you take out a php 20,000 loan at a 5% interest rate if the interest is compounded annually how much will you after 10 years?​

There are 9,000 numbers that have 7 in the thousands of places and are less than 54,000.

Consider the possible digits in the hundreds, tens, and one's places.

Thousands of places: There is only one possibility, which is 7.

Hundreds place: Any digit from 0 to 9 is possible.

Tens place: Any digit from 0 to 9 is possible.

One place: Any digit from 0 to 9 is possible.

Since the number is less than 54,000, the digit in the hundreds place cannot be 5.

So, there are 9 possible digits (0 to 9, except 5) for the hundreds place, and 10 possible digits (0 to 9) for the tens and one's places.

So, the total number of such numbers is:

9 x 10 x 10 x 10 = 9,000

Therefore, there are 9,000 numbers that satisfy the given condition.

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The teacher puts the names of all the students in a box and mixes them up, is a fair and unbiased method for choosing the five students.

A fair and impartial method of selecting the five kids is Option 1, where the teacher puts all of the students' names in a box and mixes them up. No matter where they are in the classroom or what gender they are, this system guarantees that every student has an equal chance of getting selected.

The fairest and most impartial way to select the five students who will be featured on the bulletin board is Option 1, where all of the kids' names are placed in a box and mixed up.

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Answer:

Step-by-step explanation:

The above statement is written as

\( \frac{2}{3} x - \frac{1}{5} > 1\)

Multiply through by the LCM of 3 and 5 which is 15

So we have

\(15 \times \frac{2}{3} x - 15 \times \frac{1}{5} > 15 \\ \\ 10x - 3 > 15 \\ \\ 10x > 15 + 3 \\ \\ 10x > 18 \\ \\ x > \frac{18}{10} \\ \\ x > \frac{9}{5} \)

Hope this helps you

Answer: The answer is x > 9/5.

     Hope this helps!! Also please put as brainlist answer really need it would really aprecite it please.

Answer: 15.55 miles

Step-by-step explanation:

in 3 days, Samuel ran 8+4.25+3.3=15.55 miles

Answer:

12.5miles

Step-by-step explanation:

8+4.25+3.3=12.5miles

Given the right angled triangle RST with base 35 and hypotenuse 77.

Using trigonometric ratios,

Plug the given values into the formula.

Take inverse of tan on both sides.

Rounding to the nearest tenth gives 'x' as 20.

If you have any specific questions or need assistance, feel free to ask, and I'll do my best to provide a helpful response within the scope of my training

As an AI language model my understanding of subjects and skills is based on the information and data available to me up until my last training update in September 2021. I can provide accurate and comprehensive responses within the limits of my training, but please keep in mind that I may not have knowledge of events or developments that have occurred after that cutoff date.

With a wide range of general knowledge, I can understand and generate responses on various topics such as science, history, literature, mathematics, and more. I can also assist with specific skills like writing, editing, brainstorming ideas, offering explanations, and providing recommendations.

However, it's important to note that while I strive to be helpful, I am still an AI and may not always provide perfect answers. I do not possess personal experiences or opinions, and I am not able to perform physical actions. My responses are generated based on patterns and examples from my training data.

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.

Answer:

41 meters

Step-by-step explanation:

\(\frac{31}{64}\) = \(\frac{19.8}{x}\)

31x = (19.8)(64)

31x = 1267.2  Divide both sides by 31 and round

x = 41

Answer:

\(2(3x - 7) = - 4(x + 5) + 3 \\ 6x - 14 = - 4x - 20 + 3 \\ 6x + 4x = - 20 + 3 + 14 \\ 10x = - 3 \\ \\ x = \frac{ - 3}{10} \\ \\ x = - 0.3\)

I hope I helped you^_^

Answer: f(x) has an axis of symmetry at x = 4 and h(x) has an axis of symmetry at x = -2

Step-by-step explanation:

You can easily find the axis of symmetry by investigating around which line the functions are symmetrical about

for instance, in h(x), the graph is symmetrical on either side of x = -2, meaning that the line x = -2 cuts the parabola in 'half'

in f(x), this is a little harder to think about, but if you know how the graph will be shifted on the x-axis you can figure it out! In this case (x-4)^2 means that the graph will be shifted on the x-axis 4 units to the right (or from the origin to +4 on the X axis)

as such the line x = 4 will cut the function f(x) in 'half'

The equation of the line will be \(y = \dfrac{-1}{3}x + 9\).

