Chris purchases a living room furniture set for $4,345 from Halloran Gallery. She has a one-year, no interest, no money down, deferred payment
plan. She does have to make a $15 monthly payment for the first 11 months.
a. What is the sum of these monthly payments?
b. How much must Chris pay in the last month of this plan?

Frequency distributions, count the number of times each value or range of values appears in a dataset, while percentage distributions show the proportion or percentage of times each value or range of values appears in the dataset.

Frequency distributions are useful for summarizing and describing the distribution of a variable in a data set, while percentage distributions are useful for comparing different variables or subgroups within the data set.

For example, a frequency distribution could be used to show the number of hours of sleep each participant in a study gets per night, while a percentage distribution could be used to compare the number of hours of sleep between males and females in the study.

Frequency distributions and percentage distributions provide different perspectives on the same data set and can be used together to gain a more complete understanding of the data.

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The equation of the tangent line to the graph of the function at the point (9, 1) is y = 8x - 71.

To find the equation of the tangent line to the graph of the function at the point (9, 1), we need to determine the slope of the tangent line and then use the point-slope form of a linear equation.

Given that the function is y = 8x - 9y(x), we can differentiate it with respect to x to find the slope of the tangent line:

dy/dx = 8

So, the slope of the tangent line is 8.

Using the point-slope form of a linear equation, we have:

y - y₁ = m(x - x₁),

where (x₁, y₁) represents the coordinates of the given point and m is the slope of the tangent line.

Substituting the values (9, 1) and m = 8, we get:

y - 1 = 8(x - 9).

Simplifying further, we can expand the equation:

y - 1 = 8x - 72.

Finally, we rearrange the equation to the standard form:

y = 8x - 71.

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Answer:

6.45

Step-by-step explanation:

I am not staring at zero.  I am starting at 6.4, so I take 6.4 and add that to half way between 6.5 and 6.4.

6.4 + 1/2(6.5-6.4)  Combine in the parentheses

6.4 + 1/2(.5)  Take half of .5

6.4 + .05  add

6.45

We would need to fill the 6.75 L bucket approximately 4,720 times in order to empty the pool of volume 31,860 liters.

To calculate the number of times a 6.75 L bucket has to be filled in order to empty the pool, we first need to find the volume of water in the pool. We can use the formula for the volume of a rectangular prism, which is:

Volume = length x width x height

In this case, the length is 20.0 ft, the width is 12.5 ft, and the height (or depth) is 4.50 ft. Substituting these values into the formula, we get:

Volume = 20.0 ft x 12.5 ft x 4.50 ft

Volume = 1125 cubic feet

However, we need to convert this volume into liters in order to compare it with the volume of the bucket. To do this, we can use the conversion factor that 1 cubic foot is equal to 28.32 liters. Therefore:

Volume = 1125 cubic feet x 28.32 L/cubic foot

Volume = 31,860 liters

Now we can divide this volume by the volume of one bucket:

Number of buckets = Volume ÷ Bucket volume

Number of buckets = 31,860 L ÷ 6.75 L

Number of buckets = <<31860/6.75=4720>>4,720

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Answer:

5 Adult tickets were purchased and 3 student tickets were purchased.

Step-by-step explanation:

Write the problem as an equation like this

11x+7x=76

Now make an equation for the number of purchased tickets. Let x be adult and y be students.

x+y=8

Rewrite x + y = 8 as y = -x +8

Substitute y = -x + 8 into the first equation for y.

11x+7(-x+8)=76

11x+(-7x)+56=76

solve for 11x+(-7x)

4x+56+76

subtract 56 from both sides

4x=20

Divide both sides by 4

X=5

x + y = 8

5 + y = 8

y = 3

5 Adult tickets were purchased and 3 student tickets were purchased.

Answer:

9

Step-by-step explanation:

So we have the function:

\(f(x)=x+4\)

To find f(5), substitute 5 for x. Thus:

\(f(5)=5+4\)

Add:

\(f(5)=9\)

So, our answer is 9.

And we're done!

Hey there! I'm happy to help!

A function is kind of like a machine you put a number into and then it changes it and gives you a new number. This function is called f, and x is the number you put into it. So, if we have f(5), this means that 5 is our input that the function will change.

