PLEASE HELP I HAVE 2 MINS !!!
I WILL GIVE BRAINLYEST !!!

Rui Feng invested approximately $45,644.91.

To find the original amount invested by Rui Feng, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where A is the final amount, P is the principal amount (the original investment), r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years.

Given that Rui Feng received $5,800 as interest at the end of 3 years, we can calculate the final amount:

A = P + I

A = P + $5,800

Using the formula for compound interest and rearranging the equation, we can solve for the principal amount (P)

P = A - $5,800

Substituting the values into the formula, we have:

P = $5,800 / (1 + 0.04/2)^(2*3)

P = $45,644.91 (rounded to two decimal places)

Therefore, Rui Feng invested approximately $45,644.91 originally.

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Answer:

Bank 3

Step-by-step explanation:

No additional charges for automatic deposit and includes saving account.

The probability of choosing all five white balls correctly from a bowl of 69 white balls and the probability of choosing the correct red ball from a bowl of 29 red balls is \({}^{69}C_5/29\) .

The probability of choosing all five white balls correctly can be calculated using the formula for combinations, where the order does not matter and the balls are chosen without replacement. The probability is given by:

P(Choosing all 5 white balls correctly) = (Number of ways to choose 5 white balls correctly) / (Total number of possible combinations)

The number of ways to choose 5 white balls correctly is 1, as there is only one correct combination.

The total number of possible combinations can be calculated using the formula for combinations, where we choose 5 balls out of 69. It is given by:

Total number of combinations = \({}^{69}C_5\)

Next, we need to calculate the probability of choosing the correct red ball from a bowl of 29 red balls. Since there is only one correct red ball, the probability is 1/29.

Finally, to find the likelihood of being the winner of the Powerball lottery, we multiply the probability of choosing all five white balls correctly by the probability of choosing the correct red ball:

Likelihood = P(Choosing all 5 white balls correctly) * P(Choosing correct red ball)

=\({}^{69}C_5 \times 1/29\\\)

This gives us the probability of being the winner of the Powerball lottery.

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We conclude that the assumed bijection f cannot be continuous on [0,1].

To prove that a bijection function f: [0,1] → (0,1) is not continuous, we can utilize the concept of the Intermediate Value Theorem (IVT).

Assume f is continuous on [0,1]. Since f is a bijection, it must be either strictly increasing or strictly decreasing. Without loss of generality, let's assume it is strictly increasing.

Consider the point f(0) ∈ (0,1). According to the IVT, for any y in the interval (0,1), there exists x in [0,1] such that f(x) = y. However, this contradicts the definition of f as a bijection.

To elaborate, if f is continuous, it would map the entire interval [0,1] to the interval (0,1) without any missing values. But since f(0) ∈ (0,1), there would be no value in the interval [0,1] that maps to 0, violating the surjectivity property of a bijection.

Therefore, we conclude that the assumed bijection f cannot be continuous on [0,1].

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Answer:

1.74x10^7

Step-by-step explanation:

you count how many times you moved the decimal to the right

can i have brainliest? i only need 2 more

Answer:

1.74x10^7

Step-by-step explanation:

From the word problem given, it will take Grace 0.05 hours and Kelly 4.05 to complete the task

To solve this problem, we need to write an equation for the word problem.

Let x = time it takes for Kelly

let y = time it takes for Grace

From the problem;

y = x - 4 ...eq(i)

Since they can complete the work in 20 hours;

1/x + 1/y = 20 ...eq(ii)

Solving for both equations

From equ(ii)

1/x + 1/(x - 4) = 20

Solving for x;

x = 4.05 or x = 0.049

Put the value in and solve for y

y = x - 4

y = 4.05 - 4 = 0.05 or y = 0.0049 - 4 = insignificant

The value of y = 0.5 hours

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Answer:

D. The 7 in the thousands place is one hundredth the size of the 7 in the ten thousands place.

Step-by-step explanation:

The 7 in the thousands place is ten times greater than the 7 in the ten thousands place.

The relationship between the 7 in the thousands place and the 7 in the ten thousands place can be understood by their positions within the number. In a multi-digit number, each digit has a place value based on its position. The place value of a digit determines its worth. For example, the 7 in the thousands place is ten times greater than the 7 in the hundreds place, and the 7 in the ten thousands place is ten times greater than the 7 in the thousands place. Therefore, the 7 in the thousands place is ten times greater than the 7 in the ten thousands place.

