A=P(1+r/100) find r

help with this math :)

Answer:

$\(45\)

Step-by-step explanation:

\(30\)% \(\mathrm{of}\) $\(150\)

\(=\frac{30}{100}\times 150\\\)

\(=\) $\(45\)

Firstly, the y intercept is the value of y when x = 0.

from the table, at x=0, the value of y is 8;

So, the y-intercept is;

Next, the slope can be calculated using the slope formula;

selecting two corresponding values of x and y and substituting we have;

The slope is;

In the norming phase of group development, group problems begin to be resolved or managed, and the group begins to solidify a common point of view.

During this stage, the group members start to work together more effectively and establish norms and rules for behavior within the group.

There is a sense of camaraderie among the group members, and they start to develop a shared identiy.

They are more comfortable with each other, and conflicts are usually resolved through discussion rather than argument.

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Answer:

Answer: (√3)/2

Step-by-step explanation:

\( \sin(35 \degree) \cos(25\degree) + \cos(35\degree) \sin(25\degree) \\ \)

from trigonometry identities:

\( \sin(a + b) = \sin(a) \cos(b) + \cos(a) \sin(b) \\ \)

a » 35°

b » 25°

Therefore;

\( = \sin(35\degree + 25\degree) \\ = \sin(60\degree) \\ \\ = \frac{ \sqrt{3} }{2} \)

The maximum height reached by each stone is 40.5 meters.

The height of each stone above the ocean is given by the function:

h = -2t² + 2t + 40

This is a quadratic function in standard form, with a = -2, b = 2, and c = 40.

The maximum height reached by the stone occurs at the vertex of the parabolic curve described by this function.

The t-coordinate of the vertex is given as:

t = -b / 2a

Substitute the values of a and b,

t = -2 / (2×(-2)) = 0.5

So the maximum height is reached 0.5 seconds after the stone is thrown.

To find the maximum height, substitute the value of t into the function:

h = -2(0.5)² + 2(0.5) + 40 = 40.5 meters

Therefore, the maximum height reached by each stone is 40.5 meters.

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Answer:

50

Step-by-step explanation:

please brainalist

Answer:

x= 60

Step-by-step explanation:

brr 180 degrees total, divided by 3x would be 60

so X=60

Every ideal of S is principal when f:R⇒S be a surjective homomorphism of rings with identity.

In a homomorphism, corresponding elements of two systems behave very similarly in combination with other corresponding elements. For example, let G and H be groups. The elements of G are denoted g, g′,…, and they are subject to some operation ⊕.

In algebra, a homomorphism is a structure-preserving map between two algebraic structures of the same type (such as two groups, two rings, or two vector spaces). The word homomorphism comes from the Ancient

Let f:R⇒S be a surjective homomorphism of rings with identity.

We have to find if R is a PID, prove that every ideal in S is principal.

We know that,

Let I be the ideal of S

Since f is sufficient homomorphism.

So, f⁻¹(I) is an ideal of R.

Since R is PID so ∈ r ∈ R such that

f⁻¹(I) = <r>

I = <f(r)>

Therefore,

Every ideal of S is principal when f:R⇒S be a surjective homomorphism of rings with identity.

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The rate of return for the entire portfolio, given the amount allocated to each of the four securities is

The rate of return would be the expected return of the proportion of the amounts invested into the various investment vehicles and their rates of return.

The rate of return for the portfolio is therefore :

= ∑ ( proportion invested x rate of return )

= ( 25 % x 12 % ) + ( 10 % x 7 % ) + ( 35 % x 22 % ) + ( 30 % x  - 12 % )

= 7. 8 %

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The variance and standard deviation for the given frequency of pupils per teacher in some states of US is

Variance= 4.62 = 4.6

Standard Deviation = 2.14 = 2.1

The frequency distribution shows the average number of pupils per teacher in some states of the United States.

Variance(σ²) is a measure of dispersion. A measure of dispersion is a quantity that is used to check the variability of data about an average value. Data can be of two types - grouped and ungrouped. When data is expressed in the form of class intervals it is known as grouped data. On the other hand, if data consists of individual data points, it is called ungrouped data. The sample and population variance can be determined for both kinds of data.

The standard deviation(σ) of a random variable, sample, statistical population, data set, or probability distribution is the square root of its variance. It is algebraically simpler, though in practice less robust, than the average absolute deviation.

That means Standard Deviation = √variance.

For the given data the sum of frequencies(ni) = 1+16+11+7+1+2= 38.

Midpoint(mi) is 12,15,18,21,24,27.

ni * mi = 12,240,198,147,24,54.

Sum of ni * mi = 675.

Mean (u) =  17.76

mi - u    is -5.76,-2.76,0.24,3.24,6.24,9.24.

(mi - u)^2 is 33.17,7.61,0.057,10.49,38.93,85.37.

Sum of (mi - u)^2 = 175.62.

Variance = Sum of (mi - u)^2 / sum of frequencies

=> 175.62/38

=> 4.62 = 4.6.

Standard deviation = √variance.

