what will the amount be after 8 years?​

\(\qquad \qquad\huge \underline{\boxed{\sf ᴀɴsweʀ}}\)

Here's the solution ~

\(\qquad \sf  \dashrightarrow \: \frac{(4/7)^5 \times (2 / 3)^4 }{(4 / 9) \times (4 / 7)^ 3} \)

\(\qquad \sf  \dashrightarrow \: \frac{ (\frac{4}{7}) {}^{5} }{ (\frac{4}{7} ) {}^{3} } \times \frac{( \frac{2}{3})^{4} } { \frac{4}{9} } \)

\(\qquad \sf  \dashrightarrow \: \frac{ (\frac{4}{7}) {}^{5} }{ (\frac{4}{7} ) {}^{3} } \times \frac{( \frac{2}{3})^{4} } { \frac{ {2}^{2} }{ {3}^{2} } } \)

\(\qquad \sf  \dashrightarrow \: \frac{ (\frac{4}{7}) {}^{5} }{ (\frac{4}{7} ) {}^{3} } \times \frac{( \frac{2}{3})^{4} } {( \frac{2}{3} ) {}^{2} } \)

\(\qquad \sf  \dashrightarrow \: ( \frac{4}{7}) {}^{2} \times ( \frac{2}{3} ) {}^{2} \)

\(\qquad \sf  \dashrightarrow \: \frac{16}{49} \times \frac{4}{9} \)

\(\qquad \sf  \dashrightarrow \: \frac{64}{441} \)

Answer:

100%

Step-by-step explanation:

Since 56/56 employees at the sports shop work part time, that means 100% of them do, or all of them.

Answer:

Statement A

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

i dont know how to explain it but its b

Answer:

There was profit of $17 think

Step-by-step explanation:

25+16=41

14+10=24

41-24=17

They took down the other question so we're gonna come here ok

Answer:

0.6

Step-by-step explanation:

first you well have a 3 and then dived it by 5 and after you dived them to you well get the answer 0.6

The part in the steering column that allows for changes in the angle between the upper and lower shafts is the universal joint.

The universal joint, also known as a U-joint or Cardan joint, is a mechanical device that enables changes in the angle between two shafts that are not in a straight line. In the context of a steering column, the upper and lower shafts are connected by a universal joint.

As the steering wheel is turned, it exerts rotational force on the upper shaft of the steering column. The universal joint allows for the transmission of this rotational motion while accommodating changes in the angle between the upper and lower shafts. It provides flexibility and compensates for any misalignment between the two shafts, ensuring smooth and continuous rotation of the steering column.

The universal joint typically consists of two yokes connected by a cross-shaped component with needle bearings. These bearings allow for rotation in multiple axes, allowing the steering column to handle variations in the angle between the upper and lower shafts during steering movements.

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The distance between the 3rd lamppost and 8 th lamppost is 100 meters.

EXPLANATION:

If the distance between 2 lampposts is 40 meters, you would divide the neters by 2. This would give you the answer of 20, meaning the distance between lampposts is 20 meters. So multiply 20 * 5 to get the distance between the third lampost and eight lamppost.

Answer:

2003/100

Step-by-step explanation:

Answer:

each boy would get 1 1/8 gallons of ice cream

Answer:

1.125 or 9/8

Step-by-step explanation:

4 1/2 divided by 4.

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 eccentricity of an infinitely long ellipse will be less than 1.

The ratio of the focus's distance from the ellipse's center and the ellipse's distance from one of its ends.

It is easy to comprehend how circular an ellipse is in relation to a circle when we consider its eccentricity. It also measures the ovalness of the ellipse and eccentricity close to one refers to the high degree of ovalness.

The eccentricity of an ellipse is always less than 1 i.e e < 1. The formula for the eccentricity of an ellipse is given by

Which can be written as

Where

e = Eccentricity of the ellipse

c = Distance of the focus from the center of the ellipse

a = Distance of the end of the ellipse from the center

As we know the eccentricity of an ellipse is always less than 1, So we can conclude that the eccentricity of an infinitely long ellipse is less than 1.

Therefore,

The eccentricity of an infinitely long ellipse will be less than 1.

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The probability that the number selected is the square of a natural number will be  \(\frac{1}{5}\).

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1.

Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

P is the probability

F(E) is the favorable event

T(E)is the total event

The probability is found as;

\(\rm P = \frac{F(E)}{T(E)} \\\\ \rm P = \frac{4}{20)} \\\\ \rm P = \frac{1}{5}\)

Hence the probability that the number selected is the square of a natural number will be  \(\frac{1}{5}\).

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Answer:

Option D is the correct answer

Step-by-step explanation:

D. \(\frac{1}{5}\)

Answer: what-

Step-by-step explanation:

The average number of gallons of fruit juice consumed per person in the country in​ 2006 is 7.8 gallons.

Given:

Total consumption of fruit juice in a particular country in 2006 was about 1.56 billion gallons.

The population of that country in 2006 was 200 million.

Average number of gallons = Total consumption of fruit juice in 2006 / Population in 2006.

= 1.56 billion gallons / 200 million

= 7.8 gallons.

Therefore The average number of gallons of fruit juice consumed per person in the country in​ 2006 is 7.8 gallons.

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Answer: y = 5x + 26

Step-by-step explanation:

To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.

We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Substituting the values, we get:

y - 1 = 5(x - (-5))

Simplifying further:

y - 1 = 5(x + 5)

Expanding the brackets:

y - 1 = 5x + 25

Rearranging the equation to the slope-intercept form (y = mx + b):

y = 5x + 26

Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.

Answer:

both plumbers charge $120 for 3 hours of work

Step-by-step explanation:

1) x=3 and x stands for hours.

2) 120=y and y stands for money charged

so the points (3, 120) show that the plumbers both charge 120 for 3 hrs.

Answer:

c

Step-by-step explanation:

A translation is a transformation that moves every point in a figure in the same direction by the same amount. The correct option is C.

A translation is a transformation that moves every point in a figure in the same direction by the same amount. It is also a sort of transformation in which each point in a figure is moved the same distance in the same direction resulting in the same figure again.

Given that a pair of parallel lines are translated, after the translation, the pair of the line will be still parallel. Therefore, the graph with parallel lines is the correct option.

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The committee can best catalog the data so it can be used to make meaningful changes by using a database management system (DBMS).

A database management system (DBMS) is a system that enables users to create, read, update, and delete data in a database. The DBMS is a tool that handles all data-related tasks. Organizations employ a DBMS to keep data organized and easy to access and manage.

DBMS provides a set of computerized tools for managing all types of data. A DBMS allows end-users to extract and analyze data from a database.

The committee can use a database management system to ensure that data is organized and easily retrievable. They can employ a DBMS to streamline data entry and report production for high-quality output.

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The expression  \(\frac{5}{2} \times \frac{3}{10}\) in the simplest form can be written as \(\frac{3}{4}\).

Mathematically, an expression is a collection of numbers, variables, mathematical operations, functions, and often symbols combined according to peculiar rules to represent a mathematical calculation or association. It can be supposed to as a mathematical idiom or formula.

By combining numbers, variables, operators, and functions, mathematical expressions can represent a wide range of calculations and associations.

The given expression is \(\frac{5}{2} \times \frac{3}{10}\).

\(\frac{5}{2} \times \frac{3}{10} = \frac{1}{2} \times \frac{3}{2}\)

          \(= \frac{3}{4}\).

Hence, the fraction is \(\frac{3}{4}\).

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Answer:

40m

Step-by-step explanation:

Radius is half of diameter

Answer:

1/3

Step-by-step explanation:

Answer:

l = x · c / 360

l = 72 · 20 / 360

l = 1440 / 360

l = 4

Step-by-step explanation:

1. write down the arc length formula.

2. replace x and c by their values

3. multiply and then divide to get l

Option D: There is not enough evidence to suggest that the average percent increase of company sales after an advertising campaign is different from 17 percent.

The marketing manager wants to test the claim that the percent increase in company sales after an advertising campaign is different from 17 percent. To do this, a z-test statistic was calculated, which came out to be 2.43. The marketing manager wants to know if there is enough evidence to reject the null hypothesis. The significance level, or alpha, is given as 0.01.

To determine if there is enough evidence to reject the null hypothesis, we need to compare the test statistic to the critical value(s) and the p-value.

First, let's determine the type of test we should use. Since the alternative hypothesis is that the percent increase is different from 17 percent, we need a two-tailed test.

Next, we compare the test statistic to the critical value(s) based on the significance level. Since the significance level is 0.01, we need to find the critical value(s) that split the alpha evenly between the two tails of the distribution. In this case, the critical value(s) would be ±2.58 (which corresponds to an alpha of 0.005 for each tail).

Now, let's compare the test statistic (2.43) to the critical value(s) (±2.58). Since the test statistic falls within the range of the critical value(s), we do not have enough evidence to reject the null hypothesis.

Lastly, let's consider the p-value. The p-value is the probability of observing a test statistic as extreme as the one calculated, assuming the null hypothesis is true. In this case, the p-value is given as 0.015. Since the p-value is greater than the significance level (0.01), we do not have enough evidence to reject the null hypothesis.

Based on these results, we can conclude that there is not enough evidence to suggest that the average percent increase of company sales after an advertising campaign is different from 17 percent.

COMPLETE QUESTION:

Understand and interpret the test-statistic and p-value Question A marketing manager would like to test the claim that the percent increase of company sales after an advertising campaign is different than 17 percent. If the z, test statistic was calculated as z = 2.43, does the marketing manager have enough evidence to reject the null hypothesis? Assume a = 0.01. Move the blue dot to choose the appropriate test (left, right, or two-tailed). Then, use the graph below to show the test statistic, p-value, and the rejection region to make a conclusion about the hypothesis test. Move the blue dot to choose the appropriate test Significance level = 0.01 a=0.01 a=0.025 a=0.05 a=0.1 Move the blue dot to choose the appropriate test Significance level = 0.01 a=0.01 a=0.025 a=0.05 a=0.1 a/2 = 0.005 a/2 = 0.005 p-value= 0.015 D Ź T Ő tes statistic = 2. test statistic = 2.43 Z= 2.58 Z= -2.58 powered by Select the correct answer below:

A.There is enough evidence to suggest the average percent increase of company sales after an advertising campaign is greater than 17 percent. B. There is not enough evidence to suggest the average percent increase of company sales after an advertising campaign is greater than 17 percent.

C. There is enough evidence to suggest the average percent increase of company sales after an advertising campaign is not 17 percent.

D. There is not enough evidence to suggest the average percent increase of company sales after an advertising campaign is not 17 percent.

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Answer:

The speed of the plane is 200 mph

Step-by-step explanation:

distance = rate x time

The times are equal.

Car:

150 = rt

\(\frac{150}{r}\) = t

Plane:

600 = (r+ 150)t

\(\frac{600}{(r+ 150)}\) = t

Set the two equation equal to each other and solve for r:

\(\frac{150}{r}\) = \(\frac{600}{(r+150)}\)  Multiple both sides by r(r+ 150)  to clear the fraction

\(\frac{r(r+150)}{1}\) (\(\frac{150}{r}\)) = \(\frac{r(r + 150)}{1 }\) (\(\frac{600}{(r+ 150)}\))

(r+150)(150) =  600r

150r + 22500 = 600r  Subtract 150r from both sides

22500 = 450r  Divide both sides by 450

50 = r  This is the rate of the car.        

The plane is 50 + 150 = 200                                                                                                                                                                      

The answers, rounded to the appropriate number of significant figures, are as follows:

(a) 1.088 ×\(10^2\)

(b) 2.132

(c) 1.3331 ×\(10^1\) and

(d) 1.05.

Let's calculate the answers to the given operations using the appropriate number of significant figures.

(a) 8.370×1.3×10

To perform this multiplication, we multiply the decimal numbers and add the exponents of 10:

8.370 × 1.3 × 10 = 10.881 × 10 = 1.0881 × \(10^2\)

Since the original numbers have four significant figures, we round the final answer to four significant figures:

1.088 × \(10^2\)

(b) 4.265/2.0

For division, we divide the decimal numbers:

4.265 ÷ 2.0 = 2.1325

Since both numbers have four significant figures, the answer should be rounded to four significant figures:

2.132

(c) (1.2588×\(10^3\))×(1.06×\(10^-^2\))

To multiply these numbers, we multiply the decimal numbers and add the exponents:

(1.2588 × \(10^3\)) × (1.06 × \(10^-^2\)) = 1.333128 × \(10^1\)

Since the original numbers have five significant figures, we round the final answer to five significant figures:

1.3331 × \(10^1\)

(d) \((1.11)^(^1^/^2^)\)

To calculate the square root, we raise the number to the power of 1/2:

\((1.11)^(^1^/^2^)\)= 1.0524

Since the original number has three significant figures, the answer should be rounded to three significant figures:

1.05

It's important to note that the significant figures in a result are determined by the original data and the operations performed. The final answers provided above reflect the appropriate number of significant figures based on the given information and the rules for significant figures.

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Answer:

The PC 5150 is sold anywhere from $50 - $500 I believe it is a reasonable price since it is an old item and does not work as well as the newer and better ones.

Hope this helped : )

Molly goes to the grocery store and buys 2 boxes of the same cereal and a gallon of milk. If the milk cost $3.00 and her total bill was $9.50  each box of cereal costs $3.25.

Let's assume the cost of each box of cereal is x dollars.

Molly bought 2 boxes of the same cereal, so the total cost of the cereal is 2x dollars.

She also bought a gallon of milk, which cost $3.00.

The total bill was $9.50.

Therefore, we can set up the equation:

2x + 3.00 = 9.50

To find the cost of each box of cereal (x), we need to solve this equation.

Subtracting 3.00 from both sides of the equation:

2x = 9.50 - 3.00

2x = 6.50

Dividing both sides of the equation by 2:

x = 6.50 / 2

x = 3.25

Therefore, each box of cereal costs $3.25.

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Answer:

x divided by 4

Step-by-step explanation:

4 bags

O O

O O

strawberries would go in each

so lets say like 24 strawberries

24 (x) / 4 = 6

so six strawberries a bag

hope this helps like put a picture in your head

Given:

Total number of curlers = 16

Pink Curlers = 1/4 of 16

Green Curlers = same with pink = 1/4 of 16

Soda Cans = 16 curlers minus pink and green curlers

To determine how many soda can curlers are in Carrie's head, let's determine first how many pink and green there are.

Since there are 1/4 of the curlers are pink, let's determine how many curlers exactly are pink by multiplying 1/4 to 16.

Therefore, there are 4 pink curlers. Similarly, there are also 4 green curlers since it is stated in the problem that they have the same count.

So, 16 curlers minus 4 pink and 4 green curlers, there are 8 soda cans curlers in Carrie's head.