una persona compra un terreno a crédito pagadero en 5 año. El primer año paga 5000$. Si cada año paga 10% más que el anterior; calcula cuanto pagará en el quinto año y cual es el importe del terreno

The number of cuts from a 20% length is 2 and the number of 20' angle are needed in order to have the 100 pieces is 5

From the information given;

The bricklayer needs = 100 pieces of angle

The number of cuts = 54

Length of cuts = 3/ 16'' Inches

a. To determine the number of cuts form a 20% length, we have to multiply the length by the percentage and by the initial number of cuts

= 20/ 100 × 3/ 16 × 54

= 0. 2 × 0. 1875 × 54

= 2. 0

The number of cuts would be 2

b. To determine the number of pieces of 20' angle to have 100 pieces we would divide the initial number of pieces by the angle

= 100/ 20

= 5 pieces

The number of pieces of 20' angle is 5

Thus, the number of cuts from a 20% length is 2 and the number of 20' angle are needed in order to have the 100 pieces is 5

Learn more about word problem here:

https://brainly.com/question/13818690

#SPJ1

Answer:

A = 30 ft²

Step-by-step explanation:

the area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂)

where h is the height and b₁, b₂ the parallel bases , then

A = [tex]\frac{1}{2}[/tex] × 4 × (5 + 10) = 2 × 15 = 30 ft²

The interval notation of the possible values of x according to.the given inequalities is; -3 > x and x>= 2.

The interval notation of the given inequalities which describes the possible value of x according to the task content are as follows;

For − 2 x − 2 > 4; we have;

− 2 x > 4 +2

-2x > 6

x < -3.

For − 8 x − 7 ≤ − 23; we have;

− 8 x ≤ − 23 +7

-8x ≤ -16

x >= 2.

Consequently, the interval notation of the given inequalities is; -3 > x and x >= 2.

Read more on interval notation of inequalities;

https://brainly.com/question/15034661

#SPJ1

The point-slope equation of the line is: y - 2 = 8(x - 2).

The point-slope equation is: y - b = m(x - a), where:

Using the coordinates of the point shown in the graph, substitute (a, b) = (2, 2) and m = 8 into y - b = m(x - a):

y - 2 = 8(x - 2)

Learn more about the point-slope equation on:

https://brainly.com/question/24907633

#SPJ1

Answer:

a) 10/21 b) 5/21 c)1/21

Step-by-step explanation:

a) your have 7 choice and 5 or them or red, 5/7.  You do not replace the red marble, so for your second draw, you now only have 6 choices and of those 6 choices only 4 of them are now red or 4/6 or 2/3.  We multiple these two numbers together:

5/7(2/3) = 10/21

b) For the first draw, you have 5 red marbles available out of a total 7 marbles or 5/7.  The second draw now only has 6 marbles and 2 of them or yellow to make 2/6 or 1/3 (simplified).  We multiply these together.

5/7(1/3) =5/21

c)  I am assuming that you are still selecting 2 marbles.  The first draw would be 2/7.  This time I am selecting yellow and there are only 2 choices for yellow.  My next draw will only have 6 marbles and only 1 of them will be yellow, so 1/6.  We multiply these together

2/7(1/6) = 2/42 or 1/21

Answer: 175 ft squared

Step-by-step explanation: A= a + b / 2h= 20 + 152 · 10 = 175

The equation of the axis of the curve is determined by (c) c

The equation is given as:

y= a sin[k(x - d)] + c

In the above equation, the midline is

y = c

This represents the equation of the curve axis

Hence, the equation of the axis of the curve is determined by (c) c

Read more about sine function at:

https://brainly.com/question/12015707

#SPJ1

Answer: [tex]160^{\circ}[/tex]

Step-by-step explanation:

By the exterior angle theorem,

[tex]4x-14+5x-182=5x-100\\\\9x-196=5x-100\\\\4x=96\\\\x=24\\\\\implies m\angle BCD=20^{\circ}\\\\\implies m\angle BCA=160^{\circ}[/tex]

[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]

[tex]\textsf{ \underline{\underline{Steps to solve the problem} }:}[/tex]

By Exterior angle property :

[tex]\qquad❖ \: \sf \:4x - 114 + 5x - 182 = 5x - 100[/tex]

[tex]\qquad❖ \: \sf \:9x -29 6 = 5x - 100[/tex]

[tex]\qquad❖ \: \sf \:9x - 5x = - 100 + 296[/tex]

[tex]\qquad❖ \: \sf \:4x = 96[/tex]

[tex]\qquad❖ \: \sf \:x = 24 \degree[/tex]

Next, Angle BCA = 180° - Angle BCD

( linear pair )