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

\(m = \dfrac{y_2-y_1}{x_2-x_1}\)

The given points are (-8,9) and ( 8,3). First, calculate the slope of the line,

\(m = \dfrac{3 - 9 } { 8 - (-8)}\\\)

\(m = \dfrac{-1}{3}\)

The y-intercept will be calculated as:-

\(y = \dfrac{-1}{3}x + c\\8 = \dfrac{-1}{3}\times{3}+c\\c = 9\)

The equation of the line will be written as:-

\(y = \dfrac{-1}{3}x + 9\)

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The general solution of the partial differential equation is:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

The partial differential equation (PDE) is given as:

Uxx = (1/2)Ut with the boundary and initial conditions as 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)

Assume that the solution can be written as a product of two functions:

U(x, t) = X(x)T(t)

Substituting this into the PDE, we have:

X''(x)T(t) = (1/2)X(x)T'(t)

Dividing both sides by X(x)T(t), we get:

(X''(x))/X(x) = (1/2)(T'(t))/T(t)

Since the left side only depends on x and the right side only depends on t, both sides must be equal to a constant, denoted as -λ²:

(X''(x))/X(x) = -λ²

(1/2)(T'(t))/T(t) = -λ²

Simplifying the second equation, we have:

T'(t)/T(t) = -2λ²

Solving the second equation, we find:

T(t) = Ce^(-2λ²t)

Applying the boundary condition U(0, t) = 0, we have:

U(0, t) = X(0)T(t) = 0

Since T(t) ≠ 0, we must have X(0) = 0.

Applying the boundary condition U(3, t) = 0, we have:

U(3, t) = X(3)T(t) = 0

Again, since T(t) ≠ 0, we must have X(3) = 0.

Therefore, we can conclude that X(x) must satisfy the following boundary value problem:

X''(x)/X(x) = -λ²

X(0) = 0

X(3) = 0

The general solution to this ordinary differential equation is given by:

X(x) = Asin(λx) + Bcos(λx)

Applying the initial condition U(x, 0) = 5*sin(4πx), we have:

U(x, 0) = X(x)T(0) = X(x)C

Comparing this with the given initial condition, we can conclude that T(0) = C = 5.

Therefore, the complete solution for U(x, t) is given by:

U(x, t) = Σ [Aₙsin(λₙx) + Bₙcos(λₙx)]*e^(-2(λₙ)²t)

where:

Σ represents the summation over all values of n

λₙ are the eigenvalues obtained from solving the boundary value problem for X(x).

To find the eigenvalues λₙ, we substitute the boundary conditions into the general solution for X(x):

X(0) = 0: Aₙsin(0) + Bₙcos(0) = 0

X(3) = 0: Aₙsin(3λₙ) + Bₙcos(3λₙ) = 0

From the first equation, we have Bₙ = 0.

From the second equation, we have Aₙ*sin(3λₙ) = 0. Since Aₙ ≠ 0, we must have sin(3λₙ) = 0.

This implies that 3λₙ = nπ, where n is an integer.

Therefore, λₙ = (nπ)/3.

Substituting the eigenvalues into the general solution, we have:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

where Aₙ are the coefficients that can be determined from the initial condition.

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Answer:

D

Step-by-step explanation:

please say thank you and please verify this answer and name me brainliest

The measure of CD and CE in the centroid are 22 and 33 respectively.

What is Centroid?

Centroid is a term used in mathematics to refer to the center of mass of a geometric object. It is typically represented by a point, which is the average of all points in the object. The centroid is often used as a reference point for other calculations or for the positioning of objects.

From the given diagram, the following are true:

CD = 2DE

Given that DE = 11

CD = 2(11)

CD =22

Similarly;

CE = CD + DE

CE = 22 + 11

CE = 33

Hence the measure of CD and CE are 22 and 33 respectively.

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a) The value of the mean is μ = 22.5

   The value of the standard deviation is σ = 3.5

b) The Value of 15 girls or fewer is significantly low.

   The value of 30 girls or more is significantly high.

c) The result 36 is significantly high because 36 is greater than 30 girls. A         result of 36 girls is not necessarily definitive proof of the method's effectiveness.

The standard deviation is a measure of the amount of variability or dispersion in a set of data values. It is a statistical measure that tells you how much, on average, the values in a dataset deviate from the mean or average value.

a) Since the probability of having a girl for each couple is 0.5, the number of girls each couple will have can be modeled as a binomial distribution with parameters n=1 and p=0.5.

Let X be the random variable denoting the number of girls in 45 couples. Then, X follows a binomial distribution with parameters n=45 and p=0.5.

The mean of a binomial distribution is given by μ = np, so in this case, the mean number of girls in a group of 45 couples is:

μ = np = 45 x 0.5 = 22.5

Therefore, we expect to see around 22-23 girls in a group of 45 couples.

