An account is opened with an initial deposit of $100 and earns 3.0% interest compounded monthly.

What will the account be worth in 25 years?

Round your answer to the nearest cent.

Do NOT round until you have calculated the final answer.

Answer:

(the letter 'x' represents the amount of miles he hiked)

x≤8

The transfer function U(s)/Y(s) for the given system modeled by the differential equation y'' + 3y' + 2y = 21 + u is 1/(s^2 + 3s + 2).

To find the transfer function U(S)/Y(S) for the given system modeled by the differential equation y'' + 3y' + 2y = 21 + u, we need to take the Laplace transform of both sides of the equation.

Taking the Laplace transform, and assuming zero initial conditions:

s^2Y(s) + 3sY(s) + 2Y(s) = 21 + U(s)

Now, let's rearrange the equation to solve for Y(s):

Y(s)(s^2 + 3s + 2) = 21 + U(s)

Dividing both sides by (s^2 + 3s + 2):

Y(s) = (21 + U(s))/(s^2 + 3s + 2)

Therefore, the transfer function U(s)/Y(s) is:

U(s)/Y(s) = 1/(s^2 + 3s + 2)

The transfer function U(s)/Y(s) for the given system modeled by the differential equation y'' + 3y' + 2y = 21 + u is 1/(s^2 + 3s + 2).

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Answer:

what

Step-by-step explanation:

which questions you are telling there is no question to answer you!!

Answer:

Step-by-step explanation: the answer is .75. your welcome

the answer is 3/4 or 0.75

Answer:

4/5

Step-by-step explanation:

75% = 75/100 = 0.75 = 3/4

4/5 = 80/100 = 80% = 0.80

75 = 75% = 3/4 = 75/100

75%

80% - this is the biggest

75%

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer: 4/5

Step-by-step explanation:

75% = 75/100 same as 0.75

4/5 = 0.80

0.75 already in decimal

Therefore 0.80 is the greatest

A substitute is a good or service that buyers can quickly swap out for another. For instance, a one-dollar bill can be used in place of another dollar bill.

In business and economics, a replacement, or substitutable good, is a good or service that consumers perceive as just being substantially the same as or reasonably similar to some other good. Consumers are given options and alternatives through substitutes, which also spur competition and lower prices in the market.

Here are a few examples of replacement goods:

1. A $1 bill can be exchanged for four quarters.

2. Coke against Pepsi

3. Regular vs. premium gas

4. Butter and lard

5. Tea and coffee

6. Apples and oranges

7. Comparing driving a car to riding a bike

8. Books in general and e-books

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Answer:

a = 1/2 (b) (h)

Step-by-step explanation:

Use Pythagorean theorem for sub triangle on the left: 8^2 + h^2 = 22^2

Use Pythagorean again for sub triangle on the right: x^2 + h^2= 31^2

Find your base: 8+x=b

Find entire area: a = 1/2 (b) (h)

By using the concept of Compound interest, Number of payment periods in a 6-year, 8% bond with an effective interest rate of 6%, and paid semiannually = 12

What is Compound interest?

The interest earned on savings that is calculated using both the initial principal and the interest accrued over time is known as compound interest. It is thought that Italy in the 17th century is where the concept of "interest on interest" or compound interest first appeared. It will accelerate the growth of a sum more quickly than simple interest, which is only calculated on the principal sum. Money multiplies more quickly thanks to compounding, and the more compounding periods there are, the higher the compound interest will be.

This problem can be solved by using the concept of compound interest

Number of  payment periods are in a 6-year, 8% bond with an effective interest rate of 6%, and paid semiannually = \(6 \times 2 = 12\)

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Answer:

It take 20 minutes to run 4 kilometres

Step-by-step explanation:

As we run 6 kilometres in 30 minutes

Equation is 4×30÷6=20

Then each 1kilometre take 5 minutes

Answer:

For the top row, 3 and 4, respectively

For the bottom row, 60 and 150, respectively

Step-by-step explanation:

w increases by 1 every time and d increases by 30

Answer:

for 2 weeks it is $60 and for $90 dollars its 3 weeks and for $120 is 4 weeks  and for 5 weeks its $150.

Step-by-step explanation:

She gets payed $30 every week since 1 week=30 that means its adding 30 dollars each week.

Answer:

Step-by-step explanation:

just plug in c

6-20 = 4 - 3(6)

Answer:

y = 4

Step-by-step explanation:

21 = 3(y + 3), Distribute

21 = 3y + 9, Subtract 9 on both sides

12 = 3y, Divide 3 on both sides

4 = y

The measure of angles inside the rhombus are:

∠1 = 56

∠2 = 56

∠3 = 34

∠4 = 34

We have,

In a rhombus,

The opposite angle is congruent.

So,

(56 + 56) = ∠1 + ∠2

And,

∠1 and ∠2 are equal angles.

So,

112 = 2∠1

∠1 = 56

∠2 = 56

Now,

All four angles in side the rhombus = 360

112 + 112 + ∠x + ∠x = 360

2∠x = 360 - 224

2∠x = 136

∠x = 68

This ∠x is the angle inside the rhombus.

And, ∠x/2 = ∠3 = ∠4

So,

∠3 = 68/2 = 34

∠4 = 34

Thus,

The measure of angles inside the rhombus are:

∠1 = 56

∠2 = 56

∠3 = 34

∠4 = 34

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Mark-up is the difference between the cost price and the selling price, and is expressed as a percentage. The mark-up for the surfboard is 128%, meaning that the company is making a 28% profit on each surfboard they sell.

To calculate the mark-up as a percentage, we need to subtract the cost price ($25) from the selling price ($57). This gives us a difference of $32. We then divide this difference by the cost price, which gives us a result of 1.28. We then multiply this result by 100, which gives us a mark-up percentage of 128%. This means that the company is making a 28% profit on each surfboard they sell.

Mark-up = (Selling Price - Cost Price) / Cost Price × 100

Mark-up = ($57 - $25) / $25 × 100

Mark-up = $32 / $25 × 100

Mark-up = 1.28 × 100

Mark-up = 128%

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Answer:

68

Step-by-step explanation:

Looking at the pattern of what is given for the bottom section.  I can count two sections as being 6 blocks and then between those sections I would count 4 blocks.  This would be true for the bottom and the top.  The middle holding up the top and the bottom would need 4 more blocks for each "pillar"

2(6 + 6 + 4 + 4) + 4(4) = 56

If I use that same patter with the new structure

2(7 + 7 + 5 + 5) + 4(5) = 68

Answer:

68

Step-by-step explanation:

We know that a cube has 8 corners. So that's 8 cubes just for the corners. We also know that a cube has 12 edges. An edge can be calculated by subtracting 2 from the side length. Since the side length is 7 cubes long, the edge length is 5 cubes long. The total number of cubes is:

N = (number of corner * cubes per corner) + (number of edges * cubes per edges)

\(N = (8 * 1) + (12 * 5) = 8 + 60 = 68\)

The statement best explains why ben must open the compass to a width greater than half  is option (A) To be able to create to intersecting arc above and below the line segment

Ben must open the compass to a width greater than half of PQ because he needs to draw two arcs that intersect each other on either side of PQ. The point where the two arcs intersect is the midpoint of PQ, which is what he is trying to find by bisecting PQ.

If Ben were to open the compass to exactly half of PQ, he would only be able to draw one arc, which would not intersect the line PQ in a way that would enable him to find its midpoint.

By opening the compass wider than half of PQ, Ben can draw two arcs that intersect each other on either side of PQ, and the point where they intersect will be the midpoint of PQ. This is the reason why Ben must open the compass to a width greater than half of PQ.

Therefore, the correct option is (A) To be able to create to intersecting arc above and below the line segment

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The given question is incomplete, the complete question is:

ben uses a compass and straightedge to bisect , as shown: which statement best explains why ben must open the compass to a width greater than half of ?

Answer:

Step-by-step explanation:

that is b

The probability of exactly 5 out of 6 randomly selected Americans donating money to charitable organizations can be calculated using the binomial probability formula.

The probability of exactly 5 out of 6 individuals donating money can be determined by applying the binomial probability formula. The formula is given by P(X=k) =\((nCk) * p^k * (1-p)^(n-k)\), where n is the number of trials, k is the number of successes, p is the probability of success, and nCk represents the number of ways to choose k successes out of n trials.

In this case, n = 6 (the sample size) and p = 0.81 (the probability of an American donating money). To calculate the probability of exactly 5 donations, we substitute these values into the formula:

P(X=5) = \((6C5) * (0.81)^5 * (1-0.81)^(6-5).\)

To calculate the combination (6C5), we use the formula nCk = n! / (k!(n-k)!), where n! denotes the factorial of n. Therefore, (6C5) = 6! / (5!(6-5)!) = 6.

Plugging in the values, we get: P(X=5) = \(6 * (0.81)^5 * (1-0.81)^(6-5\)). Evaluating this expression, we find the probability that exactly 5 out of 6 randomly selected Americans donated money to a charitable cause.

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1/6 and you got the comment why

Answer:

1/6

Step-by-step explanation:

Out of these four card choices, for the first pick there are two even cards and four cards in total. This means that on the first pick there is a 2/4=1/2 chance that you pick an even card. On the second pick, if you do not replace the card, then there is 1 even card remaining, and 3 cards in total, leaving a probability of 1/3. Multiplying these two probabilities together, you get an overall chance of 1/6. Hope this helps!

Answer:

(4,7)

Step-by-step explanation:

I have attached what the graph looks like below.

Looking at it, you will see the point (4,7) lies on the graph.

So the answer is 2)

It takes Ms. Haas 3n + 8 minutes to complete one lap more than Mr. Wilkerson, where n is a whole number.

What is the equivalent expression?

Equivalent expressions are expressions that perform the same function despite their appearance. If two algebraic expressions are equivalent, they have the same value when we use the same variable value.

We know that the difference in the time taken by Ms. Haas and Mr. Wilkerson to complete one lap is 5 - 8 = -3 minutes. This means that Mr. Wilkerson is slower and takes more time to complete one lap than Ms. Haas.

Let's assume that Ms. Haas and Mr. Wilkerson start together at the starting point. When Ms. Haas completes one lap, she is one lap ahead of Mr. Wilkerson.

Let's find out the time it takes for Ms. Haas to complete one lap and Mr. Wilkerson to complete (n + 1) laps, where n is the number of laps Mr. Wilkerson completes before Ms. Haas completes one lap.

Ms. Haas takes 5 minutes to complete one lap. Therefore, she takes 5n minutes to complete n laps.

Mr. Wilkerson takes 8 minutes to complete one lap. Therefore, he takes 8(n + 1) minutes to complete (n + 1) laps.

We want to find the value of n for which Ms. Haas is exactly one lap ahead of Mr. Wilkerson. This means that the distance covered by Ms. Haas should be one lap more than the distance covered by Mr. Wilkerson.

The distance covered by Ms. Haas in n laps is n laps.

The distance covered by Mr. Wilkerson in (n + 1) laps is (n + 1) laps.

Equating the two distances, we get:

n = n + 1 - 1

n = n

This means that the value of n can be anything. Therefore, Ms. Haas will be exactly one lap ahead of Mr. Wilkerson after any whole number of laps.

Let's find out how much time it takes for Ms. Haas to complete one lap more than Mr. Wilkerson.

When Ms. Haas completes one lap, Mr. Wilkerson completes (n + 1) laps.

The time taken by Ms. Haas to complete one lap is 5 minutes.

The time taken by Mr. Wilkerson to complete (n + 1) laps is 8(n + 1) minutes.

We want to find the value of n for which Ms. Haas completes one lap more than Mr. Wilkerson. This means that the time taken by Ms. Haas should be 8(n + 1) + 5 minutes.

8(n + 1) + 5 = 5(n + 1) + t

8n + 13 = 5n + 5 + t

3n + 8 = t

Therefore, it takes Ms. Haas 3n + 8 minutes to complete one lap more than Mr. Wilkerson, where n is a whole number.

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An ordered pair that is a solution to the equation represented by the graph include the following: A. (-4, 0).

In Mathematics, an ordered pair is sometimes referred to as a coordinate and it can be defined as a pair of two (2) elements or data points that are commonly written in a fixed order within parentheses as (x, y), which represents the x-coordinate (abscissa) and the y-coordinate (ordinate) on the coordinate plane of any graph.

In order to determine the ordered pairs that represent points on the graph of any given function, we would read all the ordered pairs that lie on its line, with respect to the x-coordinate (abscissa) and the y-coordinate (ordinate).

By critically observing the graph of the given function, the required solutions are include following;

Ordered pair = (-4, 0).

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The function y = x + 1 has a slope (rate of change) of 1 as well as an y intercept of 1.

An equation is an expression that shows the relationship between two or more numbers and variables.

The standard form for a linear function is:

y = mx + b

Where m is the slope and b is the y intercept.

Given the function y = x + 1

The function y = x + 1 has a slope (rate of change) of 1 as well as an y intercept of 1.

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Answer:

\({ \tt{0.48 \times 1594.3 = 765}}\)

Answer: 800

Answer:

1000

Step-by-step explanation:

Rounding 0.48 ≈ 0.5 ( to 1 significant figure )

Rounding 1594.3 ≈ 2000 ( to 1 significant figure ) , then

0.5 × 2000 = 1000

Answer:

what is the questions

Step-by-step explanation:

The power of a statistical test of hypotheses is the probability that the test will reject the null hypothesis when a particular alternative value of the parameter is true.

It is the ability of the statistical test to detect a true difference between groups, or a true relationship between variables, when it exists. A high power indicates that the test has a low probability of making a type II error (failing to reject a false null hypothesis).

The power of a test is affected by various factors such as the sample size, level of significance, effect size, and variability of the data.

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It is not equal to 1 - (P-value), nor is it the smallest significance level at which the data will allow you to reject the null hypothesis or the probability that the test will reject both one-sided and two-sided hypotheses.

The correct answer is: The power of a statistical test of hypotheses is the probability that a significance test will reject the null hypothesis when a particular alternative value of the parameter is true. It is the ability of the test to detect a true difference or effect between two groups or conditions. The power is influenced by factors such as the sample size, effect size, and significance level, and is usually calculated before conducting a study to ensure that it has sufficient power to detect meaningful differences. It is not equal to 1 - (P-value), nor is it the smallest significance level at which the data will allow you to reject the null hypothesis or the probability that the test will reject both one-sided and two-sided hypotheses.

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Based on the quantity equation, if m = 8,000, p = 3, and y = 12,000, then v = 0.22

B. The Quantity Equation is a relationship between the money supply (m), the price level (p), and the level of economic activity (y), represented as m = py.

In this case, since we know that m = 8,000, p = 3, and y = 12,000, we can use this equation to solve for v. By dividing both sides of the equation by y, we get m/y = pv. Now we know m/y=8,000/12,000=0.66, and p=3, so we can solve for v by dividing m/y by p, which results in v=0.66/3=0.22 (when rounded) .

This means that the velocity of money (v) is .22, it means that each unit of money is used 0.22 times per year to purchase goods and services.

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Answer:

Slope is - 4

Step-by-step explanation:

The slope of the line will be (-16-(-8))/(-8-(-10))=-8/2=-4

Answer:

-4

Step-by-step explanation:

We have two points so we can use the slope formula

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

   = ( -16 - -8)/(-8 -  -10)

   = (-16+8)/ (-8+10)

   = -8/2

  - 4

Answer:

The length of the yard is 102

Step-by-step explanation:

If the width of the yard is 100 feet, and it's a rectangular, that means the other side of the rectangle is also equal to 100 feet. So so far we have 200 feet of the yard covered. Then we do 404-200=204. So the combined length of both the sides is 204. Since they both equal the same length, we can then do 204/2 to get 102. So one side length is 102 and the L, W, L, W of the rectangle is 102, 100, 102, 100. In other words, the rectangle is 102 by 100.

Answer:

Length of the yard = 102 ft

Step-by-step explanation:

Perimeter of the yard P = 404 ft

Width of the yard W = 100 ft

Find Length of the yard L = ?

Perimeter of a rectangular = 2L + 2W

404 = 2L + 2(100)

2L = 404 - 200

2L = 204

L = 204 / 2

L = 102 ft