Manuel borrowed $1,500 from his bank and signed a contract
to make monthly payments for two years at 4% interest
compounded annually, How much total interest will Manuel
pay on this loan?

Answer:

B. \(x>-17.5\)

C. \(x\leq-30\)

Step-by-step explanation:

B.)

\(\frac{-8}{14}x+22>32\\-8x+308>448\\-8x>140\\x>-17.5\)

C.)

\(0.9x+12\leq-15\\0.9x\leq-27\\x\leq-30\)

Hope this helped!! <3

Answer:

x=4

Step-by-step explanation:

9=1/4 (6x+12)

Multiply each side by 4

4*9 =4*1/4 (6x+12)

36 =  (6x+12)

Subtract 12 from each side

36-12 = 6x+12-12

24 = 6x

Divide each side by 6

24/6 = 6x/6

4 =x

Since Maya is estimating the product of 88 and 12, the statements that are true include the following:

In order to determine the statements that are true, we would have to evaluate each of the statement as follows:

"If she rounds both values to the nearest ten, her estimate will be 800."

Rounding up 88 and 12 to the nearest ten, we have the following:

Rounded up number = 88 ≈ 90

Rounded up number = 12 ≈ 10

Therefore, the product of 90 and 10 is given by:

Product = 90 × 10

Product = 900.

"If she rounds 88 to the nearest hundred and 12 to the nearest ten, her estimate will be 1,000."

Rounding up 88 to the nearest hundred, we have the following:

Rounded up number = 88 ≈ 100

Rounding up 12 to the nearest ten, we have the following:

Rounded up number = 12 ≈ 10

Therefore, the product of 100 and 10 is given by:

Product = 100 × 10

Product = 1,000.

In this context, we can reasonably and logically deduce only two statements are true while all of the other statements are false and incorrect.

Read more on product here: https://brainly.com/question/1926203

#SPJ1

Complete Question:

Maya is estimating the product of 88 and 12. Which statements are true? Check all that apply.

If she rounds both values to the nearest ten, her estimate will be 800.

If she rounds both values to the nearest ten, her estimate will be 900.

If she rounds 88 to the nearest hundred and 12 to the nearest ten, her estimate will be 1,000

If she rounds both values to the nearest ten, her estimate will be 1,600.

If she rounds 88 to the nearest hundred and 12 to the nearest ten, her estimate will be 2,000.

Answer:

Swaped

Step-by-step explanation:

Yes. Because the figure maintained its congruency throughout every rigid motion. According to Theorem 3-3, a rigid motion is the combination of two or more rigid motions.

Hence, Yes. Because the figure maintained its congruency throughout every rigid motion. According to Theorem 3-3, a rigid motion is the combination of two or more rigid motions. As a result, the original and final figures can be seen in agreement with each intermediate image.

To learn more about Rigid motions, refer to:

brainly.com/question/22735923

#SPJ2

Answer:

5

Step-by-step explanation:

(-2)^2 -2(4)(-2) / (-2)^2

4-8(-2)/4

4+16/4

20/4

5

The height reached by the projectile, described by the kinetic equation of motion of the projectile, indicates;

First time to reach a height of 60 feet; 0.4 seconds

Second time to reach a height of 60 feet; 2.1 seconds

A projectile is an object that is launched using an applied force and after which is acted upon by gravitational and air wind motion forces.

The function for the height of the projectile is; h(t) = -16·t² + 40·t + 47

When the height of the projectile is 60 feet, we ge;

h(t) = 60 = -16·t² + 40·t + 47

Therefore; -16·t² + 40·t + 47 - 60 = 0

From which we get;

16·t² - 40·t + 13 = 0

t = (40 ± √(40² - 4 × 16 × 13))/(2 × 16)

t = (40 + 16·√3)/32 ≈ 2.1 seconds and t = (40 - 16·√3)/32 ≈ 0.4

Learn more on projectiles here: https://brainly.com/question/20794482

#SPJ4

The probability directly from the cumulative distributive function:

P(X = 2) = 0.17 , P(X > 3) =  0.31 , P(2 ≤ X ≤ 5) = 0.76, P(2 < X < 5)  = 0.42 ,

These calculations are essential in many areas of probability theory and statistics, including hypothesis testing, confidence intervals, and estimation.

(a) To find P(X = 2), we subtract the probability of the previous value from the probability of X being less than or equal to 2:

P(X = 2) = F(2) - F(1) = 0.33 - 0.16 = 0.17.