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The limit of the infinite series \(\sum_{n=1}^{\infty} \frac{5n^5}{4n^{5.5}}\) is zero.

In this series, each term consists of the expression (5n⁵) divided by (\($4n^{5.5}$\)). We can simplify this expression by canceling out common factors:

\(\(\frac{{5n^5}}{{4n^{5.5}}} = \frac{5}{4} \cdot \frac{{n^5}}{{n^{5.5}}} = \frac{5}{4} \cdot \frac{1}{{n^{0.5}}} = \frac{5}{{4n^{0.5}}}\)\)

Now, let's analyze the behavior of the terms as n approaches infinity. As n increases, the denominator \($n^{0.5}$\) grows larger while the numerator remains constant. Consequently, the value of each term approaches zero.

Since the series consists of an infinite sum of terms approaching zero, the sum of the series also approaches zero as the number of terms increases.

Therefore, the limit of the infinite series \(\sum_{n=1}^{\infty} \frac{5n^5}{4n^{5.5}}\) is zero.

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Answer:

nhjkjhhjjjfghlkajshdii

Step-by-step explanation:

kjkkkk

Answer: 44.4 %

Step-by-step explanation: 40/90 ×100 = 44.4%

Answer: A

Step-by-step explanation:

because if you multiplied 15 years X 3% you get 0.45 and that is 45%

Answer: A

Step-by-step explanation:

Answer:

14.9000 is the answer

Step-by-step explanation:

round it

Answer:

can you be more clear

Step-by-step explanation:

55% of the claims are within one standard deviation of the mean claim size.

To find the percentage of claims that are within one standard deviation of the mean claim size, we first need to calculate the mean and standard deviation of the distribution.

The mean claim size is:

u = (20 × 0.10) + (30 × 0.10) + (40 × 0.10) + (50 × 0.20) + (60 × 0.15) + (70 × 0.10) + (80 × 0.25) = 54

The variance can be calculated as follows:

s^2 = [\((20-54)^{2}\) × 0.10] + [\((30-54)^{2}\) × 0.10] + [\((40-54)^{2}\) × 0.10] + [\((50-54)^{2}\) × 0.20] + [\((60-54)^{2}\) × 0.15] + [\((70-54)^{2}\) × 0.10] + [\((80-54)^{2}\) × 0.25] = 340

The standard deviation is the square root of the variance:

s = √340 ≈ 18.44

To find the percentage of claims that are within one standard deviation of the mean claim size, we need to find the range of claim sizes that fall within the interval (u - s, u + s).

(u - s) = 54 - 18.44 = 35.56

(u + s) = 54 + 18.44 = 72.44

We can see from the table that the claim sizes 40, 50, 60, and 70 fall within this range, and their probabilities add up to:

0.10 + 0.20 + 0.15 + 0.10 = 0.55

Therefore, 55 percentage of the claims are within one standard deviation of the mean claim size.

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Answer:

Step-by-step explanation:

#1 the second one is correct. 2 3/20 < 2 1/4 < 2 29/60

#2 80 seconds

#3 The second one is the correct answer

If the government was to impose a minimum wage of $12 then the number of unemployed workers would be 4,000.

If the government was to impose a minimum wage of $12 then a situation would arise where the demand for workers is 8,000 yet the supply for workers is 12,000.

This would lead to an unemployment rate of:

= 12,000 - 8,000

= 4,000 people

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The system of linear equations 2 · x + 4 · y = 7 and 2 · x + 4 · y = 9 has no solutions.

In this case we find a representation of two linear equations with two variables, each represented by two orthogonal axes, whose mathematical representation is described below:

a · x + b · y = c

e · x + f · y = g

Where a, b, c, d, e, f, g are real coefficients.

A system has no solution when a = e and b = f but c ≠ g. Graphically speaking, this case is represented by two parallel lines. One example is the following system:

2 · x + 4 · y = 7

2 · x + 4 · y = 9

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Answer: A

Step-by-step explanation:

1967.64 is the value of the given expression.

We must carry out the division operation in the following manner in order to assess the expression:

26,091 ÷ 13.26

= 1967.64

As a result, the expression has a value of 1967.64.

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If each atom in the universe were changed into an amino acid, we would have a total of 10100 amino acids.

