x + y = 3



Which of the following equations is equivalent to the given equation?

3x + 2y = 18
2x + 3y = 18
3x + 2y = 3

A) Amaire have more money than Jermaine after 10 years.

B) By [tex]5.387*10^{11}[/tex]% Amaire has more money than Jermaine.

What is compound interest?

The interest charged on a loan or deposit is known as compound interest. It is the idea that we employ the most frequently on a daily basis. Compound interest is calculated for an amount based on both the principal and cumulative interest.

Amare and Jermaine has initial amount = $1000

Amare spend his money that pays 2.25% compounded daily.

where are Jermain invest his money that pays 2.25% compounded annually.

Formula of Compound interest that compounded daily

final amount = [tex]A(1+\frac{r}{365})^{365t}[/tex]

where A is initial amount and t is time in years .

final amount after 10 years

final amount = [tex]1000(1+\frac{2.25}{365})^{365*10}[/tex]

final amount = 1000×[tex]1.00616^{3650}[/tex]

final amount = 1000×5.51×[tex]10^{9}[/tex]

final amount  = $5.51 ×[tex]10^{12}[/tex]

Formula of Compound interest that compounded annually

final amount = [tex]A(1+\frac{r}{100})^{t}[/tex]

where A is initial amount and t is time in years .

final amount after 10 years

final amount = [tex]1000(1+\frac{2.25}{1000})^{10}[/tex]

final amount = 1000×[tex]1.00225^{10}[/tex]

final amount = 1000×1.0227

final amount  = $1022.7

Part A :

Amare has more money after 10 years.

part B :

percent more money = [($5.51 ×[tex]10^{12}[/tex] - 1022.7)/1022.7]*100=[tex]5.387*10^{11}[/tex]%

To learn more about Compound Interest from the given link

brainly.com/question/28020457

#SPJ1

Answer:

Hope that helps! :)

-Aphrodite

Step-by-step explanation:

The value of x and y in the diagram are 26° and 9° respectively.

Two adjacent angles formed a linear pair.

The linear pair property:

The sum of the angle measure of both the angles is 180°.

Given:

Using linear pair theorem,

(5x - 17)° + (3x - 11)° = 180°.

8x - 28°= 180°

8x = 180° + 28°

8x = 208°

x = 208/8

x = 26°

The value of x is 26°.

Now,

3x - 11° = 3×26°-11°

           = 67°

Linear pair theorem,

67° + 90° + (2y+5)° = 180°

157°+2y+5° = 180°

2y + 162° = 180°

2y = 180° - 162°

2y = 18°

y = 9°

The value of y is 9°.

Therefore, the value of x is 26° and y is 9°.

To learn more about the linear pair;

https://brainly.com/question/17525542

#SPJ1

The complete question is given in the attached image.

12,000$Step-by-step explanation

Answer:

d. y=8x

Step-by-step explanation:

since y = the number of legs and spiders = x

each spider has 8 legs

so y = 8*x

which is y=8x

Answer:

All of them approach 9 when x=0

Step-by-step explanation:

The value of k is 3. We have to equal the distance between PA and PB and then solve the equation by squaring both side.

Given is that P(2k, k) is equidistance from A(-2, 4) and B(7, -5).

First, we try to understand what is distance formula between 2 points

let's suppose we have 2 points (x1, y1) and (x2, y2).

Find the distance between them.

The separation between two points the coordinates of two points in space are used in the formula. In coordinate geometry, a two-dimensional or three-dimensional space can be used to calculate the distance between two points using the distance formula. The Pythagoras theorem is also applied to the distance formula for two points.

The length of the line segment bridging two points on a plane is known as the distance between the points. d=√(x2 - x1)^2 + (y2 - y1)^2 is a common formula to calculate the distance between two points. This equation can be used to calculate the separation between any two locations on an x-y plane or coordinate plane.

Given that PA = PB.

First, find what is PA

[tex]\sqrt{(2k+2)^2 + (k-4)^2}[/tex]

Here we will use the formula of

(a + b)^2  = a^2 + 2ab + b^2

(a - b)^2 = a^2 -2ab + b^2

[tex]\sqrt{4k^2+8k + 4 + k^2 -8k + 16}[/tex]

[tex]\sqrt{5k^2+20}[/tex].

Now find what is PB.

[tex]\sqrt{(2k-7)^2 + (k+5)^2}[/tex]

[tex]\sqrt{4k^2 + 49 -28k + k^2 + 25 + 10k}[/tex]

[tex]\sqrt{5k^2 - 18k + 74}[/tex]

PA = PB.

[tex]\sqrt{5k^2 + 20 } = \sqrt{5k^2 -18k + 74}[/tex]

squaring both sides.

5k^2 + 20 = 5k^2 -18k + 74

18k  =  74-20

18k = 54

k = 3.

To know more about the distance formula here:

https://brainly.com/question/29186155

#SPJ4

Answer:

c = 77

b = 77

Step-by-step explanation:

c and b are equal because they are vertically opposite.

In addition, they both form a supplementary pair with 103 (but not at the same time).

c + 103 = 180                 c and 103 form a supplementary pair.

c = 180 - 103

c = 77

c = b = 77

A unit rate I found at the grocery store was 10 bananas/ $5 this describe the price for 10 bananas but can also be used to identify the price for 1 banana.

In mathematics, a unit rate can be defined as a mathematical expression that includes two units to show the rate of a specific activity. For example, the expression 50 kilometers/2 hours shows a car covers a distance of 50 kilometers in two hours, which can be simplied as 25 kilometers per hour.

A unit rate I could observe last weekend while buying fruits and vegetables was 10 bananas/ $5. This unit rate is mainly used to inform buyers about the price of 10 bananas. However, this can also be simplified as $0.5 per banana and this would inform the buyers about the price per unit.

Learn more about grocery store in: https://brainly.com/question/29352339

#SPJ1

Answer:

Vertex: (-3, -5)

Axis of Symmetry: x = -3

Step-by-step explanation:

Heres the sketch:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Answer:

a. sin 300 = -∛3/2, cos 300 = 1/2

b. sin -225 = √2/2, cos -225 = √2/2

c. sin 5π/6 = 1/2, cos 5π/6 = -3√2

d. sin -4π/3 = √3/2, cos -4π/3 = -1/2

Step-by-step explanation:

See unit circle

The exponential function that best models this data is given as follows:

C. y = 80(0.75)^x + 20.

An exponential function, considering it's asymptote, is defined as follows:

y = a(b)^x + c.

In which the parameters are given as follows:

From the graph, the horizontal asymptote is at y = 20, hence the parameter c is defined as follows:

c = 20.

When x = 0, y = 100, hence the parameter a is obtained as follows:

100 = a(b)^0 + 20

a + 20 = 100

a = 80.

When x = 5, y = 40, hence the parameter b is obtained as follows:

40 = 80b^5 + 20

80b^5 = 20

b^5 = 1/4

b = (1/4)^(1/5)

b = 0.75. (approximately).

Hence the function is defined as follows:

y = 80(0.75)^x + 20.

Meaning that the correct option is given by option C.

More can be learned about exponential functions at https://brainly.com/question/25537936

#SPJ1

Answer:

To find the sale price of the suit, we need to first calculate the discount. The discount is equal to the original price multiplied by the discount rate, which in this case is $280 * 30% = $84.

Then we subtract the discount from the original price to find the sale price: $280 - $84 = $196.

So the sale price of the suit is $196.

Step-by-step explanation:

Answer:

[tex] {x}^{y} = {y}^{x} \: - - - (1)[/tex]

[tex]x = 2y \: - - - (2)[/tex]

Substitute (2) into (1):

[tex] {2y}^{y} = {y}^{2y} [/tex]

Log both sides:

[tex]lg(2 {y}^{y} ) = lg(y^{2y} )[/tex]

[tex]y \: lg(2y) = 2y(lg \: y)[/tex]

[tex]y \: lg(2) + y \: lg(y) = 2y \: lg(y)[/tex]

[tex]y \: lg(2) = 2y \: lg(y) - y \: lg(y)[/tex]

[tex]y \: lg(2) = y \: lg(y)[/tex]

Divide by y on both sides:

[tex]lg(2) = lg(y)[/tex]

[tex] {10}^{lg(2)} = {10}^{lg(y)} [/tex]

2= y

y= 2 (proved)

Explanation:

• step 5: lg(m)^n= nlg(m)

• Step 6: lg(mn)= lg(m) +lg(n)

Answer:

88 lunas

Step-by-step explanation:

El número inicial de búfalos, a = 1,944

El número de búfalos después de 12 semanas, y₁₂ = 1296

La forma general de una función decreciente exponencial se presenta como sigue;

y = a · bˣ

Dónde;

x = El número de lunas

b <1

a = El primer término = 1,944

Por lo tanto, tenemos;

1.296 = 1.944 × b¹²

b¹² = 1.296 / 1.944 = 2/3

b = e ^ (ln (2/3) / 12) ≈ 0,967

Cuando queden 100 búfalos, tenemos;

100 = 1.944 × (0,967)ˣ

x = ln (100 / 1.944) / ln (0,967) ≈ 87,82 ≈ 88

El número de lunas que tendrían que dejar el prado, x ≈ 88 lunas

Thus, the choice that best describes the graph is A cubic function on a coordinate plane has an inflection point at x = 5 and crosses the x-axis at x = 5.

f(x)=ax3+bx2+cx+d, where  0 and the coefficients a, b, c, and d are complex numbers, and where the variable x has real values. In other words, it is both a three-degree polynomial function and a real function.

Here,

Our role in this situation is:

y = ∛(x - 5) (x - 5)

so the cubic root is given.

In this case, we see that when x = 0, we have:

The y-intercept is y = -5.

And if x = 5, we get:

Because of the sign change, the x-intercept and inflection point are both equal to  y = ∛0 = 0 

Thus, the choice that best describes the graph is A cubic function on a coordinate plane has an inflection point at x = 5 and crosses the x-axis at x = 5.

To learn more about cubic function visit:

brainly.com/question/20896994

#SPJ1

The error is that the student rounded off the outcome after combining the numbers.

When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number.

For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done.

So, we have:

162 + 287 + 395 = 840

The error:

After adding the numbers, the student rounded the result.

If the learner had added the numbers first and then rounded the result, they would have received the correct answer of 850 instead of 840.

When estimating totals, students should be taught to round numbers first before adding them.

Therefore, the error is that the student rounded the outcome after combining the numbers.

Know more about rounding off here:

https://brainly.com/question/28128444

#SPJ4

Correct question:
A third-grade student is asked to find the best-estimated answer for the problem below by rounding to the nearest ten.

162 + 287 + 395

The student gets an answer of 840. Which of the following best describes the student's error?

For a roll of paper with dimensions 3 feet cut to any desire length,

a) The value of perimeter when cut to 2.5 feet is 11 feet.

b) The complete table with filled perimeter column is present above . The function notation for perimeter is , P =2(L+ W)

c) P(11) , represents the length of paper cut to 11 feet in this situation. It's value i.e., P(11) = 28 feet .

Perimeter is defined as the sum of all boundary length of any geometry. We have a roll of paper with dimensions 3 feet ( i.e, width) is cut to any length. From, it we conclude that that paper is like quadrilateral shape but not square.

a) when the paper cut in a length of 2.5 feet , so, length (L) = 2.5 feet

The perimeter of quadilateral ( rectangle in this case ) is 2(L+W) so, perimeter

= 2( 2.5 + 3)

= 11.0 feet

b) Now, we have to complete "perimeter coulmn ," in the table and side lengths are provided.

Width (w) = 3 feet

length (l) = 1 feet

perimeter = 2(4) = 8

similarly, side lengths (ft.) perimeter ( ft.)

2.5 11

1 8

2 10

11 28

L 2( L + W)

The functional notation for perimeter is

P = 2(L+W) .

c) P(11) represents the length of paper in feet when the paper is cut at a length of 11 feet . It's value is 28 feet . So, the value of P(11) is 28 feet.

To learn more about perimeter, refer:

https://brainly.com/question/397857

#SPJ4

Complete question:

A roll of paper that is 3 feet wide can be cut to any length.

a. If we cut a length of 2.5 feet, what is the perimeter of the paper?

b. Complete the table with the perimeter for each given side length. Then, write a rule for a function, P, that gives the perimeter of the paper in feet when the side length in feet is L, use a function notation.

c) what does P(11) represent in this situation? What is its value?

Answer:

pls give me the brainliest

the answer is in the attached document

Answer:

1 13/15

You need to turn the mixed number into an improper fraction to multiply.

147.5 times 14 = 2065

And they want an estimate so just round the 147.5 to 150.0 and the 14 to a 15 and your answer is 2250

Estimate : 2250

Actual answer is : 2065

If you have any questions comment under this post

Have a wonderful day<3

Answer:

Take the ratio of the 2 numbers:

[tex] \frac{6.5 \times {10}^{ - 8} }{8.8 \times {10}^{ - 27} } = 7.4 \times {10}^{18} [/tex]

This means that it takes 7.4×10^18 particle Bs to equal the mass of particle A.

Answer:

Function 2, y = x - 5

Step-by-step explanation:

Function 1 is called an Absolute Value Function (where there is absolute value symbol around the whole or a part of the equation, its parent function is; y = |x| )

Function 2 is called a Linear Function (which could be written as y = mx + b, here m and b are integer values, b value is the y-intercept, m is the slope)

Function 3 is called an Inverse Function ( where a value is divided by a variable like "x", it's parent function is; y = [tex]\frac{1}{x}[/tex] )

Function 4 is called a Quadratic Function (it's a function where the variable is squared, it's parent function is; y = x² )

Hope this helps!

The function that represents the linear function is y = x - 5. Then the correct option is B.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Let's check all the options, then we have

A) y = |x| - 5, the function is an absolute function.

B) y = x - 5, the function is a linear function.

C) y = 1/x - 5, the function is a rectangular hyperbolic function.

D) y = x² - 5, the function is a quadratic function.

The function that represents the linear function is y = x - 5. Then the correct option is B.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

Answer:

Step-by-step explanation:

The given statement represents the equation:

For the values of x = 1, 2, 3 the value of y would be:

Correct table to reflect this is D.

Answer:

The declaration is the equation:

and = 60x

In terms of values x = 1, 2, 3 y is: Y

Y = 60. 120.

This is shown by the right table D.

Table with 3 rows in 2 columns.

The hours of entries 1, 2, 3 are shown with Column 1.

Miles containing the items 60, 120, 180 are shown in column 2.

0 Thank you.

Step-by-step explanation:

We can see here that the effect that the circled point will have on the y-intercept is: B. The y-intercept will decrease because the point pulls the least-squares regression line toward it.

In statistics, an intercept is the value of the dependent variable when the independent variable(s) is equal to zero. It is often represented by the symbol "b" in a linear equation.

For example, a simple linear equation has the form y = mx + b, where "y" is the dependent variable, "x" is the independent variable, "m" is the slope of the line, and "b" is the y-intercept. The y-intercept is the point where the line crosses the y-axis.

We see here that the answer above is the correct answer.

Learn more about intercept on https://brainly.com/question/24990033

#SPJ1

Answer:

5

Step-by-step explanation:

Each value of ADCB is 2x as much as EHGF

The XYZ axis is called as X-axis, Y-axis, and Z-axis, respectively.

The term axis in math is defined as  a line with respect to which a curve or figure is drawn, measured, rotated, etc.

Here we have given that XYZ axis, in math are no standard names for the coordinates in the three axes

Based on these the coordinates are often denoted by the letters X, Y, and Z, or x, y, and z.

And these axes may then be referred to as the X-axis, Y-axis, and Z-axis, respectively.

Here in the graph x-axis and y-axis represent the first two dimensions where as the z-axis, the third dimension. Which is also defines the x and y denote width and height and the z denotes depth.

To know more about Coordinates here.

https://brainly.com/question/27749090

#SPJ4

Answer:

90

Step-by-step explanation:

2*3*3*5=

90

Answer:

90

Step-by-step explanation:

2 × 3 × 3 × 5

2 × 3 × 15

2 × 45

90

Answer:

72.83

Step-by-step explanation:

61²+x²=95²

3721+x²=9025

x²= 5304

x= 72.83