Question
Ray invested $1700 in an account with continuously compounded interest at a rate of 2.8%. After 3 years, how much
money did he have in the account? Round your answer to the nearest dollar.

Answer:

f(x) = 10x − 4

f of x equals two fifteenths times x minus 20

Answer:

Y = -½x + 3/2

Y = -3x + 5

Y = 1/4x - 3¼

Step-by-step explanation:

Parallel implies they have the same gradient

Perpendicular implies the gradient is a negative reciprocal of the other.

Answer:

The 99% confidence interval for the fraction of U.S. adult Twitter users who get some news on Twitter is (0.46, 0.58). This means that we are 99% sure that the true proportion of all U.S. adult Twitter users who get some news on Twitter is between these two values.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).

A poll found that 52% of U.S. adult Twitter users get at least some news on Twitter. The standard error for this estimate was 2.4%

This means that:

\(\pi = 0.52, \sqrt{\frac{\pi(1-\pi)}{n}} = 0.024\)

99% confidence level

So \(\alpha = 0.01\), z is the value of Z that has a p-value of \(1 - \frac{0.01}{2} = 0.995\), so \(Z = 2.575\).

The lower limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 - 2.575(0.024) = 0.46\)

The upper limit of this interval is:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 + 2.575(0.024) = 0.58\)

The 99% confidence interval for the fraction of U.S. adult Twitter users who get some news on Twitter is (0.46, 0.58). This means that we are 99% sure that the true proportion of all U.S. adult Twitter users who get some news on Twitter is between these two values.

The inequality that represent each situations are:

a. 6(n + 3) ≥ 42.

b. 6(n + 3) ≤ 42

c. 6(n + 3) < 42

d. 6(n+3) > 42.

To write the inequality for each of the situations, translate each statement into algebraic expressions and use the appropriate inequality sign where necessary.

Thus, let the unknown number be represented as n.

a. The statement, "at least 42" means not less 42, which is the same as "greater than or equal to 42".

Therefore, the first statement is represented by the inequality, 6(n + 3) ≥ 42.

b. "6 times n and 3 is at most 42" is written as, 6(n + 3) ≤ 42

c. "6 times n and 3 is less than 42" would be translated as: 6(n + 3) < 42

d. "6 times n and 3 is more than 42" would be, 6(n+3) > 42.

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Step-by-step explanation:

6(n+3)>42

this is your answer

arlynn

Answer:

50 words per minute

Step-by-step explanation:

If in 2 minutes she can type 100, that means you must divide 100 by 2. 100 divided by 2 equals 50. You can check this by doing the same with 200 words in 4 minutes by dividing 200 by 4 to get 50. Xenas equation would be w=50m

Her average typing rate is 50 words per minute.

Here,

To find out Xena's typing rate (words per minute), we can use the data she recorded in the table.

We can calculate her typing rate by dividing the number of words she typed by the time it took her to type those words.

Let's perform the calculations:

For the first row (2 minutes, 100 words):

Typing rate = Words / Time

= 100 words / 2 minutes

= 50 words per minute

For the second row (4 minutes, 200 words):

Typing rate = Words / Time

= 200 words / 4 minutes

= 50 words per minute

For the third row (8 minutes, 400 words):

Typing rate = Words / Time

= 400 words / 8 minutes

= 50 words per minute

As we can see from the calculations, Xena's typing rate is consistent at 50 words per minute for all the recorded data.

Therefore, her average typing rate is 50 words per minute.

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Answer:

-35/-7=5

Step-by-step explanation:

Diviser par de nombre négatif alors sa devient positif pareil pour la multiplication

Answer:

d

Step-by-step explanation:

The sample size for the Gallup poll is 1,627 adults. The 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).

To calculate the 95% confidence interval, we need to consider the margin of error. The margin of error is given as 2.5%, which means that we need to account for plus or minus 2.5% around the observed proportion of 22%.

First, let's calculate the margin of error:

Margin of Error = 2.5% of 22% = 0.025 * 22% = 0.0055

Next, we can calculate the lower and upper bounds of the confidence interval:

Lower Bound = 22% - Margin of Error = 22% - 0.0055 = 21.995% ≈ 22.0%

Upper Bound = 22% + Margin of Error = 22% + 0.0055 = 22.005% ≈ 22.0%

Therefore, the 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).

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Answer:

c. 0.0398.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

To solve this question, we find each separate probability, and then multiply them.

First winner is a chemistry major

23 chemistry majors out of 61 students. So

\(P(A) = \frac{23}{61}\)

Second winner is a chemistry major:

Considering the first event, 22 chemistry majors out of 60 students. So

\(P(B) = \frac{22}{60}\)

Third winner is an undecided major;

Considering the first two events, 17 undecided out of 59 students. So

\(P(C) = \frac{17}{59}\)

Desired probability:

\(P(A \cap B \cap B) = P(A)P(B)P(C) = \frac{23}{61} \times \frac{22}{60} \times \frac{17}{59} = \frac{23*22*17}{61*60*59} = 0.0398\)

So option c.

Answer:

A) 39

Step-by-step explanation:

If you calculate the volume of the cube which is the V=a^3 you get 27, then calculating the pyramid, the Length is 3, and the Width is also 3. Then the height is 4. so you put that into the formula to calculate the volume which is V=L*W*H
    --------

        3

you get 12. Now its simple, you just add the 2 volumes, so you do 27+12 and its 39.

39 is the answer by calculating the volume using formula!

The investment with compound interest earns a greater amount of interest by $486.12 compared to the investment with simple interest.

To determine which investment earns a greater amount of interest, we need to calculate the interest earned in both scenarios and compare the results.

1. Simple Interest:

The formula for simple interest is given by: I = P * r * t, where I is the interest, P is the principal amount, r is the interest rate, and t is the time period.

Using this formula, we can calculate the interest earned with simple interest:

I = 100,000 * 0.03 * 4

I = $12,000

2. Compound Interest:

The formula for compound interest is given by: A = P * (1 + r/n)^(n*t), where A is the final amount, P is the principal amount, r is the interest rate, n is the number of times interest is compounded per year, and t is the time period.

In this case, the interest is compounded annually, so n = 1. Let's calculate the amount earned:

A = 100,000 * (1 + 0.03/1)^(1*4)

A = 100,000 * (1.03)^4

A = $112,486.12

The interest earned in the compound interest scenario is A - P = $112,486.12 - $100,000 = $12,486.12.

The difference between the amounts of interest earned by the two investments is:

$12,486.12 - $12,000 = $486.12.

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If a /b = p/q, then (a + b)/b = b/(a+d) exists FALSE.

Let a, b, c, d be the four numbers, then

if a : b = c : d then (a + b) : b :: (c + d) : d.

If a : b :: c : d then (a - b) : b :: (c - d) : d.

Given equation,

\($\Rightarrow \frac{a}{b}=\frac{p}{q}$$\)

Adding 1 on both sides of the equation, we get

\($&\Rightarrow \frac{a}{b}+1=\frac{p}{q}+1 \\\)

\($&\Rightarrow \frac{a+b}{b}=\frac{p+q}{q}\)

This rule exists also comprehended as the Componendo property of fractions.

Therefore, \($\frac{a+b}{b}=\frac{p+q}{q}$$\) then a = pb + q but the hypothesis says that

a = (p+b) / q.

If a /b = p/q, then (a + b)/b = b/(a+d) exists FALSE.

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The volume of cone is 175 m³

Firstly,

Volume of Pyramid.

The volume (V) of a pyramid is  

V = ⅓Ah

Data:

V = 175m³

Calculation:

175 = ⅓× A× h

Ah = 175*3

Ah = 525m³

Secondly,

The volume (V) of a cone is

V = ⅓Ah

Data:

Ah = 525 m³

Calculation:

V = ⅓ A× h

V = 175 m³

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Answer:

It would be A

Step-by-step explanation:

Since the starting amount was $11 you would look how much it was for 2 rides and subtract 17-11 than that is 6 so for two rides it is 6 dollars extra. So than for 1 ride you would divide 6 by 2 and get 3.

11. The ΔACD is not equal and congruent to ΔBCD.

12. The ΔXYZ is equal and congruent to ΔPQZ.

13. The ΔMNL is not equal and congruent to ΔRSL.

What is congruency?

Congruent refers to something that is "absolutely equal" in terms of size and shape. The shapes hold true regardless of how we rotate, flip, or turn them. Draw two circles with the same radius, for instance, cut them out, and stack them on top of one another.

It is known that -

If two triangles are congruent, when they meet one of the following criteria -

a) All three pairs of corresponding sides should be equal.

b) Two pairs of corresponding sides and the corresponding angles between them should be equal.

c) Two pairs of corresponding angles and the corresponding sides between them should be equal.

11. In the first diagram, it is given that line segments -

AD = BD

CD = CD (common in both the triangles)

It is given that angles -

∠A ≅ ∠B

This proves that AD ≅ BD and CD = CD.

If ΔACD is congruent with ΔBCD then ∠ADC ≅ ∠BDC.

But not enough information is given about ∠ADC and ∠BDC.

Therefore, ΔACD is not congruent with ΔBCD.

12. In the second diagram, it is given that -

Z is the midpoint of line segment XQ and YP.

This means that line segments -

XZ = ZQ

YZ = ZP

It is also given that ∠XZY = ∠PZQ as they form a pair of vertically opposite angles which are equal.

So, the criteria two pairs of corresponding sides and the corresponding angles between them should be equal is fulfilled.

Therefore, ΔXYZ is congruent with ΔPQZ.

13. In the third diagram, it is given that line segments-

MN ≅ LR

LN ≅ LS

It is given that angles -

∠LMN ≅ ∠LRS

If the line segments MN ≅ LR and LN ≅ LS, then ∠MNL ≅ ∠NLS

But not enough information is given about ∠MNL and ∠NLS being equal.

Therefore, ΔMNL is not congruent with ΔRSL.

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56-64 = -8

-8/64 = -0.125 = -12.5%

12.5%

Answer:

64 = 100%

Step-by-step explanation:

to find out how much the percent markdown

THEN divide to check you work

o-o

Answer:

25:16

50:32

100:64

Step-by-step explanation:

The number of weeks that Vanessa ran for the number of miles given would be = 24 weeks

The amount of distance that Vanessa covers for a week = 4 miles

The amount of weeks it will take for her to cover 96 moles would be = ?

That is;

1 week = 4 miles

X weeks = 96 miles

Make X the subject of formula;

X = 96× 1/4

= 24 weeks

Therefore Vanessa will be able to cover 96 miles in only 24 weeks.

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Answer:

A = 0.46, B = 0.61 and C = 0.46

Step-by-step explanation:

From the number line given, we can see that the distance between 0.5 and the next value is by 0.01, hence to get B, we will add 0.01 to the value of 0.6 as shown;

B = 0.6 + 0.01

B = 0.61

To get A, we will add 0.03 to 0.5 as shown:

A = 0.5 + 0.03

A = 0.53

To get the value of C, we will subtract 0.04 from  0.5

as shown:

C = 0.5 - 0.04

C =0.46

Hence A = 0.46, B = 0.61 and C = 0.46

The length of the side P is 15 cm. And the right option is C.

Pythagoras theorem states that “In a right-angled triangle,  the square of the hypotenuse side is equal to the sum of squares of the other two sides.

To calculate the length of side P we use Pythagoras theorem's formula

Pythagoras formula:

Where:

From the diagram,

Given:

Substitute these values into equation 1

Hence, the right option is C 15 cm.

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When \(x\) approaches infinity, the function's graph moves closer to the x-axis and horizontal equilibrium point at \(y = 3\). For \(x -2\), which is denoted by such an open ring at \((-2, 3)\) on the graph, the function is undefined.

A graphs is a pictorial display or diagram that displays facts or numbers in an organized way in math. The relationships between multiple things are frequently represented by the points on a graph.

The graph is a mathematics structure made up of a collection of points Coordinates and a set of lines connecting some pairs of VERTICES that may or may not be empty. There is a chance that the edges will be directed, or orientated.

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Answer:

if i am not wrong is 119

Step-by-step explanation:

I did it like this:

I took 44 + 17= 61

And then I took 180-61= 119

Answer:

just graph 5 like usual.....

Step-by-step explanation:

When the matrices A and B commute, or when they fulfill AB=BA, this is a significant exception.

A matrix is a rectangular array or table of numbers, symbols, or formulae used to represent mathematical objects or qualities of such things. It is often arranged in rows and columns. For instance, a matrix contains two rows and three columns. a group of integers organized in a rectangular array in rows and columns. Matrix elements or entries refer to numbers. In several disciplines of engineering, physics, economics, statistics, and mathematics, matrices have a wide range of applications.

The eigenvalues and eigenvectors of the sum of two matrices are typically not the same as the sums of the eigenvalues and eigenvectors of the individual matrices. In actuality, there is no way to separate the eigenvalues of A and B from one another.

When a vector v is an eigenvector of both A and B, it is also an eigenvector of A+B, with an eigenvalue equal to the sum of its eigenvalues for A and B, respectively. There is, however, no reason to anticipate that two matrices will share an eigenvector in general. There is no method to create an eigenvector of A+B from two random eigenvectors of A and B alone.

When the matrices A and B commute, or when they fulfill AB=BA, this is a significant exception. In this situation, their invariant spaces coincide, and if both of them are diagonalizable, they are concurrently diagonalizable, which means that their eigenvectors do as well. As was already noted, in this specific instance, the eigenvectors of A+B are likewise the same.

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Answer:

a

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

Points (-1,7) and (1,3)

Formula

m = (y2 = y1) / (x2 - x1)

y2 = 7

y1 = 3

x2 = - 1

x1 = 1

Solution

m = (7 - 3) / (-1 - 1)

m = 4 / - 2

m = - 2

Now use either one of the points to get b in y = mx + b

x = 1

y = 3

m = - 2

y = mx + b

3 = -2 (1) + b

3 = -2 + b

b = 3 + 2

b = 5

Equation: y = - 2x + 5

Second question.

y = -2 + 1  

Think money. You have a dollar in your pocket, but you owe your mom 2 dollars. Where are you.

y = -2 + 1

y = - 1

Multiplication of the given matrix is not possible by definition of matrix multiplication.

Since, To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

Expression for multiply,

⇒ [4, 0, -1, 2, -3, -1] x [0, 1, -3, 1]

Since, We can see that;

First matrix have order 1 x 6

And, Second matrix have order 1 x 4

We know that;

Matrix multiplication is possible when number of column in first matrix is same as number of rows in second matrix.

Hence, By given matrices we get;

Number of column in first matrix (6) ≠ number of rows in second matrix (1)

So, Multiplication of the given matrix is not possible by definition of matrix multiplication.

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