Ariana is going to invest in an account paying an interest rate of 1.9% compounded monthly. How much would Ariana need to invest, to the nearest ten dollars, for the value of the account to reach $110,000 in 14 years?

Answer:  (1) A    (2) C    (3) B    (4) D      (5) E

Step-by-step explanation:

Use the following conversions:

1 rev = 2π

1 hr = 60 min

1 min = 60 sec

1 mi = 5280 ft

\(1)\qquad \dfrac{40\ rev}{min}\times \dfrac{2\pi}{1\ rev}\times \dfrac{1\ min}{60\ sec}=\large\boxed{\dfrac{4\pi}{3}}\longrightarrow A\)

\(2)\qquad \dfrac{80\ rev}{hr}\times \dfrac{1\ hr}{60\ min}=\large\boxed{\dfrac{4}{3}}\longrightarrow C\)

\(3)\qquad \dfrac{55\ mi}{hr}\times \dfrac{5280\ ft}{1\ mi}\times \dfrac{1\ hr}{60\ min}\times \dfrac{1\ min}{60\ sec}=\large\boxed{\dfrac{242}{3}}\longrightarrow B\)

\(4)\qquad \dfrac{8\ rad}{min}\times \dfrac{1\ rev}{2\pi}=\large\boxed{\dfrac{4}{\pi}}\longrightarrow D\)

\(5)\qquad \dfrac{240\ rev}{hr}\times \dfrac{2\pi}{1\ rev}\times \dfrac{1\ hr}{60\ min}=\large\boxed{8\pi}\longrightarrow E\)

After six​ months, the​ subjects' symptoms are studied and compared. Answer parts​ are given below.

An assumption or concept is given as a hypothesis for the purpose of debating it and testing if it might be true.

Given:

A pharmaceutical company wants to test the effectiveness of a new allergy drug.

The company identifies 250 females​ 30–35 years old who suffer from severe allergies.

The subjects are randomly assigned into two groups.

One group is given the new allergy drug and the other is given a placebo that looks exactly like the new allergy drug.

After six​ months, the​ subjects' symptoms are studied and compared.

Here, 30-35 year-old girls are used to test the new allergy medication's effects.

(a)

Females between the ages of 30 and 35 who are the test subjects are the experimental units.

The new allergy medication, whose results are being studied, is the remedy.

It's best to choose C.

(b)

A bias may develop if a researcher or patient knows whether subjects received a medication or a placebo.

In this case, choice B is preferable.

(c)

If neither the researcher nor the subject knew whether they were receiving a medicine or a placebo, the study would be considered double-blind.

In this case, choice A is preferable.

Therefore, all the correct choices are given above.

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The complete question is given in the image.

Answer:

Blank 1: 97

Blank 2: 73

Step-by-step explanation:

This equation is shown on a straight line, which equals 180.

We can start by adding the two equations which together are equal to 180.

15x + 2 + 10x + 3 = 180

We can simplify it to 25x + 5 = 180

Now we can subtract 5 from both sides to get

25x = 175

Then we can divide both sides by 25 to get x = 7

Now we can plug in x for both angles

Angle RQS is 15x + 2, so 15*7=95 and the +2 is 97.

Angle TQS is 10x + 3 so 10*7=79 and the + 3 is 73

:D

Answer:

The answer is (-2/3)x + 4.. I have added a picture with the solution

Answer:

(6, 7)

Step-by-step explanation:

Answer:

6, 7

Step-by-step explanation:

Billy Joel is King

I need some chocolate milk

Otters are great

I enjoy jumping off buildings

Bang your Head

Answer:

multinomial

Step-by-step explanation:

polynomial are equal to multinomial

In the histogram you can see the number of data points because they are the ranges that lie on the x axis of the histogram, that is

You can also see that the range with the highest frequency is 60-69, that means that 60-69 is the modal interval, because it contains the data that is repeated the most

The colour of your eyes and your shoe size.

