La matemática financiera experimentó grandes avances con la creación de la banca y los negocios creados por los emprendedores. Este tipo de matemática se puede encontrar en las transacciones que realizan los concesionarios de carros, como en el siguiente caso: el costo anual (C de operación) de un automóvil nuevo es C= f + cm; f es el costo fijo (depreciación, seguros, impuestos), c es el costo de operación por kilómetro y m es el número de kilómetros recorridos. El costo total por 15000 Km es de 3000 USD, y el costo por 20000 Km es 3500 USD. Encuentra el costo fijo y el costo por kilómetro.

2. Resuelve aplicando sistemas de ecuaciones 2x2.

Answer:

Decay with 37% decrease.

Step-by-step explanation:

If an exponential function is,

y = \(a(b)^{x}\)

Where 'b' = growth factor

And 'a' = Initial amount

How to check the exponential function represents a growth or decay;

1). If the growth is positive,

  Value of 'b' will be greater than 1 and the function will represent growth.

  So the function will be in the form of,

  y = a(1 + r)ⁿ

  Where r = growth rate in percent

2). If the growth is negative,

  Value of 'b' will be in decimals and the function will represent the decay.

  And function will be in the form of,

  y = a(1 - r)ⁿ

  From the given function,

  y = 47(0.63)ˣ

  y = 47(1 - 0.37)ˣ

  Therefore, growth rate of the function will be,

  r = 0.37 ≈ 37%

  Therefore, function decay, with 37% decrease.

The length of the microorganism that measure 5μm is equivalent to 0.005 mm

It is the transformation of a value expressed in one unit of measurement into an equivalent value expressed in another unit of measurement of the same nature.

To solve this problem the we have to convert the units with the given information.

1mm is equal to 1000 μm

5μm * (1 mm/1000μm) = (5*1) / 1000 = 5/1000 = 0.005 mm = 5x10^-3 mm

The length of the microorganism that measure 5μm is equivalent to 0.005 mm

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Answer:

Radius r = 1.

Step-by-step explanation:

Area of MNOP = (√2π)^2 = 2π.

Area 1 = Area 2, so

2π = 2πr^2

Dividing both sides by 2π:-

r^2 = 1.

r = 1.

Answer:

43.2ft

Step-by-step explanation:

1in=10.8

4in=4*10.8

Width=4*10.8

Width=43.2

x and y are not common factors, as they cannot be simplified with themselves.

Common factors in an expression with n terms are the terms that are common to all the terms of an expression.

For example, taking the expression 2 + 4 + 6, we have that 2 is a common factor, as:

For variables to be common factors, we have that they must have the same base, with the same or different exponents.

x and y are different bases, hence they are not common factors.

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The value of the integral $\int_{0}^{1} e^{-x^2}dx$ using the Taylor series for $e^{-x^2}$ is $\sum_{n=0}^{\infty} \frac{(-1)^n}{(2n+1)n!}$.

To use the Taylor series for $e^{-x^2}$ to evaluate the integral $\int_{0}^{1} e^{-x^2}dx$, we can follow the steps below: Step 1: Write out the Taylor series for $e^{-x^2}$. The Taylor series for $e^{-x^2}$ is given by:$$e^{-x^2} = 1 - x^2 + \frac{x^4}{2!} - \frac{x^6}{3!} + \frac{x^8}{4!} - \cdots$$Step 2: Integrate the Taylor series term by term. Integrating each term in the Taylor series yields:$$\int e^{-x^2}dx = \int \left(1 - x^2 + \frac{x^4}{2!} - \frac{x^6}{3!} + \frac{x^8}{4!} - \cdots\right) dx$$$$= x - \frac{x^3}{3} + \frac{x^5}{5\cdot2!} - \frac{x^7}{7\cdot3!} + \frac{x^9}{9\cdot4!} - \cdots + C,$$where $C$ is the constant of integration.Step 3: Evaluate the integral $\int_{0}^{1} e^{-x^2}dx$. Substituting $x=1$ and $x=0$ into the integral yields:$$\int_{0}^{1} e^{-x^2}dx = \left[x - \frac{x^3}{3} + \frac{x^5}{5\cdot2!} - \frac{x^7}{7\cdot3!} + \frac{x^9}{9\cdot4!} - \cdots\right]_{0}^{1}$$$$= \left(1 - \frac{1}{3} + \frac{1}{5\cdot2!} - \frac{1}{7\cdot3!} + \frac{1}{9\cdot4!} - \cdots\right) - \left(0 - 0 + 0 - 0 + 0 - \cdots\right)$$$$= \sum_{n=0}^{\infty} \frac{(-1)^n}{(2n+1)n!}.$$.

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Answer:

32,900,000

Step-by-step explanation:

Because when you multiply with exponents your just multiplying 3.29, 7 times.

I Hope that this is the right answer. Please tell me if it's the wrong or right answer.

Answer:f(x)=−9x+11

Step-by-step explanation:

Answer:

\(3x - 5 = 7x + 11 \\ 7x - 3x = - 11 - 5 \\ 4x = - 16 \\x = - \frac{16}{4} \\ \color{yellow} \boxed{x =-4}\)

Answer:

x= -4

Step-by-step explanation:

3x-5=7x+11

3x-5+5=7x+11+5

3x=7x+11+5

3x=7x+16

3x-7x=7x+16-7x

-4=7x+16-7x

-4x=16

divided each side by -4

x= 16 over -4

divide them and you get -4.

Answer:

2 1/2 ft

Step-by-step explanation:

Is this what you meant?

Length = 1/2 ft

Width = 3/4 ft

If so, then:

Perimeter = length + length + width + width

P = 1/2 ft + 1/2 ft + 3/4 ft + 3/4 ft

P = 2/4 ft + 2/4 ft + 3/4 ft + 3/4 ft

P = 10/4 ft

P = 5/2 ft

P = 2 1/2 ft

Answer:

No, it is smaller.

Step-by-step explanation:

yess it has a decimal so its gonna be greater as well

To solve the equation, we need to multiply both sides by 1/3. This will result in T = 6 hours. Therefore, it would take the turtle 6 hours to walk 2 miles.

The equation to find out how long it would take the turtle to walk 2 miles is: T = 2 / (1/3) Where T represents the time in hours.This equation is derived from the formula "distance = rate * time". In this case, the distance is 2 miles, the rate is 1/3 mile per hour, and the time, represented by T, is what we're trying to solve for.To solve the equation, we need to multiply both sides by 1/3. This will result in T = 6 hours. Therefore, it would take the turtle 6 hours to walk 2 miles.

A) Equation:Time = 2 miles ÷ (1/3 mile per hour) B) Solve equation:

Time = 2 miles ÷ (1/3 mile per hour)

Time = 2 miles × (3/1 mile per hour)

Time = 6 hours

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The solution of the system of equations is (2, 1).

Here we have the system of equations:

y = 2x - 3

y = -x + 3

To solve the system of equations graphically, we need to graph both of these lines in the same coordinate axis and then find the point where the lines intersect.

That point will be the solution of the system.

On the image at the end you can see the graph of the system of equations, there we can see that the solution is (2, 1).

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Salik and Maya are discussing a project that examines the relationship between the number of siblings someone has and their household income. Maya predicts that those with more siblings will have a higher household income. Salik questions whether the number of siblings is a categorical variable since it is a whole number. Our response can be : "In order to conduct this project, we need to choose two quantitative variables, which are variables that can be measured and expressed as numbers. The number of siblings is not a categorical variable because it is a continuous variable that can take on any whole number value."

The number of siblings is a quantitative variable because it can be expressed as a whole number. Household income is also a quantitative variable because it can be measured and expressed as a numerical value. Categorical variables are variables that can be divided into distinct categories or groups, such as gender, race, or occupation. The number of siblings is not a categorical variable because it is a continuous variable that can take on any whole number value.

To examine the relationship between the number of siblings and household income, Maya and Salik could use statistics to analyze their data. They could calculate descriptive statistics such as the mean and standard deviation for each variable, as well as the correlation coefficient to determine the strength and direction of the relationship between the two variables. They could also use probability theory to make predictions about the likelihood of certain outcomes, such as the probability that someone with more siblings will have a higher household income.

The complete question is:

Our classmates, Maya and Salik, are talking about the variables they want to study and how they plan to collect their samples. Here is part of their conversation. Respond in the places that say “your response.”

Double-check that both of their variables are quantitative.

Maya: I want to look at the relationship between the number of siblings someone has and the household income. I predict that those with more siblings have a higher household income.

Salik: We need two quantitative variables for this project. Wouldn’t number of siblings be categorical since it is whole numbers?

Your response:.........

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Answer:

24/182 = 12/91

Step-by-step explanation:

**Maximum Area with a given perimeter:**

The rectangle with the maximum area, given the perimeter of 'P' units, the length and width would be 'P / 4' units each.

To find the length and width of a rectangle that has a given perimeter and a maximum area, we can utilize the concept that a square has the maximum area for a given perimeter. This means that if the perimeter is fixed, the maximum area will be achieved when the rectangle is a square.

Let's apply this concept to the given exercises:

11. Perimeter: 80 meters

If the perimeter is 80 meters, and we want to find the dimensions (length and width) of a rectangle with the maximum area, we can consider it as a square.

Since a square has all sides equal, let's assume the length of each side of the square as 's'. The perimeter of a square is given by 4s.

Given that the perimeter is 80 meters, we have:

4s = 80

Simplifying the equation:

s = 80 / 4

s = 20

Therefore, the length and width of the rectangle with the maximum area, given the perimeter of 80 meters, would be 20 meters each.

12. Perimeter: P units

In this case, the perimeter is given as 'P' units. Similarly, we can apply the same concept and assume the length and width of the rectangle as 'x' units.

The perimeter of a rectangle is given by the formula: 2(length + width).

Given that the perimeter is 'P', we have:

2(length + width) = P

Simplifying the equation:

length + width = P / 2

Since we want to find the maximum area, we can consider the length and width to be equal, as in a square.

So, we have:

2x = P / 2

x = P / 4

Therefore, for the rectangle with the maximum area, given the perimeter of 'P' units, the length and width would be 'P / 4' units each.

In both exercises, the maximum area is achieved when the rectangle is a square (for a given perimeter), with all sides equal to one-fourth of the perimeter.

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To find the probability that the high temperature (x) on January days in Columbus, Ohio is greater than 10 degrees Fahrenheit, we can utilize the properties of the normal distribution with the given mean and standard deviation.

We know that the normal distribution is characterized by its mean (μ) and standard deviation (σ). In this case, the mean is 21 degrees Fahrenheit and the standard deviation is 10 degrees Fahrenheit.

To calculate the probability, we need to find the area under the normal curve to the right of the value 10. Since the normal distribution is symmetric, we can calculate this by finding the area to the left of 10 and subtracting it from 1.

To do this, we need to standardize the value 10 using the z-score formula:

z = (x - μ) / σ,

where z represents the standardized score, x is the value of interest, μ is the mean, and σ is the standard deviation.

Plugging in the values, we have:

z = (10 - 21) / 10 = -1.1.

Using a standard normal distribution table or a statistical software, we can find the area to the left of -1.1. Let's assume this value is approximately 0.1357.

To find the area to the right of 10, we subtract the area to the left from 1:

p(x > 10) = 1 - 0.1357 = 0.8643.

Therefore, the probability that the high temperature on January days in Columbus, Ohio is greater than 10 degrees Fahrenheit is approximately 0.8643 or 86.43%.

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The probability of the high temperature on January days in Columbus, Ohio being greater than 10 degrees Fahrenheit is 86.43%.

To find the probability of x being greater than 10 degrees Fahrenheit, we need to calculate the area under the normal curve to the right of 10. This can be done by standardizing the value of 10 using the z-score formula. The z-score is calculated by subtracting the mean from the value (10 - 21) and dividing it by the standard deviation (10).

z = (10 - 21) / 10 = -1.1

Next, we look up the area to the right of the z-score of -1.1 in the standard normal distribution table or use statistical software. The area to the right of -1.1 is equivalent to the probability of x being greater than 10.

Using the standard normal distribution table or software, we find that the area to the right of -1.1 is approximately 0.8643. Therefore, the probability of the high temperature on January days in Columbus, Ohio being greater than 10 degrees Fahrenheit is approximately 0.8643 or 86.43%.

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The bits pattern "0*0b000000" does not represent a valid floating-point number as it does not adhere to the standard format of floating-point representation. In floating-point representation, there are typically three components: a sign bit, an exponent, and a significand (also known as the mantissa).