(b) To find P(X > 3), we subtract the probability of X being less than or equal to 3 from 1:

P(X > 3) = 1 - F(3) = 1 - 0.69 = 0.31.

(c) To find P(2 ≤ X ≤ 5), we subtract the probability of X being less than 2 from the probability of X being less than or equal to 5:

P(2 ≤ X ≤ 5) = F(5) - F(1) = 0.92 - 0.16 = 0.76.

(d) To find P(2 < X < 5), we subtract the probability of X being less than or equal to 2 from the probability of X being less than or equal to 5, and then subtract the probability of X being equal to 2:

P(2 < X < 5) = F(5) - F(2) - P(X = 2) = 0.92 - 0.33 - 0.17 = 0.42.

In summary, to calculate probabilities from a given cdf, we use the formula P(X = x) = F(x) - F(x-1) for discrete random variables, and P(a < X ≤ b) = F(b) - F(a) for continuous random variables. We can also use complement probabilities to find the probability of events such as P(X > a) or P(a < X < b). These calculations are essential in many areas of probability theory and statistics, including hypothesis testing, confidence intervals, and estimation.

Learn more about Probability:

https://brainly.com/question/11234923

#SPJ4

Answer:

100 percent written as a decimal would just be 1

Step-by-step explanation:

For example, 50% is 0.50 in decimal form that would make 100% well, 1.0

Hope this helps and have a great day!

You got this :)

the mean absolute deviation of the set {16, 10, 22, 18, 4, 18, 14, 24, 16, 22} is 4.68.

To find the mean absolute deviation of a set of numbers, we first need to calculate the mean of the set.

The mean of the set {16, 10, 22, 18, 4, 18, 14, 24, 16, 22} is:

Mean = (16 + 10 + 22 + 18 + 4 + 18 + 14 + 24 + 16 + 22) / 10 = 16.4

Next, we need to calculate the absolute deviation of each number from the mean. The absolute deviation is the absolute value of the difference between the number and the mean.

The absolute deviations for each number in the set are:

|16 - 16.4| = 0.4

|10 - 16.4| = 6.4

|22 - 16.4| = 5.6

|18 - 16.4| = 1.6

|4 - 16.4| = 12.4

|18 - 16.4| = 1.6

|14 - 16.4| = 2.4

|24 - 16.4| = 7.6

|16 - 16.4| = 0.4

|22 - 16.4| = 5.6

Now, we need to find the mean of the absolute deviations.

Mean absolute deviation = (0.4 + 6.4 + 5.6 + 1.6 + 12.4 + 1.6 + 2.4 + 7.6 + 0.4 + 5.6) / 10

Mean absolute deviation = 4.68

Therefore, the mean absolute deviation of the set {16, 10, 22, 18, 4, 18, 14, 24, 16, 22} is 4.68.

To learn more about Mean:

https://brainly.com/question/30112112

#SPJ4

The distribution of the following random variable the number of spins that land on a negative value in 10 spins follows a binomial distribution with parameters n = 10 (number of trials) and p (probability of success for each trial).

The random variable you described, which represents the number of spins in 10 trials that land on a negative value on a normal(0, 1) spinner, follows a binomial distribution.

The binomial distribution is characterized by having a fixed number of independent trials, each with two possible outcomes (success or failure), and a constant probability of success (p) for each trial. In this case, a "success" can be defined as a spin landing on a negative value.

In your scenario, each spin has two possible outcomes: landing on a negative value (success) or landing on a non-negative value (failure). The probability of success (p) is determined by the properties of the normal(0, 1) distribution.

Therefore, the number of spins that land on a negative value in 10 spins follows a binomial distribution with parameters n = 10 (number of trials) and p (probability of success for each trial).

To know more about parameters refer here:

https://brainly.com/question/29911057#

#SPJ11

The value of the x is 12.12

What is the Pythagorean theorem in plain English?

According to Pythagoras' Theorem, the square of a right-angled triangle's hypotenuse side is equal to the sum of the squares of its other two sides. The three sides of this triangle are known as the Perpendicular, Base, and Hypotenuse.

What is the purpose of the Pythagorean theorem?

Using the sum of the areas of three intersecting squares, the Pythagorean Theorem shows how to get the side lengths of a right triangle. This theorem is an extremely useful tool that forms the basis for more complicated trigonometry ideas like the inverse of the Pythagorean theorem.

