Dale has $1,000 to invest. He has a goal to have $2,400 in this investment in 12 years. At what annual rate compounded continuously will Dale reach his goal?​

Triangles ABC and DEC are similar.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

Here, we have,

Given the triangles ABC and DEC

For the triangle ABC:

m∠A = 36, m∠B = 21

So, the m∠C = 180 - (m∠A + m∠B ) = 180 - (36 + 21) = 123

Similarly, the angles of DEC are,

m∠D=36 , m∠C=123 & we get,  m∠E =21

So, comparing the measurements of the angles of both triangles:

m∠A=m∠D.

m∠C=m∠C

m∠B=m∠E

So, the triangles are similar using the AAA postulate.

Hence, triangles ABC and DEC are similar.

To learn more on triangle click:

https://brainly.com/question/29126067

#SPJ1

3 x 3 x 3 x 3 x 3 x 3 x 2 x 3 x 3 x 434 = 5,694,948

The opposite of the opposite of -2 is equal to: -2

This can be solved by using the concept of inverse.

This quantity is also referred to as the opposite (number), sign modification, and negation. It changes the sign of a real number so that the additive inverse of a positive number is negative and the additive inverse of a negative number is positive. Due to their ability to reverse mathematical processes, inverse techniques are crucial for solving equations. One of the most crucial issues to ask whenever a new mathematical method is presented is how to invert it.

The term inverse in mathematics refers to the inverse of another operation.

In this case firstly opposite of - 2 is 2 and next opposite of 2 is again -2.

To know more about inverse refer to:

https://brainly.com/question/29536252

#SPJ1

Answer:

The perpendicular line is vertical and the slope is undefined.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

The constant of proportionality in a proportional relationship is the number that relates the two variables, x and y, in the equation y = kx.We can see that the relationship between x and y is in the form of y = kx. We can find the constant of proportionality (k) by dividing the y-value by the corresponding x-value.For example:

x = 2; y = 5/6

k = y/x = (5/6) / 2 = 5/12The constant of proportionality is 5/12 for the given proportional relationship,

y = kx where k = 5/12Note that it is important to understand that the relationship is a proportion because in this case, the k(constant) is the same for every point, if we calculate each (y/x) point it will be 5/12

Start at -2 on the y-axis, count up until it is on a corner of the graph, then move 4 up on the y-axis and once to the right, making the fraction 4/1.

Four various modifications that can be made to a point, line, or geometric object are referred to as transformations collectively. You must be able to identify which changes have been made and that each alteration has been made. The following guidelines for function translation and transformation: The function is shifted up by b units by F (x) + b. F (x) b causes the function to move downward. The expression f (x + b) causes the function to be moved left b units. Translation, reflection, rotation, and dilation are the four different types of transformations. Transform, reflect, or rotate the geometric shapes that are displayed on a coordinate plane. The transformation, often known as f: X X, is the name given to a function, f, that maps to itself.

given

-1 on the left x-axis and 4 on the right y-axis

Start at -2 on the y-axis, move up the y-axis six times, and you should arrive at 4. However, you must identify the first line in order to complete the puzzle.

Start at -2 on the y-axis, count up until it is on a corner of the graph, then move 4 up on the y-axis and once to the right, making the fraction 4/1.

Since you should be at 4, apply the formula rise/run 4/1 to ascend 6 on the y-axis.

To know more about transformations visit :-

https://brainly.com/question/29641135

#SPJ1

Answer:  To calculate the area of each part of the circle, we need to first find the total area of the circle and then divide it by the number of parts.

The formula for the area of a circle is A = πr², where A is the area, r is the radius, and π is approximately equal to 3.14.

In this case, the radius of the circle is 8 cm, so the area of the circle is A = π * 8² = 3.14 * 64 = 200.96 cm².

Since the circle is divided into 6 parts of equal size, the area of each part is equal to the total area of the circle divided by the number of parts. Therefore, the area of each part is 200.96 cm² / 6 = 33.49 cm².

Rounded to 2 decimal places, the area of each part is 33.49 cm² ≈ 33.50 cm².

Step-by-step explanation:

Answer:

H

Step-by-step explanation:

A table showing y as a function of x is a table that has exactly one y-value that is assigned to every x-value in the table.

Thus, all tables except table H do not meet this criteria.

In table H, every x-value has exactly one y-value. No x-value is having different y-values assigned to it.

Therefore, the answer is H.

Answer:

[tex]7) \frac{x+20}{x}=\frac{46}{30}[/tex]

[tex]30(x+20)=46x[/tex]

[tex]30x+600=46x[/tex]

[tex]46x-30x=600[/tex]

[tex]16x=600[/tex]

[tex]x=75/2[/tex]

[tex]x=37.5[/tex]

---------------------

[tex]8) \frac{10}{3x+1} =\frac{22}{7x-1}[/tex]

[tex]10(7x-1)=22(3x+1)[/tex]

[tex]70x-10=66x+22[/tex]

[tex]70x-66x=22+10[/tex]

[tex]4x=32[/tex]

[tex]x=\frac{32}{4}[/tex]

[tex]x=8[/tex]

---------------------

hope it helps...

have a great day!!

Answer:

Step-by-step explanation:

y = -1x + 1

y = -x + 1

I'm sure  :P

Answer:

y=-1x+1

Step-by-step explanation:

the slope is 1/1 and line is declining hence the negative

The value of 113+256 is determined by the above fractional formulae. Is 369

An exact number that shows a percentage of a total is called a fraction. You may figure it out by dividing a sum by the quantity of parts. As an example, the number 12 represents one-half of a whole number or an object. Simple subtraction of the smaller numerator from the larger numerator will yield the solution to the problem. To solve, for instance, 6/8 - 2/8, just take 2 out of the answer. The answer, which can be abbreviated to "4/8," is 12, or 12.

Making a fraction simpler by reducing or simplifying it is our goal. In order to do this, we divide the denominator and numerator by the largest integer that can be divided into both integers precisely. That is to say,

To learn more about fractional equations to refer:

brainly.com/question/10354322

#SPJ1

Answer:

its A

Step-by-step explanation:

Answer:

uhk3rbfghsfbhufevhjb

Step-by-step explanation:

give me brainlest

Answer:

144

Step-by-step explanation:

3ft = 36 inches         card 2x3 = square  6 inches

2ft = 24 inches

36X24 = 864 square inches

864/6= 144

The greatest number of cards that can be cut from the sheer if rectangular cards 2 inches by 3 Inches are cut from a rectangular sheet 2 ft by 3 ft is 144.

An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel, opposite sides. Since a rectangle is a two-dimensional form, it has two dimensions: length and width. The rectangle's longer side is its length, while its shorter side is its breadth.

Given:

The dimension of rectangular card = 2 inches × 3 inches,

The dimension of rectangular sheet = 2 ft  × 3 ft,

We know that 1 foot = 12 inches,

The dimension of a rectangular sheet = 24 inches × 36 inches

Area of sheet = 24  ×  36 = 864 inches²,

Area of card = 2  ×  3 = 6  inches²,

The no of card  = Area of sheet / Area of card

The no of card  = 864 / 6 = 144

Therefore, the greatest number of cards that can be cut from the sheer if rectangular cards 2 inches by 3 Inches are cut from a rectangular sheet 2 ft by 3 ft is 144.

To know more about Rectangle:

https://brainly.com/question/15238546

#SPJ2

z = -1/9 , -6/7

Have a nice day!

The answer is 158.75 cubic centimeters! :))

Answer:

the Median is 9.5

Answer:

A

Step-by-step explanation:

Using equations, the weights of the four fish are as follows:

Equations are mathematical statements showing the equality of two mathematical expressions.

Using the equation sign (=), equations depict that expressions are equal or equivalent.

The total weight of the four fish = 1,032

Let the weight of the Amberjack = x

Weight of the Tarpon = 2x

Weight of the White Marlin = 4x (2 x 2x)

Weight of the Tuna = 5x

x + 2x + 4x + 5x = 1,032

12x = 1,032

x = 86

Amberjack = 86 pounds (x)

Tarpon = 172 pounds (2x)

White Marlin = 344 pounds (4x)

Tuna = 430 pounds (5x)

Total weight = 1,032 pounds (86 + 172 + 344 + 430)

Thus, we solved the weight of each fish using equations.

Learn more about equations at https://brainly.com/question/28871326

#SPJ1

How much did each fish weigh?

Answer:

Option C

The Area Of Shaded Region is 50.2 cm²

Step-by-step explanation:

For A given Circle,

For Small (Non-Shaded) Circle:

Diameter (d) = 6 cm

Radius = d ÷ 2 = 6/2 = 3 cm

For Area of Small (Non-Shaded) Circle

A = πr²

A = 3.14 × (3)² cm

A = 3.14 × 9 cm

A = 28.26 cm²

For Area of Big (Shaded) Circle:

Diameter (d) = 10 cm

Radius = d ÷ 2 = 10/2 = 5 cm

For Area of Small (Non-Shaded) Circle

A = πr²

A = 3.14 × (5)² cm

A = 3.14 × 25 cm

A = 78.5 cm²

For The Area Of Shaded Region

Area of Big Circle - Area of Small Circle

78.5 cm² - 28.26 cm² = 50.24 cm²

Thus, The Area Of Shaded Region is

50.2 cm²

-TheUnknownScientist

Answer:

3rd option

50cm2

Step-by-step explanation:

50cm2

explanation is given above

Answer:

Step-by-step explanation:

3.

Note that

[tex]L_1 : 4x-y=10 \\ L_2: -2x+4y=16[/tex]

aren't parralel lines. So they are intersected in one point.

Answer: Number of solutions is ONE. The system is soluble

4.

Similarly to 3. Number of solutions is ONE. The system is soluble

Answer:30.45751052, or 30.5

Step-by-step explanation:

since you know that the playground is a square, a diagonal would cut the square into 2 45-45-90 triangles, now that you know that information, there is a really easy way to solve the problem, the way i did it was i used the law of sines, which states that side a/sin(angle A)=side b/sin(angle B). so 32/sin(90)=30.7943... substitute that into the equation and you get 30.7943... =side b/sin(angle B). since you know that angle B =45 degrees take the sin of that and multiply it by 30.7943 to get the answer.

Answer:

Each friend gets 3 cards

Step-by-step explanation:

Divide 15 by 5 since he is splitting 15 cards with 5 friends.

:D

Answer:

RS=26.49 m;

ST =14.08 m;

m<R =28°

Step-by-step explanation:

Answer:

0.334

Step-by-step explanation:

Basically to show reasoning: 16*215= 3340

4 decimal places, so you would move it four decimal places from 3340.

Which equals to: 0.334

Hope this helped! :)

Answer:

D. y = 4.42

Step-by-step explanation:

I calculated it logically

The perimeter of the netball court is equal to 92 meters.

What does perimeter mean?

The whole distance encircling a shape is referred to as its perimeter. It is the length of any two-dimensional geometric shape's boundary or outline.

A netball court is a rectangle,

it is given that length of the net ball court is equal to 31 meters.

The width of the netball court is equal to 15 meters.

Therefore the perimeter of the netball court is equal to the length of all sides of the rectangle.

Perimeter of netball court = 2(31+15)=92 meters.

Therefore perimeter of the netball court is equal to 92 meters.

To learn more about perimeter, refer to the link below:

https://brainly.com/question/397857

#SPJ1

Answer:

1) the quadrants go counter clockwise, Quadrant I is the upper right square, Quadrant II is the upper left square, Quadrant III is the lower left square, and Quadrant IV is the lower right square.

2) Quadrant II

3) Quadrant IV

4) Quadrant III

5) Quadrant I

6) Both would be on the horizontal axis

7) Both would be on the vertical axis

Step-by-step explanation:

Hope this helped!