[ let angle BCA = y ]

[tex]\qquad❖ \: \sf \:y = 180 - (5x- 100)[/tex]

[tex]\qquad❖ \: \sf \:y = 180 - (5(24) - 100)[/tex]

[tex]\qquad❖ \: \sf \:y = 180 - (120 - 100)[/tex]

[tex]\qquad❖ \: \sf \:y = 180 - 20[/tex]

[tex]\qquad❖ \: \sf \:y = 160 \degree[/tex]

[tex] \qquad \large \sf {Conclusion} : [/tex]

The two figures are similar because each side length of the image is times the corresponding side length of the preimage and all the pairs of corresponding angles are congruent.

The transformations are given as:

Rotation and translation would preserve the lengths and the angles of the triangles. Because they are rigid transformations.

Dilation would only preserve the angle of the triangles. Because it is a nonrigid transformation.

The above means that the angles of triangle PQR and triangle P'Q'R' are congruent

Hence, the true statement is (d)

Read more about transformation at:

https://brainly.com/question/11709244

#SPJ1

Answer:

An equilateral triangle with a length of 2

Step-by-step explanation:

A 2-by-2 square implies that the square has a length and width of 2. Since equilateral triangles have the same length for all sides, it tells you that if one side is a certain length, all the other sides must have the same length. The largest length we can fit into this square would be 2 because any larger, the sides of the triangles would not fit into the square. Under the assumption that the length needs to be a whole number, the answer would be 2.

250 grams of dragon alloy #11 and 750 grams of dragon alloy #35 is needed to make 1000 grams (1 kg) of Dragon alloy #17.

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

Let x represent the amount of alloy #11 and y represent the amount of alloy #15, hence:

(0.36x) + (y * 0.36) = 1(0.36)   (1)

Also:

0.28x + 0.64y = 1(0.55)    (2)

From both equations:

x = 0.25, y = 0.75

250 grams of dragon alloy #11 and 750 grams of dragon alloy #35 is needed to make 1000 grams (1 kg) of Dragon alloy #17.

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

#SPJ1

The customer will to pay $2,970 in 12 days.

What does 3/10 mean?

3/10 is cash discount term which means that a discount of 3% would be given to the customer if payment for the goods purchased is made within 10 days of purchase.

In this  case, 3% is not applicable since the payment was made after 12 days.

What does 1/20 mean?

1/20 is cash discount term which means that a discount of 1% would be given to the customer if payment for the goods purchased is made within 20 days of purchase, the payment is within this range, hence, a 1% discount would be applied to invoice price so as to determine the cash payable

cash payable=$3,000*(1-1%)

cash payable=$3,000*0.99

cash payable=$2,970

What does n/30 mean?

It means a payment is expected latest after 30 days which does not entitle the customer no discount.

Find out more on cash discount on:https://brainly.com/question/17092140.

#SPJ1

The largest size of a team according to the task content is; 20 kids.

It follows from the task content that the population is; 20 students in Mrs. Tanya's class and 24 kids in Mrs. Olga's class.

However, since, the team forming condition states that students be placed on teams of equal size with students from only their own class.

It therefore follows that the largest size of a team is 20 as only 20 students are in Mrs. Tanya's class hence leaving 4 kids in Mrs. Olga's class without a team.

Read more on limiting factor;

https://brainly.com/question/16479356

#SPJ1

Answer:

$42,600

Step-by-step explanation:

284000 x .15

The expression [tex]\sqrt{\frac{5}{x-1} }[/tex] is equivalent to the given quotient.

Option A is correct.

When we divide one number by another, the result is a quotient. Although a quotient can be greater than the divisor, it will never be greater than the dividend.

In mathematics, the outcome of dividing a number by any divisor is known as the quotient. It refers to how many times the dividend contains the divisor.

After the division has been done, the quotient is obtained. This signifies that the quotient is the result of dividing a dividend by a divisor.

According to the question,

[tex]\sqrt{25(x-1)}[/tex] ÷ [tex]\sqrt{5(x-1)^{2} }[/tex] =  5[tex]\sqrt{x-1}[/tex] ÷ (x-1)[tex]\sqrt{5}[/tex]

                                     =  [tex]\sqrt{\frac{5}{x-1} }[/tex]

Learn more about quotient here:

https://brainly.com/question/673545

#SPJ1

Using proportions, it is found that they must win 19 of their next 30 games.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

We want a win-to-loss proportion of 2:1, which is equivalent to a win-to-total proportion of 2:3. We have that:

Hence:

[tex]\frac{5 + x}{36} = \frac{2}{3}[/tex]

3(5 + x) = 72

15 + 3x = 72

3x = 57

x = 19.

