of
annum
$20) At what rate percent
simple interest per
will a sum a of,
money earn interest
equal to 3/5 of the
principals is in4years ears?

The measure of angle 2 is 23 degrees.

An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle. It is not necessary for the angle to be in Euclidean space if it lies in the plane. Angles are referred to as dihedral angles if they are created by the intersection of two planes in a space other than Euclidean.

Let the measure of angle 2 be x.

Then the measure of angle 1 = x + 17

The measure of angle ABD = 63.

From the figure we can observe that:

ABD = angle 1 + angle 2

Substitute the values:

63 = x + 17 + x

63 - 17 = 2x

46 = 2x

x = 23

Hence, the measure of angle 2 is 23 degrees.

Learn more about angles here:

https://brainly.com/question/28451077

#SPJ1

Answer:    x/3

Step-by-step explanation:

Say "x" is the number of yards you are given.

remember that one yard = 3 feet.

in order to convert x amount of yards into feet, you must divide x by three.

giving you=  x/3

The amount of money that Jace would have to pay in total if he goes on 5 rides is; $40

The amount of money that Jace would have to pay in total if he goes on r rides is; 5r + 15

The general form of the equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

Now, Since the price of admission into the park is $15, it means that it is the y-intercept. Thus, c = $15

He pays $5 for every ride and as such this will be the slope. Thus;

Total cost = 5x + 15

where x is number of rides

For 5 rides;

Y(5) = 5(5) + 15

= $40

For r rides, the total cost is;

y(r) = 5r + 15

Read more about Algebra word problems at; https://brainly.com/question/21405634

#SPJ1

If we wish to accumulate $3,641 after 6 years at a 5% interest rate, then $2,717.16 must be set aside at the end of each of the 6 periods

The Amount = $3,641

Time = 6 years

Interest Rate = 5% = 0.05

Compounded at the end of each of the 6 periods.

So n = 6 × 6 = 36

Periodic interest rate;

i = r/m

i = 0.05/6

i = 0.00833

Compound Formula

A = P(1 + i)^n

3,641 = P(1 + 0.00833)^36

3,641 = P(1.00833)^36

3,641 = 1.35P

Divide by 1.35 on both side, we get

P = $2,717.16

To learn more about compound interest link is here

brainly.com/question/14295570

#SPJ4

Answer:

First choice

Step-by-step explanation:

The graph appears to show the time and the distance a motorcycle is from a house.

By inspection of the graph we can say that the first two hours the position of the motorcycle steadily moves away from the house. Then for the duration of 1 hour(hour2-hour3) the motorcycle moves closer to the house. Finally the motorcycle's position for an hour does not change meaning that the motorcyle has not moved for the duration of another hour.

So the motorcycle moves away from the house for two hours. Then it moves back towards the house for an hour. Finally it parks for an hour. This corresponds to the first answer choice.

The total price of the pair of pants is 34.32 dollars.

Evelyn went shopping for a new pair of pants. Sales tax where she lives is 4%. The price of the pair of pants is $33. Therefore, the total price of the pants including the sales tax can be calculated as follows:

Therefore,

sales tax in dollars = 4% of 33

sales tax in dollars = 4 / 100 × 33

sales tax in dollars = 132 / 100

sales tax in dollars = 1.32 dollars

Therefore,

total price3 of the pants = 33 + 1.32

total price3 of the pants = 34.32 dollars

learn more on sales tax here: https://brainly.com/question/26897139

#SPJ1

Answer:

a=4, b = 12

Step-by-step explanation:

This is a relatively simple question once you break it down. Make two equations based on the rectangles given:

64 = 4b + 4a

56 = 8a + 2b

64 = 4b + 4a => 64 = 4 (b+a) => 16 = b + a

isolate for a variable (any will do I just chose b)

16 - a = b

56 = 8a + 2b => 56 = 2(4a + b) => 28 = 4a + b

isolate for b then plug in equation

28 - 4a = b

16 - a = 28 - 4a

28 - 16 = -a + 4a

12 = 3a

4 = a

16 - a = b

b = 16 - 4

b = 12

Assuming my math is right, this should be your answer

Answer:

Сильные:

Упорный, нацеленый на результат

Уверен в себе

Трудолюбивый

Общительный

Организованный

Самостоятельный

Дисциплинированный

Слабые:

Излишне стеснительный

Чрезмерно эмоциональный

Раздражительный и даже агрессивный

Не обладающий силой воли

Не умеющий вовремя промолчать

Гиперактивный

Принципиальный

On solving the provided question, we can say that the inequality equation is swim ≥ 100 yards, tread ≥ 5 min and under ≥ 10 yards

An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal sign (). Different inequalities are used to contrast values, no matter how little or large. Many simple inequalities may be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.

the inequality equation is

swim ≥ 100 yards

tread ≥ 5 min

under ≥ 10 yards

swim is not satisfied because lifeguard only swam 250 ft. (83 1/3 yards)

under not satisfied because less than 10 yards.

To know more about inequality visit:

https://brainly.com/question/29914203

#SPJ1

Answer:

x = 3

Step-by-step explanation:

x = -1

7(3^(‐1 - 1)) <= 4^-1

7(3^-2) <= 1/4

7/9 <= 1/4

no, wrong.

x = 2

7(3^(2 ‐ 1)) <= 4²

7(3¹) <= 16

21 <= 16

no, wrong.

x = 3

7(3^(3 - 1)) <= 4³

7(3²) <= 64

7×9 <= 64

63 <= 64 correct

so, 3 is the correct answer.

The sentence written in the passive voice is - The delicious bread is baked by Mr. Jilin

This sentence is written in the passive voice because it follows the passive voice structure of: Object + Past Participle Verb (baked) + by Agent (Mr. Jilin).

In the passive voice, the object of the sentence (delicious bread) is the focus of the sentence, rather than the agent (Mr. Jilin).

Passive voice is a grammatical construction in which the subject of a sentence is not the one performing the action.

Instead, the action is done to the subject. For example, instead of saying "I ate the apple," one might say "The apple was eaten by me."

In passive voice, the subject of the sentence is often omitted and the verb is usually conjugated with a form of "to be" and the past participle of the verb.

This grammatical construction is used to emphasize the object of the action, rather than the subject, and can also be used when the subject is unknown or unimportant.

Passive voice can also be used in scientific and technical writing to create sentences that are clear and concise.

To learn more about passive voice, visit

brainly.com/question/85850

#SPJ1

Answer:

dd osama

Step-by-step explanation:

There are 120 young girls in the survey.

What is the Principle of Inclusion-Exclusion?

The Principle of Inclusion-Exclusion is a combinatorial principle used to find the number of elements in the union of two or more finite sets. It states that the total number of elements in the union of two sets is equal to the sum of the number of elements in each set minus the number of elements in their intersection.

To find the total number of young girls, we can use the Principle of Inclusion-Exclusion. This principle states that if A and B are two events, then the number of elements in the union of A and B is equal to the sum of the number of elements in A and B, minus the number of elements in their intersection.

In this problem, let's call the number of young girls who like sour taste only "A", the number of young girls who like chilly taste only "B", and the number of young girls who like both tastes "C". Then, the total number of young girls is equal to the number of girls in A, plus the number of girls in B, minus the number of girls in C.

Since one fourth of the girls like sour taste only, the number of girls in A is 1/4 of the total number of girls. Similarly, since one third of the girls like chilly taste only, the number of girls in B is 1/3 of the total number of girls. And since 50 of the girls do not like both tastes, the number of girls in C is 50.

So, the total number of young girls is equal to (1/4) * total + (1/3) * total - 50. We can solve for the total by rearranging the equation and using the given information:

total = (50 + (1/4) * total + (1/3) * total) / (1 - (1/4) - (1/3))

total = (50 + 3/12 * total) / (5/12)

total = (50 * 12/5) / (7/5)

total = 120

Therefore, there are 120 young girls in the survey.

To learn more about the Principle of Inclusion-Exclusion, visit:

https://brainly.com/question/27975057

#SPJ1

Answer:

y= -3/5x+9/20

I graphed it to be sure it works. Hope this helped!

