what is 0.5% of 30,193,864

Answer:

Đáp án B

Step-by-step explanat

B1:X ét VT=15x +35(1)

B2Xét VP thấy 15x +35 (2)

B3 KL

Answer:

$0

$30

Step-by-step explanation:

For it to be proportional it has to start with zero

so opens the account with $0 and

puts $30 in every month

Answer:

Transitive Property of Congruence

Explanation:

Here, we want to get the congruence law used

From what we have, given 3 set of angles with 1 one of the angles equal to the two others, it mean that the other two are equal to one another

Thus, we can see that there is a linkage between the values as a result of one of the angles being equal to the other two

The name of the congruence property that represents this is the transitive property of congruence

We can use it to infer or get the value of a third angle or use to define the equality of two angles given a third one in which the first two are equal to

Answer:

There were 10 flies originally

Step-by-step explanation:

Since we have an exponential growth, we will be having a constant percentage of increase and we can set up the increase at any day using the following equation;

V = I(1+r)^d

where V is the number of flies on a particular day

I is the initial number of flies

r is the constant increase in percentage

and d is the number of days.

So we have for the second day;

60 = I(1+r)^2 ••••••(i)

For the fourth day, we have;

360 = I(1+r)^4 ••••••••(ii)

divide equation ii by i; we have;

360/60 = (1+r)^4/(1+r)^2

6 = (1+r)^2

(√6)^2 = (1+r)^2

1 + r = √6

r = √6 - 1

So we can substitute the value of r in any of the equations to get I which is the initial number of flies

Let’s use equation 1

60 = I(1 + r)^2

60 = I(1 + √6 -1)^2

60 = I(√6)^2

60 = 6I

I = 60/6

I = 10 flies

1. To maximize the profit :

28 jars of salsa and

0 jars of tomato sauce should be made.

which  make maximum profit of $42.

2.  In order to maximize the total monthly profit

2300 units of T₁ type table and and

600 units of T₂ type table should be made

which provide maximum profit of $273000.

In Algebra, inequality is a Mathematical statement that shows the relation between two expressions using the inequality symbol. The expressions on both sides of an inequality sign are not equal. It means that the expression on the left-hand side should be greater than or less than the expression on the right-hand side or vice versa. If the relationship between two algebraic expressions is defined using the inequality symbols, then it is called literal inequalities.

1. Let x be the numbers of jars of tomato sauce

Let y be the number of jars of salsa sauce

Profit P(x, y)=2x+1.5y

x≥0

y≥0

10x+5y≤140

x + y ≤13

​The solution set of the system of inequalities above the vertices of the feasible solution set obtained are shown below.

A at (0,13)

B at (0,28)

C at (14,0)

D at (15,0)

E at (15, -2)

Evaluate profit P(x, y) at each vertex

A at (0,13):P(0,13)=$19.5

B at (0,28):P(0,28)=$42

C at (14,0):P(14,0)=$28

D at (15,0):P(15,0)=$30

E at (15, -2):P(15,-2)=30-3=$27

The maximum profit of $42 is at vertex B.

Which means production of 28 jars of salsa and 0 jars of tomato sauce provides maximum profit of $42.

2. Let x be the number of tables of type T₁

​and y the number of tables of type T₂

​Profit P(x, y)=90x+110y

x≥0

y≥0

2x+4y≤7000

x+2.5y≤4000

2x+1,5y≤5500

​The solution set of the system of inequalities above the vertices of the feasible solution set obtained are shown below.

A at (0,0)

B at (0,1600)

C at (1500,1000)

D at (2300,600)

E at (2750,0)

Evaluate profit P(x, y) at each vertex

A at (0,0):P(0,0)=0

B at (0.1600):P(0,1600)=90(0)+110(1600)=176000

C at (1500,1000):P(1500,1000)=90(2500)+110(1000)=245000

D at (2300,600):P(2300,600)=90(2300)+110(600)=273000

E at (2750,0):P(2750,0)=90(2750)+110(0)=247500

The maximum profit of $273000 is at vertex D.

which means production of 2300 tables of type T₁ and 600 tables of type T₂ makes maximum  profit.

1. Hence, maximum profit is made by making

28 jars of salsa and

0 jars of tomato sauce getting

$42 of profit.

2. Hence the company needs to produce

2300 tables of type T₁ and

600 tables of type T₂,

in order to maximize its monthly profit which is equal to $273000.

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Answer:

x = 58

y = 39

Step-by-step explanation:

x = 58 (Vertically opposite angles)

x + 2y + (x-14) = 180 (Angles in a straight line)

=> x + 2y + x - 14 = 180

=> 2x + 2y = 180 + 14

=> 2(58) + 2y = 194

=> 116 + 2y = 194

=> 2y = 194 - 116

=> 2y = 78

=> y = 78/2

=> y = 39

Answer:

7) B, C

8) D

Step-by-Step-Explanation:

The first thing you need to solve for is the the parenthesis

the second one simplifies to x ≤ -7

To determine whether the sequence {an} = 5n/4n + 1 is convergent or divergent, we can analyze its behavior as n approaches infinity.

First, let's rewrite the expression for the nth term of the sequence:

an = 5n / (4n + 1)

As n approaches infinity, the denominator 4n + 1 becomes dominant compared to the numerator 5n. Therefore, we can simplify the expression by neglecting the term 5n:

an ≈ n / (4n + 1)

Now, we can consider the limit of the sequence as n approaches infinity:

lim(n→∞) n / (4n + 1)

To evaluate this limit, we can divide both the numerator and denominator by n:

lim(n→∞) (1 / 4 + 1/n)

As n approaches infinity, the term 1/n approaches zero, leaving us with:

lim(n→∞) 1 / 4 = 1/4

Since the limit of the sequence is a finite value (1/4), we can conclude that the sequence {an} = 5n/4n + 1 is convergent.

In other words, as n gets larger and larger, the terms of the sequence {an} get closer and closer to the limit of 1/4. This indicates that the sequence approaches a fixed value and does not exhibit wild oscillations or diverge to infinity. Therefore, we can say that the sequence is convergent.

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Answer:

Step-by-step explanation:

X = 64.

x^(1/2) = 8

\(\sqrt{x} = 8^{2}\)

Therefore, x = 64

Answer:

D. 64

Step-by-step explanation:

x^1/2 = 8

√x = 8

√64 = 8

x = 64

Answer: X= 3/4

Simplified: 1/3

The preferred stockholders are entitled to receive their dividend of $1.60 per share, regardless of whether or not Jim Corporation was able to pay it in the previous years.

Therefore, the total dividend amount for the preferred stockholders is:

10,000 shares x $1.60 per share = $16,000

To determine how much each class of stock receives in dividends, we need to subtract the total preferred stock dividend from the total dividend amount of $550,000:

$550,000 - $16,000 = $534,000

This remaining amount is the dividend available for the common stockholders. To calculate how much each common stockholder will receive, we need to divide this amount by the total number of common shares:

$534,000 ÷ 65,000 shares = $8.22 per share

Therefore, each class of stock receives the following dividends:

Preferred stock: $16,000
Common stock: $8.22 per share

Jim Corporation's cumulative preferred stockholders receive $1.60 per share. There are 10,000 shares of preferred stock, so the total annual preferred dividend is $1.60 x 10,000 = $16,000.

Since the preferred dividends were not paid in 2013, 2014, and 2015, the company owes the preferred stockholders a total of $16,000 x 3 = $48,000 in dividends.

In 2016, the board of directors decided to pay out $550,000 in dividends. First, the preferred stockholders will receive their overdue dividends of $48,000. After paying the preferred dividends, there will be $550,000 - $48,000 = $502,000 left for distribution.

Next, the preferred stockholders will receive their 2016 dividends of $16,000, leaving $502,000 - $16,000 = $486,000 for common stockholders.

So, the preferred stock receives $48,000 (past due) + $16,000 (current) = $64,000 in dividends, and the common stock receives $486,000 in dividends.

Dividends:
Preferred stock: $64,000
Common stock: $486,000

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1. The mean of a dataset represents the average value of the entire set of numbers. It is calculated by adding up all the values and dividing by the number of values in the dataset. Knowing the standard deviation of a dataset adds information about how much the values deviate from the mean.

A high standard deviation indicates that the values are more spread out from the mean, while a low standard deviation indicates that the values are closer to the mean. It can help to identify outliers and the overall variability of the dataset.

2. A p-value is a statistical measure that helps to determine whether the null hypothesis (there is no significant difference between two groups) is true or false.

It is the probability of obtaining a result as extreme or more extreme than the observed result, assuming that the null hypothesis is true. A p-value of less than 0.05 (typically) is considered statistically significant, which means that there is strong evidence to reject the null hypothesis and accept the alternative hypothesis (there is a significant difference between the two groups).

3. Alpha is the level of significance that is set to determine whether a p-value is statistically significant or not. It is typically set at 0.05, which means that if the p-value is less than 0.05, then the result is considered statistically significant and the null hypothesis is rejected.

If the p-value is greater than 0.05, then the result is not statistically significant and the null hypothesis cannot be rejected. In summary, alpha and p-value are related because alpha sets the threshold for determining whether a p-value is statistically significant or not.

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Answer: Let's solve this problem step by step.

First, let's assume the salaries of An and B to be 5x and 3x, respectively, where x is a common multiplier.

According to the given information, they save Rs. 2600 and Rs. 1800, respectively. Since savings come from the remaining portion of their incomes after spending, we can calculate their expenditures as follows:

For An:

Income of An = Salary of An + Savings of An

Income of An = 5x + 2600

For B:

Income of B = Salary of B + Savings of B

Income of B = 3x + 1800

Now, let's consider the proportion of their expenditures. It is given that the proportion of their expenditures is 9:5. So, we can write the following equation:

(Expenditure of An)/(Expenditure of B) = 9/5

Since expenditure is the complement of savings, we have:

[(Income of An - Savings of An)] / [(Income of B - Savings of B)] = 9/5

Substituting the previously derived expressions for income, we get:

[(5x + 2600 - 2600)] / [(3x + 1800 - 1800)] = 9/5

Simplifying the equation, we have:

5x / 3x = 9/5

Cross-multiplying, we get:

5 * 3x = 9 * 3x

15x = 27x

Subtracting 27x from both sides, we have:

0 = 12x

This implies that x = 0, which is not a valid solution. Therefore, there seems to be an error or inconsistency in the given information or equations. Please recheck the problem statement or provide additional information to help resolve the issue.

Answer: All real numbers

Step-by-step explanation:

I assume you meant f(x)=2x+5.

In this case, the range is all real numbers, since all linear functions have a range of all real numbers.

Answer:

0.04 mol/ Liter

Step-by-step explanation:

If you have 8.1 grams of NaOH in 5 L of solution, what is the molarity? (Round answers to the nearest hundredth)

The formula for molarity = Number of moles/ Volume in Liters

Step 1

Find the Number of moles of NaOH

We find the Molar mass of NaOH

Na = 23, O = 16, H = 1

Molar mass = 23 + 16 + 1 = 40 g/mol

Grams of NaOH in the solution = 8.1 grams

Number of moles = Mass/Molar mass

= 8.1 g/40 g/mol

= 0.2025 moles

Step 2

Molarity = 0.2025moles/ 5 L

= 0.0405 mol/ Liter

Approximately = 0.04 mol/L

Answer:24cm2 is your answer Hope this helped you out.

Step-by-step explanation:L=3

W=2 and H=4 So ignore the letters. Those do not matter they are just trying to throw you off. Focus on the numbers. You need to multiply them. 3x4=12 12x2=24.

When carpet sells for $4 per square foot and will cost you $616 to carpet your rectangular room, if you room is 14 feet long then the width is 11 feet

Given,

The cost of Carpet per square foot = $4

Total cost of the carpet = $616

We know

Area of the rectangle = Length × Width

Length = 14 feet

Consider the width of the rectangular room as x

Then the area of the room = 14x

Total cost of carpet = Area of the rectangular room× Cost of carpet per foot

Substitute the values

14x×4=616

14x=154

x=11 feet

Hence, When carpet sells for $4 per square foot and will cost you $616 to carpet your rectangular room, if you room is 14 feet long then the width is 11 feet

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If we pick four toppings on the pizza, then the number of  ways that quadruple pizza can be made if four toppings must be different is 210.

If the 4 toppings on the quadruple pizza must be different, then we need to choose 4 toppings out of 10 available toppings, without repetition.

In this case, we have n = 10 (the total number of toppings) and

⇒ r = 4 (the number of toppings to be chosen for the pizza).

So, the number of different quadruple pizzas that can be made is:

⇒ ¹⁰C₄ = 210;

Therefore, there are 210 different quadruple pizzas that can be made with four different toppings out of the ten available toppings.

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Answer:

−7.5. −7. −6.5. −6. −5.5. −5. −4.5.

Step-by-step explanation:

Answer: $7.65 for a dozen/12

Step-by-step explanation: 2.55 x 3

This proves that the sum of 1/2n(n+1) + 1/2(n+1)(n+2) is always a square number.

When a number is multiplied by itself, the result is a square number. As an illustration, 25 is a square number as it is composed of 5 groups of 5, or 5 x 5. A square number, sometimes known as a perfect square, is an integer that is the square of another integer, or the result of multiplying another integer by itself. For instance, 9 is a square number as it equals 32 and is represented by the symbols 3.

Here,

Find the sum:

=1/2n(n+1) + 1/2(n+1)(n+2)

=1/2(n² + n) + 1/2(n² + 3n + 2)

=1/2(n² + n + n² + 3n + 2)

=1/2(2n² + 4n + 2)

=n² + 2n + 1

=(n + 1)²

This demonstrates that 1/2n(n+1) + 1/2(n+1)(n+2) is always a square number when added together.

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The mean and the standard deviation of the binomial variable are given as follows:

The binomial distribution formula gives the probability of obtaining a specific number of successes in a fixed number of independent trials, where each trial has only two possible outcomes (success or failure) and the probability of success is constant throughout the trials.

The mass probability formula(PMF) is given by the equation presented as follows:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters, along with their meaning, are listed as follows:

The parameter values for n and p in this problem are given as follows:

n = 3, p = 0.6.

The mean of the binomial distribution is given by the following equation:

E(X) = np.

Hence:

E(X) = 3 x 0.6

E(X) = 1.8.

The standard deviation of the binomial distribution is given by the following equation:

\(\sqrt{V(X)} = \sqrt{np(1 - p)}\)

Hence:

\(\sqrt{V(X)} = \sqrt{3 \times 0.6 \times 0.4}\)

\(\sqrt{V(X)} = 0.8485\)

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Answer:

6 + 10x < -23

Step-by-step explanation:

6 increased by (+) 10x (the product of a number and 10) < (is less than) -23

Answer:

∠A = 120° (180°-60°)

∠W = 60° (b/c ∠W=∠X)

∠Y = 100° (b/c 180°-80°)

∠X = 60° (180°-120°)

∠Z = 120° (180-60°)

Step-by-step explanation:

im unsure about A and W

Answer:

We can select the range i12:i14 and simultaneously insert the frequency function in all of the cells to determine the frequency that employees reach their milestone goals based on the criteria in the range h12:h14 This can be answered by the concept of Percentage.

To determine the frequency that employees reach their milestone goals based on the criteria in the range h12:h14 and calculate the results as percentages, we need to select the range i12:i14 and insert the frequency function in all of the cells.

To follow the steps mentioned in the question, we need to perform the following:

Select the range i12:i14 by clicking on cell i12, dragging down to cell i14 while holding down the left mouse button.

Click on the formula bar at the top of the screen and type the following formula: "=FREQUENCY(Data!D2:D100,H12:H14)/COUNT(Data!D2:D100)*100". Here, "Data!D2:D100" is the range of data where the milestone goals are recorded, and "H12:H14" is the range of criteria we want to use to determine whether an employee has reached their milestone goal.

Press "Ctrl+Shift+Enter" to enter the formula as an array formula. This will insert the frequency function in all of the cells in the selected range.

The results will be displayed as percentages, which can be formatted using the percentage format option in the "Home" tab.

Therefore, by following these steps, we can select the range i12:i14 and simultaneously insert the frequency function in all of the cells to determine the frequency that employees reach their milestone goals based on the criteria in the range h12:h14 and calculate the results as percentages.

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Answer:

See below

Step-by-step explanation:

Arrange the list in ascending order

16 800   18400    19 950    23 400    26 500    47 800

MEDIAN is the middle number ...since there are TWO in the middle it is the average of the two    (19950 + 23400) /2 = 21675

MEAN is the average...add all of the numbers and divide by 6

   = 25475

Answer:

Below.

Step-by-step explanation:

A linear function contains a variable of the first  degree  only - for example f(x) = 2x - 1 or f(z) = 3z.

So y = x + 5 is linear.

Answer: A

Step-by-step explanation: pretty sure lol

Answer:

The graph of \(y = ax^2+c\) contains the point (2, 14).

Step-by-step explanation:

Answer:

-10x + 11/x

Step-by-step explanation:

I think you mean to simplify

1/3x(5+(7)(4))-10

= -30x + 33/3x

= -10x + 11/x

In the theater, that have 1,464 seats.

1426 seats are in "regular" sections

38 seats are  "premium" front-row section

The seat arrangement is solved by division. In this case the 62 equal spaced is the divisor while the number of seats is the in each row is the quotient

The division is as follows

1464 / 62

= 23 19/31

The number of seats in the regular section is 23 * 62 = 1426

The remainder will be arranged in premium front row

using equivalent fractions

19 / 31 = 38 / 62

the remainder is 38 and this is the seat for the premium front row section

OR 1464 - 1426 = 38 seats

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