We see that f(x)=x+4. This means that f(5)=5+4, which is just equal to 9.

Therefore, f(5)=9.

Have a wonderful day! :D

Answer:

Step-by-step explanation:

L = 3*w + 1                      Given

P = 2*(L + w)                   Formula for Perimeter. Substitute for L    

P = 2*(3w + 1 + w)           Combine

P = 2*(4w + 1)                  

P = 58                             Given

58 = 8w + 2                    Remove the brackets

58 - 2 = 8w                     Subtract 2

56 = 8*w                         Divide by 8

56/8 = w

7 = w

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

Find L

L = 3*w + 1

L = 3*7 + 1

L = 22

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

Check

2L + 2W  = 58

2*22 + 2*7 =? 58

44 + 14 = ? 58

58 = 58

The answer checks.

The time of motion of the frog after it jumped into air is determined as 0.8 second.

The time of motion of the frog is determined by solving the quadratic equation as follows;

60t - 75t² = 0

60t = 75t²

divide both sides by t

60 = 75t

divide both sides by 75

60/75 = t

0.8 s = t

Thus, the time of motion of the frog after it jumped into air is determined as 0.8 second.

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Answer: 3√5-4√15/30

Step-by-step explanation: image

Answer:

Side length ≈ 12.04

Step-by-step explanation:

145 = x²

144 is the closest  square, with the root 12

The square root of 145 is approximately 12.04

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

The approximate side length is 12.0 in

Step-by-step explanation:

The area of a square is given by

A = s^2  where s is the side length

145 = s^2

Taking the square root of each side

sqrt(145) = sqrt(s^2)

12.04159458 = s

The approximate side length is 12.0 in

Answer: 13 %

Step-by-step explanation: The square has 100 squares, thus equaling, 100%. 13 of the 100 squares are filled in, therefore the answer would be 13% because 13 would be 13% out of 100%

#1

Area

#2

Area

#3

Area

#4

Area

Answer:

Formula:    Area of a rectangle = width × length

Substitution:    Area = 2.5 mi × 5 mi

Answer:    Area = 12.5 mi²

Formula:   Area of a triangle = 1/2 × base × height

Substitution:   Area = 1/2 × (12 ft + 4 ft) × 5 ft

Answer:   Area = 40 ft²

Formula:  Area of a parallelogram = base × height

Substitution:   Area = 24 cm × 6 cm

Answer:   Area = 144 cm²

Formula:   Area of a parallelogram = base × height

Substitution:   Area = 7 m × 4 m

Answer:   Area = 28 m²

Answer:

b, c, d.

Step-by-step explanation:

Step-by-step explanation:

IF  x-4   is a factor, then putting in x = + 4    will make the polynomial = 0

5 ( 4^3) - 20 (4^2) - 5(4)  + 20   =   0    Yes...it is a factor

\(x - 4 = 0 \\ x = 4 \\ \)

substitute value of x in the function to see if it equals to zero , if not it won't be a factor of the function

\(5 {x}^{3} - 20 {x}^{2} - 5x + 20 = 0 \\ 5(4) ^{3} - 20( {4})^{2} - 5(4) + 20 = 0 \\ 5(64) - 20(16) - 20 + 20 = 0 \\ 320 - 320 - 20 + 20 = 0 \\ 0 = 0\)

so (x-4) is a factor for the function

Answer:

60 in³

Step-by-step explanation:

Prism A is 2×3×5 which is 30in³

Prism B is 2 times the height, which means it is 4×3×5 which is 60

Answer:

pleasee reply me ...

you looking very gorgeous...

also h*t and s**y ..

Answer:

plz mark me as a brainelist

hope it helps you

Answer:

49 minutes

Step-by-step explanation:

Given :

Start time = 1:39 p. M

Return time = 2.28 p. M

Time spent Walking dog = difference between the start time and return time

Return time - start time

(2:28 p.m - 1:39p.m) = 49 minutes

Hence, Tiffany spent 49 minutes walking her dog

Ok, so

We want to simplify:

We could sum or substract the similar terms given. Remember that similar terms, are terms whose variables are the same.

This is:

Simplifying:

True. If the derivative (dy/dx) of a function f(x) is zero at a particular value of x, then the slope of the tangent line at that point is also zero, which means it is a horizontal line.