Option B is the correct answer.

Answer:

D)

Step-by-step explanation:

Answer:

Option b: 2 21/50 is equivalent to 2.42

Answer:

There's only one prism? But the answer is 366.

Step-by-step explanation:

39+39+27+27+117+117= 366

Answer:

368

Step-by-step explanation:

The length in dimension w of a right prism is approximately equal to 8.805 units.

In this question we must find the dimensions of a right prism with a rectangular base, whose volume formula is introduced below:

V = h · l · b

Where:

According to statement, we find the following conditions: h = w, l = b = 0.75 · w, V = 384, then we expand the previous formula as follows:

384 = w · (0.75 · w)²

384 = 0.5625 · w³

Finally, we clear the value of w by algebra properties:

w ≈ 8.805

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Answer:

43.96 pls like my answer and rate

Answer:36

Step-by-step explanation: 3X4 or 3 rectangles plus tow rectanges that = 12

Answer:

$36.75

Step-by-step explanation:

If you take the original cost 35.00 and add 5% to it, you would get 36.75. If you think about it, it has to be above $35 since the sales tax would be more.

Answer: A - $36.75

Step-by-step explanation: Used a sale tax calculator. Hope this helps!

Answer: The answer would be 16.

Step-by-step explanation:

\(a^{2} +b^{2} =c^{2} \\11^2+12^2=c^2\\121+144=c^{2} \\\sqrt{265} =\sqrt{c^2} \\c=16.27\\c=16\)

16 is the smallest possible whole number for the length of the third side. By using the Pythagorean Theorem, we are able to find the third side.

Answer:

sec² [㏑(ax + b)] X a/(ax +b)

Step-by-step explanation:

chain rule is if y = f(c) and z = f(e), and y = f[f(e)], then:

dy/de = dy/dc X dc/de

This might look complicated. Much easier with example, as in this question.

y = tan [㏑(ax + b)]

y = tan (u),

where u =㏑(v), v = ax + b

so we have y = tan (u), u = ㏑(v), v = ax + b.

dy/du = sec² (u), du/dv = 1/v, dv/dx = a.

dy/dx = dy/du X du/dv X dv/dx

        = sec² (u) X (1/v) X a

        = sec² [㏑(v)] X (1/(ax + b)) X a

        = sec² [㏑(ax + b)] X a/(ax + b)

The correct answer of joint hypotheses on multiple regression coefficients ption (D) is the exception in this case.

In multiple regression analysis, joint hypotheses involve the null hypothesis of equality or inequality between two or more regression coefficients.

Option (A) H0: 3/2 = 1 and 4 = 0 is an example of a joint hypothesis that involves the null hypothesis of equality between two regression coefficients.

Where the coefficients are 3/2 and 1, and another null hypothesis of inequality between a coefficient and zero, where the coefficient is 4.

Option (C) H0: 1 = −2 and 1 + 2 = 1 is an example of a joint hypothesis that involves the null hypothesis of equality between a coefficient and a negative value.

Where the coefficient is 1, and another null hypothesis of equality between the sum of two coefficients and a value, where the coefficients are 1 and 2.

Option (D) H0: 2 = 0 and 3 = 0 is an example of a joint hypothesis that involves the null hypothesis of equality between two coefficients and zero, where the coefficients are 2 and 3.

However,

Option (B) H0:1 + 2 = 1 is not a joint hypothesis involving regression coefficients.

It is simply an equation involving two constants, 1 and 2, and the null hypothesis states that their sum is equal to 1.

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The correct statement is: The absolute frequency of Vanilla is 3 and its relative frequency is 0.33.

In the given ice cream orders, Vanilla appears 3 times. This count of 3 represents the absolute frequency of Vanilla. Absolute frequency refers to the actual number of occurrences of a particular observation or event. To calculate the relative frequency of Vanilla, we divide its absolute frequency by the total number of observations. In this case, the total number of ice cream orders is 12. Thus, the relative frequency of Vanilla is 3/12, which simplifies to 0.25 or 25%.

Relative frequency represents the proportion or percentage of the total observations that a specific event or observation constitutes. It provides a standardized measure that allows for comparison across different data sets. In this context, Vanilla comprises 25% of the ice cream orders, indicating its relative popularity compared to other flavors in the sample.

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To solve this question, follow the steps:

1) Draw the segment AB = 5.5 cm using a ruler.

2) Draw the segment BC knowing that the angle ABC is 90º.

3) Draw the segment AC knowing that the angle BAC is 60º.

4) Connect the segments BC and AC.

5) Measure the length of AC using a ruler.

The triangle can be observed below:

Answer: the length of the segment AC is 11 cm.

Answer:

25 liters will last 82 minutes.

Step-by-step explanation:

All you have to do is divide 23 by 7 to get the minutes per liter.

This will get 3.285714285714286.

Next you multiply 3.285714285714286 by 25 and you get 82.14285714285714.

But since we need to round the answer by the closest minute the answer would be 82 minutes.

Hope this helped :D

Answer:

Given:

Use identity:

Apply to the given expression, substitute cosθ:

Square both sides:

Find cosθ:

Find tanθ:

Find cotθ:

Step-by-step explanation:

\( \sqrt{ - 64 } = - 8\)

so the answer you got pls mark branlist

Answer: a=2

7a=14

a=14/7

a=2

The equation of the line passing through M and perpendicular to PR would be y = -x + 6.

What is the equation of the line?

An equation of a line is a mathematical expression that describes the relationship between the variables x and y that defines the position of a point on the line. There are several ways to write the equation of a line, including slope-intercept form (y = mx + b), point-slope form (y - y1 = m(x - x1)), and standard form (ax + by = c).

The midpoint of a line segment is the point that is exactly halfway between the two endpoints of the line. To find the midpoint of a line segment, you need to take the average of the x-coordinates and the y-coordinates of the two endpoints.

Given the line segment Q(-6, 2) and R(10, 6), the midpoint is:

((-6+10)/2 , (2+6)/2) = (2,4)

So the midpoint of the line segment Q(-6, 2) and R(10, 6) is (2,4).

Now find the slope of PR = 6-(-4)/10 = 10/10=1

Hence, the slope of the line passing through M and perpendicular to PR would be = -1.

Now we can form the equation of the line:

y - 4 = -1(x - 2)

y - 4 = -x + 2

y = -x + 6

Hence, the equation of the line passing through M and perpendicular to PR would be y = -x + 6.

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Answer:

n = 5m + 10 = 5(m + 2), since m + 2 is an integer, then the n is divisible by 5.

Step-by-step explanation:

Answer:

Natural numbers are simply positive integers.  For now, refer to the middle number (the third number), as x.  Thus, the numbers are: x - 2, x - 1, x, x + 1, and x + 2.  Simply add all these numbers to get 5x, a number that is divisible by 5.  As such, you can conclude that any 5 consecutive numbers are divisible by 5, and the quotient would be the third, or middle number.

Hope it helps :) and let me know if you want me to elaborate.

Answer:

(8, 6 )

Step-by-step explanation:

Given the 2 equations

2x + 3y = 34 → (1)

3x + 2y = 36 → (2)

Multiplying (1) by 3 and (2) by - 2, then adding will eliminate the x- term

6x + 9y = 102 → (3)

- 6x - 4y = - 72 → (4)

Add (3) and (4) term by term to eliminate x, that is

5y = 30 ( divide both sides by 5 )

y = 6

Substitute y = 6 into either of the 2 equations and solve for y

Substituting into (1)

2x + 3(6) = 34

2x + 18 = 34 ( subtract 18 from both sides )

2x = 16 ( divide both sides by 2 )

x = 8

solution is (8, 6 )