In the given pattern "00b000000," it appears that there are no bits representing the exponent or significand, which means essential information is missing to interpret it as a floating-point number. Additionally, the "0" part is unclear and doesn't conform to the standard notation.

This, to represent a valid floating-point number, it is necessary to have a well-defined format that includes all the required components (sign, exponent, and significand) according to a specific floating-point representation scheme, such as IEEE 754.

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Answer:

3

Step-by-step explanation:

Answer:

-2/15

Step-by-step explanation:

8/15-2/3

8/15-10/15

-2/15

Common Denominator

Answer:

The 20% discount is $11.2, the total after the discount is $44.8, the 10% discount is $4.48, the total after that discount is $40.32

Answer:

to answer this question i need to know what and what x together to get the area

Step-by-step explanation

Answer:  There is a total of 900 seats in the auditorium.

Step-by-step explanation:

there is a formula for this

t - n = a + ( n - 1) d

It is called a Arithmetic Progression.

We use this to find the number of seats in the last row first.

a = initial value, 12

d = common difference for each successive term

n = is the number of terms in the sequence

t - 25 = 12 + (25 -1) * 2

We ignore the left side for now, just solve the right and we get 60.

Now we use the equation,

n / 2 (2a + n -1 * d)

So,

25/2 ( 24 + 24 * d)

The answer is 900

Answer:

22

Step-by-step explanation:

180°-90°-68°=22

Answer:

x = \(\frac{s-y}{3-r}\)

Step-by-step explanation:

3x + y = xr + s

Subtract y from both sides:

3x + y = xr + s

3x + y  - y = xr + s - y

3x = xr + s - y

Next, subtract xr from both sides:

3x - xr = xr + s - y - xr

3x - xr =  s - y

Then, factor out x from the left-hand side:

x( 3 - r ) =  s - y

Finally, divide both sides by (3 - r) to solve for x:

x( 3 - r ) =  s - y

\(\frac{x (3 - r)}{3 - r} = \frac{s - y}{3 - r}\)

x = \(\frac{s-y}{3-r}\)

Answer:

13.2287566

Step-by-step explanation:

What Is the Square Root of 175? The square root of 175 is defined as the value obtained on the multiplication of an integer by itself which will give the final product as 175. As there is no such integer which on multiplication with itself will give 175 exactly, the square root of 175 is not a whole number.

Answer:

a = 100 degrees

Step-by-step explanation:

Because PQ = RQ, this is an isosceles triangle.  The supplementary angle of 140 degrees is 40 degrees.  The interior angles of this triangle must add up to 180 degrees:

180 = 40 + 40 - + a. so a = 180 = 2(40), or a = 100 degrees

Predictive analytics may be applied to "Prescriptive analytics," which is a set of techniques that use descriptive data and forecasts to identify the decisions most likely to result in the best performance.

Descriptive analytics focuses on analyzing historical data to understand what has happened in the past and gain insights into patterns and trends. It helps in summarizing and presenting data in a meaningful way.

Prescriptive analytics, on the other hand, goes beyond descriptive analytics by providing recommendations and suggestions for optimal decision-making. It leverages predictive analytics techniques to forecast future outcomes and combines them with business rules, constraints, and optimization algorithms to identify the best course of action.

In the context of predictive analytics, prescriptive analytics helps organizations make informed decisions by considering various potential outcomes and recommending the actions that are most likely to lead to the desired performance.

Therefore, predictive analytics can be applied to prescriptive analytics to leverage descriptive data and forecasts to identify the decisions that are expected to yield the best performance.

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You know that:

- Last weekend his trip took 10 hours when he drove to the mountains.

- When he drove home, the trip took 7 hours.

- His average rate was 18 miles per hour faster on the trip home.

By definition, the distance can be calculated with this formula:

Where "d" is distance, "r" is rate, and "t" is time.

Then, you can set up the following equation to represent his trip to the mountains ("d" is in miles):

And you can set up the following equation to represent his trip home ("d" is in miles):

To find the value of "r", you need to make both equations equal to each other and solve for "r". Then, you get:

Knowing the value of "r", you can substitute it into the second equation:

Finally, evaluating, you get (Remember that "d" is in miles)

Therefore, the answer is: