1. Ina deposited $9,000 with a bank in a 10-year certificate of deposit yielding 5% compounded daily. Find the compound amount.
$12,771.18
$16,123.02
$14,837.98
$23,837.98

The rate of markdown is approximately 0.6127, indicating a markdown of about 61.27%. The markdown amount is $18.90.

To find the rate of markdown and the markdown amount, we can use the formula:

Rate of Markdown = (Regular Selling Price - Selling Price) / Regular Selling Price

Rate of Markdown = ($30.90 - $12.00) / $30.90

Rate of Markdown = $18.90 / $30.90

Rate of Markdown ≈ 0.6127

To calculate the markdown amount, we can subtract the selling price from the regular selling price:

Markdown = Regular Selling Price - Selling Price

Markdown = $30.90 - $12.00

Markdown = $18.90

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complete question
Find the rate of markdown and the markdown.

Regular selling price $30.90

selling price $12.00

Answers:

Functions

Not functions

=======================================================

Explanation:

A function is possible if and only if any given x input leads to exactly one y output.

For something like x^2+y^2 = 81, we can see that x = 0 leads to either y = 9 or y = -9. So this would not be a function. We would need x to pair with only y value to have it be a function.

We have the same thing going on with y^2 = -5x-12 as well.

For anything of the form x = k, where k is any real number, this is also not a function. We have one single input only and it leads to infinitely many outputs. So in a sense, this is even worse compared to the other examples.

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

In summary, we have these three non-functions:

Everything else is a function. You can use the vertical line test as a visual way to check.

Answer:

  f(2) = 9(2) and f(0) = g(0)

Step-by-step explanation:

As in the expression f(x) = g(x), the values in parentheses need to be the same for both f( ) and g( ). That is only the case for the first answer choice.

Answer:

See attached image

Step-by-step explanation:

You can graph lines on a website called desmos graphing calculator!

Answer:

Step-by-step explanation:

you replace x with anything you want I will do 0. Then the the first point is (0,-4). Now I am gonna replace x with something else like 4. The second point is (4,8), now connect the two points and you got a line.

7) Angles around a point add to 360 degrees, so b = 23.

8) Angles that form a linear pair add to 180 degrees, so b = 131.

9) Vertical angles are equal, so b = 90.

10) Vertical angles are equal, so b = 73.

Answer:

B=30mm

Step-by-step explanation:

According to the Question,

we have,  A parallelogram that has one side(A) 5 millimeters and the other side(C) 10 millimeters. A larger parallelogram has side one side(D) 15 millimeters.

The Enlargement Parallelogram And Original Parallelogram Sides Ratio Remain the same.

Therefore, A/C = D/B

5/10 = 15/B

B=150/5

B=30mm

Answer:

The distance around a circle on the other hand is called the circumference (c).

Step-by-step explanation:

A straight line that passes from one side of a circle to the other through the center is called the diameter. The distance around the outside of a circle is called the circumference. All points on the edge of a circle are the same distance to the center.

The length of the outside of a circle is called the "circumference."

The circumference is the total distance around the outer boundary of the circle.

The distance cover while completing one full lap around the track is equivalent to the circumference of the circle.

The formula to calculate the circumference (C) of a circle is:

C = πd

where π (pi) is a mathematical constant equal to 3.14159, and d represents the diameter of the circle.

The formula for circumference in terms of the radius is:

C = 2πr

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Answer:

Collinear points are points that lie on a line. Any two points are always collinear because you can always connect them with a straight line. Three or more points can be collinear, but they don't have to be. … Any two or three points are always coplanar

Step-by-step explanation:

Answer:

They could be on different lines or on no line, but in the same plane.

Step-by-step explanation:

Hope This Helps!!

(brainliest please, if possible)

Answer:

a..

Step-by-step explanation:

yes the interest  will be much less than total than the account

The answer is not reasonable because the interest will be much less than the total in the account.

In order to determine if the answer is reasonable, we have to determine the simple interest that would be earned and the total amount in the account.

Simple interest = amount deposited x time x interest rate

$900 x 0.045 x 3 = $121.50

The total amount in the account in three years = amount deposited + interest earned

$900 + $121.50 = $1021.50.

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The resistance of each bulb that is connected in series with a 110 V line is 24.55 Ω with a 13.75 V Voltage difference across each bulb. The power dissipated in each bulb is 7.7 W, if 0.56 A current flows through them.