Step-by-step explanation:

(x - 4)(3x + 2) is an expression that is equivalent to 3x² - 10x - 8.

A quadratic equation is one in which the variable is squared in just one term and not in any other term where the variable is raised to a power greater than 2.

Lets take the quadratic equation:  3x² - 10x - 8

First we will multiply 3[tex]x^{2}[/tex] and -8, therefore we will get -24[tex]x^{2}[/tex].

Then we will break -10 x in a way that its terms give a product of -24[tex]x^{2}[/tex] when multiplied, i.e.,  -10x = 12x - 2x

Thus, 3x² - 10x - 8 = 3x² + 12x - 2x - 8

                              = 3x(x + 4) -2(x + 4)

                              = (3x - 2)(x + 4)

Hence, (3x - 2)(x + 4) is the correct answer.

To know more about quadratic equation, visit

brainly.com/question/17177510

#SPJ1

Answer: Maybe B

Step-by-step explanation:

Guess from heart.

There probability are 17,576,000 different ways to arrange the 26 letters of the alphabet so that the vowels a, e, I o, and u never appear back-to-back.

There are 21 consonants and 5 vowels (a,e,i,o,u) (all other letters).

The vowels can be arranged in 5! = 120 different ways.

The consonants can be arranged in 21! = 5,109,400,800 different ways.

The product of the two integers is 17,576,000, which is the total number of possible arrangements for all letters.

26 letters make up the alphabet, and 5 of them are vowels (a,e,i,o,u). We must determine how many ways there are to organize the vowels and consonants before we can determine how many ways there are to arrange the letters so that no two vowels appear consecutively.

There are 5! = 120 different ways to order the vowels. This is due to the fact that there are 5 vowels that must be grouped in various ways. Since there are 21 consonants that can be arranged, there are 21! = 5,109,400,800 different combinations that can be made. The product of the two integers is 17,576,000, which is the total number of possible arrangements for all letters.

Learn more about probability here

https://brainly.com/question/11234923

#SPJ4

The equation Monique, Clarence, Jose and Quincy linear graph is y = (-1/2)x, y = (1/2)x, y = 1.5x + 1 and y = -1.5x - 1 respectively

An equation is an expression that shows the relationship between two or more numbers and variables.

The slope intercept form of a line is:

y = mx + b

where m is the slope and b is the y intercept

Monique graph passes through (0, 0) and (2, -1). Hence:

y - 0 = [(-1 - 0)/(2 - 0)](x - 0)

y = (-1/2)x

Clarence graph passes through (0, 0) and (2, 1). Hence:

y - 0 = [(1 - 0)/(2 - 0)](x - 0)

y = (1/2)x

Jose graph passes through (0, 1) and (-2, -2). Hence:

y - 1 = [(-2 - 1)/(-2 - 0)](x - 0)

y = 1.5x + 1

Quincy graph passes through (0, -1) and (-2, 2). Hence:

y - (-1) = [(2 - (-1))/(-2 - 0)](x - 0)

y = -1.5x - 1

The equation Monique graph is y = (-1/2)x

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

False. The weight of a variable in a standardized predictor environment does not necessarily indicate that the variable has a higher discriminating power.

Discriminating power is determined by the correlation of a predictor variable with the outcome variable. We can calculate the correlation between a predictor variable and an outcome variable using Pearson's correlation coefficient, which is represented by the formula:

r = (NΣXY - (ΣX)(ΣY)) / √[(NΣX2 - (ΣX)2)(NΣY2 - (ΣY)2)].

In this formula, N is the sample size, ΣX is the sum of the predictor variable, ΣY is the sum of the outcome variable, ΣXY is the sum of the products of the predictor and outcome variables, and ΣX2 and ΣY2 are the sums of the squares of the predictor and outcome variables, respectively. The Pearson's correlation coefficient ranges from -1 to +1, with +1 indicating perfect positive correlation, 0 indicating no correlation, and -1 indicating perfect negative correlation. A higher correlation coefficient indicates a higher discriminating power.

Therefore, the weight of a variable in a standardized predictor environment does not indicate whether or not the variable has a higher discriminating power; this is determined by the correlation between the predictor and outcome variables.

Learn more about Pearson's correlation here:

https://brainly.com/question/28316863

#SPJ4

For the combination of n = 25 and p = 0.5 it is reasonable to assume that the sampling distribution of the sample proportion p will be approximately normal.

As per the given data:

A random sample is to be selected from a population

Here we have to determine for which combination of n and p is reasonable to assume that the sampling distribution of the sample proportion p will be approximately normal.

For this we have to multiply the value of n and the value of p.

Option (A):

n = 10 and p = 0.4

np = 10 × 0.4

np = 4

Option (B):

n = 25 and p = 0.5

np = 25 × 0.5

np = 12.5

Option (C):

n = 30 and p = 0.2

np = 30 × 0.2

np = 6

Option (D):

n = 40 and p = 0.1

np = 40 × 0.1

np = 4

Option (E):

n = 100 and p = 0.05

np = 100 × 0.05

np = 5

Compare all the combinations of np.

Option (B) is correct because it has the highest value of np.

For more questions on random sample

https://brainly.com/question/14384482

#SPJ4

A random sample is to be selected from a population. For which combination of n and p is it reasonable to assume that the sampling distribution of the sample proportion p will be approximately normal?

(A) n = 10 and p = 0.4

(B) n = 25 and p = 0.5

(C) n = 30 and p = 0.2

(D) n = 40 and p = 0.1

(E) n = 100 and p = 0.05

Answer:

Step-by-step explanation:

its 18 ღ

The graph of the inequality, 2x + y ≥ 4, is: option 1.

Given the inequality, 2x + y ≥ 4, rewrite in slope-intercept form:

2x + y ≥ 4

y ≥ -2x + 4

Thus, this means that the slope of the graph will be a declining slope of -2, and it will intercept the y-axis at 4.

Also, since the inequality sign is ≥, the shaded region will be above a solid line.

Option 1 has a slope of -2 and is also a solid line having the shaded part above it.

Therefore, the correct graph is option 1.

Learn more about inequality graph on:

https://brainly.com/question/19251897

#SPJ1

The approximate values for the definite integral of x⁶ over the interval [1, 2].

An integral is a mathematical tool used to calculate the total amount of some quantity that changes continuously over a given interval.

The Trapezoidal rule approximates the definite integral of a function by dividing the interval of integration into a number of smaller subintervals, and then using trapezoids to approximate the area under the curve.

The formula for T6 is:

T6 = (b-a) * (f(a) + f(b)) / 2,

where a and b are the limits of integration, and f(x) is the function being integrated.

However, instead of using trapezoids, the Midpoint rule uses rectangles to approximate the area under the curve.

The formula for M6 is:

M6 = (b-a) * f((a + b) / 2)

To calculate T6 and M6 for the integral (a=1)(b=2)x⁶dx, we need to use the formulas above and plug in the appropriate values for a, b, and f(x). The function f(x) is x⁶, so:

T6 = (2 - 1) x (1⁶ + 2⁶) / 2 = 1 x (1 + 64) / 2 = 32.5

M6 = (2 - 1) x (2⁶)¹/₂ = 1 x (64)¹/₂ = 8

So, T6 = 32.5 and M6 = 8.

To know more about integral here.

https://brainly.com/question/18125359

#SPJ4

Answer:

i think x+15 would be the correct answer

De acuerdo con la información, se puede inferir que la respuesta correcta es la opción C. Solo III, debido a que las otras afirmaciones están erradas.

Para identificar las afirmaciones correctas debemos evaluar cada una de ellas tendiendo en cuenta la información principal. En el caso de la primera afirmación es falsa debido a que 21 monedas representan un cuarto del dinero total entonces habría 84 monedas en total, no 27.

En el caso de la segunda afirmación es falsa debido a que el enunciado dice que hay 12 monedas de 5$ por lo que habría más monedas de las que dice en la opción.

En el caso de la tercera afirmación es verdadera debido a que el dinero total sí equivale a $600 como se muestra a continuación:

12 * $5 = $60

9 * $10 = $90

$90 + $60 = $150

$150 * 4 = $600

Por lo anterior, la afirmación III es verdadera, entonces la opción C sería la única correcta.

Aprenda más sobre monedas en: https://brainly.com/question/25688308

#SPJ1

Hello/Salut

–6g + –g − –14g − –10g + –2g = –15
–7g - –14g - –10g + –2g = –15
7g - –10g + –2g = –15
17g + –2g = –15
15g = –15
g = –1

I hope it was helpful! :]

The area of the rectangle is 36.83 m² and perimeter is 25.42 m

A rectangle is a closed 2-D shape, having 4 sides, 4 corners, and 4 right angles (90°). The opposite sides of a rectangle are equal and parallel.

Given that, you design a tree house using a coordinate plane in which the coordinates are measured in meters. The vertices of the rectangular floor are (0,5), (4,3), (4,13) and (8,11).

We know that, distance between two points is = [tex]\sqrt{(x_{2}-x_{1} )^2+(y_{2} -y_1)^2}[/tex]

Distance between (0,5) and (4,3) = [tex]\sqrt{(4-0)^2+(3-5)^2}[/tex]

= [tex]\sqrt{16+4}[/tex]

= 4.47 m

Distance between (4, 3) and (8, 11) = [tex]\sqrt{(8-4)^2+(11-3)^2}[/tex]

= [tex]\sqrt{4+64}[/tex]

= 8.24 m

Therefore, in reference to the rectangle given, the length = 8.24 m and width = 4.47 m

Area of the rectangle = 4.47 x 8.24 = 36.83 m²

Perimeter = 2(4.47+8.24) = 2 x 12.71 = 25.42 m

Hence, the area of the rectangle is 36.83 m² and perimeter is 25.42 m

Learn more about rectangle, click;

https://brainly.com/question/29123947

#SPJ1

the probability that a student scored greater than 65 is 0.2389.

The probability that a student scored greater than 65 can be calculated using the standard normal distribution and the z-score. The z-score represents the number of standard deviations a value is from the mean, and can be calculated as follows:

z = (x - mean) / standard deviation

Where x is the score of interest (65)

Mean is the average score of the students (70)

Standard deviation is the standard deviation of the scores (7).

Plugging in the values, we get

z = (65 - 70) / 7 = -0.714.

Using a standard normal distribution table, we can find the probability that a student scored greater than 65 by finding the area to the right of the z-score. The probability of a student scoring greater than 65 is approximately 0.2389, or 23.89%.

To know more about probablity click here:

https://brainly.com/question/30034780#

#SPJ11

This is a difficult decision that you have to make. On the one hand, you really want to see the play and have come all this way to do so.

On the other hand, you have lost a $100 bill and may not be able to afford a ticket. Ultimately, it is your decision to make. If you have the financial means, you could consider buying a ticket and seeing the play. Alternatively, you could look for discounted tickets if available or wait until you have the funds available before buying a ticket.

The cost of a ticket to watch a play depends on the venue, seating arrangements, and other factors. Generally speaking, tickets for a play can range from around $10 to upwards of $100, depending on the show and its popularity.

Learn more about the costs:

https://brainly.com/question/25811981

#SPJ4

The reason that best supports Statement 4 in the

given proof is option A. Addition Property of Equality

The statement 4, "4x + 18 = 78," is an equation that is being derived from the previous statements in the proof. The left side of the equation (4x + 18) represents the value of m/X, which was given as 4x + 18 in statement 2.

The right side of the equation (78) represents the value of m2Y, which was given as 78° in statement 3.

Therefore, statement 4 is derived by substituting the known values of m/X and m2Y into the equation m/X = m2Y, which was given as statement 1.

The reason for this substitution is the Addition Property of Equality, which states that if you add the same value to both sides of an equation, the two sides remain equal.

In this case, the same value (4x + 18) is being added to both sides of the equation m/X = m2Y, resulting in the equation 4x + 18 = 78.

learn more about Proof Reason: https://brainly.com/question/29969150

#SPJ1