TWO PART QUESTION NEED! :)))

You decide to invest $500 into a 4-year CD that pays 2.85% interest
compounded monthly.

Use the compound interest formula:A = P(1 + r/n) ^nt to give:

a. The future value in 4 years.
b. The interest gained in 4 years.

Answer:

B, 33%

Step-by-step explanation:

Let us find the original price of four chairs without the special deal, and compare it with the deal to find the percent savings.

Step 1:

A customer must buy 4 chairs costing $75 each to recieve the deal. Let us multiply 4 by 75 to find the total cost without the deal:

\(4*75=\\300\)

Step 2:

We now know the original cost of the 4 chairs, and the price of 4 chairs with a deal. Let us subtract the difference of costs and convert it into a percentage to find percent savings:

\(300-200=100\\\frac{100}{300} =\frac{1}{3}\)

\(\frac{1}{3}=33\)%

Therefore, B, the percent savings is 33%.

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

To identify the vertical asymptotes, we have to factor the denominator. For horizontal asymptotes, we compare the degrees of the numerator and denominator.

For rational functions, there are vertical and horizontal asymptotes. To identify the vertical asymptotes, we first have to factor the denominator. After that, we should look for values that make the denominator zero. These values can be found by setting the denominator equal to zero and solving for x. The resulting x values would be the vertical asymptotes of the function.

The horizontal asymptote is the line that the function approaches as x goes towards infinity or negative infinity. For rational functions, the horizontal asymptote is found by comparing the degrees of the numerator and the denominator.

If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degree of the numerator is equal to the degree of the denominator, the horizontal asymptote is y = the ratio of the leading coefficients. If the degree of the numerator is greater than the degree of the denominator, there is no horizontal asymptote.

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The correct answer is B) Beliefs

Explanation:

Pseudoscience differs from science because this is based on personal beliefs or non-proven statements. For example, disciplines such as Astrology or Numerology are considered pseudoscience because these cannot be proven scientifically, are not based in facts or reality, and in general, do not follow the standards of science. This means one component of pseudoscience is that this is based on personal beliefs as pseudosciences do not follow the scientific method but this does not occur in science.

The correct answer is B) Beliefs

Explanation:

Pseudoscience differs from science because this is based on personal beliefs or non-proven statements. For example, disciplines such as Astrology or Numerology are considered pseudoscience because these cannot be proven scientifically, are not based in facts or reality, and in general, do not follow the standards of science. This means one component of pseudoscience is that this is based on personal beliefs as pseudosciences do not follow the scientific method but this does not occur in science.

Answer:

-1/2 !

Step-by-step explanation:

This one, you can tell in negative because the line's direction goes down! Other than that, you can use RISE/RUN to figure out the slope, from any solid point on the line! Since you go up one and to the left two, the slope is -1/2!

I hope this helps, and I'm here if you need me! :)

Answer:

9/10

Step-by-step explanation:

Total number of shirt = 10

No. of white shirt = 1

Probability of not choosing a white shirt = 1- 1/10 = 9/10

The objective of this research is to collect data on a specific component of the off-campus student population.The amount of time they spend travelling to courses each week.

a) The population for this study is all off-campus students at this college, and the sample is a random sample of 45 off-campus students who are polled. The sample is chosen at random to be representative of the entire population.

b) The data being gathered is the amount of time the surveyed students spend each week travelling to school. Because it reflects a numerical measurement, this is quantitative data. This information will be used to calculate the average commuting time for off-campus students and to identify any possible concerns or areas for improvement in commuting.

c) This is a descriptive research, since it seeks to characterise and summarise the features of the off-campus student population in terms of commuting time. The study's purpose is to better understand off-campus students' commuting patterns and gather ideas into how to enhance their commuting experience.

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Answer:

45 degrees

Step-by-step explanation:

180 - 60 - 75 = 45

Angle RVE is the same as angle LVA

Answer:

this might help you....

the measure of the fourth interior angle of the quadrilateral is 68° (Option A)

To find the measure of the fourth interior angle of a quadrilateral, we need to use the fact that the sum of all interior angles of a quadrilateral equals 360°. Given that three interior angles measure 55°, 117°, and 120°, we can find the measure of the fourth angle by subtracting the sum of these three angles from 360°.
First, calculate the sum of the three given angles: 55° + 117° + 120° = 292°.
Next, subtract this sum from 360° to find the fourth angle: 360° - 292° = 68°

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The volume of the solid under the hyperbolic paraboloid and above the rectangle r is 4 cubic units. The solid lies under the paraboloid and above R, which intersects the xy-plane once.

The given hyperbolic paraboloid is \(z = (3y^2 − x^2)/3\). We are supposed to find the volume of the solid that lies under the hyperbolic paraboloid and above the rectangle r = [−1, 1] × [1, 3].

In order to find the volume, we are to use the following formula. V = ∬Rf(x,y)dA

Here, R represents the region under the curve and f(x, y) represents the height of each point.The limits of integration will be:    The integral of x will go from -1 to 1.    The integral of y will go from 1 to 3.The above region will be integrated in the form of double integrals. In this case, we take the volume of the solid to be the double integral of z over the given rectangle of integration.

\(∬R (3y^2 − x^2)/3 dA\)

= \(∫1³ ∫-1¹ (3y^2 − x^2)/3 dxdy\)

= 4

Now, it is confirmed that the volume of the solid is 4 cubic units.

Note:  The above rectangular region, R, is a subset of the xy-plane, i.e., R ⊂ xy-plane. Since the given paraboloid intersects the xy-plane only once, and since R lies entirely above the plane, the solid that lies under the paraboloid and above R has finite volume.

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Answer:

Step-by-step explanation:

The function f(w) is the difference of c(w) and a(w):

Correct choice is C

The annual income of a certain household that has a z-score of 1.5, is 80,000.

The relationship between a value and a group of values' mean is described statistically by the Z-score. Standard deviations from the mean serve as the unit of measurement for Z-score. The score for a data point is equal to the mean score if the Z-score is 0. A value that deviates by one standard deviation from the mean is indicated by a Z-score of 1.0.

Z-scores can either be positive or negative, with a positive value indicating that the score is above the mean and a negative value indicating that the score is below the mean. Z-scores are measurements of an instrument's variability used in investing and trading that traders can use to estimate volatility.

Let the annual income be x.

x has μ = 50000, σ = 20000

We know that for given x, z = (x−μ)/σ

Given that z - score = 1.5

Substituting the values we get

⇒ 1.5 = (x−50000)/20000

​⇒ 1.5 × 20000 = x−50000

​⇒ 30000 = x − 50000

⇒ x = 30000 + 50000

⇒ x = 80,000

Thus, The annual income of a certain household that has a z-score of 1.5, is 80,000.

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Answer:

m

Step-by-step explanation:

Answer:

1. 12.5%

2. 26%

3. 51

4. 16

Step-by-step explanation:

3/24=0.125 -> 12.5%

65/250=0.26 -> 26%

300*0.17=51

0.4*40=16

The complete table is:

           Adults    Children Total

Male       80            40        120

Female   70            10         80

Total       150           50         200​

The incomplete two-way table is given as:

           Adults    Children Total

Male       80                        120

Female

Total       150           50         200​

The sum of the rows must equal to the row total.

This means that:

80 + Children = 120 ----- first row

So, we have:

Children = 40

Also, the sum of the columns must equal to the column total.

This means that:

80 + Female = 150 ----- first column

So, we have:

Female = 70

Also, we have:

40 + Female = 50 ----- second column

So, we have:

Female = 10

Using the above computation, the complete table is:

           Adults    Children Total

Male       80            40        120

Female   70            10         80

Total       150           50         200​

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Answer:

\( \displaystyle 172.1 ft\)

Step-by-step explanation:

refer the attachment

let the string be hypotenuse and

the height be h And the angle be 35°

given that,

since we are given the hypotenuse and want to figure out the opposite side we'll use sin function

so our equation would be

\( \displaystyle \sin( {35}^{ \circ} ) = \frac{h}{300} \)

cross multiplication:

\( \displaystyle h= 300 \sin( {35}^{ \circ} ) \)

by using calculator we obtain:

\( \displaystyle h = 172.1\)

hence,

about 172.1ft far up the tree is the kite

Hope this help!!!

Have a nice day!!!

To confirm this, we can see that if Marco buys 2 bags of him, in total he inequality gets 2x2 + 3 = 7 embers for his tetras. This is the maximum number of fish he can have in his tank.

An inequality in mathematics is a relationship between two expressions or values ​​that are not equal. Imbalance therefore leads to inequality. An inequality establishes a connection between two values ​​that are not equal in mathematics. Equality is different from inequality. The inequality sign () is most commonly used when two values ​​are not equal. Various inequalities are used to contrast values, no matter how small or large. Many simple inequalities can be solved by changing both sides until only variables remain. But many things contribute to inequality. Negative values ​​on both sides are divided or added. Swap left and right.  

Let's start by defining a variable representing the number of bags Ember Tetra Marco can buy. Let's call this variable "x"

Each bag contains 2 of his Embertetras, so the total number of his Embertetras Marco can add to the tank is 2x.

However, he cannot put 10 fish in Marco's tank. He already has his 3 Ember tetras, so you can add up to 7 to your tank. Therefore, we can write the following inequality:

\(2x + 3 ≤ 7\)

To solve for x, first subtract 3 from both sides to separate the variables on one side of the inequality

\(2x ≤ 4\)

Then divide both sides by 2.

\(×≤2\)

So Marco can buy up to 2 bags of carassin for his aquarium.

To confirm this, we can see that if Marco buys 2 bags of him, in total he gets \(2x2 + 3 = 7\) embers for his tetras. This is the maximum number of fish he can have in his tank.

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Answer:

16.5 should be correct because OS is half the length.

\(f(x) = \sqrt{3x} + 7 \\ \\ f ^{ - 1} (x) = ( \sqrt{3x} + 7) ^{ - 1} \\ \\ f ^{ - 1} (x) = \frac{1}{ \sqrt{3x} + 7} \\ \\ \\ f ^{ - 1} (2) = \frac{1}{ \sqrt{3(2)} + 7} \\ \\f ^{ - 1} (2) = \frac{1}{ \sqrt{6} + 7} \\ \\ f ^{ - 1} (2) = \frac{1}{ \sqrt{6} + 7} \times \frac{ \sqrt{6} - 7 }{ \sqrt{6} - 7 } \\ \\ f ^{ - 1} (2) = \frac{ \sqrt{6} - 7 }{(6 - 49)} = \frac{ \sqrt{6} - 7 }{ - 43} \\ \\ f ^{ - 1} (2) = \frac{ \sqrt{6} - 7 }{ - 43} = \frac{2.449 - 7}{ - 43} \\ \\ f ^{ - 1} (2) = \frac{ - 4.551}{ - 43} \\ \\ f ^{ - 1} (2) = \frac{ 4.551}{ 43} =0.10584\)

I hope I helped you^_^

Answer:

To solve the integral, we can use partial fractions and then integrate each term separately. The integrand can be written as:

\(\dfrac{x^4(1-x)^4}{1+x^2} = \dfrac{x^4(1-x)^4}{(x+i)(x-i)}\)

Using partial fractions, we can write:

\(\dfrac{x^4(1-x)^4}{(x+i)(x-i)} = \dfrac{Ax+B}{x+i} + \dfrac{Cx+D}{x-i}\)

Multiplying both sides by (x+i)(x-i), we get:

\(x^4(1-x)^4 = (Ax+B)(x-i) + (Cx+D)(x+i)\)

Substituting x=i, we get:

\(i^4(1-i)^4 = (Ai+B)(i-i) + (Ci+D)(i+i)\)

Simplifying, we get:

\(16 = 2Ci + 2B\)

Substituting x=-i, we get:

tex^4(1+i)^4 = (Ci+D)(-i-i) + (Ai+B)(-i+i)\)

Simplifying, we get:

\(16 = 2Ai + 2D\)

Substituting x=0, we get:

\(0 = Bi + Di\)

Substituting x=1, we get:

\(0 = A+B+C+D\)

Solving these equations simultaneously, we get:

A = -22/7 + π

B = 0

C = 22/7 - π

D = -2/5

Therefore, the integral can be written as:

\(\int_0^1 \dfrac{x^4(1-x)^4}{1+x^2}dx = \int_0^1 \left[\dfrac{-22/7+\pi}{x+i} + \dfrac{22/7-\pi}{x-i} - \dfrac{2/5}{1+x^2}\right]dx\)

Integrating each term separately, we get:

\(\int_0^1 \dfrac{-22/7+\pi}{x+i}dx = [-22/7+\pi]\ln(x+i) \bigg|_0^1 = [\pi-22/7]\ln\left(\dfrac{1+i}{i}\right)\)

\(\int_0^1 \dfrac{22/7-\pi}{x-i}dx = [22/7-\pi]\ln(x-i) \bigg|_0^1 = [22/7-\pi]\ln\left(\dfrac{1-i}{-i}\right)\)

\(\int_0^1 \dfrac{-2/5}{1+x^2}dx = -\frac{2}{5}\tan^{-1}(x)\bigg|_0^1 = -\frac{2}{5}\tan^{-1}(1) + \frac{2}{5}\tan^{-1}(0) = -\frac{2}{5}\tan^{-1}(1)\)

Therefore, the correct options are:

A) \(\pi-\frac{22}{7}\)

B) \(\frac{2}{105}\)

C) 0

D) \(\frac{71}{15}-\frac{3\pi}{2}\)

Answer:

Hence the second graph is correct (top right hand corner).

Step-by-step explanation:

The point where the line cuts the y axis is the y intercept

For the second graph, we can see that the line cuts the line at the positive values of the y axis, hence the intercept is greater tahn zero.

Also the slope of the line is greater than zero since the coordinate points where the line cuts both x and y axis are also on the positive side of the graph. Hence the second graph is correct (top right hand corner).

the mean change per day to Krista's account in dollars during that week is $14.

In order to determine the mean change per day, the total sum of money in Krista's account has to be determined and divided by the total number of days.

Mean change per day = sum of money in Krista's account / total number of days.

The amount deposited would be added together and the money transferred or withdrawn would be subtracted.

Sum of money in the account = $45 - $30 + $59 -$18 = $56.

Mean change = $56 / 4 = $14

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Based on the given information, there is not enough evidence at the 0.025 level to conclude that the bags are overfilled. This can be answered by the concept of Standard deviation.

To determine whether there is enough evidence to conclude that the bags are overfilled, we need to perform a hypothesis test.

Let the null hypothesis be that the bags are not overfilled, and the alternative hypothesis be that the bags are overfilled. We can set the significance level at 0.025.

We will perform a one-sample t-test since we have a small sample size and the population standard deviation is unknown. Using the formula for the t-test statistic, we obtain a t-value of 1.58. The critical t-value for a two-tailed test with 26 degrees of freedom (n-1) and a significance level of 0.025 is 2.479. Since 1.58 < 2.479, we fail to reject the null hypothesis.

Therefore, there is not enough evidence at the 0.025 level to conclude that the bags are overfilled.

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Answer:

what rubbish can Youcould b emade

Answer:

245

Step-by-step explanation:

4242/12=3.5

70×3.5=245

Therefore, the next number in the sequence is 43.

To find the next number in the sequence, let's examine the differences between consecutive numbers:

16 - 9 = 7

24 - 16 = 8

33 - 24 = 9

We can observe that the differences between consecutive numbers are increasing by 1 each time. Therefore, it suggests that the pattern in the sequence is adding consecutive integers to the previous number.

To continue the sequence, we add 10 to the last number in the sequence:

33 + 10 = 43

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The valuation used to determine tax deductions or tax liabilities is known as an asset's tax base. The following formula can be used to calculate the asset's tax base in the scenario:

The machine has a 10,000 birr startup cost. However, birr 3,000 in depreciation has already been subtracted from both the current and earlier periods. As a result, the remaining expense to be written off for tax purposes is 10,000 Birr - 3,000 Birr = 7,000 Birr.

Any profit from selling the machine will also be taxed. The machine's carrying amount is birr 8,000, thus if it is sold for more than that, the gain on disposal will be taxable.

In contrast, any loss associated with the machine's disposal will be

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For n ≥ 459, Algorithm A is better than Algorithm B when B uses n√n operations.

To determine the value of n₀ for which Algorithm A is better than Algorithm B when B uses n√n operations, we need to find the point at which the number of operations for Algorithm A is less than the number of operations for Algorithm B.

Algorithm A: 10n log n operations

Algorithm B: n√n operations

Let's set up the inequality and solve for n₀:

10n log n < n√n

Dividing both sides by n gives:

10 log n < √n

Squaring both sides to eliminate the square root gives:

100 (log n)² < n

To solve this inequality, we can use trial and error or graph the functions to find the intersection point. After calculating, we find that n₀ is approximately 459. Therefore, For n ≥ 459, Algorithm A is better than Algorithm B when B uses n√n operations.

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R-1.3: For \($n \geq 14$\), Algorithm A is better than Algorithm B when B uses \($n^2$\) operations.

R-1.4: Algorithm A is always better than Algorithm B when B uses \($n\sqrt{n}$\) operations.

R-1.3:

Algorithm A: \($10n \log n$\) operations

Algorithm B: \($n^2$\) operations

We want to determine the value of \($n_0$\) such that Algorithm A is better than Algorithm B for \($n \geq n_0$\).

We need to compare the growth rates:

\($10n \log n < n^2$\)

\($10 \log n < n$\)

\($\log n < \frac{n}{10}$\)

To solve this inequality, we can plot the graphs of \($y = \log n$\) and \($y = \frac{n}{10}$\) and find the point of intersection.

By observing the graphs, we can see that the two functions intersect at \($n \approx 14$\). Therefore, for \($n \geq 14$\), Algorithm A is better than Algorithm B.

R-1.4:

Algorithm A: \($10n \log n$\) operations

Algorithm B: \($n\sqrt{n}$\) operations

We want to determine the value of \($n_0$\) such that Algorithm A is better than Algorithm B for \($n \geq n_0$\).

We need to compare the growth rates:

\($10n \log n < n\sqrt{n}$\)

\($10 \log n < \sqrt{n}$\)

\($(10 \log n)^2 < n$\)

\($100 \log^2 n < n$\)

To solve this inequality, we can use numerical methods or make an approximation. By observing the inequality, we can see that the left-hand side \($(100 \log^2 n)$\) grows much slower than the right-hand side \($(n)$\) for large values of \($n$\).

Therefore, we can approximate that:

\($100 \log^2 n < n$\)

For large values of \($n$\), the left-hand side is negligible compared to the right-hand side. Hence, for \($n \geq 1$\), Algorithm A is better than Algorithm B when B uses \($n\sqrt{n}$\) operations.

So, for R-1.4, the value of \($n_0$\) is 1, meaning Algorithm A is always better than Algorithm B when B uses \($n\sqrt{n}$\) operations.

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Answer:

1.A-1/5

2.C-1 1/4

3.D-13/24

4.A-11/24

5.B-1/8

hope this helps plz mark brainliest!

Step-by-step explanation:

Answer:

1) 1/5

2) 1 1/4

3) 13/24

4) 11/24

5) 1/8