In 2005, Cory put $5,000 in an account that grows in value by 3.7% per year. what is the value of the account in 2020?

The  product of prime polynomials which is equivalent to 30x3 – 5x2 – 60x is option C) 5x(2x – 3)(3x + 4).

We have 30x³ - 5x² - 60x

We take common value out so

5x(6x² - x - 12)

By following the factorization method we get,

6x² - x - 12

b²-4ac = -1² - 4x6x(-12)

= 289

x = -b ± √289/2a

= 1 ± 17/-2

x = 3/2 or x = -4/3

So,

6x² - x - 12

6(x-3/2)(x-(-4/3))

(2x-3) (3x+4)

Therefore,

30x³ - 5x² - 60x = 5x(6x² - x - 12)

= 5x (2x-3) (3x+4)

The  product of prime polynomials is equivalent to 30x3 – 5x2 – 60x is 5x(2x – 3)(3x + 4).

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Answer:

2x - 2y or x -2y or 0pick one out of the three

Answer:

B

Step-by-step explanation:

So we have the equation:

\(4xz-4yz=5\)

And we want to find the value of 5/4x in terms of x and y.

From our original equation, let's factor out a 4z from the left. So:

\(4z(x-y)=5\)

Now, divide both sides by 4z:

\(x-y=\frac{5}{4z}\)

Therefore, the expression that represents 5/4z is x-y.

The correct answer is B.

The derivative of y with respect to x, denoted as y', is equal to (3x^2 - 1)/(2√6x).


To find the derivative of y with respect to x (y'), we can use the power rule and the chain rule of differentiation. Let's break down the steps:

First, apply the power rule to differentiate x^2, which gives us 2x.

Next, we differentiate the expression √6x - 1 using the chain rule. The derivative of √6x with respect to x is (√6)/2√x, obtained by differentiating the inside function (6x) and multiplying it by the derivative of the inside function (1/2√x).

The derivative of -1 with respect to x is 0 since it is a constant.

Combining these results, we have y' = 2x * (√6)/2√x - 0 = (√6x)/(√x) = √6x.

Therefore, the derivative of y with respect to x, y', is equal to (3x^2 - 1)/(2√6x).

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Answer:

this here is your answera good question

Answer:

what's the question tho?

Step-by-step explanation:

Answer:

3, 6, 9 (the multiples of three within 11)

3 out of 11 numbers are multiples of 3

so you have a 3 out of 11 probability to grab a multiple of three

3/11 is your answer

Step-by-step explanation:

Probability of picking a ball of multiple of 3 is equals to (3/11).

" Probability is a mathematical expression which represents the ratio of number of favourable outcomes to the total number of outcomes."

Formula used

Probability = \(\frac{Number of favourable outcomes}{Total number of outcomes}\)

According to the question,

'B' represents the ball

Possible outcomes = { B₁, B₂, B₃, ...., B₁₀, B₁₁}

favourable outcomes multiple of 3 = { B₃, B₆, B₉}

Total number of outcomes= 11

Number of favourable outcomes = 3

Substitute the value in the formula we get,

Probability of picking ball multiple of 3 = ( 3 / 11)

Hence, probability of picking a ball of multiple of 3 is equals to (3/11).

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For each additional worker hired beyond the current level of 50, the firm's daily profit will decrease by $50.

To calculate the marginal product at an employment level of 50 workers, we need to find the derivative of the profit function with respect to the number of workers, n.

Taking the derivative of the profit function P = -600n + 25n^2 - 0.005n^4, we get dP/dn = -600 + 50n - 0.02n^3.

Substituting n = 50 into the derivative, we find dP/dn = -600 + 50(50) - 0.02(50)^3 = -600 + 2500 - 250000 = -247100.

Therefore, the marginal product at an employment level of 50 workers is -247100, or -$247100. However, since we are asked to interpret the result in dollars, we consider the absolute value, which is $247100.

Interpreting the result, this means that for each additional worker hired beyond the current level of 50, the firm's daily profit will decrease at a rate of $247100. In other words, the firm experiences diminishing returns to labor, where the additional benefit gained from each additional worker is diminishing and leads to a decrease in profit.