The voltage across 8 identical bulbs is 110 V

Since they are connected in a series and identical, the Voltage difference across each bulb is \(\frac{110}{8}\) V which is 13.75 V

According to the question,

The current flowing through the bulb = 0.56 A

So according to Ohm's Law,

V = IR

13.75 = 0.56 * R

R = 24.55 Ω

The power dissipated in each bulb can be calculated as

P = VI

P = 13.75 * 0.56 = 7.7 W

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In summary, the voltage across each bulb is 13.75V, the resistance of each bulb is 24.55Ω, and the power dissipated in each bulb is 7.7W.

When eight identical lights are connected in series across a 110-V line, the voltage across each bulb will be 110/8 = 13.75 V.
To find the resistance of each bulb, we can use Ohm's law, which states that resistance is equal to voltage divided by current (R = V/I). Therefore, the resistance of each bulb is 13.75/0.56 = 24.55 ohms.
To find the power dissipated in each bulb, we can use the formula P = VI, where P is power, V is voltage, and I is current. Therefore, the power dissipated in each bulb is 13.75 x 0.56 = 7.7 watts.
To find the voltage across each bulb, divide the total voltage by the number of bulbs:

Voltage across each bulb = Total Voltage / Number of Bulbs = 110V / 8 = 13.75V per bulb

Next, use Ohm's Law to find the resistance of each bulb:

Resistance (R) = Voltage (V) / Current (I) = 13.75V / 0.56A = 24.55Ω per bulb

Finally, find the power dissipated in each bulb using the formula:

Power (P) = Voltage (V) x Current (I) = 13.75V x 0.56A = 7.7W per bulb

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Answer:

31.25 kg of flour is needed to make 50 cakes

Step-by-step explanation:

A 2.5-kg bag of flour contains enough flour to make 4 cakes. a) How much flour is needed to make 50 cakes?

We can find it by using unitary method i.e first find quantity of flour needed for 1 cake and then we can find quantity of flour needed for 50 cakes.

Flour needed to make 4 cakes = 2.5 kg

Flour needed to make 1 cake = \(\frac{2.5}{4}\) kg

Flour needed to make 50 cakes = \(\frac{2.5}{4}\times 50\)

                                                      = 31.25 kg

So, 31.25 kg of flour is needed to make 50 cakes

We first load the data from the CSV file and extract the numeric columns for analysis. We then standardize the data to have zero mean and unit variance, which is necessary for PCA.

An example implementation of principal component analysis (PCA) using Python and the NumPy library:

import numpy as np

import pandas as pd

# load data from CSV file

data = pd.read_csv('food-consumption.csv')

# extract numeric columns for analysis

numeric_data = data.iloc[:, 1:]

# standardize the data to have zero mean and unit variance

mean = np.mean(numeric_data, axis=0)

std_dev = np.std(numeric_data, axis=0)

standardized_data = (numeric_data - mean) / std_dev

# calculate the covariance matrix

cov_matrix = np.cov(standardized_data, rowvar=False)

# calculate the eigenvalues and eigenvectors of the covariance matrix

eigenvalues, eigenvectors = np.linalg.eig(cov_matrix)

# sort the eigenvalues in descending order and arrange the corresponding eigenvectors accordingly

sorted_indices = np.argsort(eigenvalues)[::-1]

sorted_eigenvalues = eigenvalues[sorted_indices]

sorted_eigenvectors = eigenvectors[:, sorted_indices]

# choose the number of principal components to keep

num_components = 2

# select the top num_components eigenvectors to form the transformation matrix

transformation_matrix = sorted_eigenvectors[:, :num_components]

# transform the data into the new feature space

transformed_data = np.dot(standardized_data, transformation_matrix)

# print the variance explained by each principal component

variance_explained = sorted_eigenvalues / np.sum(sorted_eigenvalues)

print('Variance explained by each principal component:', variance_explained[:num_components])

# print the transformed data

print('Transformed data:', transformed_data)

This is just an example implementation of PCA and can be modified to suit your specific needs. Also, other packages such as scikit-learn or MATLAB can be used for PCA instead of implementing it from scratch.

A CSV (Comma Separated Values) file is a plain text file that stores tabular data in a simple and lightweight format. It consists of a series of lines, each representing a row of the table, with values separated by commas. Typically, the first row of a CSV file contains headers that describe the columns, while the subsequent rows contain data.

