The original price of a bicycle was $100.00. In March, a bicycle went on sale for 10% off. In April, the sale price was raised by 10%. What is the price of the bicycle in April? Write just the value that represents your answer.

Answer:

i think it is area of first triangle +area of rectangle + area of third triangle

The midpoint of segment YZ is (-a, -2b).

Given the coordinates of the rhombus WXYZ:

W(0, 4b)

X(2a, 0)

Y(0, -4b)

Z(-2a, 0)

The midpoint formula is given by:

Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)

Substituting the coordinates of Y and Z:

Midpoint of YZ = ((0 + (-2a)) / 2, (-4b + 0) / 2)

= (-a, -2b)

Therefore, the midpoint of segment YZ is (-a, -2b).

To demonstrate that the segments joining the midpoints of the rhombus are perpendicular, we need to prove that the slopes of these segments are negative reciprocals of each other.

Let's consider the segments joining the midpoints:

Segment joining the midpoints of WX and YZ:

Midpoint of WX: ((0 + 2a) / 2, (4b + 0) / 2) = (a, 2b)

Midpoint of YZ: (-a, -2b)

Slope of WX = (2b - 4b) / (a - 0) = -2b / a

Slope of YZ = (-2b - (-4b)) / (-a - 0) = 2b / a

The slopes of WX and YZ are negative reciprocals of each other, indicating that these segments are perpendicular.

We have shown that the segments joining the midpoints of a rhombus are perpendicular to each other and have equal lengths. Therefore, these segments form a rectangle.

Additionally, the midpoint of segment YZ is (-a, -2b).

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To determine the equation of a line that passes through (x₁,y₁) with slope m, you can use the following formula:

Substituting:

in the above formula, you get:

Simplifying the above result, and taking it to its slope-intercept form you get:

Answer:

The answer is 125.6

Step-by-step explanation:

C= 2x3.14x20

C=6.28x 20

C= 125.6

We may compare the fractions 1/4 and Z to see who has the longer movie. Javier's film is longer if Z is bigger than 1/4. If Z is less than a quarter, Elisa's film is longer. If Z is equal to 1/4, their movies are the same length.

A fraction is a number that represents a part of a whole or a ratio between two numbers. It is written with one number above a horizontal line and another number below the line, like this: a/b. The number above the line is called the numerator, and the number below the line is called the denominator. The numerator represents the number of parts being considered, while the denominator represents the total number of parts in the whole.

Here,

To compare the duration of Elisa's and Javier's movies, we need to convert their durations to a common unit of time. We can convert Elisa's movie duration of 1/4 hours to a duration of 15 minutes, since 1/4 hours * 60 minutes/hour = 15 minutes.

For Javier's movie duration, we don't know the value of Z, so we can't convert it to a specific number of minutes or hours. However, we can still compare the lengths of their movies by comparing the fractions 1/4 and Z.

To draw the number lines, we can use a horizontal line to represent a duration of 0 to 1 hour, and divide it into 4 equal segments to represent 15-minute intervals. We can label one end "Elisa" and the other end "Javier", and mark the point on each line that corresponds to the duration of their movie.

The number line for Elisa would look like this:

Elisa: |-----|-----|-----|-----|

0.25

The number line for Javier would look like this, with Z represented as a fraction between 0 and 1:

Javier: |-----|-----|-----|-----|

0 Z/4 Z/2 3Z/4 1

To determine whose movie lasts longer, we can compare the fractions 1/4 and Z. If Z is greater than 1/4, then Javier's movie is longer. If Z is less than 1/4, then Elisa's movie is longer. If Z is equal to 1/4, then their movies have the same duration.

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Answer:

200

Step-by-step explanation:

The sum is 182.5, which is 200 to 1 significant figure.

Answer:

$1140 or $540

Step-by-step explanation:

450*1.2=540

540+600=1140

The teacher can thus use social sciences as a vehicle to develop mathematical skills by facilitating the development of skills such as data interpretation and analysis.

As an instructor, I would use social sciences to develop mathematical skills in the following manner:Consider a social science topic like demography. In this case, a teacher could use mathematics to assist students in interpreting population statistics.

Teachers might guide students to gather information about population size, growth rate, and geographical distribution from various countries and then use statistics to analyze the data.

For example, a teacher could give students graphs or charts to help them understand population growth rates. They can be asked to make comparisons and identify trends.

In this way, students' understanding of the population is improved, as is their mathematical reasoning.Aside from using mathematics to interpret population statistics,

the teacher can also incorporate mathematical skills development in social sciences by using methods that involve understanding and analysis of data. In other words, students learn how to use data to reach conclusions and make decisions.

They learn how to interpret data and how to extract information from it.This method of teaching creates opportunities for the use of the same skills in different contexts and areas of learning.

It enables students to see connections between subjects and fosters an integrated approach to learning.

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In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

275,000 x 0.00019

Step 02:

scientific notation:

275,000 = 2.75 x 10 ^ 5

0.00019 = 1.9 x 10 ^ (- 4)

2.75 x 10 ^ 5 X 1.9 x 10 ^ (- 4) = 5.225 x 10 ^ 1

The answer is:

5.225 x 10 ^ 1

Answer:

This relation is not a function. For each input, there is not exactly one output.

The relationship in the given diagram is not a function, because for each input there is not exactly one output. So Option A is correct

Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).

Vertical line test:-

Whenever we want to check whether a given expression is a function or not we can apply a vertical line test, in this test we check for a single image of x , we are getting a single image or more.

If we get more images then it will not be a function.

For example, let us take, y² = 4ax

y = ±√4ax

For single value of x we get two values of y

Hence, it will not be a function.

Given that,

Values of x and values of y

In given diagram,

for x = 0,

there are two values of y, -4 and -2

but according to definition of y, it should give only one value

Hence, it is not a function

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Answer:

Null hypothesis is; H0: μ = 174.1 cm

Alternative hypothesis is; Ha: μ ≠ 174.1 cm

No, it's not possible to conclude that there is enough evidence to support the claim.

Step-by-step explanation:

We are told that the A formal hypothesis test is to be conducted using the claim that the mean height of men is equal to 174.1 cm.

This means that the null hypothesis is;

H0: μ = 174.1 cm

Now, the alternative hypothesis would state the opposite of the null hypothesis. Thus, alternative hypothesis is;

Ha: μ ≠ 174.1 cm

The possible conclusions to make is that we can either reject the null hypothesis or fail to reject the null hypothesis.

Since we don't have value of test statistic and degree of significance, we cannot conclude that "there is sufficient evidence to support the claim that the mean height of men is equal to 174.1 cm"

Answer:

$5.02

Step-by-step explanation:

The unpaid balance method is a common method used by credit card companies to calculate finance charges. It determines the finance charge based on a portion of the previous balance you have not yet paid.

Equations to use:

\(\boxed{\begin{minipage}{9.7cm}\phantom{w}\\Periodic (monthly) rate = annual interest rate $\div$ 12\\\\Finance Charge = previous balance $\times$ periodic rate\\\\Unpaid Balance = previous balance + finance charge +\\\phantom{wwwwwwwwwww} new purchases - returns - payments\\\end{minipage}}\)

The periodic rate is the interest rate charged over a certain number of time periods. The interest on a credit card is usually calculated monthly, so if the annual interest rate is 21%, then the periodic (monthly) rate is:

\(\text{Periodic Rate}=\dfrac{21\%}{12}=1.75\%=0.0175\)

The unpaid balance is "last month's balance", which is $385.

Calculate the finance change by multiplying the previous balance (last month's balance) by the periodic rate:

\(\begin{aligned}\text{Finance change} &=\rm previous\; balance \times periodic\;rate \\&=\$385 \times 0.0175 \\&= \$6.7375\end{aligned}\)

Calculate the unpaid balance by subtracting the returns and payments from the sum of the previous balance, finance charge and new purchases:

\(\begin{aligned}\rm Unpaid \; Balance &= \rm previous\; balance + finance\;charge +new \;purchases\\&\phantom{=w}\rm - returns - payments\\&= \$385 + \$6.7375 + \$303 - \$158 - \$250 \\&= \$286.7375\end{aligned}\)

Finally, to calculate the current month's finance charge, multiply the unpaid balance by the periodic rate:

\(\begin{aligned}\text{Current month's finance charge}&=\rm unpaid \;balance\times periodic \;rate\\&=\$286.7375 \times 0.0175 \\&= \$5.02\; \text{(nearest cent)}\end{aligned}\)

Therefore, the current month's finance charge is $5.02 to the nearest cent.

Answer:

Solution given:

1 kg =1000g

1g=1000mg

now

1kg=1000g=1000×1000mg=1000000mg

Answer:

You are correct it is A. cos B

Step-by-step explanation:

Answer:

2kg for 1.97 is indeed the best option

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

C. 12, 8, 5

Step-by-step explanation:Side lengths of any triangle must conform to the triangle inequality theorem, which says that the sum of the lengths of any of the two sides of the triangle is greater than the length of the third side.

This means:

a + b > c

a + c > b

b + c > a

Let's check each of the options to see which set are possible lengths for a triangle:

A. 6, 5, 11

6 + 11 > 5 ===> 17 > 5

5 + 11 > 6 ===> 16 > 6

6 + 5 > 11 ===> 11 > 11 (INCORRECT. Does not confirm to tye theorem)

Therefore, this set cannot be possible side lengths for a triangle.

B. 8, 1, 2

8 + 1 > 2 ===> 9 > 2

1 + 2 > 8 ===> 3 > 8 (INCORRECT)

8 + 2 > 1 ===> 10 > 1

This set cannot be possible side lengths for a triangle.

C. 12, 8, 5

12 + 8 > 5 ===> 20 > 5

8 + 5 > 12 ===> 13 > 12

12 + 5 > 8 ===> 17 > 8

All are correct, therefore these are possible side lengths for a triangle.

Answer:

There is no sufficient evidence to conclude that population mean number of times that adults go out for dinner each week is less than 1.5

Step-by-step explanation:

From the question we are told that

   The  population mean is  less than  1.5

   The sample size is  n  =  7

   The sample data is   2, 0, 1, 5, 0, 2, and 3

Generally the sample mean is mathematically represented as  

     \(\=  x =  \frac{ \sum x_i }{ n }\)

=>  \(\=  x =  \frac{ 2 +  0 +  1 +  5 +  0 +  2 +   3 }{ 7 }\)

=>  \(\=  x =  1.857 \)

Generally the standard deviation is mathematically represented as

      \(\sigma  =  \sqrt{\frac{\sum (x_i - \= x)^2}{n} }\)

=>   \(\sigma  =  \sqrt{\frac{ (2 -   1.857)^2 +  (0 -   1.857)^2 +\cdots  (3 -   1.857)^2}{7} }\)

=>   \(\sigma  =  1.773\)

The null hypothesis is  \(H_o :  \mu  =  1.5\)

The alternative hypothesis is \(H_a  :  \mu  < 1.5\)

Generally the test statistics is mathematically represented as

     \(z  =  \frac{\= x  -  \mu }{ \frac{\sigma }{\sqrt{n} } }\)

=>   \(z  =  \frac{\= x  - 1.857 }{ \frac{1.773 }{\sqrt{7} } }\)  

=>\(z =  0.53\)

Generally the p-value is mathematically represented as

      \(p-value  =  P(z  < 0.53 )\)

From the z-table  

        \(P(z  <  0.53 ) =  0.70194\)

So

       \(p-value  =  0.70194\)

From the values obtained we see that \(p-value  >  0.05\)  

Here there is no sufficient evidence to conclude that population mean number of times that adults go out for dinner each week is less than 1.5

Answer:

Bank Z

Step-by-step explanation:

Answer:

BANK Z ON EDJ

Step-by-step explanation:

Answer:

That would be just 0 because anything multiplied by 0 is 0.

Given the following question:

We are given 20 marbles 4 red, and 16 blue.

We have a low chane of pulling a red marble speaking how s75% of the 20 marbles are blue and 25% ofthe marbles is red. Which means tthe likelihood of drawing a red marble out of a bag that contains 4 red marbles and 16 blue is 25% so relatively low.

To find the percent:

the answer I do not know because I can not see the picture or word problem

Answer:

if said babysitter is watching my babies there better be zero seconds of sleeping so 0

Using the concept of proportions and ratios, there are 756 accidents in Ohio were due to texting while driving.

We can use the concept of proportions and ratios to determine the number of road accidents due to texting.

The total number of accidents in Ohio is 972, so we can set up the equation:

7x + 2x = 972

Combining like terms:

9x = 972

To solve for x, we divide both sides of the equation by 9:

x = 972 / 9

x ≈ 108

Now that we know the value of x, we can find the number of accidents due to texting:

7x = 7 * 108

7x = 756

Therefore, approximately 756 accidents in Ohio were due to texting while driving.

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Answer:

x= 20

y = 60

Step-by-step explanation:

y = 3x

6(3x) = 360

3x = 360/6

3x = 60

x = 20

y = 3*20

y = 60

Answer:

  $142.32, profit on sale of the policy

Step-by-step explanation:

You want to know the expected value of a $280,000 life insurance policy sold for $270, if the probability the insured will live for the year is 0.999544.

The insurance company expects to have to pay the $280,000 death benefit for 0.000456 of the policies issued. That means their expected payout on any one policy is ...

  0.000456 × $280,000 = $127.68

The company gets a premium of $270 for the policy, so the expected value of the policy to the company is ...

  $270 -127.68 = $142.32

The expected value of the policy to the company is $142.32.

This represents its profit from sale of the policy.

__

Additional comment

Of course, the company has expenses related to the policy, perhaps including a commission to the agent selling it, and expenses related to handling claims. That is to say that not all of the difference between the premium and the average death benefit is actually profit. It is what might be called "contribution margin."

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Answer:

Step-by-step explanation:

Remark

The longer the line, the larger the arc is. So

How to put in order.

It can be shown that the angle opposite the chord is related to the arc length by α = arc length / r  Since r never changes, you are left with

α = k * chord length.

So what you conclude is that the larger the angle, the larger the arc length.

The largest angle is Q so the length of the arc opposite Q is the largest. The other two lines are handled the same way.

Answer:

The height of the box that has a volume of 1250 cubic cm with a length of 20cm and a width of 5cm will be 12.5cm.

It should be noted that the formula for the volume will be:

= Length × Width × Height

Therefore the height will be:

Volume = LWH

where

L = length = 20cm

W = width = 5cm

H = height = unknown

1250 = (20 × 5 × H)

1250 = 100H

Height = 1250/100

Height = 12.5 cm

Therefore, the height is 12.5cm.

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The algebraic expression for the area of the square picture and frame is,

⇒ a²

Where, 'a' is side length of frame.

Multiplication means to add number to itself a particular number of times. Multiply will be viewed as a process of repeated addition.

Given that;

To find the area of the square picture and frame.

Now, Let the side length of picture frame = a

Hence, The area of the square picture and frame is,

⇒ a²

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