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Answer:

6 students earned a d and 80% got other

Step-by-step explanation:

Answer:

6 students, 80% of students

Step-by-step explanation:

20% of her 30 students earned a D. To find exactly how many students earned a D, we can convert the 20% into a fraction and thereby multiply the fraction by 30.

\(20\)%\(=\)

\(\frac{20}{100}=\\\frac{1}{5}\)

Ok, \(\frac{1}{5}\) of Ms. Moore's 30 students earned a D. Let's multiply.

\(\frac{1}{5}*\frac{30}{1} =\\6\)

6 students in Ms. Moore's class earned a D.

Therefore, the rest of the class earned a different grade. \(30-6=24\) students had a different grade. To find the percentage, we simply divide by the total number of students and multiply by 100%

\(\frac{24}{30} =\\\frac{4}{5} =\\0.8=\)

\(80\)%

80% of students in Ms. Moore's class got a grade other than D.

I hope this helps! Let me know if you have any questions :)

The fraction of the occupied apartments is 9/10.

In mathematics, a fraction is a symbol for a rational number.

Let a and b be two numbers, then their fraction can be represented as a/b.

Given that,

Total apartments in the building = 200.

Also,

The number of apartments leased by realtor = 180

The fraction of the apartments which is occupied by realtor

= number of apartments leased /Total apartments

= 180 / 200

= 18 / 20

= 9 / 10

The required fraction is 9/10, implies that from each 10 apartments, 9 apartments are occupied.

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Answer:

here

x=2 then,

3*2^2 - 2*2+1

3*4-4+1

12-4+1

9

Step-by-step explanation:

Simplify:

3x^2 - 2x + 1

=> 3(2)^2 - 2(2) + 1 [∵ x = 2 (Given)]

=> 3(4) - 2(2) + 1

=> 12 - 4 + 1

=> 13 - 4

=> 9 Ans.

The probability that one bill for veterinary services costs between $53 and $125 is  0.866383

The probability that one bill for veterinary services costs between $42 and $133 will be given as follows P(53<x<125), Since the formula for calculating the z score is

z=(x-μ)/σ, where  μ is the mean, σ is the standard deviation

since we are provided with means of $89 and a standard deviation of $24.So the z score will be  :

for x =  53, z=(53-89)/24= -1.5

Therefore the probability  P(x<53) is  0.066807

Again for x = $125, x=(125-88)/24=1.54

Therefore , the probabiltiy P(x<125) is 0.93319

The probability that one bill for veterinary services costs between $53 and $125, P(53<x<125) is :

=0.93319-  0.066807

=0.866383

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Answer:

C because i had this before and got it right

The value of the given triple integral is 27. We are supposed to evaluate the given triple integral. We have, ∭ E ydV= ∭ E y dx dy dz.

The given triple integral is ∭ E ydV,

where E={(x,y,z)∣0≤x≤3,0≤y < x^2,0≤z≤x}.

Explanation: We are supposed to evaluate the given triple integral. We have,

∭ E ydV= ∭ E y dx dy dz.

For the given limits of the integral, we have 0 ≤ x ≤ 3, 0 ≤ y < x² and 0 ≤ z ≤ x.

We can then convert the limits of y in terms of x as, 0 ≤ y < x², implies 0 ≤ y ≤ x² and 0 ≤ x ≤ √y.

Now the triple integral becomes, ∭ E y dx dy dz = ∫₀³ dx ∫₀x² dy ∫₀x y dz.

By integrating with respect to z, we get, ∭ E y dx dy dz= ∫₀³ dx ∫₀x² dy [ y²/2]₀ˣ.

Substituting the limits of y, we get, ∭ E y dx dy dz= ∫₀³ dx ∫₀x² dy [ y²/2]₀ˣ= ∫₀³ dx ∫₀x dy x⁴/2.

By integrating with respect to y, we get,

∭ E y dx dy dz

= ∫₀³ dx ∫₀x dy x⁴/2

= ∫₀³ (x⁴/2)(x) dx

= ∫₀³ (x⁵/2) dx

= [(x⁶/12)]₀³

= (3⁶/12) = 27.
Hence, the value of the given triple integral is 27.

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Answer:

a 2x² because all the others are just x... we actually just learned this

Scenario 1A:

Coinsurance amount is $90

Medicare payment is $360

Provider write-off is $290

Scenario 1B:

Remaining amount for Insurance and patient to pay is $350

Coinsurance amount is $70

Total paid by patient is $170

Medicare payment is $280

Provider write-off is $370

Scenario 1A:

Submitted charge: $650

Medicare participating physician fee schedule (PFS): $450

Coinsurance amount (20% paid by patient): $

Medicare payment (80% of the PFS): $

Provider write-off: $

To calculate the missing amounts, we can use the provided information:

Coinsurance amount (20% paid by patient):

Coinsurance amount = 20% of the Medicare participating physician fee schedule (PFS)

Coinsurance amount = 0.2 * $450 = $90

Medicare payment (80% of the PFS):

Medicare payment = 80% of the Medicare participating physician fee schedule (PFS)

Medicare payment = 0.8 * $450 = $360

Provider write-off:

Provider write-off = Submitted charge - Medicare payment

Provider write-off = $650 - $360 = $290

Scenario 1B:

Submitted charge: $650

Medicare participating physician fee schedule (PFS): $450

Patient pays $100 remaining on their deductible

Remaining amount for Insurance and patient to pay: $

Coinsurance amount (20% of remaining amount): $

Total paid by patient (deductible & 20% of remaining): $

Medicare payment (80% of the remaining amount): $

Provider write-off: $

To calculate the missing amounts, we can use the provided information:

Remaining amount for Insurance and patient to pay:

Remaining amount for Insurance and patient to pay = PFS - remaining deductible

Remaining amount for Insurance and patient to pay = $450 - $100 = $350

Coinsurance amount (20% of remaining amount):

Coinsurance amount = 20% of the remaining amount

Coinsurance amount = 0.2 * $350 = $70

Total paid by patient (deductible & 20% of remaining):

Total paid by patient = remaining deductible + coinsurance amount

Total paid by patient = $100 + $70 = $170

Medicare payment (80% of the remaining amount):

Medicare payment = 80% of the remaining amount

Medicare payment = 0.8 * $350 = $280

Provider write-off:

Provider write-off = Submitted charge - Medicare payment

Provider write-off = $650 - $280 = $370

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Answer:

A. x + y = 4000

   5x + 3y = 15000

Step-by-step explanation:

Total amount raised = $15000

cost of adult tickets = $5

cost of student tickets = $3

Total number of tickets sold = 4000

number of adult tickets sold = x

number of student tickets sold = y

Then we can say,

total number of ticket sold = number of adult tickets + number of student tickets

4000 = x + y

⇒ x + y = 4000 ............. 1

Also,

5x + 3y - 15000 ............. 2

the equations required are:

x + y = 4000

5x + 3y - 15000

Answer:

To multiply square roots, we multiply the numbers inside the radical. Any numbers outside the radical are also multiplied.

Step-by-step explanation:

Answer:

A data type is an attribute associated with a piece of data that tells a computer system how to interpret its value

Step-by-step explanation:

Data types categorize data and specify its nature, amount characteristics, and behavior. It decides how data is handled within a computer system in terms of storage and manipulation.

Data types categorize data and specify its nature, characteristics, and behavior. It is a crucial part of every data structure and computer language. Primitive data types and complex data types are the two basic divisions of data types. Basic types like numbers, characters, booleans, and strings are examples of primitive data types. Arrays, objects, and records are examples of sophisticated data types that are more complex. Data types specify how information is handled and stored by computer systems. Size, precision, and range are a few examples of the unique qualities that each data type possesses. The arithmetic, comparison, and logic operations that can be carried out on the data are also determined by the data types.

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The correct answer is option (c): computed value. Whenever a percentage, average or some other analysis value is computed with a sample's data, we refer to it as a computed value.

When analyzing data from a sample, we often calculate various statistical measures to summarize and make inferences about the population from which the sample is drawn. These measures can include percentages, averages, and other analysis values.

Option a. "A designated statistic" is not the appropriate term because it implies that the statistic has been assigned a specific role or designation, which may not be the case. The computed value is not necessarily designated as a specific statistic.

Option b. "A sample finding" is not the most accurate term because it suggests that the computed value represents a specific finding from the sample, whereas it is a general statistical measure derived from the sample data.

Option d. "A composite estimate" is not the best choice because it typically refers to combining multiple estimates to obtain an overall estimate. Computed values are individual measures, not a combination of estimates.

Therefore, the most suitable term is c. "Computed value," as it accurately describes the process of calculating statistical measures from sample data. It signifies that the value has been derived through mathematical calculations based on the data at hand.

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A 1% error in r will lead to a larger error in the volume.

A 1% error in r will cause a larger error in the volume, since the percentage increase in volume is proportional to the square of r.

The volume of a cylinder of radius r and height h is V = πr2h. The linear approximation to the volume of a cylinder is given by V ≈ πr2(h + r).

Thus, the percentage increase in volume when r and h are each increased by c is given by 100% × (Vnew - Vold) / Vold = 100% × (π(r + c)2(h + c + r) - πr2h) / πr2h = 200c/r + 100c/h.

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The volume of the given cone with a height of 17.3 and a diameter of 10.4 is  489.87 cubic cm

The volume of any cone can easily be determined by the formula (pi*r*r)*(h/3) where pi has the value of 3.14, 'r' is the radius of the cone, and 'h' is the given height of the cone.

Here in the given question, we can see that the height(h) given here is 17.3cm and the diameter is 10.4cm with which we can find the radius because we know the radius is the half of diameter so 'r' will be 5.2cm.

Now just putting the values of 'h' and 'r' in the given formula (pi*r*r)*(h/3)  we get the volume of the cone which is 489.87 cubic cm.

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Answer:

Step-by-step explanation:

here,

height h= 17.3cm

diameter= 10.4cm

therefore, radius r will be 5.2cm

pi= 3.14

solution:

volume v of cone= 1/3*pi*r2*h

= 1/3*3.14*5.2*5.2*17.3 cm3

= 489.7 cm3

explanation:

here, it is given that the height is 17.3cm and the radius is 5.2cm. we know that the formula for finding the volume of a cone is 1/3*pi*r2*h.

Answer:

30

Step-by-step explanation:

Step 1:

5x + 10 = 6x - 20       Equation

Step 2:

10 = x - 20        Subtract 5x on both sides

Step 3:

10 + 20 = x        Add 20 on both sides

Answer:

x = 30

Hope This Helps :)

Answer: x=30

Step-by-step explanation:

A scatter plot would be more appropriate to help predict how many pages a 14-year-old reads.

A scatter plot is a graph that uses dots to represent values for two different variables. In this case, we have two variables: age and number of pages read per day.


By plotting the data points on a scatter plot, we can visualize any relationship between age and the number of pages read. Additionally, we can use the scatter plot to draw a line of best fit, which can be used to make predictions about how many pages a 14-year-old student may read.

On the other hand, a histogram would only show the distribution of the number of pages read and may not be as useful in predicting the number of pages a 14-year-old reads.


From the scatter plot, we can see that as age increases, the number of pages read per day tends to increase as well. Therefore, we can use the trend line to make a prediction about how many pages a 14-year-old read. The equation of the trend line is:

Pages read per day = 1.68 x Age - 1.49

Plugging in 14 for age, we get:

Pages read per day = 1.68 x 14 - 1.49 = 22.83

Therefore, we can predict that a 14-year-old would read about 23 pages per day on average.


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Answer:

Step-by-step explanation:

8.421 is greater than 5.4 because...

8.421 - 5.4 = 3.021

If the number was a negative when

you would subtract it, then it would

be less than the other number.

Since it's a positive number, the

number is greater than 5.4

Hope this helps! <3

I think it's how the shading goes all the way to x=5.

Answer:

5. x = 25.6

6. x = 11.0

7. x = 41.8°

8. x = 64.2°

9. x = 12.8°

10. x = 51.3°

Step-by-step explanation:

Let's find the x value for each triangle.

For point 5      

We have:

x: is the opposite cathetus to 52°  

20: is the adjacent cathetus to 52°  

52°: is the angle

We can find "x" with the following trigonometric function:

\( tan(52) = \frac{x}{20} \)

\( x = tan(52)*20 = 25.6 \)

For point 6      

We have:

x: is the hypotenuse  

5: is the opposite cathetus to the given angle  

27°: is the angle

To find "x" we need to use the trigonometric function:

\( sin(27) = \frac{5}{x} \)

\(x = \frac{5}{sin(27)} = 11.0\)

For point 7

We know:

x°: is the angle

6: is the hypotenuse

4: is the opposite cathetus to x°

Hence, x is:

\( sin(x) = \frac{4}{6} \)

\( x = sin^{-1}(\frac{4}{6}) = 41.8 \)

For point 8    

We have:

x°: is the angle

14: is the adjacent cathetus to x°

29: is the opposite cathetus to x°

To calculate "x" we need to use the trigonometric function tan(x):

\( tan(x) = \frac{29}{14} \)

\( x = tan^{-1}(\frac{29}{14}) = 64.2 \)

For point 9    

We have:

x°: is the angle

54: is the hypotenuse

12: is the opposite cathetus to x°

We can use sin(x) to solve for x:

\( sin(x) = \frac{12}{54} \)

\( x = sin^{-1}(\frac{12}{54}) = 12.8 \)

For point 10  

We have:

x°: is the angle

40: is the hypotenuse

25: is the adjacent cathetus to x°

We need to use cos(x) to solve for x:

\( cos(x) = \frac{25}{40} \)  

\( x = cos^{-1}(\frac{25}{40}) = 51.3 \)

I hope it helps you!

To solve the given questions, either of the trigonometric functions; sine, cosine and tangent of an angle has to be applied appropriately to either of the questions. The answers to the questions are:

5. x = 25.60

6. x = 11.00

7. x = \(41.8^{o}\)

8. x = \(64.2^{o}\)

9. x = \(12.8^{o}\)

10. x = \(51.3^{o}\)

The questions given are right angled triangles which requires the application of trigonometric functions appropriately. A right angle triangle is one that has one of its angles to be \(90^{o}\).

So, each of the questions can be solved as follows:

5. Tan θ = \(\frac{opposite}{adjacent}\)

Tan 52 = \(\frac{x}{20}\)

⇒  x = Tan 52 * 20

       = 25.5988

x = 25.60

6. Sin θ = \(\frac{opposite}{hypotenuse}\)

Sin 27 = \(\frac{5}{x}\)

⇒ x = \(\frac{5}{Sin 27}\)

       = 11.0134

x = 11.00

7. Sin θ = \(\frac{opposite}{hypotenuse}\)

Sin x = \(\frac{4}{6}\)

        = 0.66667

x = \(Sin^{-1}\) 0.66667

  = \(41.8^{o}\)

x = \(41.8^{o}\)

8. Tan θ = \(\frac{opposite}{adjacent}\)

Tan x = \(\frac{29}{14}\)

          = 2.0714

x = \(Tan^{-1}\) 2.0714

  = \(64.2^{o}\)

x = \(64.2^{o}\)

9. Sin θ = \(\frac{opposite}{hypotenuse}\)

Sin x = \(\frac{12}{54}\)

        = 0.22222

x = \(Sin^{-1}\) 0.22222

  = \(12.8^{o}\)

x = \(12.8^{o}\)

10. Cos θ = \(\frac{adjacent}{hypotenuse}\)

Cos x = \(\frac{25}{40}\)

         = 0.625

x = \(Cos^{-1}\) 0.625

  = \(51.3^{o}\)

x = \(51.3^{o}\)

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