=> √4.62

=> 2.14 = 2.1.

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By solving the given equations, the values of x are 7 and -7.

So, |x| -7:

Now, solve for x as follows:

Then,

Therefore, by solving the given equations, the values of x are 7 and -7.

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Answer:

see below

Step-by-step explanation:

All the given equation have mod function in them .We know that, if

\(\longrightarrow |x| = y \\\)

then ,

\(\longrightarrow x =\pm y \\\)

1) |k| = 8

\(\longrightarrow k =\pm 8 \\\)

__________________________

2)|x| = 7

\(\longrightarrow x = \pm 7\\\)

__________________________

3) |a+2| = 8

\(\longrightarrow a + 2 =\pm \\\)

\(\longrightarrow a = 8-2 \ or \ -8-2\\\)

\(\longrightarrow a = 6 , -10 \\\)

__________________________

4) |8a|/10 = 2

\(\longrightarrow |8a| = 20 \\\)

\(\longrightarrow 8a =\pm 20\\\)

\(\longrightarrow a =\pm\dfrac{20}{8} \\\)

\(\longrightarrow a = \pm\dfrac{5}{2} \\\)

___________________________

5)|-m+9| = 13

\(\longrightarrow -m+9 =\pm 13\\\)

\(\longrightarrow m -9 =\pm 13\\\)

\(\longrightarrow m = 13-9\ or \ -13-9\\\)

\(\longrightarrow m = 4 , -22\\\)

____________________________

6)|7-5x|=27

\(\longrightarrow 7-5x =\pm 27 \\\)

\(\longrightarrow 5x -7 =\pm 27\\\)

\(\longrightarrow 5x = 27 +7 \ or \ -27+7 \\\)

\(\longrightarrow 5x = 34 \ or -20 \\\)

\(\longrightarrow x =\dfrac{34}{5}, -4\\\)

_____________________________

7)|2x+7|/5=5

\(\longrightarrow |2x+7|=25\\\)

\(\longrightarrow 2x +7 =\pm 25 \\\)

\(\longrightarrow 2x = 25-7 \ or \ -25-7\\\)

\(\longrightarrow 2x = 18 \ or \ -32\\\)

\(\longrightarrow x = 9 , -16 \\\)

And we are done!

If Mira had spent the same total amount of time but an equal amount of time on each problem, each problem would have taken around 2.36 minutes.

In the given plot, Mira spent varying amounts of time on each of the 55 math problems. To find out how many minutes each problem would have taken if Mira had spent an equal amount of time on each problem, we need to calculate the total time she spent and divide it by the number of problems.

Looking at the plot, we can estimate the total time Mira spent by counting the dots above each tick mark and multiplying them by the corresponding time interval. Let's break it down step by step:

The tick marks on the plot are at 7, 7.5, 8, 8.5, 9, 9.5, and 10 minutes per problem.

There are 2 dots above the unlabeled tick mark between 8 and 8.5 minutes per problem. We can assume it represents 8.25 minutes.

There are 3 dots above the 9.5 minutes per problem tick mark.

Now, let's calculate the total time Mira spent:

(7 * 2) + (7.5 * 2) + (8 * 2) + (8.25 * 2) + (9 * 2) + (9.5 * 3) + (10 * 2) = 129.5 minutes.

Since Mira spent a total of 129.5 minutes on 55 problems, each problem would have taken approximately 2.36 minutes (rounded to two decimal places) if she had spent an equal amount of time on each problem.

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\(f(x) = - 3 {x}^{2} + 9x - 8 \\ = > f(5) = - 3 {(5)}^{2} + 9(5) - 8 \\ = - 3(25) + 45 - 8 \\ = - 75 + 45 - 8 \\ = - 38\)

The answer is -38.

A graph of the given piecewise-defined function is shown in the image below.

In Mathematics and Geometry, a piecewise-defined function simply refers to a type of function that is defined by two (2) or more mathematical expressions over a specific domain.

Generally speaking, the domain of any piecewise-defined function simply refers to the union of all of its sub-domains. By critically observing the graph of this piecewise-defined function, we can reasonably infer and logically deduce that it is constant over several intervals or domains such as x > 2 and x < -2.

In conclusion, this piecewise-defined function has a removable discontinuity.

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Answer:

The expected value for this game is -$0.75, indicating that, on average, players would expect to lose $0.75 per game.

Step-by-step explanation:

Expected Value = (Probability of Winning * Payout for Win) - Cost of Playing

In this case:

Probability of Winning = 0.05

Payout for Win = $5

Cost of Playing = $1

Expected Value = (0.05 * $5) - $1

Expected Value = $0.25 - $1

Expected Value = -$0.75

Answer:

The answer is in the picture.

Step-by-step explanation:

By hand, you can factor it. I did it on a website called Cymath.

Answer:

3x(y - 3)(y + 1)

Step-by-step explanation:

Factor 3x out of 3xy^2

Factor 3x out of -6xy

Factor 3x out of -9x

Factor 3x out of 3x(y^2)+3x(-2y)

Factor 3x out of 3x(y^2-2y) + 3x(-3)

Answer:

-------------------------

Initial value of the toy is €450.