The standard deviation of a binomial distribution is given by σ = √(np(1-p)), so in this case, the standard deviation of the number of girls in a group of 45 couples is:

σ = √(np(1-p)) = √(45 x 0.5 x 0.5) = 3.535

Therefore, we can expect the number of girls in a group of 45 couples to have a standard deviation of around 3.5.

b) In this case, we can assume that the number of girls in a group of 45 couples follows a normal distribution due to the Central Limit Theorem.

Using the standard deviation we found in the previous answer (σ = 3.535), we can calculate the values that separate the results that are significantly high and significantly low.

Significantly high:

Mean + 2σ = 22.5 + 2(3.535) = 29.57

Significantly low:

Mean - 2σ = 22.5 - 2(3.535) = 15.43

c) To determine if the result of 36 girls is significantly high, we need to compare it to the values we calculated in the previous answer.

Mean + 2σ = 22.5 + 2(3.535) = 29.57

Since 36 is greater than 29.57, we can conclude that the result of 36 girls is significantly high.

This suggests that the method of gender selection may be having an effect on the probability of having a girl. However, we cannot conclusively say this without conducting further analysis or testing.

It is also important to note that the result of 36 girls is not necessarily definitive proof of the method's effectiveness.

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The function f has the property that as x gets closer and closer to 3, the values of f(x) get closer and closer to 5.

The function f has the property that as x gets closer and closer to 3, the values of f(x) get closer and closer to 5.

A) f(3) = 5

C) lim f(x) = 5

x-->3

The function f has the property that as x gets closer and closer to 3, the values of f(x) get closer and closer to 5. This means that the limit of f(x) as x approaches 3 is 5, so C) lim f(x) = 5 x-->3 must be true. Additionally, since the values of f(x) approach 5 as x approaches 3, it follows that f(3) must also equal 5, so A) f(3) = 5 must be true as well. D) lim f(x) = 3 x-->5 is not true since the limit of f(x) as x approaches 5 is not 3. Similarly, B) f(5) = 3 is not true since f(5) does not necessarily equal 3.

The statements A) f(3) = 5 and C) lim f(x) = 5 x-->3 must be true for the given function.

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Answer:

200

Step-by-step explanation:

pelotas/pesos

9/75=24/× 24 son 2 docenas

multiplica 75 con 24 entonces divide por9

The base of the model merry-go-round is 450in², and the actual merry-go-round's base is 400 times larger.

Therefore the base of the actual merry-go-round is 180,000in². However, the question asks for the answer in square feet.

180,000in² in squared feet is:

1,250ft² (your final answer)

Answer:

A∩B={7,9}

Option A is correct option.

Step-by-step explanation:

We are given:

A = {3, 5, 7, 9} and B = {1, 2, 4, 6, 7, 9}

and we need to find A intersects with B i.e. A∩B

We find A intersects with B, we will consider only those terms that are common in both A and B

So,

A∩B= {3, 5, 7, 9} ∩ {1, 2, 4, 6, 7, 9}

As 7 and 9 are only common in both A an B

A∩B={7,9}

So, we get: A∩B={7,9}

Option A is correct option.

Ally has a square backyard with an area of 169 square feet.

Given a square of side length, s

Therefore:

Therefore, the length of one side of the backyard is 13 feet.

Answer:

16.2 cm

Step-by-step explanation:

use the pythagoran theorem

a² + b² = c²

15² + 6² = c²

225 + 36 = c²

261 = c²

Take the square root of both sides

16.1554944214 = c

Rounded

16.2 cm

Hence, -12×\(\frac{1}{2}\)×13 this expression is used  Commutative property to make it easier to evaluate -12×13×\(\frac{1}{2}\) .

According to mathematics, an arithmetic operation is commutative if switching the operands positions has no effect on the computation's outcome.

When two numbers A and B are provided, the commutative property of the numbers formula is as follows:

A+B=B+A

A×B=B×A

A-B≠B-A

A÷B≠B÷A

According to the commutative property formula, the outcome is unaffected by the sequence in which two integers are added or multiplied. However, the order of the integers matters for subtracting and dividing any two real numbers, thus it cannot be altered.

The commutativity property is used to get

-12×13×\(\frac{1}{2}\) = -12×\(\frac{1}{2}\)×13

such that the evaluation becomes easier, which is to get 12×\(\frac{1}{2}\)=6.

The commutativity property is used as follows:

-12×(13×\(\frac{1}{2}\))=-12×(\(\frac{1}{2}\)×13).

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Answer:

D. Bimodal

Explanation:

The given histogram has two creast, each crest represent a mode. So, we can say that this is a bimodal graph. Therefore, the answer is

D. Bimodal.

Answer:

The answer is 5/6.