Given that the protein has 120 amino acids, we can calculate the number of possible experiments by dividing the total number of amino acids in the universe by the number of amino acids required for each experiment:

10100 amino acids / 120 amino acids per experiment = 8.42 x 1077 experiments

Therefore, if each atom in the universe were changed into an amino acid, there would be approximately 8.42 x 1077 simultaneous experiments possible, with each experiment requiring 120 amino acids.

It's important to note, however, that this hypothetical scenario is purely theoretical and not practically feasible.

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The probability that the sample average falls outside the 3-sigma control limits of the X-bar chart is 0.27%.

The 3-sigma control limits are calculated using the standard deviation of the process. If the process is in control, then 99.73% of the sample averages will fall within the 3-sigma control limits. The remaining 0.27% of the sample averages will fall outside the control limits.

In this case, the sample size is 4, which is smaller than the sample size of 9 that was used to construct the control chart. This means that the control limits for the sample of size 4 will be narrower than the control limits for the sample of size 9.

As a result, the probability that the sample average falls outside the control limits will be higher for the sample of size 4.

Specifically, the probability that the sample average falls outside the 3-sigma control limits for a sample of size 4 is 0.27%. This means that there is a 0.27% chance that the new employee will observe a sample average that falls outside the control limits, even if the process is in control.

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The histogram will be formed .

Given,

Number of years that each of the nine Omar's Omelette Operation locations have been open .

An histogram is a graphical representation of data vs frequency.

On the x-axis we have the data. In this case the data are the number of hours that they worked during each of his eight shifts last pay period, 2.0,1.8, 4.6,1.1, 7.5,1.5,4.0,1.8. We need this data in order, so:

1.1

1.5

1.8

1.8

2.0

4.0

4.6

7.5

The data 1.8 is the only one that happened 2 times during his eight shifts.

So the frequency is 2. The frequency of the other shifts is 1.

Now we have the elements to create the histogram.

On the x-axis we place the different hours of the shifts.

On the y-axis we place the frequency each hour occurred during the last pay period.

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Explanation:

1 hat = 45 dollars

6 hats = 6*45 = 270 dollars

1 phone = 40 dollars

4 phones = 4*40 = 160 dollars

total = $270 + $160 = $430

Felicia spent a total of $430. Since this amount of money leaves her account, this means we write a negative sign out front to end up with the final answer of -430

In other words, her account balance went down by $430 which is why we use a negative. If someone gave her $430, then the answer would be positive.

Answer:

1 54 2 132 3 334.58 4 103.18

Step-by-step explanation:

Answer:

Answer

Step-by- explanation:

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The exponential form of given number 121200 is 1.212 × \(10^5\)

And the earth sun distance in kilometers in powers of 10 notation is 1.5 × \(10^8\)

For given question,

We need to express 121,200 in exponential (powers of 10) notation.

To use scientific notation, pick a value between 1 and 10, then multiply it by 10ˣ.

The number between 1 and 10 in 121200 is 1.212 with 5 decimal points.

So, the exponential notation of given number would be,

121,200 = 1.212 × \(10^5\)

Earth's average distance from the Sun is around 93 million miles (150 million kilometers). That's one AU.

So the number between 1 and 10 in 150,000,000 is 1.5, with 8 decimal points.

So, the distance between he Earth and the Sun is:

150,000,000 = 1.5 × 10⁸

Therefore, the exponential form of given number 121200 is 1.212 × \(10^5\)

And the earth sun distance in kilometers in powers of 10 notation is 1.5 × \(10^8\)

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Answer:

Area = 3x^2 + 4x

Step-by-step explanation:

Givens

W = x

L = 3x + 4

Formula

Area = L * W

Solution

Area = x(3x + 4)

Area = 3x^2 + 4x

Step-by-step explanation:

\(\sqrt{16}\) = 4

4x2 = 8

I believe the answer you are looking for is 8 my love..

The scale factor is given as follows:

1/4.

The ratio of their areas is given as follows:

1/16.

The ratio of their perimeters is given as follows:

1/4.

The ratio of the corresponding side lengths is given as follows:

1/4.

Hence the different question has the answer given as follows:

1/16.

The same question has the answer given as follows:

1/4.

A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.

The scale factor for this problem is defined as follows:

k = 3/12

k = 1/4.

As the area in measured in units squared, the ratio is given as follows:

(1/4)² = 1/16.

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