How much money will you have after 10 years if you invest $2,500 into an account that pays 12% per year, compounded annually? (Remember, the formula is A = P(1 + r)t.)

A. $7,764.62
B. $8,784.14
C. $7,674.68
D. $7,846.07

Answer:

Macy did not find the correct equivalent fraction with denominator 30.

Step-by-step explanation:

We need to compare two ratios 4:5 and 19:30.

First we will write them in the form of fraction:

[tex]\displaystyle\frac{4}{5} \text{ and } \displaystyle\frac{19}{30}[/tex]

Now, in order to compare these ratios, we fave to make their denominators equal that is find equivalent fraction with denominator 30.

[tex]\displaystyle\frac{4\times 6}{5\times 6} \text{ and } \displaystyle\frac{19}{30}[/tex]

[tex]\displaystyle\frac{24}{30} \text{ and } \displaystyle\frac{19}{30}[/tex]

Now, we have to compare the two fractions on the basis of their numerators.

It is clear that:

[tex]\displaystyle\frac{24}{30} > \displaystyle\frac{19}{30}[/tex]

Answer:

X-int: (2,0) , (-5,0)

Y-int: (0,-10)

Step-by-step explanation:

To solve for the x-int, set y to 0.

0= x^2 + 3x - 10

0= (x-2)(x+5)

x= 2, and -5

To solve for the y-int, set x to 0.

y= (0)^2 + 3(0) - 10

y= -10

Answer:

x = 12, y = 0

Step-by-step explanation:

Use elimination.

24y = 0

y = 0

Then plug back into the second equation.

2x + 9(0) = 24

2x = 24

x = 12

Plug back into the first equation to check.

Answer: x = -2

Step-by-step explanation:

The original problem is 3(14-5x) = 72. First, multiply 3 by the contents of the parentheses:

42 - 15 x = 72

Next, subtract 42 from each side:

-15x = 30

Now divide both sides by -15:

X = -2

Answer: -2

Step-by-step explanation:

First you begin by taking 3 and multiplying is by 14 and -5x:

(3 X 14) - (3 X -5x) = 72

42 - 15x = 72

Next, you subtract 42 from each side to isolate the variable.

-15x = 30

Next you divide each side by -15 to get the value of x.

X = -2

I hope this helps!

Answer:

-2 is the slope

Step-by-step explanation:

To find the slope of the line, we need to solve for y

6x +3y = 12

Subtract 6x from each side

6x-6x +3y = -6x+12

3y = -6x+12

Divide each side by 3

3y/3 = -6x/3 +12/3

y = -2x+4

This is in slope intercept form

y = mx+b   where m is the slope and b is the y intercept

-2 is the slope and 4 is the y intercept

Answer: [tex]x=-5[/tex]

Step-by-step explanation:

To solve this exercise you need to remember the following:

[tex]e^{lnx}=e^{lny}[/tex] → [tex]x=y[/tex]

Therefore, keeping the above on mind, you can solve for x as following:

[tex]e^0=e^{ln(x+6)}[/tex]

[tex]e^0=x+6[/tex]

Remember that, by definition: [tex]a^0=1[/tex], then you have:

[tex]1=x+6[/tex]

Subtract 6 from both sides of the equation.

Then the value of x is:

[tex]1-6=x+6-6\\x=-5[/tex]

Answer:

Step-by-step explanation

the answer is 10

The diameter of a circle is 4.005 inches

What is diameter of a circle?

"The diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circumference of the circle."

What is circle?

"A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape."

We have,

Area of Circle is 12.6 square inches

Formula to find the diameter of a circle

D = [tex]2[/tex]×[tex]\sqrt{\frac{Area of Circle}{\pi } }[/tex]

D = [tex]2[/tex]×[tex]\sqrt{\frac{12.6}{\pi } }[/tex]

D = [tex]2[/tex]×[tex]\sqrt{4.0107}[/tex]

D = [tex]2[/tex]×[tex]2.002[/tex]

D = [tex]4.005[/tex] inches

Hence, the diameter of a circle is 4.005 inches

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Point B in the graph represents the relationship to Sidhaanth's savings.

A point on the graph can be read as a point (x, y) where y is the perpendicular distance of the point from the x-axis and x is the perpendicular distance of the point from the y-axis.

We are asked to tell the point that represents Sidhaanth's savings among the points A and B.

We analyze each point like this:

Point A:

The perpendicular distance from the y-axis (x) = 1 unit.

The perpendicular distance from the x-axis (y) = 28 units.

∴ The point is (1, 28) which says that Sidhaanth's weekly savings are $28.00. This is not true, as his weekly saving, as seen from the table is $7.00.

So, point A doesn't represent the relationship to Sidhaanth's savings.

Point B:

The perpendicular distance from the y-axis (x) = 2 units.

The perpendicular distance from the x-axis (y) = 14 units.

∴ The point is (2, 14) which says that Sidhaanth saves $14.00 every 2 weeks. This is true, as we can see from the table that his savings in the 2nd week are $14.00.

So, point B represents the relationship to Sidhaanth's savings.

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Answer:B

Step-by-step explanation:

Because the graph shows times 7 point be shows 2(weeks) and 14(dollars) and also that’s what the table shows

Answer:

approx 4130

Step-by-step explanation:

x * .92 = 3800

3800/.92 = 4130.43478261

4130 approx. attendance before drop

Answer: 4,130

Step-by-step explanation:

Hi, to answer this we have to multiply the attendance before the drop (x) by the percentage that assisted after the drop ( 1-0.08) . That expression must be equal to the attendance after the drop (3800)

Mathematically speaking:

8% = 8/100 = 0.08 (decimal form)

x (1-0.08)= 3800

x (0.92) =3800

Solving for x

x = 3800/0.92

x= 4,130

Answer:

x = -1, 0 , 2

Step-by-step explanation:

The zeros of the function are the solutions to its factors. When you set each factor equal to 0 using the zero product property, the solutions for x are the zeros. The function has factors x, x-2, and x+1. Set each equal to 0 and solve for x.

x = 0

x - 2 = 0 has solution x = 2

x + 1 = 0 has solution x = -1

Answer:

The scale factor is 1/3

Answer:

B office space.

Step-by-step explanation:

What it says is Paul pays property tax. Property will be a building of some sort so office space is your answer.

Answer:

Answer you chosen in the option is correct!

Step-by-step explanation:

Here we can see that Remmi got x =3y -2

if we need to match it from given options we can take 3 as common factor from the right side ,Since we dont have 3 common in second term but using common number of property of numbers we can pull 3 from both terms because of which 3 is now in denominator of second term which is 2/3

therefore equation becomes  as third option so answer chosen by you is correct

Answer:

C.

Step-by-step explanation:

Answer:

32÷8

Step-by-step explanation:

Division is like repeated subtraction

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The problem that would repeatedly take away 8 from 32 is 32÷8

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The same is true for 25÷5, it is asking how many times can 5 be taken away from 25, hence repeated subtraction

Answer:

y

Step-by-step explanation:

please give branleist

Graph-Y is decreasing from the beginning for all the values of 'x'.

The graph of an equation represents the nature of that equation by plotting the points.

Four graphs W, X, Y, and Z are given.

1. Graph-W is constant up to a certain values of 'x'. After that it is increasing for the rest of the values of 'x'.

2. Graph-X is increasing from the beginning. After that it is constant for certain values of 'x'. Then the graph is increasing.

3. Graph-Y is decreasing from the beginning for all the values of 'x'.

4. Graph-Z is increasing from the beginning. After that it is decreasing.

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Answer:

The area of shaded region is 226.4 meter squared.

Step-by-step explanation:

Radius of the circle = r =18.6 m

Angle subtended by chord[tex]\theta = 123^o[/tex]

Area of  sector = [tex]\frac{\theta }{360^o}\pi r^2[/tex]

In ΔOAB

∠A+∠B+∠O= 180°

2∠A+123°= 180°(∠A=∠B, isosceles triangle)

∠A=∠B=28.5°

AC=BC (Radius of the circle  bisects the chord at right angle.)...(1)

In ΔOAC

[tex]\sin 123^0=\frac{OC}{OA}[/tex]

OC = 8.87 m

[tex]\cos 123^0=\frac{AC}{OA}[/tex]

AC = 16.34 m

AB = AC+AB=16.34 m+16.34 m=32.68 m (from (1))

Area of the ΔOAB = [tex]\frac{1}{2}\times OC\times AB[/tex]

=[tex]\frac{1}{2}\times 8.87 m\times 32.68 m=144.93 m^2[/tex]

Area of segment = Area of sector - Area of triangle:

[tex]371.34 m^2-144.93 m^2=226.41 m^2\approx 226.4 m^2[/tex]

The area of shaded region is 226.4 meter squared.

Answer:

P = 2X + 3Y

Step-by-step explanation:

Perimeter of a triangle is the sum of its three sides, so:

P is the side to find

4x + 3y = (X-Y) + (X+Y) + P

We can to eliminate  -y and y, so:

4x +3y = 2X + P

Reducing terms:

4x - 2x + 3y = P

P = 2X + 3Y

Best regards

The missing side of the triangle can be found by subtracting the known sides from the total perimeter. So, in this case, the measure of the missing side is 2x+3y.

The subject of this question is Mathematics and it's applicable for a High School level. The question is asking to find the measure of the missing side of a triangle with a given perimeter and two sides. In this scenario, the perimeter of a triangle is given as 4x+3y, and two sides of the triangle are mentioned as x-y and x+y.

The perimeter of a triangle is the sum of the lengths of all its sides. If two sides are given as x-y and x+y, and the perimeter is 4x+3y, then the missing third side can be determined by subtracting the lengths of the known sides from the total perimeter, i.e., the missing side = perimeter - (sum of known sides) = 4x+3y - [(x-y) + (x+y)].

Simplifying this, we get: missing side = 4x+3y - 2x = 2x+3y. So, the missing side of the triangle has the measure of 2x+3y.

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0.1675 rounded to the nearest hundredth is 0.17.

When 0.1675 is rounded to nearest hundredth decimal place answer would definetely be

Answer:

  11/12

Step-by-step explanation:

2 3/4 = 2·(4/4) + 3/4 = (8/4) +(3/4) = (8+3)/4 = 11/4

Then your problem becomes ...

  (11/4) / 3 = (11/4) · (1/3) = (11·1)/(4·3) = 11/12

___

The numerator and denominator have no common factors, so this is lowest terms.

Final answer:

The quotient of 2 ³/₄ divided by 3 is 11/12, and it is already in the lowest terms.

Explanation:

To calculate the quotient of 2  ³/₄ divided by 3, we first convert the mixed number to an improper fraction. So, 2  ³/₄ is the same as 11/4 (because 2 x 4 + 3 = 11). Next, we divide this improper fraction by 3, which is the same as multiplying by the reciprocal of 3, which is 1/3.

11/4 × 1/3 = 11/12. This gives us the final quotient, which is already in lowest terms, as 11 and 12 have no common factors besides 1.

To solve the equation 4x - 11 = 3.2x + 13 and find the lesser solution, subtract 3.2x from both sides, simplify the equation, and solve for x. The lesser solution is x = 30.

To solve the equation 4x - 11 = 3.2x + 13 and find the lesser solution, we need to isolate the variable x. Here are the steps:

So, the lesser solution is x = 30.

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Answer:

I would say the answer is

1. reflection across m

2. rotation about a

3. congruent to

all transformations are congruent to each other unless it is a dilation.

Step-by-step explanation:

Answer:   The first transformation is a. a reflection across m.

The second transformation is b. a rotation about a.

∆ABC is c. congruent to​ ∆A'B"C".

Step-by-step explanation:

In the given picture, we can see that ΔABC is reflected across line m to create ΔA'B'C' such that all the corresponding points in both the triangles are equidistant from the line of reflection m.

∴ First transformation: Reflection across m.

After that, there is rotation of  ΔA'B'C' about point A' about some degrees such that, every corresponding points in both the triangles are equidistant from the point of rotation A'.

∴ Second transformation : Rotation about A'.

Since reflection and rotation are rigid transformations, therefore they produce only congruent figures.

Therefore, ∆ABC ≅ ∆A'B'C'

∆A'B'C' ≅  ∆A'B"C"

By law of transitivity of congruence,

∆ABC  ≅ ∆A'B"C"

Answer:

[tex]\large\boxed{\dfrac{16}{81}}[/tex]

Step-by-step explanation:

The formula of an area of a circle:

[tex]A=\pi r^2[/tex]

r - radius

Circle A:

radius = 4 ft. Substitute:

[tex]A_A=\pi(4^2)=16\pi\ ft^2[/tex]

Circle B:

radius = 9 ft. Substitute:

[tex]A_B=\pi(9^2)=81\pi\ ft^2[/tex]

The ratio:

[tex]\dfrac{A_A}{A_B}=\dfrac{16}{81}[/tex]

Numerical expressions contain numbers, while algebraic expressions contain variables and numbers.

Numerical Expression

"Difference" indicates that we'll be subtracting 13 from 48.

48 - 13 = 35

Algebraic Expression

Variables represent the unknown number, in this case the difference between 48 and 13. Let d represent the difference between the two.

48 - 13 = d

35 = d

Reflection? I'm not sure

It is reflection, I took a mini quiz on this

The answer to what is -4,5 reflected across the x axis is 4,5 bwcause its like a opposite

The coordinate obtained when -4,5 reflected across the x axis is (-4,-5).

The process of reflecting, dilating, rotating or translating is called Transformation.

The coordinate is (-4,5)

When a coordinate is reflected over x axis, the coordinate changes in following form:

(x,y) -------> (x,-y)

The new coordinate will be (-4,-5).

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Answer:

A

Step-by-step explanation:

Volume and capacity measure the same idea. They each describe how much something can hold. Volume measures it in cubic units while capacity measures it in ounces, liters, etc. It can be almost any measurement. They will not have the same measurement type or number since each measurement will give different numbers.

Answer:

Radius : 6

Step-by-step explanation:

Rewrite in standard form to find the radius.

Hope this helps,

Davinia.

Radius of a circle whose equation is    [tex]x^{2} +y^{2} =36[/tex] is 6

An equation is a mathematical statement which equate two algebraic expressions. An equation has an equal to (=) sign in between the expression.  

Comparing the given equation with the standard equation, we can say,

a² = 36

⇒ a = ± 6

Since a is the radius, the negative value gets rejected.

The radius of the given circle is 6.

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Answer:40

Step-by-step explanation:

Answer:

33.68

Step-by-step explanation:

The two y values coming from I are equal.

The two x values coming from K are equal.

That's because tangents to a circle from the same external point are equal.

5x + 1 = 6x - 3              Add  3 to both sides

5x + 1 + 3 = 6x -3+3     Combine

5x + 4 = 6x                   Subtract 5x from both sides.

5x-5x+4=6x- 5x            Combine

4 = x

===================

y + 10 = 4y + 2               Subtract y from both sides

y-y+10=4y-y+2               Combine

10 = 3y + 2                      Subtract 2 from both sides

10-2=3y+2-2                   combine

8 = 3y                              Divide by 3

8/3 = y

y = 2.67

====================

Now you just put x and y into the parts that make up IK.

IK should come out to 33.68

Answer:

Hey its (-3,2

Step-by-step explanation:

Answer:

i think -3-2 i hope that helps

Step-by-step explanation:

it;'s -3-2 because its in the same quadrant as the auditorium so it is both nehgative numbers