CSV files are widely used for data exchange and integration between different software systems, as they can be easily generated and parsed by a variety of programming languages and tools. Despite their simplicity, CSV files can store a wide range of data types and structures, including numeric, text, and date/time values, as well as arrays and nested structures.

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Answer:

17/13

Step-by-step explanation:2

27−13h=10

subtract 27 from both sides of the equation.

simplify. Divide both sides of the equation by the same term

Simplify and you get 17/13. in decimal form its 1.3077. i hope this is correct and helps you <33. follow me if you ever need more answers!!

That's the answer i hope it helps you

The choice correctly compares the volumes, in milliliters of two of these liquids is,

⇒ 1.078 < 1.23

We have to given that;

A scientist listed the volumes, in milliliters, of some liquids used in an experiment.

1.23

1.078

1.203

1.17

Now, We get;

By all the options;

⇒ 1.078 < 1.23

Thus, The choice correctly compares the volumes, in milliliters of two of these liquids is,

⇒ 1.078 < 1.23

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Answer: 486 glasses of water in 9 weeks

Step-by-step explanation:

54 X 9 = 486

Or you could add 54 to itself 9 times then you will get 486

The gross income for selling 348 bushels of apples at $16.50 per bushel is $5,732.

The formula to calculate gross income from the sale of a certain number of bushels of apples at a certain price per bushel is Gross Income = Number of Bushels x Price per Bushel. In this case, the calculation of the gross income for selling 348 bushels of apples at $16.50 per bushel would be Gross Income = 348 Bushels x $16.50/Bushel = $5,732.

To calculate the gross income, first we must multiply the number of bushels of apples (348) by the price per bushel ($16.50). When multiplied, the numbers result in $5,732. This means that, when selling 348 bushels of apples at $16.50 per bushel, the gross income would be $5,732.

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The value of x that satisfies the equation (1 + x) / x = √5 is (1 + √5) / 4.

What is the rational numbers?

A rational number is a number that can be written as a fraction, is a whole number, is a decimal that stop or is a repeating decimal.

Starting with the equation:

(1 + x) / x = √5

We can first multiply both sides by x to eliminate the fraction:

1 + x = x√5

Next, we can isolate the x term on one side of the equation and all the other terms on the other side:

x√5 - x = 1

Factor out the x on the left side:

x(√5 - 1) = 1

Finally, divide both sides by (√5 - 1):

x = 1 / (√5 - 1)

To simplify this expression, we need to rationalize the denominator by multiplying the numerator and denominator by the conjugate of the denominator, which is (√5 + 1):

x = (1 / (√5 - 1)) * (√5 + 1) / (√5 + 1)

Simplifying the numerator by distributing:

x = (√5 + 1) / ((√5 - 1) * (√5 + 1))

The denominator simplifies to:

(√5 - 1) * (√5 + 1) = 5 - 1 = 4

Therefore:

x = (√5 + 1) / 4

Hence, the value of x that satisfies the equation (1 + x) / x = √5 is (1 + √5) / 4.

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Answer:

8 Goldfishes

Step-by-step explanation:

This Question tests on the concept of Ratio Conversion.

Ratios are proportional numbers that has a specific value assigned to their corresponding number of units.

Example: Max 3 : 4 Tyler

Max has 45 cards, 1 unit = 45 ÷ 3 = 15 cards, which means Tyler has 4 units = 15 × 4 = 60 cards.

In this question , we know that the ratio:

Guppies 1 : 2 Goldfish

We know that there are 4 guppies.

Which means:

1 Unit = 4

Therefore , number of Goldfish = 2 units = 2 × 4 = 8

Answer:

Step-by-step explanation:

20 seconds = 8 copies

so every 2.5 seconds, 1 page is made( 20sec/8 page = 2.5 page per second)

2.5 sec = 1 page

48 sec = x page

now you cross multiply, and that goes to: 2.5x = 48

isolate for x

x= 48/2.5

x= 19.2 but it says whole pages so you round down

x = 19 pages in 49 seconds

Answer:

D if it's not I do apologize

Answer:

yass

Step-by-step explanation: 5+1 = 6 <3 i need points-

The equation

Is in point intercept form

The general equation of point intercept form is given as

Comparing the two equations

This implies

Hence, the slope in the equation is -2

Also, by comparing the equations

Thus the point in the equation is (2, 1)

The general formula for the given alternating series in the form ∑n=1[infinity]an is:
∑n=1[infinity](-1)^(n+1) * 8^(2n+1)

