Aaron invested $570 in an account paying an interest rate of 7% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 8 years?

A mathematical combination of numbers and letters that result in the desired answer is called an algebraic expression.

Expression:

An expression contains minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.

Given:

A mathematical combination of numbers and letters that result in the desired answer is called.

Here we need to find the term that is suitable for this definition.

Here the answer is algebraic expression.

Basically, the algebraic expression is the combinations of variables , numbers, and at least one arithmetic operation.

For example,

2x + 3y = 5

Where

x and y are variables

2,3 are coefficients of ax and y

5 is the constant

+ and = are the arithmetic operators.

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Answer:

  (A)  3(x +5) +(5x +15) +7x = 180

  (B)  x = 10

  (C)  A = 45°, B = 65°, C = 70°

Step-by-step explanation:

The sum of angles in a triangle is 180°.

  m∠A +m∠B +m∠C = 180°

  3(x +5) +(5x +15) +7x = 180 . . . . . substitute given expressions

__

  15x +30 = 180 . . . . . . . . . . . . . simplify

  15x = 150 . . . . . . . . . . . . . . subtract 30

  x = 10 . . . . . . . . . . . . . . divide by 15

__

The angle measures are found from the given expressions:

  m∠A = 3(x +5) = 3(10 +5) = 45

  m∠B = 5x +15 = 5(10) +15 = 65

  m∠C = 7x = 7(10) = 70

m∠A = 45°, m∠B = 65°, m∠C = 70°

Answer:

\(\boxed {\boxed {\sf x=5}}\)

Step-by-step explanation:

We are given a quadrilateral. It will be difficult to find x using this shape, but we can drop a perpendicular line and create a right triangle (refer to the attached image).

Match up the other sides. The height is equal to 4.

At the base, the longer portion is 7 because the line segment above the base is 7. Since the entire base is 10, the smaller portion must be 3 because 10-7=3.

Now we have 2 sides of a right triangle and one unknown. We can use the Pythagorean Theorem.

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

Where a and b are the legs and c is the hypotenuse.

In this triangle, 4 and 3 are the legs because they make the right angle. x is the hypotenuse because it is opposite the right angle.

Substitute the values into the formula.

\((4)^2+(3)^2=x^2\)

Solve the exponents.

\(16+(3)^2=x^2\)

\(16+9=x^2 \\\)

\(25=x^2\)

Take the square root of both sides of the equation to isolate the variable.

\(\sqrt{25} =\sqrt{x^2}\)

\(5=x\)

x is equal to 5.

On solving the provided question, we can say that this function f(x) = 2x - 4 => f(x) = 18 - 4 = 14

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

f(x) = 2x - 4

here, in this function f(x)

x = 9

so, f(9) = 2*9 - 4

f(x) = 18 - 4 = 14

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The time taken by the planes when they are 2000 miles apart is 2 hours.

We all know that formula of distance, speed and time is given by  distance = speed*time or time = distance/speed

Let x be the number of hours that the two planes will be 2000 miles apart.

Let 430x be the distance traveled by the first plane at 430 miles per hour

and 570x be the distance traveled by the second plane at 570 miles per hour.

here, 430x +570x =2000 is the total distance travelled by the first plane and the second plane

Solving yields the following steps:

1000x = 2000

Dividing 1000 to both sides of the above equation, we get

1000x/1000=2000/1000

So the value of x will be equivalent to 2

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Answer:

31,75

Step-by-step explanation:

at x = -3,5 => f(x) = (-3,5)^2 - 5.(-3,5) + 2 = 31,75

Answer:

f(x)=31.75

Step-by-step explanation:

The function on the table is

The function is proportional, because as x increases, the y value change is constant, The common ratio of this function is 1/2

A constant that multiplies or divides each term to create the following term is known as a common ratio in geometric sequences.

Following the table and calculating it using geometric sequence or multiplier, we have that

The terms are: 24, 12, 6, 3

this shows a common ratio of 1/2

24 * 1/2 = 12

12 * 1/2 = 6

6 * 1/2 = 3

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Answer:

The dimensions are:

Length = 5m and Width = 4m

Or

Length = 4m and Width = 5m

Step-by-step explanation:

A rectangular dining room has an area of 20 square meters. It's perimeter is 18 meters. What are the dimensions of the dining room?

Area of a rectangle = Length × Width

= LW = 20 m²

Perimeter of a rectangle =

2L + 2W = 18 m

Hence:

LW = 20...... Equation 1

L = 20/W

2L + 2W = 18 ...... Equation 2

We substitute

20/W for L in Equation 2

2(20/W) + 2W = 18

40/W + 2W = 18

Multiply through by W

40 + 2W² = 18W

2W² - 18W + 40 = 0

2W² - 10W - 8W + 40 = 0

(2W - 8 )(W - 5) = 0

2W - 8 = 0

2W = 8 , W = 8/2 = 4m

W - 5 = 0

W = 5m

W = 4m or 5 m

Solving for L

When W = 5 m

L = 20/W

L = 20/5

L = 4m

When W = 4m

L = 20/W

L = 20/4

L = 5m

Therefore, the dimensions are:

Length = 5m and Width = 4m

Or

Length = 4m and Width = 5m

Answer:

If 32 students are enrolled in the course, there would be 24 girls.

Step-by-step explanation:

Given that For every boy in an advanced math course there are 3 girls who are taking the course.

It means if there are four students in the class. There would be 3 girls and 1 boy. Thus, 75% of the students are girls.

Given that there are 32 students enrolled in the course.

so

75% of 32 = 75/100 × 32

                 = 24

Thus, if 32 students are enrolled in the course, there would be 24 girls.

The expression represents the volume, in cubic inches, of Carly's Cube is 125 cubic inches.

Owens cube:

Volume of a cube = side³

= 7 in³

= 343 cubic inches

Pat's cube:

side = 7in + 3in

= 10 in

Volume of a cube = side³

= 10in³

= 1000 cubic inches

Carly's cube:

side length= 1/2 of 10in

= 1/2 × 10

= 5in

Volume of Carly's cube = side³

= 5in³

= 125 cubic inches

Therefore, the volume of Carly's cube I given by 125 cubic inches.

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Answer:

-2x - y = -5 in slop intercept form would be y = -2x + 5

Step-by-step explanation:

-2x - y = -5

first add -2x to the left side to move it to the right side because whatever you do to one side u do to the other.

-y = -5 + 2x

divide by -1 on the whole equation

y = -2x + 5 is your answer.

The ±3σ control limits for the x-bar chart, given a double overbar(x) of 20 ounces, σ of 6.0 ounces, and n of 16, will be 5.15 ounces and 34.85 ounces.

In the x-bar chart, the control limits represent the range within which the sample means should fall if the process is in control. The ±3σ control limits are typically used, where σ is the standard deviation of the process.

To calculate the ±3σ control limits for the x-bar chart, we need to consider the formula:

Control limits = double overbar(x) ± 3 * (σ / sqrt(n)).

Given that double overbar(x) is 20 ounces, σ is 6.0 ounces, and n is 16, we can substitute these values into the formula:

Control limits = 20 ± 3 * (6.0 / sqrt(16)).

First, we calculate (6.0 / sqrt(16)) as (6.0 / 4) = 1.5 ounces.

Then, we multiply 1.5 ounces by 3 to obtain 4.5 ounces

Finally, we apply the control limits formula:

Lower control limit = 20 - 4.5 = 15.5 ounces.

Upper control limit = 20 + 4.5 = 24.5 ounces.

Therefore, the ±3σ control limits for the x-bar chart are 15.5 ounces and 24.5 ounces.

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Answer:

$20

Step-by-step explanation:

Original price = $50

Percentage = 60%

50 *  60% = $30.

New price = $50-$30 = $20

Answer:

314 =4 Pi (r squrared)

Step-by-step explanation:

so second option is the right answer

Answer:

43.13

Step-by-step explanation:

Answer: No real solutions

Step-by-step explanation: to solve for x and find a solution you need to take the square root of -144

This is not possible as this a negative number . There is a solution if we use complex numbers, but this not included in the question

Answer:

C = 5.25 + 0.50H

Step-by-step explanation:

gah, I'm never sure how to explain my work in these sorts of problems. hopefully I was able to help anyways!

Answer:

c=(5.25+0.50H

Step-by-step explanation:

Answer:

NO IT IS NOT

Step-by-step explanation:

16 1/2 = 16.5 1/28 = 0.0357

NOT THE SAME!!!!!

Please mark brainiest if this is helpful! :D

Step-by-step explanation:

\( \frac{1}{28} = 16 \frac{1}{2} \\ \frac{1}{28} = \frac{33}{2} \\ \\ not \: the \: same\)

Answer:

- 125

Step-by-step explanation:

0 .2 x + 1.2 = 0 .5 x​

collecting like terms, we have :

0. 5 x - 0 . 2 x = 1 . 2

0. 3 x = 1. 2

Divide both sides , we have:

x = 1 . 2 / 0. 3

x = 4

In Herrnstein's matching equation, the letters and numbers to the left of the equals sign refer to behaviour.

THE MATCHING LAW

Herrnstein's Experiment Herrnstein (1961) conducted an experiment with pigeons in a room with two response buttons, red and white. Each key was assigned its own VI gain schedule. For example, under one condition, the left button pick was boosted on a VI 135 second schedule, and the right button pick was boosted on a VI 270 second schedule.

After the birds have learned as much as possible about this electoral situation, how do they distribute their responses? We trained them for days and then measured their reactions. As is often the case with VI schedules, birds returned many responses for each reinforcer received. Most interesting, however, is that in this condition, where two-thirds of the reinforcers came from the left button, the birds performed about two-thirds of the responses with the left button. That is, the proportion of left button responses equaled or matched the proportion of reinforcers delivered by the left button. In another condition, two birds received only about 15% of reinforcers from the left key and responded about 15% to that key.

Based on these results, Herrnstein proposed the following general principle for individual behavior when presented with alternative sequences. So, what you think makes sense rather than other options available at that particular moment.

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Answer:

the answer its 7^2 +7^3x5 its d hope helps you

Step-by-step explanation:

The maximum difference in radius for 295/75R22.5 trailer tires is 0.625 inches.

The tire size 295/75R22.5 represents certain measurements. The first number, 295, refers to the tire's width in millimeters. The second number, 75, represents the aspect ratio, which is the tire's sidewall height as a percentage of the width. The "R" stands for radial construction, and the number 22.5 denotes the diameter of the wheel in inches.

To calculate the maximum difference in radius, we need to determine the difference between the maximum and minimum radius values within the given tire size. The aspect ratio of 75 indicates that the sidewall height is 75% of the tire's width.

To find the maximum radius, we can calculate:

Maximum Radius = (Width in millimeters * Aspect Ratio / 100) + (Wheel Diameter in inches * 25.4 / 2)

For the given tire size, the maximum radius is:

Maximum Radius = (295 * 75 / 100) + (22.5 * 25.4 / 2) ≈ 388.98 mm

Similarly, we can find the minimum radius by considering the minimum aspect ratio value (in this case, 75) and calculate:

Minimum Radius = (295 * 75 / 100) + (22.5 * 25.4 / 2) ≈ 368.98 mm

The difference in radius between the maximum and minimum values is:

Difference in Radius = Maximum Radius - Minimum Radius ≈ 388.98 mm - 368.98 mm ≈ 20 mm

Converting this to inches, we have:

Difference in Radius ≈ 20 mm * 0.03937 ≈ 0.7874 inches

Therefore, the maximum difference in radius for 295/75R22.5 trailer tires is approximately 0.7874 inches, which can be rounded to 0.625 inches.

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Answer:

4.1 sec

Step-by-step explanation:

-9.8t^2 +38.2t + 6.5 = 0

t = \(\frac{-38.2 +-\sqrt{38.2^2{ - 4(-9.8)(6.5)} } }{2(9.8}\)

 =  \(\frac{-38.2 +- \sqrt{1459.24 + 254.8} }{-19.6}\)

 = \(\frac{-38.2 +- \sqrt{1714.04} }{-19.6}\)

 = \(\frac{-38.2 +- 41.4}{-19.6}\)

 = \(\frac{-79.6}{-19.6}\)

 = 4.1

The rocket will hit the ground at 0.2 seconds

The function is given as:

\(h=-9.8t^2+38.2t+6.5\)

When the missile hits the ground, the value of height is 0

This means that:

\(h = 0\)

So, we have:

\(-9.8t^2+38.2t+6.5 = 0\)

Next, we plot the graph of \(-9.8t^2+38.2t+6.5 = 0\)

See attachment for the graph of \(-9.8t^2+38.2t+6.5 = 0\)

From the attached graph, we have:

\(t = (0.163, -4.061)\)

Approximate

\(t = (0.2, -4.1)\)

Time cannot be negative.

So, we have:

\(t = 0.2\)

Hence, the rocket will hit the ground at 0.2 seconds

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Step-by-step explanation:

slop -3

(x ,y) point that throgh the x,y axis

(0,2), (1,-1), (2, -4),( -1, 5), ( -2, 8) etc you can make the graph by connect the co ordinat point

Answer:

3

Step-by-step explanation:

3+11(9)-9(11)=3+99-99=3+0=3

This is ez lol