Using Pythagorean Theorem,

x^2 + 7^2 = 14^2

x^2 + 49 = 196

x^2 = 147

x = ~12.12

Learn more about Pythagorean theorem

https://brainly.com/question/343682

#SPJ1

Answer:

81.25

Step-by-step explanation:

Because you want to know the total distance, calculate how many digits -49.75 is away from 0. It is 49.75 digits away from 0.

Now calculate how many digits 31.5 is away from 0. It is 31.5 digits away from 0.

Finally, add those two distances together so that you know the total distance:

49.75+31.5 = 81.25

Answer:

in the picture

HOPE ITS HELP

So, if we apply the power's rule, we notice that if the base is the same, the exponents can be substracted. Like this

So the answer is 1 / x to the 9th power

\( - \frac{4}{5} \div 2 = - \frac{4}{5} \times \frac{1}{2} = - \frac{2 }{5} \\ \)

So the second one is the correct answer.

Answer:

- 2/5

Step-by-step explanation:

divide

add - sign

hope this helps

The solution to the given system of equations is x = 2, y = -1, and z = 1.

To solve the system of equations, we can use methods such as substitution or elimination. Here, we will use the method of elimination to find the values of x, y, and z.

First, let's eliminate the variable x by multiplying equation (1) by 2 and equation (3) by -1. This gives us:

2x + 4y - 2z = -6 (4)

-x + y - z = -4 (5)

Next, we can subtract equation (5) from equation (4) to eliminate the variable x:

5y - z = 2 (6)

Now, we have a system of two equations with two variables. Let's eliminate the variable z by multiplying equation (2) by 2 and equation (6) by 1. This gives us:

4x - 2y + 2z = 10 (7)

5y - z = 2 (8)

Adding equation (7) and equation (8), we can eliminate the variable z:

4x + 5y = 12 (9)

From equation (6), we can express z in terms of y:

z = 5y - 2 (10)

Now, we have a system of two equations with two variables again. Let's substitute equation (10) into equation (1):

x + 2y - (5y - 2) = -3

x - 3y + 2 = -3

x - 3y = -5 (11)

From equations (9) and (11), we can solve for x and y:

4x + 5y = 12 (9)

x - 3y = -5 (11)

By solving this system of equations, we find x = 2 and y = -1. Substituting these values into equation (10), we can solve for z:

z = 5(-1) - 2

z = -5 - 2

z = -7

Therefore, the solution to the given system of equations is x = 2, y = -1, and z = -7.

Learn more about: Equations,

brainly.com/question/29657983

#SPJ11

The northeast area consists of nine states, hence this variance can have any value between 0 and 9, inclusive.

The proportion of northeastern states having an unemployment rate lower than 8.3% is the random factor of interest. The random variable will have a value of 0 if the unemployment rate was higher compare to 8.3% in each of the nine states. The binomial distribution would have a value of 1 if only one state had an unemployment rate lower than 8.3%.

The random variable will assume on a value in the range if two states have a rate of unemployment lower than 8.3%, and so on, up to a limit result of 9 that all nine states include an poverty rate lower than 8.3%.The government can monitor the northeast region's economic conditions and make accurate policy decisions by keeping tabs on poverty in these nine states.

The government can recognize regions that might require extra assistance and initiatives to make their economic situation by knowing how many states had unemployment rates under a particular level.

Learn more about variance here:

https://brainly.com/question/13708253

#SPJ4

Using line tangent, the approximation for f(2.1) is 3.95

Given,

The point (a, f(a)) is on the line tangent to the graph of y = f(x) at x = a, which has a slope of f'(a).

The equation be like;

y - f(a) / (x - a) = f'(a)

y = f'(a) (x - a) + f(a)

Using the provided data and a = 2, we can determine that the tangent line to the graph of y = f(x) at x = 2 has equation

y = f'(2) (x - 2) + f(2)

y = -1/2 (x - 2) + 4

To compute a "approximation of f(2.1) using the line tangent to the graph of f at x = 2," one must substitute x = 2.1 for f in the equation for the tangent line (2.1). You get 2.1 when you plug this in.

y = -1/2 (x - 2) + 4

y = -1/2 (2.1 - 2) + 4

y = -1/2 x 0.1 + 4

y = 3.95

That is,

The approximation for f(2.1) using line tangent is 3.95

Learn more about line tangent here;

https://brainly.com/question/2289618

#SPJ4

Answer:

\(a \ = \frac{l}{12} \)

The highest point on a bell-shaped curve represents the peak or maximum value of the distribution. This point is known as the mode of the distribution.