The Rangers must win 19 of their next 30 games.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Using the Poisson distribution, there is a 0.9978 = 99.78% probability that there will be 4 or more customers at this bank in one hour.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

The parameters are:

A bank gets an average of 12 customers per hour, hence the mean is [tex]\mu = 12[/tex].

The probability that there will be 4 or more customers at this bank in one hour is:

[tex]P(X \geq 4) = 1 - P(X < 4)[/tex]

In which:

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

Then:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-12}12^{0}}{(0)!} \approx 0[/tex]

[tex]P(X = 1) = \frac{e^{-12}12^{1}}{(1)!} \approx 0[/tex]

[tex]P(X = 2) = \frac{e^{-12}12^{2}}{(2)!} = 0.0004[/tex]

[tex]P(X = 3) = \frac{e^{-12}12^{3}}{(3)!} = 0.0018[/tex]

Then:

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0 + 0 + 0.0004 + 0.0018 = 0.0022.

[tex]P(X \geq 4) = 1 - P(X < 4) = 1 - 0.0022 = 0.9978[/tex]

0.9978 = 99.78% probability that there will be 4 or more customers at this bank in one hour.

More can be learned about the Poisson distribution at https://brainly.com/question/13971530

#SPJ1

Answer:

Step-by-step explanation:

x = speed of the boat

y = speed of the current

x + y = 162/3 = 54 mph

x - y = 132/3 = 44 mph

Add the two equations to get

2x = 98

x = 49 mph

y = 54 - x = 54 - 49 = 5 mph or something

Answer:

Let's go through the following example to show how to solve a system of equations by graphing. I won't solve this system, I will just show how to.

[tex]8x-3y = 17\\4x+y=21[/tex]

If you have an online grapher (like Desmos) at your disposal, then you can put each equation in it as it is.

1. Get both equations in the form [tex]y=mx+b[/tex] by solving for y.

[tex]8x-3y=17\\-3y=-8x+17\\y=\frac{8}{3}x-\frac{17}{3}[/tex]               [tex]4x+y=21\\y=-4x+21[/tex]

2. Put both equations in the graphing calculator

1. Get both equations into the form [tex]y=mx+b[/tex] by solving for y.

[tex]8x-3y=17\\-3y=-8x+17\\y=\frac{8}{3}x-\frac{17}{3}[/tex]                    [tex]4x+y=21\\y=-4x+21[/tex]

2. Plug in a few different points for x and calculate their y-values.

3. Plot those points on the graph paper

Answer:

Step-by-step explanation:

2x+3y=15

multiply by 2

4x+6y=30   ...(1)

6y=-4x+12

4x+6y=12    ...(2)

(1) and (2) represent parallel lines.

Hence no solution.

The support pole must be approximately 7.8 meters long.

Based on all the information given in the statement, we prepare a geometric diagram that describes the system formed by the high-security fence and the support pole. The representation is attached below. Lastly, the length of the pole is found by using the law of sines:

l/sin 84° = 6 m /sin 50°

l = 6 m × (sin 84°/sin 50°)

l ≈ 7.790 m

The support pole must be approximately 7.8 meters long.

To learn more on law of the sines: https://brainly.com/question/17289163

#SPJ1

The value of y  / 3 in the equation is x / 4.

Therefore,

x + 4 / 4 = y + 3 / 3

then y / 3 can be found as follows,

x + 4 / 4  = x / 4 + 4 / 4 = x  / 4 + 1

y + 3 / 3  = y / 3 + 3 / 3  = y / 3 + 1

x  / 4 + 1 = y / 3 + 1

subtract 1 from both sides of the equation

x  / 4 + 1 - 1 = y / 3 + 1 - 1

x / 4 = y / 3

learn more on equation here:https://brainly.com/question/12511311

#SPJ1

The measure of Angle EDH = 50°.

The angle EDH exists given as 5x° and the angle HDG exists given as 4x°. The angles EDG and FGD exist at right angles. That signifies both angles exist equivalent to 90°.

Angle EDH = 5x°

Angle HDG = 4x°

Angle EDG = 90°

5x + 4x = 90

9x = 90

Divide both sides by 9

x = 90/9

x = 10°

Angle EDH = 5x = 5 × 10 = 50°

The measure of Angle EDH = 50°.

Therefore, the correct answer is option c) 50°.

To learn more about rectangles in the coordinate refer to:

https://brainly.com/question/15157106

#SPJ9

Debido a restricciones de longitud invitamos cordialmente a leer la explicación de esta pregunta para aprender sobre las cuestiones de las ecuaciones cónicas.

Según la geometría analítica, existen cinco tipos de secciones cónicas: recta, circunferencia, elipse, parábola e hipérbola. Aquí se presentan problemas que emplean este tipo de ecuaciones.

1) La trayectoria de la rana describe la forma de una parábola. Asumimos que el punto máximo de la trayectoria de la rana es de la forma (h, k) = (0, k), entonces tenemos que la ecuación de la parábola es:

y - k = C · x²       (1)

Donde C es la constante del vértice.

Si sabemos que (h, k) = (0, 3) y (x, y) = (9, 0), entonces la ecuación de la parábola es:

C = (0 - 3) / 9²

C = - 1 / 27

La ecuación de la parábola es y - 3 = (- 1 / 27) · x².

2) Se determina el tipo de categoría de cada ecuación:

a) 3 · x - 2 · y + 4 = 0: Recta (a · x + b · y + c = 0)

b) 4 · x + y² - 7 = 0: Parábola ((y² - k) = 4 · p · (x - h))

c) x² + y² = 16: Circunferencia ((x - h)² + (y - k)² = r²)

d) y = x³ - 3 · x + 1: Ecuación cúbica

e) x² + 4 · y² = 4: Elipse (b² · (x - h)² + a² · (y - k)² = a² · b²)

3) Se debe hallar el valor C de la función lineal tal que S = 0.35 por medios algebraicos:

0.35 = 0.03 + 1.805 · C

0.32 = 1.805 · C

C = 0.32 / 1.805

C = 0.177

4) El arco semielíptico tiene una longitud de semieje mayor de 25 pies (paralelo al eje x) y una longitud de semieje menor de 15 pies (paralelo al eje y). Si consideramos que el centro de la elipse está en el origen, entonces tenemos que la ecuación es:

x² / 25² + y² / 15² = 1

y = 15 · √(1 - x² / 25²)

y = 15 · √(1 - 12² / 25²)

y = 13.159 pies

5) a) y b) Ahora graficamos la hipérbola y presentamos las ubicaciones de los focos y las asíntotas correspondientes. a) Las ecuaciones de las asíntotas son y = ± (3 / 2) · x, b) Las ecuaciones de las asíntotas son y = ± (√ 2 / 2) · x.

c) Se puede determinar la naturaleza de cada ecuación por métodos algebraicos:

9 · x² - 4 · y² - 54 · x - 16 · y + 29 = 0

[9 · x² - 2 · 9 · (3 · x) + 81] - [4 · y² - 2 · 8 · (2 · y) + 64] = 116

(3 · x - 9)² - (2 · y - 8)² = 116

9 · (x - 9)² - 4 · (y - 4)² = 116

(x - 9)² /12.889 - (y - 4)² / 29 = 1  - Hipérbola

4 · x² + 2 · y² - 7 · x + y - 5 = 0

[4 · x² - 2 · (7 / 4) · (2 · x) + 49 / 16] + [2 · y² + 2 · (√2 / 2) · (√2 · y) + 1 / 2] = 5

(2 · x - 7 / 4)² + (√2 · y + √2 / 2)² = 5

4 · (x - 7 / 8)² + 2 · (y + 1 / 2)² = 5

(x - 7 / 8)² / 1.25 + (y + 1 / 2)² / 2.5 = 1  - Elipse  

Para aprender sobre las secciones cónicas: https://brainly.com/question/24223341

#SPJ1

The information that can be collected to make an insurance policy will be information regarding the drivers.

It should be noted that the probability simply means the likelihood of the occurence of an event.

In this case, when choosing a car insurance policy, we can use the probability to determine the likelihood for the need to file a claim.

The course of action is to survey a number of drivers to get information from them.

Also, the benefit of this approach is that the food drivers can pay less premium while the disadvantage can be the cost that's involved.

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

1. A situation that can use probability to make an informed decision is when deciding on an insurance policy to take.

2. The information that you would collect for an insurance policy decision includes insurance:

3. An understanding of probability helps the policyholder to:

Using probability, the insurance policyholder enjoys these benefits:

However, the limitations of probability in measuring insurance risks become prominent under the following situations:

Thus, probability analyzes insurance policies to determine the best plans and their deductible amounts.

Learn more about probability and insurance at https://brainly.com/question/16671974

#SPJ1

Answer:

D.{15,23,25,38,53}

Step-by-step explanation:

Replace f(x) with any other variables of your choice.

Substitute the value of the variable for the given set of hits

that is {4,12,14,27,42}

Solve for x for each value of the variable from the above set

Put all the solution for x in a set that is inside {,} brackets.

The correct option should be D