2200 dollars is placed in an account with an annual interest rate of 7.25%. How much
will be in the account after 20 years, to the nearest cent?

Answer:

thousdand

Step-by-step explanation:

5is in units place

6 is in tens place

9 is in hundreds place

4 is in thousands place

The ladder reaches approximately 16.97 feet up the side of the house. Rounded to the nearest hundredth, it would be 16.97 feet.

To determine how far up the side of the house the ladder reaches, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, the ladder acts as the hypotenuse of a right triangle, with one side being the distance from the base of the ladder to the house (6 feet) and the other side being the vertical distance we want to find. Let's call the vertical distance "x."

Using the Pythagorean theorem, we have:

(6^2) + (x^2) = (18^2)

36 + x^2 = 324

x^2 = 288

Taking the square root of both sides, we get:

x ≈ √288 ≈ 16.97

Therefore, the ladder reaches approximately 16.97 feet up the side of the house. Rounded to the nearest hundredth, it would be 16.97 feet.

Learn more about side here

https://brainly.com/question/17145398

#SPJ11

An 18-foot extension ladder is placed 6 feet away from a house.  How far up the side of the house does the ladder reach? (Round to the nearest hundredth).

Answer:

The dimensions are 5 and 7

Step-by-step explanation:

Answer:

42, 56, 70

Step-by-step explanation:

A right triangle must always have a ratio of side lengths that allow it to connect fully.

Answer:

circle a circumference is 25.13 and the area is 50.27. circle b circumference is 9.42 and the area is 7.0 7

I have no clue about part C

The value of x in the angles is 17

The angles are given as

3x + 10 and 2x - 5

These angles are complementary angles

So, we have

3x + 10 + 2x - 5 = 90

Collect the like terms

So, we have

3x + 2x + 10 - 5 = 90

Evaluate the like terms

So, we have

5x = 85

Divide both sides by 5

x = 17

Hence, the value of x in the angles is 17

Read more about angles at

brainly.com/question/7620723

#SPJ1

The equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is y = (5/2) * x^2y + 1. This equation represents a curve where the y-coordinate is a function of the x-coordinate, satisfying the conditions.

To determine an equation of the curve that satisfies the conditions, we can integrate the slope function with respect to x to obtain the equation of the curve. Let's proceed with the calculations:

We have:

Point: (0, 1)

Slope: 5xy

We can start by integrating the slope function to find the equation of the curve:

∫(dy/dx) dx = ∫(5xy) dx

Integrating both sides:

∫dy = ∫(5xy) dx

Integrating with respect to y on the left side gives us:

y = ∫(5xy) dx

To solve this integral, we treat y as a constant and integrate with respect to x:

y = 5∫(xy) dx

Using the power rule of integration, where the integral of x^n dx is (1/(n+1)) * x^(n+1), we integrate x with respect to x and get:

y = 5 * (1/2) * x^2y + C

Applying the initial condition (0, 1), we substitute x = 0 and y = 1 into the equation to find the value of the constant C:

1 = 5 * (1/2) * (0)^2 * 1 + C

1 = C

Therefore, the equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is:

y = 5 * (1/2) * x^2y + 1

Simplifying further, we have:

y = (5/2) * x^2y + 1

To know more about equation of the curve refer here:

https://brainly.com/question/31467851#

#SPJ11

Answer:

To convert kilometers to feet, multiply the kilometer value by 3280.839895. For example, to find out how many feet there are in 2 kilometers, multiply 2 by ...

Step-by-step explanation:

The correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.

We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.

The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.

First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.

z1 = 2,000 / 5,000 = 0.4.

Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.

z2 = 5,000 / 5,000 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.

Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.

Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.

Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.

So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

To learn more about probability click here:

brainly.com/question/31828911

#SPJ11

The probability of a cash flow between $16,000 and $19,000 is approximately 18.59%.

To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.

We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.

The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.

First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.

z1 = 2,000 / 5,000 = 0.4.

Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.

z2 = 5,000 / 5,000 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.

Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.

Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.

Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.

So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

To learn more about probability click here:

brainly.com/question/31828911

#SPJ11

Answer:

63/5 in improper form and 12 and 3/5 in mixed form

Step-by-step explanation:

f(x) = 2/5x + 11

Substitute in value of x for the equation

f(4) = 2/5(4) + 11

f(4) = 8/5 + 11

f(4) = 8/5 + 55/5

f(4) = 63/5 or 12 and 3/5

So, the answer should be 63/5 in improper form and 12 and 3/5 in mixed form.

Answer:

Step-by-step explanation:

f(x) = \(\frac{2}{5}x + 11\)

f(4) = \(\frac{2}{5}*4 +11\\\)

     \(=\frac{8}{5}+11\\\\=\frac{8}{5}+\frac{11*5}{1*5}\\\\=\frac{8}{5} + \frac{55}{5}\\\\=\frac{63}{5}\\\\=12\frac{3}{5}\)

If a test is a robust test, it is option 3) may often be able to be used despite violations of its underlying assumptions.

A robust statistical test is one that is not overly influenced by violations of its underlying assumptions, such as normality or equal variances. This means that the test can still provide valid results even if the data does not meet the ideal assumptions. However, this does not mean that the test is not sensitive to the underlying assumptions, as it is still important to consider the assumptions when interpreting the results. Additionally, a robust test may be intended for use with a single sample or more than two samples, not necessarily just two samples.

learn about robust test,

https://brainly.com/question/15966631

#SPJ11

The complete factorization of 3x⁵- 75x³ is:- 3x³(x + 5)(x - 5)

How to solve factor?

To factor completely the expression 3x⁵ - 75x³, we can first factor out the greatest common factor (GCF) of the two terms, which is 3x³:

3x³(x² - 25)

Next, we can factor the expression inside the parentheses using the difference of squares formula:

3x³(x + 5)(x - 5)

Therefore, the complete factorization of 3x⁵ - 75x³ is:

3x³(x + 5)(x - 5)

We can check that this is the correct factorization by using the distributive property of multiplication and verifying that the product of the factors is equal to the original expression:

3x³(x + 5)(x - 5) = 3x³(x² - 25)

= 3x³x² - 3x³(25)

= 3x⁵ - 75x³

So the factorization is correct.

In summary, to factor completely an expression like 3x⁵ - 75x³, we should first factor out the GCF and then look for further factorization opportunities using various factorization techniques such as the difference of squares formula, the sum or difference of cubes formula, or the quadratic formula. It's important to remember to check our work by multiplying the factors back together to ensure that we get the original expression.

To know more about factors visit:-

https://brainly.com/question/25829061

#SPJ1

Answer:

Hi there!

We've given with the base area and height. We know the formula for base area

Base area = πr²

154 = 22/7 × r²

154 × 7/22 = r²

49 = r²

√49 = r

7 = r

Now

TSA = 2πr(h + r)

TSA = 2 × 22/7 × 7(7 + 20)

TSA = 44(27)

TSA = 1188 cm²

Answer:

Option (2)

Step-by-step explanation:

From the given set of numbers we have to arrange them in the increasing order.

{\(\sqrt{72},9.25,\sqrt{83},\pi^2,8.7\)}

Since, \(\sqrt{72}=8.49\)

\(\sqrt{83}=9.11\)

\(\pi ^2\) = 9.87

Therefore, set of numbers will be in the form of,

{8.49, 9.25, 9.11, 9.87, 8.7}

Now arranging these numbers in the increasing order,

8.49 < 8.7 < 9.11 < 9.25 < 9.87

Therefore, numbers in the increasing order will be,

{\(\sqrt{72},8.7,\sqrt{83},9.25,\pi ^{2}\)}

Option (2) will be the answer.

Answer:

a 90° clockwise rotation about the origin and then a reflection a cross the x-axis

The correct sequence is  90° clockwise rotation about the origin and then a reflection a cross the x-axis.

There are two different directions of rotations, clockwise and counterclockwise: Clockwise Rotations (CW) follow the path of the hands of a clock. These rotations are denoted by negative numbers. Counterclockwise Rotations (CCW) follow the path in the opposite direction of the hands of a clock.

So, according the given transformation the point A' appears on right side then is clockwise rotation.

If it was counterclockwise rotation then point A' appears on left side.

After that is over x- axis then it is reflection across the x-axis.

Learn more about  counterclockwise rotation and clockwise rotation here:

https://brainly.com/question/1790540

#SPJ2

Answer:

9%

Step-by-step explanation:

Reflexive:

The relation R is not reflexive because for any positive integer x, (x,x) cannot be in R since |x-x| is not equal to 2.

Symmetric:

The relation R is not symmetric since if (x,y) is in R, then |x-y| = 2. But this does not imply that |y-x| = 2. Therefore, (y,x) may not be in R.

Antisymmetric:

The relation R is antisymmetric since if (x,y) and (y,x) are both in R, then |x-y| = 2 and |y-x| = 2. Therefore, x = y, which means that (x,y) and (y,x) refer to the same pair of integers.

Transitive:

The relation R is transitive since if (x,y) and (y,z) are both in R, then |x-y| = 2 and |y-z| = 2. Therefore, |x-z| = |x-y+y-z| = |x-y|+|y-z| = 4. Thus, (x,z) is in R.

Partial Order:

The relation R is a partial order since it is reflexive, antisymmetric, and transitive.

Total Order:

The relation R is not a total order since there are some pairs of positive integers that are not related by R. For example, (1,3) and (3,5) are both in R, but (1,5) is not in R.

Learn more about positive integer here:

https://brainly.com/question/18380011

#SPJ11

Precalculus is an example here, since x=−2 is a vertical type line, there is no  y-intercept as well as the slope is undefined.

The slope is undefined and all of the factors on the road have an x-coordinate of that (a few number). For example, if x = -2, then all factors alongside this line can have an x-coordinate of -2, making it a vertical line. y=−2 is a flat line crossing the factor at (0,−2) consequently the gradient is 0 and the the y intercept is -2.

A terrible slope approach that variables are negatively related; that is, whilst x increases, y decreases, and whilst x decreases, y increases. Graphically, a terrible slope approach that as the road on the road graph movements from left to right, the road falls. The x-coordinate -2 is represented throughout. This is NOT a function.

Learn more about line intercept: brainly.com/question/24990033

#SPJ4

The Original price of the meal was $12.16.

Discount Percent is defined as the discount given on the product per hundred .

For Example . if there is 10% discount on a price of $100.

The final amount will be $90.

Final amount paid by Fiona = $8.25

percentage discount = 10%

Let the original amount be x.

According to the question ;

x - 10% of x = 8.25

\(x-\frac{10}{100} *x=8.25\\ \\ \frac{100x-10x}{100} =8.25\\ \\ \frac{90x}{100} =8.25\\ \\ x=\frac{8.25*100}{90}\\ \\ x=\frac{825}{90} \\ \\ x=9.16\)

Since Fiona also had a discount coupon of  $3.

The original amount will be $9.16+$3=$12.16.

Therefore , The original price of the meal was $12.16.

Learn more about Discount Percent here https://brainly.com/question/14587503

#SPJ4

Answer:

x = 51.3°

Step-by-step explanation:

Hope this helped!

Answer:

5/4

Step-by-step explanation:

y2 - y1 / x2 - x1

3 - (-7) / 4 - (-4)

10 / 8

= 5/4

The range would be [75,212] because the lowest Y value is 75 and the greatest one is around 212.5. .5] a domain and a range.

You may recall this by saying "DoLaR RiBiT," where "DoLaR" stands for "domain," "L" and "R" stand for "left to right," "R" stands for "range," and "B" and "T" stand for "bottom to top," and "R" stands for "range." Since the function doesn't approach 250, as can be seen in the graph, 250 is not inside the range.

Between the minimum and greatest value are the numbers that make up the range. The range would be [75,212] because the lowest Y value is 75 and the greatest one is around 212.5. .5] a domain and a range. The collection of values that can be plugged into a function's domain are called its parameters.

To learn more about domain refer to :

https://brainly.com/question/2264373

#SPJ1

Because the lowest Y value is 75 and the highest one is around 212.5, the range would be [75,212].

You may remind yourself of this by repeating "DoLaR RiBiT," where "DoLaR" stands for "domain," "L" and "R" are "left to right," "R" is "range," "B" and "T" are "bottom to top," and "R" is "range." Since the function doesn't approach 250, as can be seen in the graph, 250 is not inside the range.

1. The numbers that make up the range lie between the lowest and highest value. Because the lowest Y value is 75 and the highest one is around 212.5, the range would be [75,212].

The set of values that can be plugged into the domain of a function is referred to as its parameters.

Thus, the range would be [75,212] because the lowest Y value is 75 and the maximum is somewhere around 212.5.

2. The set of all temperatures that the water can attain is the function's range. The temperature of the water rises quickly at first, then more gradually, and after 30 minutes, it levels off and stops rising altogether, as shown by the graph.

As a result, the range of the function is a range of temperatures, beginning at the water's initial temperature and ending at the water's highest temperature.

3. The time at which the water reaches a temperature of 0 degrees Fahrenheit is represented by the equation W(t) = 0. We can observe from the provided graph that the water temperature rises quickly at first and subsequently more gradually.

The water is therefore unlikely to ever reach a temperature of 0 degrees Fahrenheit. As a result, W(t) = 0 cannot be solved.

For more details regarding range, visit:

https://brainly.com/question/29204101

#SPJ6

By definition of perimeter, direct observation and Pythagorean theorem, the perimeter of kite OBDE is 38 units. (Correct choice: C)

In geometry, the perimeter is the sum of the lengths of the sides of a figure.  Herein we must determine the perimeter of a quadrilateral, the kite OBDE, that is, the sum of the lengths of its four sides:, which can be found both by direct observation or by the use of the Pythagorean theorem.

Please notice that the quadrilateral has an axis of symmetry passing through the points O and D, which implies that OB = OE and BD = DE. The length of sides BD and DE is 6 units and the length of the sides OB and DE are:

OB = DE = 0.5 · √(24² + 10²)

OB = DE = 13

Lastly, the perimeter of kite OBDE is p = 2 · 6 + 2 · 13 = 38 units.  

To learn more on perimeters: https://brainly.com/question/6465134

#SPJ1

Answer:  C. 38 units

Step-by-step explanation:  TRUST ME!!! Answer is correct on Edge!!!  :)

Just did it and got it correct!

Answer:

32

Step-by-step explanation:

Pythagorean Theorem is a^2+b^2=c^2 and 40 is c^2 so we would do 40^2-24^2=b^2 so 1600-576 is 1024 and the square root of 1024 is 32 so b would be 32

Answer:

34

Step-by-step explanation:

Given:

a=24

c=40

Required:

b=?

Formula:

\(a {}^{2} + b {}^{2} = c {}^{2} \)

Solution:

\(a {}^{2} + b {}^{2} = c {}^{2} = (24) {}^{2} + b {}^{2} = (40) {}^{2} = 576 + b {}^{2} = 1600 = b {}^{2} = 1600 - 576 = 1024 = b {}^{2} = 1024 = \sqrt{ {b}^{2} } = \sqrt{1024} = 34 \)

Hope this helps ;) ❤❤❤

When testing the null hypothesis with an alpha value of 0.05, the critical value will be larger than if you were testing with an alpha value of 0.01.

If you are testing the null hypothesis with an alpha value of 0.05, the critical value will be smaller than if you were testing the alpha value of 0.01. This is because a smaller alpha value means a more stringent test of significance, which requires stronger evidence to reject the null hypothesis.

Therefore, the critical value is larger for a smaller alpha value to reflect the higher level of evidence required for rejection. Conversely, a larger alpha value allows for a less stringent test of significance, requiring weaker evidence to reject the null hypothesis, which results in a smaller critical value.

Know more about the alpha value

https://brainly.com/question/30639544

#SPJ11

If you started off with 20 baseball cards and now have 15, that means you lost half of your collection and added 5 new ones.

Let's say that the original number of baseball cards you had was x.

According to the problem, half of your baseball card collection got wet and was ruined. This means that you lost 1/2 * x baseball cards.

You then bought 5 cards to replace some that were lost, so you now have:

x - 1/2 * x + 5 = 15

Simplifying this equation, we get:

1/2 * x + 5 = 15

Subtracting 5 from both sides, we get:

1/2 * x = 10

Multiplying both sides by 2, we get:

x = 20

Therefore, you began with 20 baseball cards if you now have 15 after losing half of your collection and buying 5 new cards.

Learn more on word problem here: https://brainly.com/question/21405634

#SPJ1

Answer: =432000

Step-by-step explanation: Hope this help :D

The average speed of the whole journey is 24 kilometres per hour.

The average speed is the total distance travelled by the object in a particular time interval.

A car travels from X to Y at an average speed of 60km/h and returns to X at a speed of 40km/h.

Therefore, the average speed for the whole journey can be calculated as follows:

The total distance travelled is 120 km.

Hence,

total time = 120 / 60 + 120 / 40

total time = 2 + 3 = 5 hours

Therefore,

average speed = total distance / total time taken

average speed = 120 / 5

average speed = 24 km/hr

learn more on average speed here: https://brainly.com/question/29798030

#SPJ1