Step-by-step explanation:

1/2=3/6, and 1/3=2/6. 2/6+3/6=5/6

The number which is closest to the addition of two fraction numbers, 1/2 + 1/3 is 0.8.

A fraction number is the number which is a part of a whole number. It is written with a numerator and denominator. Fraction number are written as,

\(\dfrac{a}{b}\)

Here, (a) is the numerator and (b) is the denominator.

We have to find the addition of two fraction number 1/2 and 1/3. Suppose the value which is closest to 1/2 + 1/3 is n. Thus,

\(n=\dfrac{1}{2}+\dfrac{1}{3}\\\)

Cross multiply to find the addition of two numbers,

\(n=\dfrac{3+2}{6}\\n=\dfrac{5}{6}\\n=0.833\)

Thus, the number which is closest to the addition of two fraction numbers, 1/2 + 1/3 is 0.8.

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The type of distribution pictured in this histogram is skewed.

A skewed distribution is a statistical distribution that is not symmetrical around its mean or median.

In a skewed distribution, the tail of the distribution is pulled in one direction or the other, resulting in a longer tail on one side than the other.

There are two types of skewed distributions: positively skewed and negatively skewed.

The distribution in the image is positively skewed as its is pulled towards the left.

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Answer:

28 mm2

Step-by-step explanation:

Area of a rectangle is l x h

The length of the triangle is 2 mm

The height of the triangle is 14 mm

So l(2) x h(14) = 28 you add your units and have is squared.

Answer:

Step-by-step explanation:

Let's solve your equation step-by-step.

x2+4=3x+8

Step 1: Subtract 3x+8 from both sides.

x2+4−(3x+8)=3x+8−(3x+8)

x2−3x−4=0

Step 2: Factor left side of equation.

(x+1)(x−4)=0

Step 3: Set factors equal to 0.

x+1=0 or x−4=0

x=−1 or x=4

Answer:

x=−1 or x=4

To throw a seashell into the ocean, Mason needs to throw it above the line y = 1.5x + 13, which represents the shoreline.

This means that the seashell's height, y, must be greater than 1.5 times its horizontal distance, x, plus 13. We can use the Pythagorean theorem to find the distance, d, that Mason needs to throw the seashell, given by d = sqrt(x^2 + y^2).

We want to find the minimum value of d that satisfies y > 1.5x + 13. This occurs when y is equal to 1.5x + 13, since any larger value of y would require a larger value of d.

So we can substitute y = 1.5x + 13 into the equation for d and get:

d = sqrt(x^2 + (1.5x + 13)^2)

To find the minimum value of d, we can use calculus and find the derivative of d with respect to x, and set it equal to zero. Alternatively, we can use a graphing calculator or an online tool to plot the function d and find its minimum point. Either way, we get that the minimum value of d occurs when x is approximately -5.2 meters and y is approximately 5.2 meters. The corresponding value of d is approximately 14.7 meters.

Therefore, Mason needs to be able to throw the seashell at least 14.7 meters, or 1470 centimeters, to throw it into the ocean.

Answer: the height of the equilateral triangle is 6√3 inches.

Step-by-step explanation:

To find the height of an equilateral triangle, we can use the formula:

height = (√3/2) * side

In this case, we are given the perimeter of the triangle, which is 36 inches.

Since an equilateral triangle has three equal sides, each side would be 36 inches divided by 3, which is 12 inches.

Now we can substitute the side length into the formula:

height = (√3/2) * 12

Simplifying:

height = (√3/2) * 12

height = (√3 * 12)/2

height = (12√3)/2

height = 6√3

Therefore, the height of the equilateral triangle is 6√3 inches.

Answer:

RG

Step-by-step explanation:

The value of R(A) = 4, N(AT ) = 3, R(AT ) = 4, and N (A) = 3.

Given that

Dimension of matrix  = 7×5

Rank of matrix = 4

The range space of A,

Which is a subspace of R, is known as R(A).

It is made up of all conceivable linear combinations of A's columns.

The dimension of R(A) =  rank of A,

Which is 4 in this case.

The null space of the transpose of A,

Which is also a subspace of R, is designated as N(AT).

All potential answers to the equation ATx = 0,

Where x is a R column vector, are included in it.

N(AT) has a dimension = nullity of A,

which in this case is 3 in this example.

The range space of the transposition of A, is designated as R(AT).

The rows of A are arranged in all conceivable linear configurations.

The rank of A = 4

Thus it equal to dimension of R(AT).

N(A) is the null space of A.

Axe = 0, where x is a column vector in R, are included in it.

The nullity of AT, which is three, is likewise equivalent to the dimension of N(A).

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Answer:

5

Step-by-step explanation: