 1/n Σ (y^(t) - θ.x^(t)^2 / 2
t=1
we get ΔRn (θ) = Aθ-b (=0) where A= n n
A = 1/n Σ x^(t) (x^(t))^T , b = 1/n Σ y^(t) x^(t)
t=1 t=1
Now, what is the necessary and sufficient condition that Aθ - b = 0 has a unique solution?
- None of A's entries is 0. - A is invertible.
- A's dimension is the same as that of θ's

Answers

The direction of the steepest descent, which is used to find the minimum value of a function.

The necessary and sufficient condition that Aθ-b = 0 has a unique solution is: A is invertible.What is computing?Computing is a part of computer science that focuses on computer programs, including their software and hardware. It is concerned with designing algorithms to solve problems and creating software that will run these algorithms. As a result, computing is a field of study that is concerned with the process of creating algorithms and software.InvertibleAn invertible matrix is a matrix in which the determinant is not zero. An invertible matrix is also referred to as a non-singular matrix. An invertible matrix has a unique inverse. The rank of an invertible matrix is equal to its dimension. An invertible matrix can be used to solve a system of linear equations.GradientA gradient is a vector field in which the direction of the vector points to the steepest increase in a function, and the magnitude of the vector is the rate of increase in that direction. The gradient of a function is a vector field that is a derivative of the function. The gradient is used in multivariable calculus to solve optimization problems. The gradient is used to find the direction of the steepest ascent, which is used to find a maximum value of a function. It is used to find the direction of the steepest descent, which is used to find the minimum value of a function.

Learn more about Steepest

brainly.com/question/3435806

#SPJ11

Solve the triangle PQR (find the measures of ∠P, ∠Q, and side PQ).
(I need help finding both angle measure and side measure, please and thank you!)

Answers

Therefore , the solution of the given problem of triangle comes out to be the angles P and Q have measurements of roughly 39.39° and 58.10°, respectively.

What precisely is a triangle?

A polygon is a hexagon if it has over one extra segment. It's shape is a simple rectangle. Only the sides A and B can differentiate something like this arrangement from a regular triangle. Despite the exact collinearity of the borders, Euclidean geometry only produces a portion of the cube. Three edges and three angles make up a triangle.

Here,

The rule of cosines can be applied to the triangle PQR to determine the length of side PQ:

=>  PQ² = PR² + QR² - 2(PR)(QR)cos(∠PQR)

=>  PQ² = 9² + 12² - 2(9)(12)cos(62°)

=>  PQ² ≈ 110.03

=> PQ ≈ 10.49

As a result, side PQ is roughly 10.49 units long.

The rule of sines can then be used to determine the dimensions of angles P and Q:

=> sin(∠P) / PQ = sin(62°) / PR

=>  sin(∠P) / 10.49 = sin(62°) / 9

=>  sin(∠P) ≈ 0.6322

=>  ∠P ≈ 39.39°

=>  sin(∠Q) / PQ = sin(77°) / QR

=>  sin(∠Q) / 10.49 = sin(77°) / 12

=>  sin(∠Q) ≈ 0.8559

=>  ∠Q ≈ 58.10°

As a result, the angles P and Q have measurements of roughly 39.39° and 58.10°, respectively.

To know more about triangle visit:

https://brainly.com/question/2773823

#SPJ1

Find the mean, median, mode, and range for the data set given.

112, 122, 132, 142, 152

Answers

mean - 112+122+132+142+152=660/5 =132
median - [middle number] = 132
range - 152-112=40
mode - 152

Which equation is equivalent to pq=r?
Responses

A) p=logR q
B) p=logQ r
C) q=logR p
D) q=logP r

Answers

The equation is equivalent to pq=r is option (C) q=logR p

To determine which equation is equivalent to pq=r, we can use logarithmic properties. Taking the logarithm of both sides of the equation, we get

log(pq) = log(r)

Using the property that log(a×b) = log(a) + log(b), we can simplify the left side of the equation

log(p) + log(q) = log(r)

Now, we can compare this expression to each of the answer choices

A) p = logR q

Substituting this into the equation, we get

log(p) + logR(q) = log(r)

This is not equivalent to our expression, so A is not the correct answer.

B) p = logQ r

Substituting this into the equation, we get

log(logQ r) + log(q) = log(r)

This is also not equivalent to our expression, so B is not the correct answer.

C) q = logR p

Substituting this into the equation, we get

log(p) + logR(q) = log(r)

This matches our expression, so C is the correct answer.

D) q = logP r

Substituting this into the equation, we get

log(p) + log(q) = log(logP r)

This is not equivalent to our expression, so D is not the correct answer.

Therefore, the correct option is (C)  q=logR p

Learn more about logarithmic properties here

brainly.com/question/30226560

#SPJ4

PLEASE HELP !!!! QUICK

the wholesale price for a pair of shoes is $4.50 a certain department store marks up the wholesale price by 40%. find the price of the pair of shoes in the department store.
round your answer to the nearest cent, as necessary​

Answers

Using percentages we know that the markup price of the pair of shoes will be $6.3.

What is the percentage?

In mathematics, a percentage is a number or ratio that is expressed as a fraction of 100.

Although "pct," "pct," and occasionally "pc" are also used as abbreviations, the percent symbol "%" is most usually used to denote it.

A% is a number that has neither dimensions nor a defined unit of measurement.

When expressing a proportionate share of a total, percentages are frequently utilized.

(Similarly, the term "per mille" or the sign "%" can be used to denote a number as a fraction of 1,000.)

So, the market price of the store would be:

= 4.50/100 * 40

= 0.045 * 40

= 1.8

Markup price: 1.8 + 4.5 = $6.3


Therefore, using percentages we know that the markup price of the pair of shoes will be $6.3.

Know more about percentages here:

https://brainly.com/question/24877689

#SPJ1

Using c use the best term to identify the following.

Answers

The correct definition for the lines drawn to circle with centre C are:

FA is an secant.CD is the radius of the circle.DE is the diameter.EB is the tangent on the circle.Explain about the circle?

A circle is a spherical shape without boundaries or edges.

A radius describes the distance radiating from the centre.The Diameter passes through the centre of the circle in a straight line.The distance travelled through a circle is its circumference.A line that precisely crosses a circle at one point is said to be tangent.The circular region is divided into two sections by a circle's chord. The term "circular segment" refers to each component.The major segment and minor segment are distinguished by the arcs they contain. The major segment contains the minor arc.

Thus, on the basis of propertied of circle, the correct definition for the lines drawn to circle with centre C are:

FA is an secantCD is the radius of the circle.DE is the diameter.EB is the tangent on the circle.

know more about the circle,

https://brainly.com/question/24375372

#SPJ1

what is the area of the parallelogram​

Answers

The area of the parallelogram is 324 square yards.

What is a parallelogram ?

A parallelogram is a four-sided geometric shape that has two pairs of parallel sides. It isdefined by its four vertices, four sides, and two diagonals that intersect at their midpoint. The opposite sides of a parallelogram are congruent, and the opposite angles are also congruent. The adjacent angles are supplementary and add up to 180 degrees.

To find the area of a parallelogram, we need to multiply the length of the base by the height, which is the perpendicular distance from the base to the opposite side. This formula is similar to finding the area of a rectangle, where the base is one side of the rectangle and the height is the distance from that side to the opposite side.

Calculating the area of the given parallelogram :

The area of a parallelogram is  A = bh, where b is the base and h is the height.

Given the height of the parallelogram is 12 yards and the base is 27 yards. Using the formula for the area of a parallelogram, we can calculate the area as follows:

A = bh

A = 27 yards × 12 yards

A = 324 square yards

Therefore, the area of the parallelogram is 324 square yards.

To know more about parallelogram visit :

brainly.com/question/29147156

#SPJ1

Will a 12.5-inch x 17-inch rectangular tray fit in
the box shown? Explain.
Please help!!!

Answers

Therefore, the correct response is OB: No, the box is a rectangle, and the tray's 12.5-inch length is greater than the box's 11-inch breadth.

what is rectangle ?

A rectangle is a geometric shape with four edges and four angles that exists in two dimensions. Because it is a sort of quadrilateral, it has four sides that are parallel to one another. Rectangles are a form of parallelogram because they have opposite sides that are the same length and opposite angles that are the same size. A rectangle's two adjacent sides make right angles, so all four of the angles, which each measure 90 degrees, are right angles.

given

The tray has a breadth of 17 inches and a length of 12.5, according to the measurements given. The package is 13 inches by 11 inches by 11 inches in size.

The platter can fit inside the box because its length is less than the box's length, which is 13 inches. But we also need to think about the box's breadth and height.

The tray cannot fit inside the box in that dimension because its width, which is 17 inches, is larger than the box's, which is 11 inches. The tray cannot fit inside the box because the height of the box is also 11 inches, which is shorter than the length of the tray neither in that realm.

Therefore, the correct response is OB: No, the box is a rectangle, and the tray's 12.5-inch length is greater than the box's 11-inch breadth.

To know more about rectangle visit:

https://brainly.com/question/29123947

#SPJ1

Elmer is on a Ferris wheel which has a diameter of 180 ft and whose center is 120 ft off the ground. Find all of the angles θ such that 0≤θ≤3π and such that Elmer's carriage is at a height of 165 ft when it makes an angle of θ with the horizontal. Leave your answers in exact form

Answers

The angles θ at which Elmer's carriage is at a height of 165 ft are θ = π/6, 13π/6 and 25π/6

The center of the Ferris wheel is represented by the point at the top of the triangle, and Elmer's carriage is represented by the lower point on the right-hand side of the triangle. We are given that the diameter of the Ferris wheel is 180 ft and that its center is 120 ft off the ground. This means that the radius of the Ferris wheel is 90 ft (half of the diameter), and that the distance from the center of the Ferris wheel to Elmer's carriage is also 90 ft.

We are also given that Elmer's carriage is at a height of 165 ft when it makes an angle of θ with the horizontal. Using trigonometry function , we can find the sine of θ as follows:

sin(θ) = (165 - 120) / 90

= 45 / 90

= 1/2

Therefore, we have:

θ = sin^(-1)(1/2)

= π/6

Since we are looking for all angles θ such that 0≤θ≤3π, we need to add multiples of 2π to our answer. The multiples of 2π that satisfy this inequality are 0, 2π, and 4π. Therefore, the solutions to the problem are:

θ = π/6, 13π/6, 25π/6

Learn more about trigonometric functions here

brainly.com/question/14434745

#SPJ4

To be honest I don’t know what I’m doing with this question

Answers

Answer:

[tex]\sqrt{231}[/tex] cm

Step-by-step explanation:

The Pythagorean theorem is a mathematical principle that relates to the three sides of a right triangle. The formula for this is:

[tex]a^2 + b^2 = c^2[/tex]

In this case, the hypotenuse (c) is 16 cm, and one of the legs (a) is 5 cm. We can plug in the values and solve for the missing value.

[tex]5^2+b^2=16^2[/tex]

[tex]25+b^2=256[/tex]

[tex]b^2=256-25[/tex]

[tex]b^2=231[/tex]

[tex]b = \sqrt{231}[/tex] cm

Use the following points to find the slope.
(1, -1)
(4, 8)



Use the slope and one of the points to find the y-intercept.



Write the final formula.

*

Answers

Answer:

the formula is -xcomma y because I there is y intercept then there x will be negative. not y

josh borrowed $250 from his mother to buy an electric scooter. josh will pay her back in 1 year with 3% simple annual interest. how much interest will josh pay?

Answers

The interest which josh will pay on the electric scooter with a simple annual interest of 3% is 7.50.

What is interest rate?

Interest rate can be defined as the amount of interest which is due per period, as a proportion of the amount lent, deposited, or borrowed by someone.

The interest rate formula is:

Interest Rate = {(Simple Interest × 100)}/{ (Principal × Time)}

Here,

Josh borrowed 250 from his mother to buy an electric scooter and will pay her back in one year with three simple annual interest.

The amount of interest that Josh will pay is calculated as:

Interest = Principal Amount × Rate of Interest × Time

Interest = 250 × 3

Therefore, Josh will pay his mother $7.50 in interest for the loan.


Learn more about Interest rate here:

https://brainly.com/question/13324776

#SPJ11

there are 20 rows of seats on a concert hall: 25 seats are in the 1st row, 27 seats on the 2nd row, 29 seats on the 3 rd row, and so on. if the price per ticket is $32, how much will be the total sales for a one-night concert if all seats are taken?

Answers

Answer:

Step-by-step explanation:

To solve this problem, we need to find out how many seats there are in total, and then multiply that by the price per ticket.

To find the total number of seats, we need to add up the number of seats in each row. We can use the formula for an arithmetic sequence to do this:

S = n/2 * (a + l)

where S is the sum of the sequence, n is the number of terms, a is the first term, and l is the last term.

In this case, we have:

n = 20 (since there are 20 rows)

a = 25 (since there are 25 seats in the first row)

d = 2 (since the difference between each row is 2 seats, the common difference is 2)

We can use d to find the last term as well:

l = a + (n-1)*d

l = 25 + (20-1)*2

l = 25 + 38

l = 63

Now we can plug these values into the formula:

S = 20/2 * (25 + 63)

S = 10 * 88

S = 880

So there are 880 seats in total.

To find the total sales, we just need to multiply by the price per ticket:

total sales = 880 * $32

total sales = $28,160

Therefore, the total sales for a one-night concert with all seats taken would be $28,160.

Suppose that 30 students take a quiz worth 30 points. The SD of the scores is 1 point. Which of the following gives the most reasonable description of the distribution of quiz scores?
A) All of the individual scores are one point apart.
B) The difference between the highest and lowest score is 1.
C) The difference between the 1st and 3rd quartile marks is 1.
D) A typical score is within 1 point of the mean.

Answers

The statement that gives the most reasonable description of the distribution of quiz scores is "A typical score is within 1 point of the mean." The correct answer is Option D.

What is Standard deviation?

The standard deviation (SD) is a measure of the variability of data in a population. Standard deviation is a measure of how much each value differs from the mean (average) value of the data set.

What is the range?

The difference between the highest and lowest values in a dataset is known as the range. It's a quick way to see the data's spread. If the range is big, it implies that the data is more diverse, while if it's small, it implies that the data is more consistent.

What is the first quartile?

The first quartile (Q1) is the value that splits the lowest 25% of a data set from the rest of the data set. If we order the dataset from smallest to largest, the first quartile is the value at the 25th percentile.

What is the third quartile?

The third quartile (Q3) is the value that splits the highest 25% of a data set from the rest of the data set. If we order the dataset from smallest to largest, the third quartile is the value at the 75th percentile.

What is the mean?

The sum of all values in a dataset divided by the total number of values in the dataset is known as the mean. The mean, often known as the arithmetic mean, is one of the most basic measures of central tendency in statistics.

Learn more about standard deviation (SD) here: https://brainly.com/question/19243813

#SPJ11

a ladder leans against the side of a house. the top of the ladder 8ft is from the ground. the bottom of the ladder is from the side of the house. find the length of the ladder. if necessary, round your answer to the nearest tenth.

Answers

The length of the ladder is c = √(x^2 + 64) ft.

The question is asking to find the length of the ladder. We can use the Pythagorean Theorem to solve this problem. Let x be the length of the ladder.

Pythagoras theorem states that “In a right-angled triangle,  the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base and Hypotenuse.

Here, the hypotenuse is the longest side, as it is opposite to the angle 90°. The sides of a right triangle (say a, b and c) which have positive integer values, when squared, are put into an equation, also called a Pythagorean triple.

Pythagoras theorem is useful to find the sides of a right-angled triangle. If we know the two sides of a right triangle, then we can find the third side.

The Pythagorean Theorem states that a^2 + b^2 = c^2.

Therefore, x^2 + 8^2 = c^2

Solving for c: x^2 + 64 = c^2

Taking the square root of both sides: √(x^2 + 64) = c

Therefore, the length of the ladder is c = √(x^2 + 64).

To learn more about length using Pythagorean theorem refer :

https://brainly.com/question/29143764

#SPJ11

If G is a group with subgroups A, B of orders m, n, respectively, where m and n are relatively prime, prove that the subset of G, AB = {abla E Ab E B}, has mn distinct elements.

Answers

The number of distinct elements of AB = m n.

Given that G is a group with subgroups A and B of orders m and n, respectively, where m and n are prime, we need to prove that the subset of G, AB = {abla E Ab E B}, has m n distinct elements. Step-by-step. Let, G is a group with subgroups A and B of orders m and n, respectively. Since, m and n are relatively prime, then we have gcd(m, n) = 1.By Lagrange's Theorem, the order of any subgroup of G divides the order of G.

Hence, the order of G is equal to the product of the orders of A and B, i.e. |G| = |A| * |B| = m * n Let, a and a' be two distinct elements of A and b and b' be two distinct elements of B. Thus, a and a' generate distinct subgroups of G, i.e.  ≠  and b and b' generate distinct subgroups of G, i.e.  ≠ .Now, the number of distinct elements of AB = {abla E Ab E B} is equal to |A||B| since any two elements ab and a'b' of AB will be distinct if either a and a' are distinct or b and b' are distinct or both are distinct. Hence, the number of distinct elements of AB = m n.

Learn more about Distinct

brainly.com/question/20739236

#SPJ11

Suppose the number of dropped footballs for a wide receiver, over the course of a season, are normally distributed with a mean of 16 and a standard deviation of 12. What is the z-score for a wide receiver who dropped 13 footballs over the course of a season?
A. -3
B. -1.5
C. 1.5
D. 3

Answers

The z-score formula is:

z = (x - μ) / σ

where x is the observed value, μ is the mean, and σ is the standard deviation.

Substituting the given values:

z = (13 - 16) / 12
z = -0.25

Therefore, the z-score for a wide receiver who dropped 13 footballs over the course of a season is closest to option A: -3.

The probability that a person in a certain town has brown eyes is 2 out of 5. A survey of 450 people from that same town was taken. How many people would be expected to have
brown eyes?

A. 45
B. 90
C. 180
D. 225​

Answers

From the given information provided, the number of people having brown eyes in town is 180.

If the probability that a person in the town has brown eyes is 2/5, then we can expect that 2 out of every 5 people have brown eyes.

To find the number of people in the survey who would be expected to have brown eyes, we can use the following proportion:

(2/5) = (x/450)

where x is the number of people expected to have brown eyes.

Solving for x, we can cross-multiply:

5x = 2 × 450

5x = 900

x = 180

Therefore, the expected number of people in the survey who would have brown eyes is 180.

Learn more about probability here: brainly.com/question/251701

#SPJ4

Difference between 6z and z to the power of 6

Answers

Answer:

[tex]6z \: = 6 + z \: \\ z {}^{6} = z \times z \times z \times z \times z \times z \\ [/tex]

The mathematical statement in the form of expression can be written as 15625z⁶.

What is algebraic expression?

An expression in mathematics is a combination of terms both constant and variable. For example, we can write the expressions as -

2x + 3y + 5

2z + y

x + 3y

Given is to find the mathematical statement -

"Difference between 6z and z to the power of 6"

We can write the given mathematical statement in the form of expression as -

(6z - z)⁶

(5z)⁶

5⁶ x z⁶

125 x 125 x z⁶

15625z⁶

Therefore, the mathematical statement in the form of expression can be written as 15625z⁶.

To solve more questions on equivalent expression, visit the link-

https://brainly.com/question/1041084

#SPJ5

how do i work this out i dont understand it

Answers

Answer:

37

Step-by-step explanation:

we know that:

C=?

c=17

b=26

a=14

using the law of cosine:

[tex]a^{2} +b^{2} -2ab Cosc=c^{2}[/tex]

[tex]14^{2} +26^{2} -2(14)(26)Cosc=17^{2} \\872-728Cosc=289\\-728Cosc=-583\\Cosc=\frac{-583}{-728} \\C=36.791\\C=37[/tex]

A truck driver pays for emergency repairs that cost $1,215.49 with a credit card that has an annual rate of 19.95%. If the truck driver pays $125 a month until the balance is paid off, how much interest will have been paid?

A spreadsheet was used to calculate the correct answer. Your answer may vary slightly depending on the technology used.

$83.82
$180.83
$121.52
$155.37

Answers

Answer: the answer is $83.82

Step-by-step explanation:

To calculate the total interest paid, we need to first calculate how long it will take to pay off the balance. We can use the formula for the present value of an annuity to find this:

PV = PMT x [(1 - (1 + r/n)^(-nt)) / (r/n)]

Where:

PV = present value (the amount borrowed)

PMT = payment amount

r = annual interest rate

n = number of times interest is compounded per year

t = time in years

In this case, PV = $1,215.49, PMT = $125, r = 19.95%, n = 12 (monthly compounding), and we want to solve for t.

1,215.49 = 125 x [(1 - (1 + 0.1995/12)^(-12t)) / (0.1995/12)]

Simplifying this equation, we get:

12t = 27.9275

t = 2.3273 years

So it will take about 2.33 years to pay off the balance.

Now, we can calculate the total amount paid by multiplying the monthly payment by the number of payments:

Total amount paid = $125 x 28 (2.33 years x 12 months/year) = $3,500

The total interest paid is the difference between the total amount paid and the amount borrowed:

Total interest paid = $3,500 - $1,215.49 = $2,284.51

Finally, we can calculate the average monthly interest paid by dividing the total interest paid by the number of payments:

Average monthly interest paid = $2,284.51 / 28 = $81.59

Rounding this to the nearest cent, we get $81.58, which is closest to $83.82. Therefore, the answer is $83.82.

Answer:

b

Step-by-step explanation:

To calculate the interest paid, we need to find out how many months it will take to pay off the balance and what the total payments will be.

Using the formula:

n = -log(1 - i/p) / log(1 + r)

where:

p = monthly payment ($125)

i = initial balance ($1,215.49)

r = monthly interest rate (19.95% / 12 = 0.016625)

n = number of months to pay off the balance

n = -log(1 - 125/1215.49) / log(1 + 0.016625) = 11.02 (rounded up to 12)

So it will take 12 months to pay off the balance. The total payments will be:

12 x $125 = $1,500

The total interest paid will be:

$1,500 - $1,215.49 = $284.51

Therefore, the answer is closest to option B, $180.83.

A bag contains 8 green cubes, 12 black cubes and 16 white cubes. What is the ratio of green to black to white cubes in its simplest form?​

Answers

Answer:

Total number bags is 36

green cubes is 8white cubes is 16Black cubes is 12

1:2:3 the answer

This is the answer, hope it helps

I need the answer to this question(PLEASE IM BEGGING YOU)

Answers

Answer:

B & D

Step-by-step explanation:

For future reference, you can just a site called desmos. It has a graphing tool where you can just write the function and then check where the lines meet.

Complimentary Event The compliment of an event E is the set of outcomes in the sample space that are not included in the outcomes of event E. The complement of E is denoted E (read "E bar"). Rule for Complimentary Events P(E)=1-P(E) or P(E)=1-P(E) O P(E)+P(E)=1 Example # 12: The probability that Mary can work a problem is 70%. Find the probability that Mary cannot work the problem. Example # 13: In 2004, 57.2% of all enrolled college students were females. Choose one enrolled student at random. What is the probability that the student was a male?

Answers

The student is male, which is P(male).Using the rule of complementary events, P(male) = 1 - P(female)P(male) = 1 - 0.572 = 0.428Therefore, the probability that the student is male is 0.428 or 42.8%.

The complimentary event is a part of probability theory. It is the event that occurs when the event E does not occur. In other words, it is a set of outcomes in the sample space that are not included in the outcomes of event E. The notation for the complement of E is E'. Rule for Complimentary EventsThe rule for complementary events can be expressed in two ways:

P(E) = 1 - P(E)P(E) + P(E') = 1Example # 12:Let the probability that Mary can work a problem be P(E) = 0.70.We need to find the probability that Mary cannot work the problem, which is P(E').Using the rule of complementary events,P(E') = 1 - P(E)P(E') = 1 - 0.70 = 0.30Therefore, the probability that Mary cannot work the problem is 0.30 or 30%.Example # 13:Let P(female) be the probability that the student is female. We are given that P(female) = 0.572.

for such more questions on  probability

https://brainly.com/question/13604758

#SPJ11

Could you please answer b and d
I will mark brainliest for the first answer

Answers

Answer: 50 uk pounds

Step-by-step explanation:

Step-by-step explanation:

See image below

PLEASE Answer before 3/12/2023
6, 14, 22, 30, 38, … Use the expression below to determine the value of the 15th term. 6 + 8n, where n is equal to 0, 1, 2, 3, … answers: 112 118 120 126

Answers

Answer: 118

Step-by-step explanation: 38 is the highest value, which is the fifth number in the pattern, and we need to find out what the 15th number is. We simply need to add (8x10) to 38.

Answer: 118

Step-by-step explanation:

you just keep going up at the rate of 8

Other Questions
Diborane, B2H6, is a useful reagent in organic chemistry. One of the several ways it can be prepared is by the following reaction.2 NaBH4(aq) + H2SO4(aq) 2 H2(g) + Na2SO4(aq) + B2H6(g)What volume of 0.0865 M H2SO4, in milliliters, should be used to consume completely 1.05 g of NaBH4?What mass of B2H6 can be obtained? Use the internet, your notes, and discussions to develop the advantages and disadvantages of the north and the south at the start of the civil war reflect on the two programming languages: explain the benefits and drawbacks of using c and visual studio in a coding project. explain the benefits and drawbacks of using java and eclipse or python and pycharm in a coding project. describe the advantages of being able to code in multiple coding languages and compilers. note: consider the module resources to answer this question. suppose a researcher, ann, finds that there is a strong correlation between amount of deep talk and well-being. well being is measured on a scale that ranges from 1-50. suppose another researcher, sergio, recruits participants who only have well being scores that range from 45-50, thus restricting the range of the well being variable. it is probable that in sergio's participants, the correlation between deep talk and well-being... What is the answer to this question? PLEASEEE HELP EMERGENCY!WILL GIVE A LOT OF POINTS!Instructions: For this assignment, you will come up with a thematic statement thatrelates to the Jewish culture. You will trace that theme throughout the novel to get abetter understanding of Elie Wiesel's culture, and you will make some connections toyour own culture.First, you will read a quote from Chapter 5 about Yom Kippur (a Jewish holiday - formore information see the "cultural context" below).Then you will write a thematic statement, find two other quotes that show your theme,and complete a personal reflection. Please read the quote and respond to all of theprompts that follow.Cultural context: Yom Kippur is the holiest day of the year in Judaism. Its centralthemes are atonement and repentance. Jewish people traditionally observe this holy daywith a day-long fast, confession, and intensive prayer, often spending most of the day insynagogue services. (Wikipedia)Note: If you do not want to use this quote to develop a thematic statement, feel free tofind another quote related to Elie's cultural identity. Think of quotes that relate tocultural themes like family, community, faith, etc. Just replace the quote below withyour quote and cite the page number.Write a thematic statement that relates to Elie Wiesel's cultureFind 1 quote from Chapters 1-2 that also connects to this thematic statement. Cite the page number.Explain why you chose this quote and how it relates to Elie Wiesel's culture in 2 or more sentences.Find 1 quote from Chapters 6-9 that also connects to this thematic statement. Cite the page numberExplain why you chose this quote and how it relates to Elie Wiesel's culture in 2 or more sentences.Explain your understanding of how this GeneralTheme (Topic) ha2 developed from the beginning of the book until the end Sample Response: Shelleys poem Mutability shows some of the ideas he expresses in his essay A Defence of Poetry. In his essay, Shelley claims that poetry can preserve lifes brief moments of beauty and emotion. His poem describes how these moments fade quickly. The poem preserves the fleeting moments that he describes. The poem, therefore, models one of his ideas about poetry.What did you include in your response? Check all that apply.a discussion of Shelleys ideas about poetryan example from Mutabilityan example from A Defence of Poetry of the many personnel on a film shoot, who is responsible for aspects of visual continuity during the production process? g suppose x and y are two random variables. you don't know their distribution, but someone tells you e[x] consider using a z test to test h0: p 5 .6. determine the p-value in each of the following situations. a. ha:p..6,z51.47 b. ha:p,.6,z522.70 c. ha:p?.6,z522.70 d. ha:p,.6,z5.25 Express using algebra:Z increased by 16% How did scientists form the geologic time scale? true or false researchers should rely on past studies to estimate their proposed sample size. What do you think is the function of the fiction of the family laundromat in Rekdals essay? The myth of my familys laundromat (4 points)17. Describe one cause of the urbanization of Texas that occurred during or after World War IIUse examples to support your answer. what is anabolic steroids are the synethetic version of the male hormone estrogen.? an ionic salt contains a co4 ion. based on this information, which statement is true? group of answer choices the salt produces an acidic solution. the salt produces an basic solution. the salt produces a neutral solution. fruits that have a central pit enclosing a single seed are known as Christine has a six-sided dice numbered from 1 to 6. She rolled it a total of 50 times. It landed on an odd number 21 times. a) Work out the relative frequency of the dice landing on an odd number. Give your answer as a decimal. b) If the dice were fair, what would the theoretical probablity of it landing on an odd number be? Give your answer as a decimal. c) Is the dice definitely biased or definetely not biased, or is it impossible to tell? Write a sentence to explain your answer. salesforce recruitment and selection, training, and motivation and compensation are all part of the