After 10% increase the value is:

After further 10% decrease the value becomes:

The final value of the toy is €445.50.

linear equation

An equation with a maximum power of 1 for a variable is called a linear equation.

How to form a linear equation based on a given situation?

The total number of paid holidays is y.

Also, let x be the number of years Mara worked for the company.

4 days of fixed paid vacation. The additional number of years of paid leave is 3 days.

So, the linear equation that forms is

y = 3x + 4... (1)

Five years from now, how many days of paid vacation will she take?

Substitute the value of x = 5 into equation (i).

y = 3(5) + 4

y = 15 + 4

y = 19

Mara therefore has 19 days of paid leave after her five years of service.

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Answer:

d = 3.2

Step-by-step explanation:

1 * 3.2 = 3.2

Hence,

d = 3.2

Molly has to walk for 16/x minutes where x is the speed of molly.

Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time

Given here molly needs to cross a river 16 feet then let her speed be x and t be the time taken to cross the river

Then we have x=16/t

                        t=16/x

Hence, Molly has to walk for 16/x minutes where x is the speed of molly.

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Answer:

25

Step-by-step explanation:

Answer:

25

Step by step explanation:

Hey

Using the quadratic formula to solve the equation x²-3x+ 5 = 0, the resultant answer is (D) 3+√11/2 and 3-√11/2.

The quadratic formula in elementary algebra is a formula that yields the answer to a quadratic problem.

In addition to the quadratic formula, other methods of solving quadratic equations include factoring, completing the square, graphing, and others.

A second-order equation of the form ax² + bx + c = 0 denotes a quadratic equation, where a, b, and c are real number coefficients and a 0.

So, we have the equation:

x²-3x+ 5 = 0

Now, solve it using the quadratic formula as follows:

x²-3x+ 5 = 0

a = 1

b = -3

c = 5

x = -(-3)±√(-3)² -4*1*5/2

Solve this further:

x = 3±√11/2

Therefore, using the quadratic formula to solve the equation x²-3x+ 5 = 0, the resultant answer is (D) 3+√11/2 and 3-√11/2.

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Correct question:

Solve x²-3x+ 5 = 0.

A.3+√-29 +VE/2 and 3- 2-29

B. 3+√29 and 3-√29

C. 3+√-11 and 3-√-11/2

D. 3+√11/2 and 3-√11/2

Matrices are a type of data structure that can be used to represent and manipulate data in a variety of ways.

One way to use matrices to represent data is to store the data in the form of a matrix. For example, a matrix could be used to represent a table of values, where each row represents a different data point and each column represents a different attribute or feature of the data.

Matrices can also be used to manipulate data by performing mathematical operations on the matrix elements. For example, matrices can be added, subtracted, and multiplied to perform operations such as matrix addition, matrix subtraction, and matrix multiplication. These operations can be used to perform various types of data manipulation, such as combining data from different sources, transforming data, or calculating statistics.

In addition to performing mathematical operations, matrices can also be used to store and manipulate data in other ways. For example, matrices can be used to represent and manipulate images and other types of data that have a two-dimensional structure. Matrices can also be used to represent and manipulate data in higher dimensions, such as data with a three-dimensional structure.

Overall, matrices are a powerful tool for representing and manipulating data in a variety of contexts, and they are widely used in a range of fields including mathematics, computer science, engineering, and data analysis.

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Matrices are a type of data structure that can be used in a variety of ways to represent and manipulate data.

One method for utilizing grids to address information is to store the information as a framework. A table of values, for instance, could be represented by a matrix, with each row representing a distinct data point and each column representing a distinct attribute or feature of the data.

The plural form of a matrix, a rectangular array or table in which numbers or elements are arranged in rows and columns, is referred to as a matrices. They can have as many columns and rows as you want. Matrix operations include addition, scalar multiplication, multiplication, transposition, and others.

When performing these matrix operations, certain rules must be followed. For example, they can only be multiplied if the first and second columns are exactly the same, and they can only be added or subtracted if they have the same number of rows and columns.

Matrices can also be used to manipulate data by performing mathematical operations on the matrix elements. For example, matrices can be added, subtracted, and multiplied to perform operations such as matrix addition, matrix subtraction, and matrix multiplication. These operations can be used to perform various types of data manipulation, such as combining data from different sources, transforming data, or calculating statistics.

In addition to performing mathematical operations, matrices can also be used to store and manipulate data in other ways. For example, matrices can be used to represent and manipulate images and other types of data that have a two-dimensional structure. Matrices can also be used to represent and manipulate data in higher dimensions, such as data with a three-dimensional structure.

In general, matrices are extensively utilized in a variety of fields, including mathematics, computer science, engineering, and data analysis. They are a powerful tool for representing and manipulating data in a variety of contexts.

Hence the matrices be used to represent and manipulate data.

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Answer:

x^2

Step-by-step explanation:

1^2=1

2^2=4

3^2=9