What interest will be earned if $9,000 is invest for 4 years at 12% compounded monthly? Round to 2 decimals.

The length of the missing side (hypothenuse) is equal to 5

"Information available from the question"

Opposite side of the triangle(y) = 3

Adjacent side of the triangle (z)= 4

Hypothenuse side of the triangle = x

Pythagorean Theorem

This formula is used to find the missing side of a right angle triangle if two sides are given.

\(x^{2} =y^2+z^2\)

Let's substitute the values into the formula and solve for the hypothenuse

\(x^{2} =3^2+4^2\)

\(x^{2}\) = 9 + 16

\(x^{2}\) = 25

\(x=\sqrt{25}\)

x = 5

The length of the missing side (hypothenuse) is equal to 5.

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Answer:

y = 2x2

y + 3x = 2x2 – 8

Step-by-step explanation:

The equations that are quadratic in nature are -

A quadratic equation is a equation that is of the form -

y = f{x} = ax² + bx + c.

Given are the set of equations.

A quadratic equation is a equation of degree 2. The equation with degree 2 are -

Therefore, the equations that are quadratic in nature are -

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Answer: y=x+2

Step-by-step explanation:

ok, so the points from the graph in the picture that i used were (0, 2) and (-2, 0).

(0, 2) is the y-intercept, which will replace b.

y=mx+2

the slope of the line is 1.

y=1x+2

y=x+2

Answer:

12

Step-by-step explanation:

49 - 37 = 12

or

It takes 12 jumps to get from 37 (a) to 49 (c)

The area of the triangle RTS will be (8×4) - 1/2 (16+12+10). Then the correct option is A.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

We start by drawing a rectangle around the triangle as shown in the diagram below.

Area of the RST = area of the rectangle - (area of triangle A + area of triangle B + area of triangle C)

\(\rm Area\ of\ RST = (8 \times 4) - [(\dfrac{1}{2} \times 8 \times 2) + (\dfrac{1}{2} \times 4 \times 3) + (\dfrac{1}{2} \times 5\times 2)]\\\\\\Area\ of\ RST = (8 \times 4) - \dfrac{1}{2} (16 + 12 + 10)\)

The area of the triangle RTS is (8×4) - 1/2 (16+12+10).

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Answer:Option A

Step-by-step explanation:

The worth of expression at x = - 5 and y = - 2 is,

⇒ 1/3

A numerical expression is characterized as the assortment of numbers factors and works by utilizing operations like expansion, deduction, multiplication, and division.

Considering that;

The expression is,

⇒ ([x/(y - 1)](- 4) - [xy + (- 3)]/(- 1)

Presently, We can place x and y in the above expression as;

⇒ ([x/(y - 1)](- 4) - [xy + (- 3)]/(- 1)

⇒ [- 5/(- 2 - 1) ] (- 4) - [-5×-2 + (- 3)]/(- 1)

⇒ [ - 5/ - 3 ] (- 4) - [10 - 3]/(- 1)

⇒ - 20/3 + 7

⇒ 1/3

In this way, The worth of expression at x = - 5 and y = - 2 is,

⇒ 1/3

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H0: p=0.24 is the null hypothesis, whereas H1: p>0.24 is the alternative hypothesis.

To find out whether two proportions are different, compare them. The proportion of graduates with jobs is 281 ÷ 1120, or 0.25. It was 0.24 last year.

The null hypothesis states that 0.25 equals 0.24.

The alternate hypothesis states that 0.25 is not the same as 0.24.

The Chi-square test might potentially be employed in this situation. It would be possible to acquire a Pearson chi² value with one freedom degree and a probability. If the probability is smaller than the cutoff, such as less than 0.05, the null hypothesis is rejected.

However, the criteria are not just a percentage of the previous year's statistics. If the prior year's figures are insufficient, the chi-square analysis is inapplicable.

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The question is -

In a survey of 1120 new college graduates, 281 had a professional job on graduation day. One year ago the proportion of graduates with a professional job on graduation day was 24%. The setup of the null and alternative hypotheses to test whether there is sufficient evidence to conclude that the proportion of graduates with a professional job is higher now than it was one year ago is:

a) H0: p=.24  vs.  H1: p<.24

b) H0: p=.24   vs.  H1: p≠.24

c) H0: p=.24   vs.  H1: p>.24

d) H0: p=.25    vs.  H1: p<.25

e) H0: p=.25    vs.  H1: p>.24

Using the Poisson distribution formula, the probability of detecting a single network virus on a given day is approximately 0.1494 or 14.94%.

For the probability of seeing one network virus on any given day, we can use the Poisson distribution formula:

P(X = x) = (e^-λ * λ^x) / x!

Where:

P(X = x) is the probability of detecting x network viruses in a day

e is the mathematical constant e (approximately equal to 2.71828)

λ is the mean number of network viruses detected in a day

x is the number of network viruses detected in a day

Given that the mean number of network viruses detected in a day is 3.0, we have:

λ = 3.0

Now, the probability of detecting one network virus in a day, we plug x = 1 into the formula:

P(X = 1) = (e^-3.0 * 3.0^1) / 1!

= (0.0498 * 3.0) / 1 ⇒ 0.1494

Therefore, the probability of detecting one network virus on any given day is approximately 0.1494 or 14.94%.

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Answer:

The correct answer is 50.6195

Step-by-step explanation:

The probability that only girls bought lunches is given as D. 50%

To find the probability that only girls bought lunches, we solve:

We can see that the total number of girls is 30 and the total number of both boys and girls is 60

So, to solve, it becomes:

30/60= 50%

Probability is a mathematical concept used to measure the likelihood of an event occurring, ranging from 0 (impossible) to 1 (certain), and is calculated using ratios, frequencies, or subjective judgments.

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Two-tailed because there is no predicted direction of the difference. The correct answer is D.

In hypothesis testing, a one-tailed test is used when the researcher has a specific prediction about the direction of the effect. They expect the results to be either greater than or less than a certain value. However, in this scenario, the researcher simply wants to investigate whether the new type of exercise improves people's health without any specific directional prediction.

A two-tailed test is appropriate when the researcher wants to determine if there is a significant difference between the groups being compared, but without specifying the direction of the difference. In this case, the researcher wants to examine if the new exercise has any effect on health, whether it improves or worsens it. Therefore, a two-tailed test is suitable as it allows for the possibility of observing a significant difference in either direction.

Therefore, considering these factors, the researcher should conduct a two-tailed test to assess the potential impact of the new exercise on people's health. The correct answer is D.

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Answer:

a. 120 meters

b.5 seconds

c. 5 seconds

d. 40 meters

e. 2 seconds

Step-by-step explanation:

I hope this helps!

Answer:

hhhkkljooopjbhhhgiiijnnbbbb

Answer: for the first one it would be y=.8x-100 and the other answer would be 180

Let me know ASAP pls if it’s correct I found the answer online

Answer:

Full answer is

.8 for 1st one

and 360 for 2nd one

Step-by-step explanation:

Correct answer was given after wrong one.

Answer:

1. (1, 3), (2, 5), (2, 7) (4,9)  No

2. (1, 3), (2, 5), (3, 7) (4,9)  Function

3. (1, 3), (1,5), (1, 7) (4, 9)  No

4. (1,3), (2, 3), (3, 3) (4, 3)  Function

5. (1, 2), (2, 5), (2, 1) (4, 5) No

Step-by-step explanation:

If you see the same x-coordinate more than once in a relation, then that relation is not a function.

1. (1, 3), (2, 5), (2, 7) (4,9)  The 2 is used more than once as a x-coordinate. Not a function.

2. (1, 3), (2, 5), (3, 7) (4,9)  All x-coordinates are different. Function.

3. (1, 3), (1,5), (1, 7) (4, 9)  The 1 is used more than once as an x-coordinate. Not a function.

4. (1,3), (2, 3), (3, 3) (4, 3)  All x-coordinates are different. Function.

5. (1, 2), (2, 5), (2, 1) (4, 5) The 2 is used more than once as a x-coordinate. Not a function.

Answer:

y=3x+15

y=-3/5+2x/5

Step-by-step explanation:

I think this is what you wanted? I wasn't sure..

The expression \(du^2 = (dx)^2 + (dy)^2\) in polar coordinates can be derived using the given transformations u = f(x, y), x = r cos θ, and y = r sin θ.

In the given problem, we have u = f(x, y) and the transformations x = r cos θ and y = r sin θ, where r and θ represent the polar coordinates. We need to find the expression for \(du^2\).

Using the chain rule, we can express the differentials dx and dy in terms of dr and dθ:

dx = dr cos θ - r sin θ dθ,

dy = dr sin θ + r cos θ dθ.

Substituting these into the expression \(du^2 = (dx)^2 + (dy)^2\), we get:

\(\[du^2 = \left(dr \cos \theta - r \sin \theta d\theta\right)^2 + \left(dr \sin \theta + r \cos \theta d\theta\right)^2\]\).

Expanding and simplifying the above expression, we obtain:

\(\[ du^2 = (dr)^2 + r^2 (d\theta)^2 \]\).

This is the desired expression for \(du^2\) in polar coordinates.

Moving on to the second part of the question, we are asked to evaluate ∫∫fx dx dy over the region bounded by y = x² and y = x³.

Converting the integral into polar coordinates, we need to determine the limits of integration. From the given equations y = x² and y = x³, we can find the intersections by solving x² = x³, which gives x = 0 and x = 1.

In polar coordinates, x = r cos θ and y = r sin θ. We need to find the values of r and θ that correspond to the points of intersection.

For x = 0, we have r cos θ = 0, which implies θ = π/2 or θ = 3π/2.

For x = 1, we have r cos θ = 1, which implies r = 1/cos θ.

Therefore, the limits of integration for r are from 0 to 1/cos θ, and for θ, they are from π/2 to 3π/2.

Finally, we can evaluate the integral ∫∫fx dx dy by converting it to polar coordinates and applying the limits of integration found above.

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Answer:

3 hours

Step-by-step explanation:

Number of shows : Time taken

= 4 : 2

Today, they will perform 6 shows.

Number of shows : Time taken

= 6 : x

Equate both ratios to find x

4 : 2 = 6 : x

4/2 = 6/x

Cross product

4 * x = 2 * 6

4x = 12

x = 12/4

x = 3 hours

The trainers will spend 3 hours performing shows today

Answer:

3 hours

Step-by-step explanation:

Answer:

68in

Step-by-step explanation:

l = 3w-16

l-3w = -16

l+w = 96

-4w = -112

w = 28 in

l = 96-28 = 68in

Answer:

y=\(-\frac{1}{3}\)+2

Step-by-step explanation:   m=slope, b= y-intercept

y=mx+b             how to find the slope=  \(\frac{3-0}{1-2}\)

y=m(x)+b

1=m(3)+b

1=\(-\frac{1}{3}(3)\)+2

Answer:

First expression

Degree 3

Number of terms: 3

Second expression

Degree 5

Number of terms: 6

Third expression

Degree 4

Number of terms: 2

Answer:c

Step-by-step explanation:

The weakest base is C5H5N (pyridine) with Kb = 1.7 × 10^(-9). The correct answer is C.

The strength of a base is determined by its ability to accept or donate a pair of electrons. In general, a stronger base has a higher tendency to accept or donate electrons compared to a weaker base.

In the given options, the bases are characterized by their Kb values. Kb (base dissociation constant) represents the equilibrium constant for the reaction of a base with water to form the corresponding conjugate acid and hydroxide ions.

Comparing the Kb values provided:

A smaller Kb value indicates a weaker base because it corresponds to a lower concentration of hydroxide ions in solution. Therefore, in this case, C5H5N (pyridine) with a Kb value of 1.7 × 10^(-9) is the weakest base among the given options. The correct answer is C.

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The statements that are true to determine whether x=10 is unusually high number of defective items on the next run of 100 products are given by the following option:

I and III.

Unusual values in the normal distribution are found using the range rule of thumb, which states that if a value is more than two standard deviations from the mean, the measure is unusual.

The measures for the binomial distribution are given as follows:

The parameters for this problem are given as follows:

n = 100, p = 0.04.

Then the mean and the standard deviation are given as follows:

Thus the upper bound for usual values is of:

4 + 2 x 1.96 = 7.92.

Which is less than 10, hence 10 is an unusual measure and statement I is correct.

Statement III is also correct, as:

P(X >= 10) < 0.05.

While statement II is false, as we do not look at the exact measure, but an interval of measures.

The problem is given by the image shown at the end of the answer.

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The author of the book "Pilgrim Feet" argues that American society has benefited greatly from the diversity of cultures that exist within it, and this is evident in various aspects of American life.

In "Pilgrim Feet," the author examines the ways in which different cultural groups have contributed to American society and how their interactions have shaped the country's history. The author suggests that these cultural exchanges have led to a diverse and dynamic society that has benefited from the contributions of various ethnic and religious groups.

For instance, the author notes how immigrants from different parts of the world have brought their unique cuisines, music, and other forms of art to the United States, enriching American culture in the process.

Additionally, the author highlights the role of minority groups in promoting social justice and equality, noting how the struggles of these groups have led to significant social and political changes in the country. Overall, the book argues that the diversity of cultures within American society has been a source of strength, and it has contributed to the country's economic, political, and cultural success.

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Answer:

Step-by-step explanation:

The equation for a circle is

\((x-h)^2+(y-k)^2=r^2\)

We have our h and k from the center as h = -1 and k = -3, and we also know the radius, which is 6. We also have an x/y coordinate as (-6, -6) and we want to know if that coordinate lies in, on, or outside of the circle. The way we will do that is plug everything into the circle equation and solve. If what we solve for is less than the radius, then the point is inside the circle; if what we solve for is equal to the radius, then the point is on the circle; if what we solve for is greater than the radius, then the point in outside the circle.  Here we go:

\((-6-(-1))^2+(-6-(-3))^2?36\) .  There's a question mark there intentionally. The left side is the one we are solving for to see if it is less than, equal to, or greater than, 36.  Continuing,

\((-6+1)^2+(-6+3)^2? 36\) and

\((-5)^2+(-3)^2?36\) and

25 + 9 ? 36

34 ? 36

We know that 34 is less than 36, so the point lies INSIDE the circle.

Answer:

a

Step-by-step explanation:

because it is in the circle

Answer:

58.333....

Step-by-step explanation:

8cm=50

1cm so 25/3

8.3333333333

Answer:

56.25 or 56 1/4

Step-by-step explanation:

If 4 cm is equal to 25 miles then we can divide 25 by 4 to see how many miles is in 1 cm.

25 divided by 4 is 6.25 or 6 1/4

Therefor 1 cm is equal to 6.25 miles.

Now we multiply 9 by 6.25 to get 56.25

the given expression is'

y = 13x - 5

compare this equation with the standard equation

y = mx + c

here m is slope

so m = 13

thus, the slope of the equation is m = 13

Answer:

1 pound of turkey is 3 dollars

Step-by-step explanation:

Answer:

1 lb of turkey costs 3$

Step-by-step explanation:

You divide the cost by the pound to find the answer

21/7 =3

Considering it's vertical asymptote, the rational function graphed below is given by:

A. \(F(x) = \frac{1}{x - 4}\).

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.

In this graph, there is a vertical asymptote at x = 4, that is, x - 4 is a term of the denominator, hence the function is given by:

A. \(F(x) = \frac{1}{x - 4}\).

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Answer:

\(\displaystyle c = \frac{20}{3}\)

Step-by-step explanation:

According to Rolle's Theorem, if f(a) = f(b) in an interval [a, b], then there must exist at least one c within (a, b) such that f'(c) = 0.

We are given that g(5) = g(8) = -9. Then according to Rolle's Theorem, there must be a c in (5, 8) such that g'(c) = 0.

So, differentiate the function. We can take the derivative of both sides with respect to x:

\(\displaystyle g'(x) = \frac{d}{dx}\left[ -7x^3 +91x^2 -280x - 9\right]\)

Differentiate:

\(g'(x) = -21x^2+182x-280\)

Let g'(x) = 0:

\(0 = -21x^2+182x-280\)

Solve for x. First, divide everything by negative seven:

\(0=3x^2-26x+40\)

Factor:

Zero Product Property:

\(x-2=0 \text{ or } 3x-20=0\)

Solve for each case. Hence:

\(\displaystyle x=2 \text{ or } x = \frac{20}{3}\)

Since the first solution is not within our interval, we can ignore it.

Therefore:

\(\displaystyle c = \frac{20}{3}\)