In a bell-shaped curve, also known as a normal distribution or Gaussian distribution, the data is symmetrically distributed around the mean. The curve is characterized by a central peak, and the highest point on this peak corresponds to the mode.

The mode represents the most frequently occurring value or the value that has the highest frequency in the dataset. It is the point of highest density in the distribution.

The bell-shaped curve is often used to model naturally occurring phenomena and is widely applied in statistics and probability theory. The mode provides information about the most common or typical value in the dataset and is useful for understanding the central tendency of the distribution.

While the mean and median also have significance in a normal distribution, the highest point on the bell-shaped curve specifically represents the mode, indicating the value with the highest occurrence in the dataset.

Learn more about Gaussian distribution at: brainly.com/question/29734279

#SPJ11

Answer:

16/81

Step-by-step explanation:

as there is (-) sign so when we multiply even negative numbers it becomes positive

Answer:

81/16

beacuse

the 4 is negative. so it will become the reciprocal

Hey there!☺

\(Answer:\boxed{3y+2}\)

\(Explanation:\)

\(3y+2\)

Since there are no like terms and it can't be factored the answer is:

\(3y+2\)

Hope this helps!

Answer:

1) AD = 9 in

2) DE = 9.25 in

3) ∠EDC = 36°

4) ∠AEB = 108°

5) 11.5 in

Step-by-step explanation:

1) AD = BC = 9in

2) AC = BD (diagonals are equal)

⇒ BD = 14.25

⇒ BE + DE = 14.25

⇒ 5 + DE = 14.25

DE = 9.25

3) Since AB ║CD,

∠ABE = ∠EDC = 36°

4) ∠ABE = ∠BAE = 36°

Also ∠ABE + ∠BAE + ∠AEB = 180 (traingle ABE)

⇒ 36 + 36 + ∠AEB = 180

∠AEB = 108

5) midsegment = (AB + CD)/2

= (8 + 15)/2

11.5

Colin has lived by the biblical ideal of avoiding debt, purchasing the lowest item, repaying a loan, and being financially honest.

With an auto loan, you may borrow money from a bank and use it to purchase a vehicle. The loan must be repaid with interest over a defined period of time in fixed instalments from you.

Lenders will aim for a credit score of at least 750 when you apply for a vehicle loan.

The additional costs won't dramatically raise the price of the automobile because of the low interest rate. The periodic payments won't put undue strain on your current or next finances.

Read more on car loan here:

https://brainly.com/question/25696681

#SPJ4

Answer:

I fr don’t know

Step-by-step explanation:

Answer:

70.8%

Step-by-step explanation:

The Taylor series for a function f about x=1 is an infinite sum that represents the function using its derivatives at x=1. It starts with the value of the function at x=1 and includes terms involving higher derivatives multiplied by powers of (x-1) divided by factorials. It allows us to approximate the function near x=1 using a polynomial.

1. The first term, f(1), represents the value of the function at x=1.
2. The subsequent terms involve the derivatives of the function at x=1. The second term, f'(1)(x-1), is the first derivative of f at x=1 multiplied by (x-1).
3. Each subsequent term involves higher derivatives of f at x=1, with each derivative being multiplied by (x-1) raised to a power and divided by the corresponding factorial.

The Taylor series is a way to represent a function as an infinite sum of terms derived from its derivatives at a specific point. In this case, the Taylor series for function f about x=1 is given by f(x) = f(1) + f'(1)(x-1) + f''(1)(x-1)^2/2! + f'''(1)(x-1)^3/3! + ...

Each term involves a derivative of f evaluated at x=1, multiplied by (x-1) raised to a power and divided by the corresponding factorial. By including more terms in the series, we can approximate the function better near x=1 using a polynomial.

To know more about Derivatives visit.

https://brainly.com/question/25324584

#SPJ11

Answer:

0.95 Miles (mi) that's the answer

Note that Dawson's annual premium will be $2,462.40.

Dawson's annual premium will be $2,462.40.

This can be derived by going across from "Male 40-44" over to "20-year coverage" which is $13.68. Since $13.68 is per $1000 of coverage, you would multiply it by 180 to get $2,462.40.

An insurance premium is the amount of money paid by a person, firm, or enterprise to obtain an insurance coverage. The amount of the insurance premium is governed by a variety of factors and varies from one payee to the next.

Learn more about annual premium at:

https://brainly.com/question/9834518

#SPJ4

Full Question:

Although part of your question is missing, you might be referring to this full question: