If you invest $1,000 at the age of 15 and it earns 9% annually, what will the
original investment be worth at the age of 62? *

Answer:

x = 6

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh where b is the base and h is the height

24 = 1/2 (8)x

24 = 4x

Divide each side by 4

24/4 = 4x/4

6 =x

Answer:

1/2

Step-by-step explanation:

Total of B is: 4/2

Total of everything is: 8/4 + 4/2 = 8/4 + 8/4 = 16/4

Decimal number of B is: 2

Decimal number of everything is: 4

Answer: 2/4 or 1/2

Answer:

The diameter of the floor is 6 yards

Step-by-step explanation:

Here, we are to calculate the diameter of a circular floor that has a circumference of 18.84 yards

Mathematically,

C = π * D

where C is the circumference

Plugging the values of the circumference , we have ;

18.84 = 22/7 * D

7 * 18.84 = 22D

D = (7* 18.84)/22 = 5.99 which is approximately 6 yards

Answer:

On the first hour she gathered 8 mushroons, on the second 15 mushroons and on the third she gathered 14 mushroons.

Step-by-step explanation:

Helen gathred a total of 37 mushroons in three hours. On the first hour she gathered "x" mushroons, on the second hour she gathered "x + 7" mushroons and on the third hour she gathered "x + 6". Therefore the sum of mushrrons she gathered on each hour should be equal to the total she gathered as shown below:

37 = x + (x+ 7) + (x + 6)

37 = 3*x + 13

3*x + 13 = 37

3*x = 37 - 13

3*x = 24

x = 24 / 3

x = 8

On the first hour she gathered 8 mushroons, on the second 15 mushroons and on the third she gathered 14 mushroons.

Answer:

Helen gathered

8 mushrooms in the first hour,

15 mushrooms in the second hour and

14  mushrooms in the third hour.

Step-by-step explanation:

Answer:

Axis of symmetry: x = 1

Vertex = [tex](1,-4)[/tex]

Step-by-step explanation:

Given: graph indicating quadratic function

To find: Vertex (ordered pair), axis of symmetry

Solution:

A vertical line that divides the parabola into two congruent halves is known as  the axis of symmetry.

The point where the parabola crosses its axis of symmetry is known as the vertex of a parabola.

From the graph,

axis of symmetry: x = 1

Vertex = [tex](1,-4)[/tex]

Answer:

if your factoring the answer should be (5x-2) (x+2)

Answer:

(5x−2)(x+2)

Step-by-step explanation:

Answer:

£55.25

Step-by-step explanation:

Cost after reduction

=Cost before sale - Reduction in cost

= 85 - 35% of 85

= 85 - 0.35*85

= 85 - 29.75

= £55.25

Answer:

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

£116.67

Step-by-step explanation:

Given;

Nar donated to 4 charities last year. She gave £175 to each of these charities.

The total amount Nar donated is;

Nar = 4 × £175 = £700

For Rana to donate the same amount equally among 6 charity, to determine the amount each charity would receive this year, we need to divide the total amount by the number of charities;

A = £700/6

A = £116.67

Answer:

Check my explanation

Step-by-step explanation:

1. x=-7y

2(-7y)-8y=22

-14y-8y=22

-22y=22

y=-1;x=7, I used subtitution because that process was easier.

2. x=3+y

7(3+y)-y=-3

21+7y-y=-3

21+6y=-3

6y=-24

y=-4; x=-1, I used subtitution because that process was easier.

3. x=1 and y=1, I used elimination because that process was easier.

4. x-3=4x-9

-3x=-6

x=3; y=0, I used subsitution because that process was easier.

Answer:

Option A)   Inside the circle

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The radius is equal to the distance from the center to any point on the circle

the formula to calculate the distance between two points is equal to

[tex]d\sqrt{(y2-y1)^2+(x2-x1)^2 }[/tex]

we have

A(-5,-8),M(-1,-3)

substitute the values

[tex]r=\sqrt{(-3+8)^{2}+(-1+5)^{2}}[/tex]

[tex]r=\sqrt{(5)^{2}+(4)^{2}}[/tex]

[tex]r=\sqrt{41}\ units[/tex]

step 2

Find the distance from the center to point V

we know that

If the distance from the center to point V is equal to the radius, then the point V lie on the circle

If the distance from the center to point V is less than the radius, then the point V lie inside the circle

If the distance from the center to point V is greater than the radius, then the point V lie outside the circle

we have

A(-5,-8),V(-11,-6)

substitute in the formula

[tex]d=\sqrt{(-6+8)^{2}+(-11+5)^{2}}[/tex]

[tex]d=\sqrt{(2)^{2}+(-6)^{2}}[/tex]

[tex]d=\sqrt{40}\ units[/tex]

so

[tex]\sqrt{40}\ units< \sqrt{41}\ units[/tex]

The distance from the center to point V is less than the radius

therefore

The point V lie inside the circle

Hope that helped :)

Answer:

5

Step-by-step explanation:

Answer:

Mean= 15.8, Median= 14.

Step-by-step explanation:

To find the mean, we need to find the average. We will simply need to add up all of the values and divide by how many there are.

Therefore:

[tex]\frac{14 + 19 + 20 + 12 + 14}{5}[/tex]= 15.8 = Mean.

To find the median, you can arrange the numbers in increasing order and find the middle value. You can do this like so:

12, 14, 14, 19, 20

The number in the middle of 14.

Answer:

The cost of the carpet at Magic Carpet is: 90 + 9*(area of carpet)

The cost of carpet at Carpeteria is: 50 + 13*(area of carpet)

The algebraic expression for which the cost is the same is: 90 + 9*(area of carpet) = 50 + 13*(area of carpet)

The area of carpet for which the cost is the same is: 10 square yard

Step-by-step explanation:

6a) The cost for magic carpet:

This company charges a fixed fee and a price for each square yard of carpeting, therfore the expression for the cost is:

cost = 90 + 9*a

Where a is the area of carpet to be installed.

6)b) The cost for Capeteria:

This company also charges a fixed fee and a price for each square yard of carpeting, so the expression is:

cost = 50 + 13*a.

6) c) The algebraic expression for the cost to be the same in both stores:

90 + 9*a = 50 + 13*a

6) d) We need to solve the expression above for a:

50 + 13*a = 90 + 9*a

13*a - 9*a = 90 - 50

4*a = 40

a = 40/4 = 10

Answer:

4 cm

Step-by-step explanation:

[tex]36\pi=\pi \cdot 3^2 \cdot h\\h=4[/tex] centimeters

Hope this helps!

Answer:

[tex]-\dfrac{1}{4}[/tex]

Step-by-step explanation:

Given two points (-9,-6) and (3,-9). The slope of the line through the points is determined by the formula:

[tex]Slope, m=\dfrac{y_2-y_1}{x_2-x_1} ,$ where (x_1,y_1)=(-9,-6), (x_2,y_2)=(3,-9)\\$Therefore:\\ m=\dfrac{-9-(-6)}{3-(-9)}\\=\dfrac{-9+6}{3+9}\\=\dfrac{-3}{12}\\\\m=-\dfrac{1}{4}\\[/tex]

The slope of the line through the points (-9,-6) and (3,-9) is [tex]-\dfrac{1}{4}[/tex]

Answer:

the slope of the line through the points (-9,-6) and (3,-9) is [tex]-\dfrac{1}{4}[/tex]

Step-by-step explanation:

Given that,

Points (x₁ , y₁) is (-9,-6) respectively and

( x₂ , y₂) is (3,-9) respectively.

The slope of the line through the points is determined by the formula:

[tex]Slope, m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

where x₁ = -9

y₁ = -6

x₂ = 3

y₂ = -9

Therefore:

[tex]\\ m=\dfrac{-9-(-6)}{3-(-9)}\\=\dfrac{-9+6}{3+9}\\=\dfrac{-3}{12}\\\\m=-\dfrac{1}{4}\\[/tex]

Therefore, the slope of the line through the points (-9,-6) and (3,-9) is [tex]-\dfrac{1}{4}[/tex]

Answer:

- In a 3-D setting, straight line aa can be perpendicular or parallel to straight line cc.

- In a 2-D setting, straight line aa can only be parallel to straight line cc.

- W ustawieniu trójwymiarowym linia prosta aa może być prostopadła lub równoległa do linii prostej cc.

- W ustawieniu 2-D linia prosta aa może być równoległa do linii prostej cc.

Step-by-step explanation:

English Translation

Straight line aa and straight line bb are perpendicular to each other, as well as straight line bb and straight line cc are perpendicular to each other. Choose the correct completion of the sentence. Line aa is perpendicular / parallel to line cc.

Solution

If the frame of reference for the lines is in 3-D, then, it is the straight line aa can also be perpendicular to the straight line cc in the same vein as the x, y and z component lines are usually all perpendicular to one another. Note that straight line aa could also be parallel to straight line cc in a 3-D frame of reference.

But in a 2-D frame of reference, straight line aa can only be parallel to straight line cc. This is because the only directions that straight line bb can be perpendicular to, in a 2-D setting, are all in the same parallel direction.

In Polish/Po polsku

Jeśli układ odniesienia dla linii jest w 3-D, to jest to linia prosta aa może być również prostopadła do linii prostej cc w tej samej żyle, ponieważ linie składowe x, y i z są zwykle wszystkie prostopadłe do jednego inne. Należy zauważyć, że linia prosta aa może być również równoległa do linii prostej cc w trójwymiarowym układzie odniesienia.

Ale w dwuwymiarowym układzie odniesienia linia prosta aa może być tylko równoległa do linii prostej cc. Jest tak, ponieważ jedyne kierunki, w których prosta bb może być prostopadła, w ustawieniu 2-D, wszystkie są w tym samym kierunku równoległym.

Hope this Helps!!!

Mam nadzieję że to pomoże!!!

Answer:

See Explanation

Step-by-step explanation:

Let us briefly explain the terms

Let us take our expression with two terms to be: 3x+5

Coefficient =3

Variable =x

Constant =5

The word phrase of the expression is:

5 added to the product of 3 and a number.

Answer:

-3a-21

Step-by-step explanation:

Answer:

27a-21

Step-by-step explanation:

12a-3(7+5a)

distribute the 3

3x7=21

3x5a=15a

12a-21+15a

12a+15a=27a

27a-21

Complete Question

The diagram for this question is shown on the first uploaded image

Answer:

The length of a training track running around the field is  [tex]Z = 377.54 \ m[/tex]

Step-by-step explanation:

From the question we are told that

      The length of the field is  [tex]L= 93 \ m[/tex]

       The width of the field is  [tex]W = 61 \ m[/tex]

The length of the two semicircle is mathematically evaluated as

          [tex]A = 2 * \pi * \frac{W}{2}[/tex]

substituting values

          [tex]A = 2 *3.142 * \frac{61}{2}[/tex]

         [tex]A = 191.54 \ m[/tex]

Now the length of a training track running around the field is

       [tex]Z = A + 2 L[/tex]

  substituting values

       [tex]Z = 191.54 + 2 (93)[/tex]

       [tex]Z = 377.54 \ m[/tex]

Answer:

The answer is 1/3

Step-by-step explanation: 4/12 simplified is 1/3 since you can divide both top and bottom by 4

The probability that the marble chosen at random from the bag is red is  1/3.

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that the marble is red = total number of red marbles / total number of marbles

4 / 12 = 1/3

To learn more about probability, please check: https://brainly.com/question/13234031

#SPJ2

Answer:

12 hours

Step-by-step explanation:

First to solve this problem, let's look at what we are dealing with here. It says that Ali made $126 for 9 hours of work.

Let's set that up into a fraction so it's easier to look at.

money/time = 126/9

Now that we have that set up let's look at our other piece of information.

It asks for how many hours would Ali have to work in order to make $168 so let's figure that out.

In order to find out the number of hours, let's first find our unit rate which can be simply found by dividing our given money/time.

126/9 = 14.

This means that for every 1 hour, there will be 14 dollars earned.

Now that we know that, let's look for how many hours it take to earn $168.

In order to do that simply see how many times 14 goes into 168 (division) and that way you can see how many hours it will take to earn $168.

168/14 = 12 hours.

Multiply the probability of getting a correct answer (0.25) with the number of questions (68) to get 0.25*68 = 17

The student should expect to get about 17 questions correct.

Answer:-4c^2+4c+6

Step-by-step explanation:

Hope that’s what ur looking for:)

Answer:

2 + 7c – 4c2 – 3c + 4

4c∧2 + 4c + 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is a combination of 6 out of 15

Correct choice is C

Answer:

C right?

Step-by-step explanation:

Answer:

i hope its understood....

Answer:

Against the way of life.

Step-by-step explanation:

The prefix anti means against so you would just combine it with biotic which means way of life in order to get against the way of life.

Answer:

t = 7.54 seconds

Step-by-step explanation:

The distance h(t) in feet traveled by a freely falling object is given by the function :

[tex]h(t)=16t^2[/tex]

The height of a tower is 912 feet.

It is required to find the time it will taken to fall on ground from the top of the building. It can be calculated as :

[tex]16t^2=912\\\\t=\sqrt{\dfrac{912}{16}}\\\\t=7.54\ s[/tex]

So it will taken 7.54 seconds to fall on the ground.

Answer:

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Answer:

The first graph

Step-by-step explanation:

-2a - 5 > 3

-2a > 8

a < -4 (when divided by a negative number, the inequality sign will be flipped)

Therefor the first graph shows the solutions