A tangent line is a straight line with the same slope as the curve it touches at a single point on a curve. A local approximation of the curve close to the point of contact is provided. Finding the slope of the curve at a given location, which is determined by the derivative of the curve at that position, is necessary to determine the equation of a tangent line to a curve at that point. The equation of the tangent line is then written using the point-slope form of a line. Calculus relies on tangent lines to help students comprehend how functions and their derivatives behave.

This is because the derivative represents the rate of change (slope) of the function at any given point, and if it is zero, then the function is not changing (not curving) at that point.

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Answer:

the graph is of a cubic function.

Step-by-step explanation:

f(x)= x^3. It should have at least one zero

The graph shows cubic polynomial.

A polynomial is an equation that solely uses the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are also known as indeterminates.

Given:

In the graph the number of times the graph touches the x- axis it will have that many zeroes or solution for the polynomial.

The given graph touches the x-axis three times which shows the polynomial will have three solution and the degree of the polynomial is 3.

Hence, the graph shows cubic polynomial.

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If I were in this situation, I would carefully consider my options before making a decision. On the one hand, I would be able to get the speaker system for 10% off if I applied for and was approved for the credit card. This would save me $19.97.

One way to figure out the interest on a loan or investment is with simple interest. The principal sum, interest rate, and duration of the loan or investment are taken into account while calculating the interest.

On the other hand, I would have to pay interest on the balance of the credit card, which would add up over time. I would also have to make monthly payments on the credit card, which would reduce the amount of money I have available for other expenses.

In the end, my personal financial circumstances and how much I value the speaker system would determine whether or not I applied for the credit card. I might choose to apply for the credit card if I am convinced that I can pay the interest and the monthly installments.

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From the scenario described, the best thing to do will be to pay for the Bluetooth from his monthly income.

In the scenario described, we can determine the best course to take by determining the present inflow of resources and comparing these with the price of the Bluetooth speaker to see if there will be sufficient funds to cover the cost.

Cost of Bluetooth =  $199.67

Money left from summer job = $135.89

Monthly income = $96.72

Car insurance = $31.89

So, gross monthly income = $64.83

10% less of the Bluetooth price = $179.7

Given the simple interest of 4% on the card, it will be logical for the student to avoid buying the Bluetooth with the credit card as he can also remove $22 from his monthly income to sort the bill.

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Regular expressions for the following languages using Go's regular expression syntax: Language:  Biological pronunciation for plants at Monrovia.com.

On the Hot Blooded Lantana, Lantana camara, Monrovia Plant page, the pronunciation is: lan-TAY-na ca-MA-ra.• For Blue Arrow Juniper, Juniperus scapular, Monrovia Plant, the pronunciation is: ju-NIP-er-us skop-u-LO-rumPattern.

\(^[A-Z][a-z]+(-[A-Z][a-z]+)*$\)

Language: Plant prices at Monrovia.com. Plants may be offered in different sizes, so if you click on the Container Size link on a page like: Hot Blooded Lantana, Lantana camara, Monrovia Plant, you find strings like.

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A polygon is a planar figure characterized by a limited number of straight-line segments joined to create a closed polygonal chain in geometry.

A polygon is a planar figure characterized by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. A polygon is defined as a bounded planar region, a bounding circuit, or both.

2. Find the value of the supplementary angle of y for each polygon.

A.) For an isosceles triangle, using the base angle theorem we can write that the measure of the angle opposite to the congruent side will be equal. Therefore, the sum of the angles of the triangle can be written as,

y + y + 26° = 180°

2y = 154°

y = 77°

B.) The sum of the interior angles of a regular polygon is given as (n-2)180°, where n is the number of sides, also for a regular polygon the measure of each interior angle is equal. Since in a pentagon the number of sides is 5. Therefore, the measure of an interior angle can be written as,

y = [(n-2)180°]/n

y = [(5-2)180°]/5

y = 108°

3. The sum of the exterior angle of all the polygons is equal to 360°. Therefore, the sum of the exterior angles of the triangle and the pentagon will be the same, 360°

4. The formula to find the sum of the interior angles of a polygon, we can use the formula.

Sum of interior angles of an n-sided polygon = (n-2)180°

Where n is the number of sides.

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Answer:

1

Step-by-step explanation:

Answer:

i think like the 2nd one im not sure i cant see the lines

Step-by-step explanation:

In the question, the independence assumption may have been violated, while the Nearly Normal Condition is likely justified. Therefore, the use of the Student-t model for inference may be unreliable.

a) In order to perform a hypothesis test on the claim made by the diet guide, we need to assess the assumptions and conditions required for reliable inference. The independence assumption states that the observations are independent of each other. In this case, it is not explicitly mentioned whether the yogurt samples were independent or not. If the samples were obtained from the same batch or were not randomly selected, the independence assumption could be violated.

Regarding the Nearly Normal Condition, which assumes that the population of interest follows a nearly normal distribution, it is reasonable to assume that the distribution of calorie counts in vanilla yogurt is approximately normal. However, since we do not have information about the population distribution, we cannot definitively justify this condition.

b) The appropriate hypotheses for testing the claim made by the diet guide would be:

H0: The average calories per serving of vanilla yogurt is 120.

HA: The average calories per serving of vanilla yogurt is not equal to 120.

To test these hypotheses, we can use a t-test for a single sample. The test statistic (t) can be calculated by taking the mean of the sample calorie counts and subtracting the claimed average (120), divided by the standard deviation of the sample mean. The p-value can then be determined using the t-distribution and the degrees of freedom associated with the sample.

Without the actual sample mean and standard deviation, it is not possible to provide the specific test statistic and p-value for this scenario. These values need to be calculated using the given data (calorie counts) in order to draw a conclusion about the claim made by the diet guide.

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We can use a priority queue to keep track of the k most frequent strings. The priority queue should be sorted by the frequency of the strings, and in case of ties, we should sort by lexicographical order.

Here's the step-by-step algorithm to solve the problem:

1. Create a hash map to count the frequency of each string in the array.
2. Create a priority queue and define a custom comparator function that compares strings based on their frequency and lexicographical order.
3. Iterate over the keys of the hash map and add each string to the priority queue.
4. Pop the top k strings from the priority queue and add them to the result array.
5. Return the result array sorted in descending order of frequency.

Here's the Python code that implements this algorithm:

```
import heapq
from collections import defaultdict

def topKFrequent(words, k):
   freq = defaultdict(int)
   for word in words:
       freq[word] += 1
   
   pq = []
   for word, count in freq.items():
       heapq.heappush(pq, (-count, word))
   
   res = []
   for i in range(k):
       res.append(heapq.heappop(pq)[1])
   
   return sorted(res, key=lambda x: (-freq[x], x))
```

In this code, we use a defaultdict from the collections module to count the frequency of each string. We then use a heap (implemented as a list) to keep track of the k most frequent strings. The -count value is used as the first element of each tuple in the heap, so that we can sort the strings by frequency in descending order. The second element of each tuple is the string itself, which is used to break ties in case of equal frequency. Finally, we sort the result array based on the frequency and lexicographical order using the sorted function and a lambda function.

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The fact that when the Price fell by 40%, the new price became 60% of the original price.

When Inflatable Baby Car Seats Incorporated announced that it had greatly overestimated demand for its product, the price of its stock fell by 40%.

A few weeks later, when the company was forced to recall the seats after heat in cars reportedly caused them to deflate, the stock fell by another 60% (from the new lower price). If the price of the stock is now $2.40,

what was the stock selling for originally Let the original price of the stock be "P".According to the question, the price of the stock fell by 40% due to an overestimation of demand. Therefore, the new price is 60% of the original price. So, the new price of the stock is given by:0.6P

Also, as per the question, after a few weeks, the stock fell by another 60% (from the new lower price), so the current price of the stock is: 0.4 × 0.6P = 0.24PTherefore, 0.24P = $2.40

We need to calculate the original price (P), so dividing both sides by 0.24: P = $2.40/0.24P = $10Therefore, the original price of the stock was $10.Note: The answer is obtained by using the concept of percentages.

First, we use the fact that when the price fell by 40%, the new price became 60% of the original price.

Then, we use the second fact to obtain the current price in terms of the original price.

Finally, we solve the equation obtained to get the original price.

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Answer:

i think the first one

Step-by-step explanation:

Answer:

A. 2x2y +7xy2

Step-by-step explanation: