What is the future value of $500 in 24 years assuming an interest rate of 6 percent compounded semiannually? Multiple Choice $1,962.82 $2.066.13 $1,962.82 $2,066.13 $606.52 $561.92 $2.024.47

Answer:

Stay the same

Step-by-step explanation:

1 * x = x it will stay the same

Answer:

47 students in each bus

Step-by-step explanation:

243-8= 235

235/5=47

Answer:

1

Step-by-step explanation:

The equation is y = mx + b. so in this case 1 is b

Have a nice day! :-)

Answer:

Notice that 99 players need to be eliminated for there to be declared a winner. Notice also that every match eliminates exactly one person. Therefore, 99 matches are needed to eliminate 99 people and therefore declare a winner. The rest of the information is irrelevant. Therefore, the total number of matches is text divisible by 11.

Answer:

X=10

sin45=10/y

0.707106781186×y=10

y=14.14213562373

2)the left angle=180-(90+60)

=180-150

=30

sin30=X/32

0.5×32=X

X=16

sin60=y/32

0.866025403784×32=y

y=27.71281292110

(round those numbers)

From the unit conversion is found that: 6 cm=0.06 m = \(\frac{6}{100}\) m and                4 mm=0.004 m = \(\frac{4}{1000}\) m.

The unit of a length is the essential information and there are different units for the length. In the International System Units (SI), the standard unit for length is the meter (m).  Nonetheless, there are others units, for example: inches (in) and  yard (yd).

For solving this exercise, you need to know the relation between the units of the length in the  SI unit.

1 kilometer (km) = 1000 meters (m)

1 hectometer (hm) = 100 meters (m)

1 dekameter (dam) = 10  meters (m)

1 meter (m)

1 decimeter (dm) = 0.1 meters (m)

1 centimeter (cm) = 0.01 meters (m)

1 milimeter (mm) = 0.001 meters (m)

Now you can solve the question

        1 cm ------- 0.01 m

        6 cm ------ x

        x=6*0.01 =0.06 m = \(\frac{6}{100}\) m

        1 mm ------- 0.001 m

        4 mm ------ x

        x=4*0.001 =0.004 m = \(\frac{4}{1000}\) m

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The correct equivalent form of 8⁵/8² is Adam made an error in step 2. The denominator should be 1, not 8¹. Option B is correct.

In step 2, Adam used the property of exponents that states: \(a^{(m-n)}\) = \(a^{m}\) / \(a^{n}\). However, he made a mistake by writing 8¹in the denominator instead of 1.

The correct expression after step 2 should be:

\(8^{5-2}\) /1 = 8³

Then, in step 3, Adam used the property of exponents that states: \(a^{m}\) / a =   \(a^{m-1}\). This step is correct, and the expression becomes:

\(8^{3/8}\)

Finally, in step 4, Adam simplified the expression by dividing 8³ by 8². This step is also correct, and the expression simplifies to:

8¹ = 8

Therefore, the correct equivalent form of 8⁵/8² is 8.

Hence, B. Adam made an error in step 2. The denominator should be 1, not 8¹ is the correct option.

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--The given question is incomplete, the complete question is

"Adam is rewriting the expression 8^5/8^2 in equivalent form. His steps are shown: step 1: 8^5/8^2, step 2:  8^(5-2)/8^1, step 3: 8^3/8, step 4: /8^2. which statement describes the step and the error Adam made in that step? A) Adam made an error in step 2. The exponent in the numerator should be 5+2 B) Adam made an error in step 2. The denominator should be 1, not 8^1 C)  Adam made an error in step 3. The value of 8^1 is 1, not 8."--

the measure of angle B (angle ABC) is 46 degrees.

To find the measure of angle B (angle ABC), we can use the property that the angles in a triangle sum up to 180 degrees.

In triangle ABC, we know that angle A (angle BAC) is 46 degrees.

Since angle A and angle B are opposite to sides of equal length (150 meters), angle B will also be 46 degrees.

what is angle?

In mathematics, an angle is a geometric figure formed by two rays (or lines) that share a common endpoint, called the vertex of the angle. The two rays are referred to as the sides of the angle. Angles are typically measured in degrees or radians and are used to describe the amount of rotation or inclination between two lines or objects. They play a fundamental role in geometry and trigonometry, and are used in various mathematical applications and calculations.

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Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3x−2−7x=10x+4

3x+−2+−7x=10x+4

(3x+−7x)+(−2)=10x+4(Combine Like Terms)

−4x+−2=10x+4

−4x−2=10x+4

Step 2: Subtract 10x from both sides.

−4x−2−10x=10x+4−10x

−14x−2=4

Step 3: Add 2 to both sides.

−14x−2+2=4+2

−14x=6

Step 4: Divide both sides by -14.

−14x−14=6−14

x=−3/7

Answer:

x=−3/7

The  value of x is -3/7.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

3x-2-7x = 10x + 4

Now, solving for x

3x-2-7x = 10x + 4

-4x - 2= 10x + 4

-4x - 10x = 4 + 2

-14x = 6

x= -6/14

c= -3/7

Hence, the value of x is -3/7.

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The value of A and B is A - √B = 2 - √3.

What is the simplification?

Simplifying simply is to make anything easier to understand. Simply or simplification in mathematics refers to reducing an expression/fraction/problem to a simpler version. It simplifies the problem by calculating and solving it.

Here, we have

Given: sin(π/12) = \(\frac{1}{2} \sqrt{A-\sqrt{B} }\)

We have to find the value of A and B.

Now, we multiply both sides by 2 and we get

2×sin(π/12) = 2× \(\frac{1}{2} \sqrt{A-\sqrt{B} }\)

2sin(π/12) =  \(\sqrt{A-\sqrt{B} }\)

Now, Simplify and we get

\(\sqrt{A-\sqrt{B} }\)  = \(\frac{{\sqrt{6} - \sqrt{2} } }{2}\)

To remove the radical on the left side of the equation, square both sides of the equation.

\((\sqrt{A-\sqrt{B}})^2\)   =   \((\frac{{\sqrt{6} - \sqrt{2} } }{2})^2\)

Simplify each side of the equation.

A - √B = 2 - √3

Hence, the value of A and B is A - √B = 2 - √3.

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From the given triangle, the length of the side labeled "x" is 42.7.

Correct option: C

Triangular polygons in geometry are those with three sides and three vertices. There are three straight sides to this two-dimensional shape. Three-sided polygons include triangles. A triangle's three angles add up to a whole 180 degrees.

First, calculate the height (h) of the triangle, as below:

tan(α) = Opposite/Adjacent

Given,

α = 48º

Opposite=23

Adjacent=h

When you substitute these values into

tan(α) = Opposite/Adjacent,

tan(α) = Opposite/Adjacent

tan (48º)= 23/h

Now, you must clear "h":

h × tan(48º) = 23

h = 23 / tan(48º)

h = 20.71

Next, the value of "x" is:

Cos(β) = Adjacent/Hypotenuse

β = 61º

Adjacent = h = 20.71

Hypotenuse=x

When you substitute these values into

Cos(β) = Adjacent/Hypotenuse

Cos(61º)=20.71/x

Now, must clear "x", as below:

x (Cos(61º)) = 20.71

x = 20.71 /Cos(61º)

x = 42.72

So, option C is the correct answer.

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The answer to this question would be (B)

Answer: csc^2x+sec^2x=1

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

The mean of a data set refers to the average. To find the average, calculate the sum of the data and divide by the number of values.

\(\frac{20+50+80+50}{4}=\frac{200}{4}=50\)

Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

i really don't have a method for this, just try a number you think is close, go up, or down depending on the number

Given the equation

Make x the subject and simplify

Hence, the value of x = -4/3 = -1 1/3

Independent variable t is time given to read story, dependent variable y is test scores, relationship modeled as y = f(t).

What is variable ?

variable, In algebra, a symbol (usually a letter) standing in for an unknown numerical value in an equation. Commonly used variables include x and y (real-number unknowns), z (complex-number unknowns), t (time), r (radius), and s (arc length).

Let's denote the amount of time given to read the story as t. The independent variable t has three levels: t = 10 minutes, t = 15 minutes, and t = 20 minutes.

The dependent variable y is the test scores on the content of the story. The purpose of the study is to determine the relationship between the independent variable t and the dependent variable y.

The problem can be mathematically represented as:

y = f(t)

where f is a function that represents the relationship between the independent variable t and the dependent variable y.

Independent variable t is time given to read story, dependent variable y is test scores, relationship modeled as y = f(t).

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Independent variable t is time given to read story, dependent variable y is test scores, relationship modeled as y = f(t).

variable, In algebra, a symbol (usually a letter) standing in for an unknown numerical value in an equation. Commonly used variables include x and y (real-number unknowns), z (complex-number unknowns), t (time), r (radius), and s (arc length).

Let's denote the amount of time given to read the story as t. The independent variable t has three levels: t = 10 minutes, t = 15 minutes, and t = 20 minutes.

The dependent variable y is the test scores on the content of the story. The purpose of the study is to determine the relationship between the independent variable t and the dependent variable y.

The problem can be mathematically represented as:

y = f(t)

where f is a function that represents the relationship between the independent variable t and the dependent variable y.

Independent variable t is time given to read story, dependent variable y is test scores, relationship modeled as y = f(t).

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Answer:

2 is the correct answer

Step-by-step explanation:

write the question properly

Answer: $225

Step-by-step explanation:

Let the value of the bond at the purchase price be x.

Based on the information in the question, the equation to solve the question will be:

x + (8% × x) = $243

x + (8/100 × x) = $243

x + 0.08x = $243

1.08x = $243

x = $243/1.08

x = $225

Taylor's mom purchased the bond at $225

Answer: 360

253

Step-by-step explanation:

Answer:

-20 is your answer

Step-by-step explanation:

Answer: $10 per boxed lunch

Step-by-step explanation: Take the total cost of the boxed lunches, $150, and divide it by the number of boxed lunches, 15, to get the answer, $10 per boxed lunch.

To solve the equation 15 + 2x = 36, we can start by subtracting 15 from both sides of the equation to get 2x = 21. Then, we can divide both sides by 2 to get x = 10.5. Rounded to the nearest ten-thousandth, the solution is x = 10.5000.

Answer: x=15

Step-by-step explanation:

subtract 8 from 18 = 10 then divide the 10 by 2/3

Answer:

B Wendy leaves school to go home. She walks 60 yards north and then 80 yards west. She is 10 yards from the school.

Step-by-step explanation:

I got it right on edge I hope this helps you :)

Answer:

D. reflection then rotation

Step-by-step explanation:

ABC then A'B'C' then A''B''C''

Following this order, you can see that ABC is reflected across the x-axis to create A'B'C'.

A'B'C' is then rotated anticlockwise to create A''B''C''. How do we know this? The vertexes are pointing in different directions. If it was translated then B' would have been facing downwards instead of facing to the right

If the plant is n inches then,

the actual plant = 2n feet.

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).

Given:

The garden club at central middle school is planting a flower bed.

A scale drawing of the flower is shown.

The scale 1 in:2 ft

The scale factor,

the model = 1 inch

Then the actual plant = 2 feet.

If the plant is n inches then,

the actual plant = 2n feet.

Therefore, If the plant is n inches then, the actual plant = 2n feet.

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Answer:

Perimeter = 24 cm

Area = 27.6 cm²

Step-by-step explanation:

Perimeter = 8 + 8 + 8 = 24 cm

A(Triangle) = 1/2(8)(6.9) = 27.6 cm²