You deposit $2000 in an account that earns 5% annual interest. Find the balance in the account after 8 years if the interest is compounded monthly

Answer:

f(x+h)-f(x)/h=5h+10x-6

Step-by-step explanation:

f(x)=5x²-6x+1

f( x+h )=5( x+h )²-6(x+h)+1

          =5(x²+h²+2hx)-6x-6h+1

         =5x²+5h²+10xh-6x-6h+1

f(x+h)-f(x)=(5x²+5h²+10xh-6x-6h+1-(5x²-6x+1)

                =5x²+5h²+10xh-6x-6h+1-5x²+6x-1

                 =5h²+10hx-6h

f(x+h)-f(x)/h=(5h²+10hx-6h)/h

                   =5h+10x-6

Answer:

1

4h﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4

Step-by-step explanation:

I don’t really know how to explain it’s sry.

Answer:

11

Step-by-step explanation:

Let e represent the number of students with blue eyes. Then the number of students with blond hair is 2e. The total number of students is ...

 3 + e + 2e -6 = 30

We subtracted 6 because the expressions e and 2e cause the 6 students with both blond hair and blue eyes to be counted twice.

 3e = 33 . . . . add 3 and simplify

 e = 11

11 students have blue eyes.

Answer:

11

Step-by-step explanation:

11

venn daigram

The type of informational text that Jax is reading based on the given clues is; A: Cause and effect.

An informational text is a nonfiction piece of writing that is intended to provide information on a specific topic. The term "informational text" simply refers to text that contains facts and is supplemented with text features such as graphs, headings, glossaries, and tables of contents.

Some examples of informational text sources are Newspaper articles, Online articles, Brochures with information

Encyclopedias.

In this case, causality is the influence that one event, process, state, or object has on the production of another event, process, state, or object, where the cause is partially responsible for the effect and the effect is partially dependent on the cause.

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Answer:

Step-by-step explanation:

It is Problem and solution looked in the lesson and problem and solution use the same keywords as the challenge, the issue,and to solve.

The geometric power series for the function f(x) = 1 / (9 + x), centered at 0, using long division is (9 - x) / ((9 + x) * (9 - x)).

To find a geometric power series for the function f(x) = 1 / (9 + x) using long division, we can start by expanding the function into a fraction:

f(x) = 1 / (9 + x)

To begin the long division process, we divide 1 by 9 + x:

1 ÷ (9 + x)

To simplify the division, we can multiply the numerator and denominator by the conjugate of the denominator:

1 * (9 - x) / ((9 + x) * (9 - x))

Simplifying further:

(9 - x) / (81 - x^2)

Now, we have expressed the function f(x) as a fraction with a simplified denominator. To find the geometric power series, we can rewrite the denominator using the concept of a geometric series:

(9 - x) / (81 - x^2) = (9 - x) / (9^2 - x^2)

We can see that the denominator is now in the form a^2 - b^2, which can be factored as (a + b)(a - b). In this case, a = 9 and b = x:

(9 - x) / (9^2 - x^2) = (9 - x) / ((9 + x)(9 - x))

Now, we can express the function f(x) as a geometric power series:

f(x) = (9 - x) / ((9 + x)(9 - x))

f(x) = 1 / (9 + x) = (9 - x) / ((9 + x)(9 - x))

f(x) = (9 - x) / (9^2 - x^2) = (9 - x) / ((9 + x)(9 - x))

f(x) = (9 - x) / ((9 + x) * (9 - x))

f(x) = 1 / (9 + x) = (9 - x) / ((9 + x) * (9 - x))

The geometric power series for the function f(x) centered at 0 is given by (9 - x) / ((9 + x) * (9 - x)).

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The volume of the cone is approximately 191 cubic centimeters.

What is the volume of a cone?

The formula for the volume of a cone is:

V = (1/3) * π * r² * h

where "r" is the radius of the base, "h" is the height, and "π" is pi (approximately equal to 3.14).

Substituting the given values, we get:

V = (1/3) * π * (4.5 cm)² * 9 cm

V = (1/3) * π * 20.25 cm² * 9 cm

V = (1/3) * π * 182.25 cm³

V ≈ 191.36 cm³

Rounding to the nearest whole number, we get:

V ≈ 191 cm³

Therefore, the volume of the cone is approximately 191 cubic centimeters.

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We get that the closest answer choice to our estimate is option B, $1,734.25. Therefore, B is the best answer.

Let's assume that the profit function is linear, which means that the profits rise or fall in proportion to the quantity of tickets sold at a constant rate. Using the data for two of the days, we can then determine the equation for the profit function:

We can get the slope of the line using the points (300, P1) and (407, P2), where P1 and P2 are the earnings for Monday and Tuesday, respectively.

slope equals (P2 - P1)/ (407 - 300)

The equation for the profit function can then be found by using the point-slope form of a linear equation:

Slope = P - P1 (x - 300)

where x is the total number of tickets sold and P is the profit from those tickets.

By entering x = 90 into this equation, we can determine the profit for Wednesday:

P=P1 plus slope (90 - 300)

The total profit may then be calculated by adding the profits from each of the three days:

Profit total = P1 + P2 + P

Afterwards, we may assess this expression using the provided answer options to determine which one is most similar to our estimate.

Our calculations show that option B ($1,734.25) is the choice that comes closest to our estimate. Hence, the optimum response is B.

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First you calculate the area of the square, which is 82=64, then you calculate the area of a circle using the formula r2, which gives you 201.06;

you then divide this number by four because you only need the quarter, giving you 50.26. The two regions are added together in the final step, yielding the result

64+50.26=114.2.

All of those points are equally distant from a single point known as the circle's centre, and a circle is a geometric object that follows their paths.

The formula for a quarter circle's area using radius

The area of a circle, A, is equal to r2 if its radius is r.

The size of a quarter circle is then equal to times of A

= ¼ × πr2 = πr2/4

\(114.2cm^{2}\)

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Answer:

\(6x^2 +7x +2\)

Step-by-step explanation:

\((3x +2)(2x +1) \\ 3x(2x +1) + 2(2x +1) \\ 6x^2 +3x +4x +2 \\ 6x^2 +7x +2\)

Answer:b

Step-by-step explanation:

The Social Exchange Theory of interpersonal relationship satisfaction suggests that individuals are motivated to stay in a relationship as long as they feel that the rewards of the relationship are greater than the costs.

In the Social Exchange Theory of interpersonal relationship satisfaction, you would feel happiest in relationships when you feel that the rewards of the relationship equal or exceed its costs.

The Social Exchange Theory states that people evaluate their relationships in economic terms, with rewards being the benefits of the relationship and costs being the negatives. Rewards can include affection, attention, emotional support, sex, and companionship. Costs can include time, effort, money, and negative emotions such as stress, anxiety, and sadness.

According to the theory, individuals will be motivated to stay in a relationship as long as they feel that the rewards of the relationship are greater than the costs.

The opposite is also true; if individuals feel that the costs of the relationship are greater than the rewards, they will be motivated to leave the relationship.

Therefore, people are constantly evaluating their relationships to determine whether they are getting what they need from the relationship and whether it is worth continuing.

The Social Exchange Theory of interpersonal relationship satisfaction suggests that individuals are motivated to stay in a relationship as long as they feel that the rewards of the relationship are greater than the costs.

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Answer:

4.97% is your answer

Step-by-step explanation:

The equation's answer is x = 7.5. 4x - 1 2 = x + 7.

x = 1 is the answer to the problem 3x + 2 = (2x + 13) 3.

a) To solve the equation 4x - 1 ÷ 2 = x + 7, we need to isolate the variable x. Let's follow the steps:

1: Distribute the division operation to the terms inside the parentheses.

  (4x - 1) ÷ 2 = x + 7

2: Divide both sides of the equation by 2 to isolate (4x - 1) on the left side.

  (4x - 1) ÷ 2 = x + 7

  4x - 1 = 2(x + 7)

3: Distribute 2 to terms inside the parentheses.

  4x - 1 = 2x + 14

4: Subtract 2x from both sides of the equation to isolate the x term on one side.

  4x - 1 - 2x = 2x + 14 - 2x

  2x - 1 = 14

5: Add 1 to both sides of the equation to isolate the x term.

  2x - 1 + 1 = 14 + 1

  2x = 15

6: Divide both sides of the equation by 2 to solve for x.

  (2x) ÷ 2 = 15 ÷ 2

  x = 7.5

Therefore, x = 7.5 is the solution to the equation 4x - 1 ÷ 2 = x + 7. However, note that this answer is not an integer, so it may not be valid for certain contexts.

b) To solve the equation 3x + 2 = (2x + 13) ÷ 3, we can follow these steps:

1: Distribute the division operation to the terms inside the parentheses.

  3x + 2 = (2x + 13) ÷ 3

2: Multiply both sides of the equation by 3 to remove the division operation.

  3(3x + 2) = 3((2x + 13) ÷ 3)

  9x + 6 = 2x + 13

3: Subtract 2x from both sides of the equation to isolate the x term.

  9x + 6 - 2x = 2x + 13 - 2x

  7x + 6 = 13

4: Subtract 6 from both sides of the equation.

  7x + 6 - 6 = 13 - 6

  7x = 7

5: Divide both sides of the equation by 7 to solve for x.

  (7x) ÷ 7 = 7 ÷ 7

  x = 1

Hence, x = 1 is the solution to the equation 3x + 2 = (2x + 13) ÷ 3.

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Answer:

Step-by-step explanation:

figure 1 is 14 and 2 is 32

The probability density function for the uniform distribution over the interval from 25 to 40 is given by f(x) = 5/8 for 25 < x < 40 and f(x) = 0 elsewhere.

In probability theory and statistics, a probability density function (PDF) describes the likelihood of a random variable taking on a specific value within a given range. In this case, we are dealing with a uniform distribution over the interval from 25 to 40. The PDF, denoted as f(x), is defined as 1 divided by the width of the interval, which is 40 - 25 = 15 in this case.

Since the uniform distribution is continuous, the PDF remains constant within the interval and is equal to 1 divided by the width. Therefore, we have f(x) = 1/15 for 25 ≤ x ≤ 40, which means that any value within this range has an equal probability of occurring.

Outside the interval from 25 to 40, the PDF is equal to 0, indicating that the probability of obtaining a value outside this range is zero. This makes sense since the uniform distribution assigns equal probability to each point within the interval but assigns zero probability to values outside of it.

In summary, the probability density function for the uniform distribution over the interval from 25 to 40 is f(x) = 5/8 for 25 < x < 40 and f(x) = 0 elsewhere. This means that any value within the interval has a probability density of 5/8, while values outside the interval have a probability density of 0.

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Answer:

y = -5/2x + 4

Answer:

25.5

Step-by-step explanation:

There are 12 inches in a foot and therefore...

306/12=25.5

306 inches is 25.5 feet

Answer:

S(-3,7)

Step-by-step explanation:

Rise/Run

M(1,4) R(5,1)

1+run=5        4+rise=1

run=4              rise= -3

1-4= -3       4+3=7

Answer A is the only one that seems to make sense to me id choose A

a and d are true statement

ok as know to me

Answer:

If a 4-ounce serving of ice cream has 8 grams of sugar, we can use proportional reasoning to find out how many grams of sugar are in a 10-ounce serving and a 16-ounce container.

Let's call the number of grams of sugar in a 10-ounce serving "x". We can set up the following proportion:

4 ounces / 8 grams = 10 ounces / x grams

To solve for x, we can cross-multiply and simplify:

4 * x = 8 * 10

4x = 80

x = 20

Therefore, a 10-ounce serving of ice cream has 20 grams of sugar.

To find out how many grams of sugar are in a 16-ounce container, we can set up another proportion:

4 ounces / 8 grams = 16 ounces / y grams

Cross-multiplying and simplifying:

4 * y = 8 * 16

4y = 128

y = 32

Therefore, a 16-ounce container of ice cream has 32 grams of sugar

Check the picture below.

The given function is C(x) = 936 + 80x + 0.12x^2, where x represents the number of mountain bikes produced daily. The average cost function is also given by C(x).
To make the mountain bike as affordable as possible, the company should target a production level of 333.33 mountain bikes daily, where the average cost function is at its minimum. Rounded to 2 decimal places, the answer is

c = 333.33.

First, let's correct the given cost function: C(x) = 936x + 80x^2 + 0.12x^3. Now, we'll use the terms "function," "average," and "increases."

To find the average cost function, we need to divide the total cost function, C(x), by the number of mountain bikes produced daily, x. Let A(x) represent the average cost function:

A(x) = C(x) / x

Now, let's substitute C(x) into this equation:

A(x) = (936x + 80x^2 + 0.12x^3) / x

Simplify by canceling out an x term:

A(x) = 936 + 80x + 0.12x^2

To find the production level c where the average cost function decreases and then increases, we need to find the minimum point on the A(x) curve. To do this, we'll differentiate A(x) with respect to x to obtain the first derivative:

A'(x) = 80 + 0.24x

Now, set the first derivative equal to zero and solve for x:

80 + 0.24x = 0

0.24x = -80

x = c = -80 / 0.24

Round to 2 decimal places:

c ≈ 333.33

So, to make the mountain bike as affordable as possible, the company should target a production level of approximately 333.33 mountain bikes daily.

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Answer:

Step-by-step explanation:

From the picture attached,

Area of ΔECD = \(\frac{1}{2}(\text{Base})(\text{Height})\)    

                       = \(\frac{1}{2}(EF)(CD)\)

From ΔEFD,

sin(32°) = \(\frac{\text{Opposite side}}{\text{Hypotenuse}}\)

sin(32°) = \(\frac{EF}{ED}\)

EF = 14 × sin(32°)

    = 7.42 cm

By cosine rule,

EC² = DE² + CD² - 2(DE)(CD)cos(32°)

EC² = 14² + 27² - 2(14)(27)cos(32°)

EC² = 196 + 729 - 641.12

EC² = 283.88

EC = 16.85 cm

Area of ΔECD = Area of ΔAEB = \(\frac{1}{2}(7.42)(27)\)

                                                   = 100.17

Area of ΔECD + Area of ΔAEB = 2(100.17)

                                                   = 200.34 cm²

Area of sector BEC = \(\frac{\theta}{360}(\pi r^{2})\)

Here, θ = central angle of the sector

Area of sector BEC = \(\frac{105}{360}(\pi)( EC)^{2}\)

                                = \(\frac{105\pi}{360}(16.85)^2\)

                                = 260.16 cm²

Area of the logo = Area of triangles AEB + Area of triangle ECD + Area of sector BEC

= 200.34 + 260.16

= 460.50

≈ 460 cm²

The area of the logo will be 460 square cm.

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

The diagram shows a logo.

ABE and DCE are congruent triangles.

BCE is a sector of a circle, center E.

Then the area of the logo will be

The radius of the sector will be

r² = 27² + 14² - 2 x 27 x 14 x cos 32°

r = 16.85 cm

Then the height of the triangle will be

h = 14 x sin 32°

h = 7.42 cm

Then the area of the geometry will be

Area = area of sector + 2 x area of triangle

Area = (105°/360°) x π x 16.85² + 2 x 1/2 x 27 x 7.42

Area = 260.16 + 200.30

Area = 460.46

Area ≅ 460

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Answer:

$1105

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4.25%/100 = 0.0425 per year,

then, solving our equation

I = 6500 × 0.0425 × 4 = 1105

I = $ 1,105.00

The simple interest accumulated

on a principal of $ 6,500.00

at a rate of 4.25% per year

for 4 years is $ 1,105.00.

Answer:

No

Step-by-step explanation:

From part (b)

If number who voted = 280

Number of voters who would have voted Geron:

35% * 280

0. 35 * 280 = 98 voters

40 people voted for others:

To check if estimate from. Part b is accurate :

10% voted for others

10% of estimated voters = 40

Let, number of estimated voters = x

0.1 * x = 40

0.1x = 40

x = 40/0.1

x = 400

If 40 people Voted others, the the number of voters should be 400 and not 280

Answer:

No

Step-by-step explanation:

The greatest number of sides that can result from a cross section of a rectangular prism is 6.

To see why, consider a rectangular prism. The prism has 6 faces, which are all rectangles. If we take a cross section of the prism, the section will intersect some of the faces, resulting in a closed shape. The shape will have at most as many sides as the number of sides of the faces that the section intersects.

Since each face of the rectangular prism has 4 sides, the maximum number of sides that can result from a cross section is 4 x 6 = 24. However, this is only possible if the section intersects every face of the prism, which is unlikely to occur in general. In practice, a cross section of a rectangular prism is more likely to intersect just a few of the faces, resulting in a shape with fewer sides. Therefore, the greatest number of sides that can result from a cross section of a rectangular prism is 6, which occurs when the section intersects all 6 faces.

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Data that are accurate, consistent, and available in a timely fashion are considered C) high-quality.

High-quality data is characterized as being reliable, consistent, and timely. High-quality data offers a strong foundation for analysis and decision-making because it is accurate, error-free, and consistent.

It is a valuable asset for organizations because it promotes accurate reporting and analysis, increases operational efficiency, and allows for informed decision-making. Although database management systems like Oracle and Microsoft SQL Server can assist with managing and storing data, the quality of the data is unrelated to the particular technology or program employed.

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The wheel has diameter 60 cm = 0.60 m, and thus circumference π(0.60 m) ≈ 5.923 m.

In one complete revolution, a point on the edge of the wheel covers this distance, so that the wheel has an angular speed of

(13.2 m/s) * (1/5.923 rev/m) ≈ 2.229 rev/s

There are 60 seconds to each minute, and 60 minutes to each hour, so converting to rev/h gives

(2.229 rev/s) * (60 s/min) * (60 min/h) ≈ 8024 rev/h

he value of the expression cosB, sinB, sinA, tanB, tan A 4√15/17, 7/17, 4√15/17, 7/4√15 and 4√15/7

According to the trigonometry identity

tan Ф = opposite/adjacent

sin Ф = opposite/hypotenuse

cos Ф = adjacent/hypotenuse

From the given triangle;

AC = 7

AB = 17

BC = 4√15

Determine the following trigonometry given

cos B = BC/AB

cos B = 4√15/17

sinB = AC/AB

sin B = 7/17

sinA = cos B = 4√15/17

tan B = AC/BC

tan B = 7/4√15

tan A = BC/AC

tan A = 4√15/7

The value of the expression cosB, sinB, sinA, tanB, tan A 4√15/17, 7/17, 4√15/17, 7/4√15 and 4√15/7

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