The general formula for the alternating series provided, which is 83−84 85−86 ⋯, can be written in the form ∑n=1[infinity]an as follows:

1. Recognize that the series is alternating, meaning the signs of the terms switch between positive and negative.
2. Observe that the exponents of each term are consecutive integers, starting with 83.
3. Now, we can create the general formula using the summation notation:
  an = (-1)^(n+1) * 8^(2n+1)

4. Finally, write the formula using the summation notation:
  ∑n=1[infinity](-1)^(n+1) * 8^(2n+1)

So, the general formula for the alternating series 83−84 85−86 ⋯ is ∑n=1[infinity](-1)^(n+1) * 8^(2n+1).

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Check the picture below.

Make sure your calculator is in Degree mode.

The value of x° from the given triangle is 45°.

The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

In the given triangle, CD=2.8 and DE=2.9

We know that, tanθ= Opposite/Adjacent

Here, tan x°=2.9/2.8

tan x°= 1.035

tan x° ≈1

x° = 45°

Therefore, the value of x° is 45°.

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The number of people surveyed is 20

In statistics, the sample size is the value of the number of individual samples used in an experiment. For example, if we are testing 100 samples of people who play cricket, then the sample size will be equal to 100.  

If a point of estimation is available then the formula for sample size n is given by      

Sample size n = p(1 - p)[ \(Z_{\alpha /2}\)/ E ]²    

Where p is the point of estimation

\(Z_{\alpha /2}\) is the critical value

E is the margin of error        

Here we have

51​% of the people polled answered yes to the question​ "Are you in favor of the death penalty for a person convicted of​ murder?"

Here estimated point p = 51% = 0.51

The margin of error E = 22​% = 0.22

The estimate was made with 95​% confidence.  

Then the critical value  \(Z_{\alpha /2}\) = 1.96  

Here we need to find how many people were​ surveyed        

From the above observations,

n = p(1 - p)[ \(Z_{\alpha /2}\)/ E ]²            

=>  0.51 (1 - 0.51) [ 1.96 / 0.22 ]²            

=>  0.51 (0.49) [ 8.91 ]²

=>  0.51(0.49) (79.3718)

=>  19.83    

=> 20   (approximately )                          

Therefore, the number of people surveyed is 20

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The Complete question:

In a​ poll, 51​% of the people polled answered yes to the question​ "Are you in favor of the death penalty for a person convicted of​ murder?" The margin of error in the poll was 22​%, and the estimate was made with 95​% confidence. At least how many people were​ surveyed?

The minimum number of surveyed people was?

Answer:

There are so many ways! Do want me to help?

Step-by-step explanation:

Sierra and Keaton are both engaged in constructing inscribed shapes, but there is a notable difference in their construction steps. Sierra is constructing an inscribed square, while Keaton is constructing an inscribed regular hexagon.

In Sierra's construction, she begins by drawing a circle and then proceeds to find the center of the circle.

From the center, Sierra marks two points on the circumference, which serve as opposite corners of the square.

Next, she draws lines connecting these points to create the square, ensuring that the lines intersect at right angles.

On the other hand, Keaton's construction of an inscribed regular hexagon follows a distinct procedure.

He starts by drawing a circle and locating its center. Keaton then marks six equally spaced points along the circumference of the circle.

These points will be the vertices of the hexagon.

Finally, he connects these points with straight lines to form the regular hexagon inscribed within the circle.

Thus, the key difference lies in the number of sides and the specific geometric arrangement of the vertices in the shapes they construct.

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Algebra is used to solve the mathematical problems, the total amount spent by Andy on lunches in this week is equals to $195.

Algebra is the branch of mathematics that use in the representation of problems or situations in the form of mathematical expressions. Mathematical ( arithmetic) operations say multiplication (×), division (÷), addition (+), and subtraction (−) are used to form a mathematical expression.

We have, a data of amount spent by Andy on lunches in a week. Let the total amount spent by him in this week be "x dollars". Using algebra of mathematics, we can written as x = sum of amounts spent by him in whole week so, x = $50 + $20 + $10 + $25 + $25 + $15 + $50 = $195

Hence, required total amount value is $195.

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Complete question:

Andy spent the following amounts on lunches this week,

day. amount

Sunday $50

Monday. $20

Tuesday $10

Wednesday $25

Thursday $25

Friday $15

Saturday $50

Calculate total amount he spent in this week.