The art club had an election to select a president nine out of the 12 members of the our club voted in the election what percentage of the members voted

The equation representing the given situation is, 250 = 70x + 35, where x is the number of cars washed by the company.

In the question, we are given that Scarlett made a profit of $250.00 with her mobile car wash company. She charged $75.00 per car wash and received $35.00 in tips, but also had to pay $5.00 in cleaning supplies per car.

We are asked to represent the situation with an equation.

We assume the number of cars washed by the company to be x.

Charge for washing 1 car = $75.00.

Cost for cleaning supplies for 1 car = $5.00.

Thus the profit on the wash of 1 car = $75.00 - $5.00 = $70.00.

The total profit received by the company, on washing x number of cars = $70x.

The tips received = $35.00.

Thus, the total profit of the company = $(70x + 35).

But, the total profit is given to be $250.00.

Thus, we get an equation, 250 = 70x + 35.

Thus, the equation representing the given situation is, 250 = 70x + 35, where x is the number of cars washed by the company.

Learn more about writing equations at

https://brainly.com/question/13818690

#SPJ4

Answer:

Step-by-step explanation:

The triangle would end up back where it started.  It is hard to explain without a graph.  If you have graph paper, you might want to try drawing this out.  Say that the original points are at A (1,2) B (2,0) and C(0,0).  Now, when we reflect the points over the x axis, they will be the same distance below the x that the points original were about the x axis.  Since A was 2 units above the axis, it will now be 2 units below at (1, -2).  Points B and C will stay on the x axis and will remain in place at B(2.0) and C(0,0).  Since these points are on the line, they were not above the x axis, so they will now not be below the x axis.

Now, we are going to reflect the triangle over the y axis.  Since C (0,0) is already on the y axis, it will not move.  It will remain there.  Since B(2,1) is two units to the right of the y axis, when we flip it, it will now be 2 units to the left of the y axis B (-2,0).  Point C will move one unit to the left of the y axis to become (-1,2).

The last thing left it to rotate this final triangle 180 degrees.  Since a circle is 360 degrees and 180 is half of a circle, it does not matter if we rotate clockwise or counter-clockwise.  If you could trace our new triangle and put a plus sign at the origin (0,0).  You would put your pencil on the origin  and rotate the two turns at the plus sign.  This would put your triangle right back to the beginning.  So the original value of B would be the same.  In this case C ((2,0)

The point B' would be at point B. The position of point won't change.

A reflection is a type of transformation that involves flipping a shape, known as the preimage, over a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you flipped the form over the line in order to graph a reflection.

Given:

Triangle ABC is reflected over the x‐axis, reflected over the y‐axis, and rotated 180 degrees.

Let (x, y) be the coordinates of B.

To find B':

If a figure reflected over x-axis, then

(x, y) → (x, -y)

So, let point B₁ is  (x, -y).

If a figure reflected over y-axis, then

(x, y) → (-x, y)

So, (x, -y) → (-x, -y)

So, let point B₂ is  (-x, -y).

If a figure rotated 180 degrees about the origin, then

(x, y) → (-x, -y)

(-x, -y) → (x, y)

So the B' is (x, y).

Therefore, the position of point won't change.

To learn more about the reflection;

https://brainly.com/question/11232423

#SPJ2

Cost to put a 0. 5 ft layer of topsoil on the entire garden is $1000.

The quantity of square units required to completely fill a square is known as the area of a square. The region that lies inside the confines of a flat item or a two-dimensional figure is generally referred to as the area. Measurements are made in square units, with square meters serving as the reference unit 

Area of a Square = Side × Side.

Therefore, the area of square = Side square units.

Side of a square garden= 10 ft.

Area of a square garden= Side × Side= 10 × 10 =100 square ft.

Cost of the whole garden = 100×$5 =$500

Cost to put a 0. 5 ft layer of topsoil on the entire garden =$500/0.5

=$1000

Learn more about area of square here

https://brainly.com/question/13389992

#SPJ4

The cost need to put a 0. 5 ft layer of topsoil on the entire garden is $1000

According to the given statement

we have given that the

side length of the square garden is 10ft.

topsoil cost per foot is $5

And we have to find the cost which required to put a 0. 5 ft layer of topsoil on the entire garden.

So,

The  side length of the square garden is 10ft.

Now, the volume of the cube is (a)^2

And

Total volume of cube = 10*10

Total volume of cube = 100 per square foot.

Now, we find the cost required for a topsoil.

Cost required to put a topsoil of 1 foot in the total volume of cube = volume*cost

So,

Cost required to put a topsoil of 1 foot in the total volume of cube = 1000*5

Cost required to put a topsoil of 1 foot in the total volume of cube = $5000

if we put a topsoil of 0.5 feet then

The cost required = $5000/0.5

The cost required = $1000.

So, The cost need to put a 0. 5 ft layer of topsoil on the entire garden is $1000

Learn more about Volume of cube here

https://brainly.com/question/3390425

#SPJ4

Answer:

a. The free throw percentage obtained by the Lions is of 81.25%.

b. The free throw percentage for the Eagles was of 37.04%.

c. The field goal percentage for the Lions was of 56.01%.

d. The field goal percentage for the Eagles was of 34.43%.

e. The Lions scored 96 points.

f. The Eagles scored 64 points.

Solution:

a. The lions attempted 16 free throws and made 13, which means lions scored 13 out of 16,

The free throw percentage obtained by the Lions = [tex]\frac{13}{16}[/tex] × 100 = 81.25%

The free throw percentage obtained by the Lions is 81.25%

b. The eagles attempted 27 free throws and made 7 which means 7 out of 27, so:

The free throw percentage obtained by the eagles = [tex]\frac{7}{27}[/tex] × 100 = 25.92 %

The free throw percentage obtained by the eagles is 25.92 %

c. The lions attempted 51 two-point shots and made 22, and attempted 16 three-point shots and made 10.

Total attempted = 51 + 16 = 67

Total shots made = 22 + 10 = 32

The field goal percentage (two-point and three-point shots combined) for the Lions = [tex]\frac{32}{67}[/tex] × 100 = 47.76 %

The field goal percentage for the Lions was of 47.76 %.

d. The eagles attempted 41 two-point shots and made 19, and attempted 16 three-point shots and made 7.

Total attempted = 41 + 19 = 60

Total shots made = 19 + 7 = 26

The field goal percentage (two-point and three-point shots combined) for the eagles= [tex]\frac{32}{67}[/tex] × 100 = 43.33 %

The field goal percentage for the eagles was of 43.33 %.

e. Total goals secured by lions 13 free throws, 22 two's and 10 three's. So

Total points = 10 × 1 + 22 × 2 + 10 × 3 = 84

The Lions scored 84 points.

f. Total goals secured by eagles 7 free throws, 19 two's and 7 three's. So

Total points = 7 × 1 + 19× 2 + 7 × 3 = 66

The eagles scored 66 points.

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

Know more about percentage problems https://brainly.com/question/15583541

#SPJ4

Answer:

2√10

Step-by-step explanation:

We can use the Pythagorean theorem to solve this because it is a right triangle. a^2+b^2 = c^2

7^2-3^2 = x^2

49-9 = x^2

40 = x^2

√4*√10 = 2√10

Ms. Sanchez paid 150 dollars more than Mr. Roland.

Let's say that the electrician worked for x hours in Mr. Roland's home, then worked for (x + 2) hours in Ms. Sanchez home.

Then we need to find the difference between the linear equations:

C(x + 2) - C(x) = (75*(x + 2) + 125) - (75*x + 125)

If we simplify that, we get:

75*x + 75*2 + 125 - 75*x - 125

= 75*2 = 150

This means that Ms. Sanchez paid 150 dollars more than Mr. Roland.

If you want to learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

The period of simple harmonic motion is T = 4.19 seconds:

For given question,

A mass weighing 16 pounds is attached to a spring whose spring constant is 36 lb/ft.

So, we have mass (m) = 16 pounds

spring constant (k) = 36 lb/ft.

Let T be the period of simple harmonic motion.

Using the formula for the period of simple harmonic motion,

⇒ T = 2π√(m/k)

⇒ T = 2 × π × √(16/36)

⇒ T = 2 × π × √(0.444)

⇒ T = 2 × π × 0.666

⇒ T = 1.333 × π

⇒ T = 4.19 seconds

Therefore, the period of simple harmonic motion is T = 4.19 seconds

Learn more about the simple harmonic motion here:

https://brainly.com/question/17315536

#SPJ4

Answer:

[tex]x=-3[/tex]

Step-by-step explanation:

Given equation:

[tex]\dfrac{2x}{x+1}+\dfrac{3(x+1)}{x}=5[/tex]

Make the denominators the same:

[tex]\implies \dfrac{2x}{x+1} \cdot\dfrac{x}{x}+\dfrac{3(x+1)}{x} \cdot \dfrac{x+1}{x+1}=5[/tex]

[tex]\implies \dfrac{2x^2}{x(x+1)}+\dfrac{3(x+1)^2}{x(x+1)} =5[/tex]

Combine the fractions:

[tex]\implies \dfrac{2x^2+3(x+1)^2}{x(x+1)} =5[/tex]

Multiply both sides by x(x+1):

[tex]\implies 2x^2+3(x+1)^2 =5x(x+1)[/tex]

Expand the brackets:

[tex]\implies 2x^2+3(x^2+2x+1) =5x^2+5x[/tex]

[tex]\implies 2x^2+3x^2+6x+3 =5x^2+5x[/tex]

Combine like terms:

[tex]\implies 5x^2+6x+3=5x^2+5x[/tex]

Subtract 5x² from both sides:

[tex]\implies 6x+3=5x[/tex]

Subtract 5x from both sides:

[tex]\implies x+3=0[/tex]

Subtract 3 from both sides:

[tex]\implies x=-3[/tex]

Learn more about algebraic fractions here:

https://brainly.com/question/27943438

https://brainly.com/question/27979364

The requried simplified expression for  [tex]y^{5/4}[/tex]  is given by [tex]y^{5/4}= 32 * 10^{10k}[/tex]

To find an expression for [tex]y^{5/4}[/tex] in terms of k, we'll substitute the given value of y into the expression and then apply the exponent (5/4).

Given: [tex]y = 16 *10^{8k}[/tex]

Now, let's calculate [tex]y^{5/4}[/tex]:

[tex]y^{5/4} = (16 *10^{8k})^{5/4}[/tex]

To apply the exponent (5/4), we raise each factor to the power of (5/4):

[tex]y^{5/4}= 16^{5/4} * (10^{8k})^{5/4}[/tex]

Since [tex](10^8)^k[/tex] is [tex]10^{(8k)}[/tex], we have:

[tex]y^{5/4}= 16^{5/4}* 10^{8k * 5/4)[/tex]

[tex]y = 16*10^{8k}[/tex]

[tex]y^{5/4}= 2^5 * 10^{10k}[/tex]

Finally, we can write the expression in terms of k:

[tex]y^{5/4}= 32 * 10^{10k}[/tex]

Learn more about expression here:
https://brainly.com/question/17808599

#SPJ4

Answer: D. 12

Step-by-step explanation: The mode is the most popular number in a set of numbers. In this set, there are 3 sevens, 3 twelves, 2 nines, and 2 fifteens. If the mode is twelve, you need one more 12 because there are the same amounts of twelves and sevens. So that means the answer is 12!

Two ways to measure the relationship between the returns of two securities are correlation and covariance. That is options C and D.

Correlation can be defined as the measure of the difference between two variables in a statistical analysis.

Covariance can be defined as the measure of the relationship between two variables in statistical analysis.

Therefore, Two ways to measure the relationship between the returns of two securities are correlation and covariance.

Learn more about correlation here:

https://brainly.com/question/11811889

#SPJ1

The relationship between the base of the cone and the angle of the plane that intersects the cone is that the plane must be at a 45 degree angle to the base of the cone. Thus, Option D is correct.

According to the statement

we have given that the to form a ellipse we use the base and angle of the cone, And we have to tell the relationship between them.

So, For this purpose, We know that the

An ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the sum of the two distances to the focal points is a constant.

And to make a ellipse the relationship between the base of triangle and the angle of the cone is that the

The plane must be at a 45 degree angle to the base of the cone.

By this way we make a ellipse with the help of the cone.

So, The relationship between the base of the cone and the angle of the plane that intersects the cone is that the plane must be at a 45 degree angle to the base of the cone. Thus, Option D is correct.

Learn more about ellipse here

https://brainly.com/question/16904744

Disclaimer: This question was incomplete. Please find the full content below.

Question:

To form an ellipse, what is the relationship between the base of the cone and the angle of the plane that intersects the cone?

A. The plane is parallel to the base of the cone..

B. The plane may be perpendicular to the base of the cone..

C. The plane is at an angle that is neither parallel nor perpendicular to the base of the cone.

D. The plane must be at a  angle to the base of the cone.

#SPJ1

Answer:

The plane is at an angle that is neither parallel nor perpendicular to the base of the cone.

Step-by-step explanation:

The plane doesn't need to be at an exact angle of 45 degrees. The most important thing is that the angle isn't parallel or perpendicular to the base of the cone, but it has to be non-zero without intersecting the base itself. It also only intersects one of the cones when looking at a double-cone.

Answer:

x=62

Step-by-step explanation:

This is a straight angle so they have to add up to 180.

124+x-6=180

118+x=180

x=180-118

x=62

Answer:

62

Step-by-step explanation:

124 + (x - 6) = 180

118 + x = 180

x = 62

x intercept:-

put y =0

(5,0)

y intercept

put x=0

(0,10)

option C

Question 1: Given a(x) = x + 5, what are the x-intercepts and y-intercepts of a?

a. x-intercept at (-5,0), y-intercept at (0,5)

b. x-intercept at (5,0), y-intercept at (0,-5)

c. x-intercept at (0,5), y-intercept at (5,0)

Answer: a

The x-intercept is the place where the graph touches the x-axis. Since the equation for the x-axis is just y=0, we can put in 0 for y to get it.

0 = x + 5

x = -5

Since x is -5 and y is 0, the x-intercept is at (-5,0).

The y-intercept is the place where the graph touches the y-axis. Since the equation for the y-axis is just x=0, we can put in 0 for x to get it.

y = 0 + 5

y = 5

Since x is 0 and y is 5, the y-intercept is at (0,5).

Question 2: Given b(x) = 2x + 1, what are the x-intercepts and y-intercepts of b?

a. x-intercept at (0.5, 0), y-intercept at (0, 2)

b. x-intercept at (-0.5,0), y-intercept at (0, 1)

c. x-intercept at (0, -0.5), y-intercept at (1,0)

Answer: b

The x-intercept is the place where the graph touches the x-axis. Since the equation for the x-axis is just y=0, we can put in 0 for y to get it.

0 = 2x + 1

x = -0.5

Since x is -0.5 and y is 0, the x-intercept is at (-0.5,0).

The y-intercept is the place where the graph touches the y-axis. Since the equation for the y-axis is just x=0, we can put in 0 for x to get it.

y = 2(0) + 1

y = 1

Since x is 0 and y is 1, the y-intercept is at (0,1).

Question 3: Given c(x) = 3x - 2, what are the x-intercepts and y-intercepts of c?

a. x-intercept at (-2,0), y-intercept at (0,2/3)

b. x-intercept at (0, 2), y-intercept at (3/2, 0)

c. x-intercept at (2/3, 0), y-intercept at (0, -2)

Answer: c

The x-intercept is the place where the graph touches the x-axis. Since the equation for the x-axis is just y=0, we can put in 0 for y to get it.

0 = 3x - 2

x = [tex]\frac{2}{3}[/tex]

Since x is 2/3 and y is 0, the x-intercept is at (2/3,0).

If the equation is in the form y = mx + b, the y-intercept will be b. The y-intercept also crosses the graph x = 0, so the y-intercept is (0, -2).

Question 4: Given d(x) = -x + 1, find the x-intercepts and y-intercepts of d.

a. x-intercept at (0, 1), y-intercept at (1,0)

b. x-intercept at (1, 0), y-intercept at (0, -1)

c. x-intercept at (1,0), y-intercept at (0,1)

Answer: c

The x-intercept is the place where the graph touches the x-axis. Since the equation for the x-axis is just y=0, we can put in 0 for y to get it.

0 = -x+1

x = -(-1) = 1

Since x is 1 and y is 0, the x-intercept is at (1,0).

If the equation is in the form y = mx + b, the y-intercept will be b. The y-intercept also crosses the graph x = 0, so the y-intercept is (0, 1).

Question 5: Given f(x) = -7x+5, find the x-intercepts and y-intercepts of f.

a. x-intercept at (-5/7, 0), y-intercept at (0, -7/5)

b. x-intercept at (5, 0), y-intercept at (0, 5/7)

c. x-intercept at (5/7, 0), y-intercept at (0, 5)

Answer: c

The x-intercept is the place where the graph touches the x-axis. Since the equation for the x-axis is just y=0, we can put in 0 for y to get it.

0 = -7x+5

x = -5/-7= 5/7

Since x is 5/7 and y is 0, the x-intercept is at (5/7,0).

If the equation is in the form y = mx + b, the y-intercept will be b. The y-intercept also crosses the graph x = 0, so the y-intercept is (0, 5).

The value of ML = 3, using the mid-point theorem of triangles.

According to the midpoint theorem, "the line segment of a triangle crossing the midpoints of two sides of the triangle is said to be parallel to its third side and also half the length of the third side."

In the question, we are given that triangle ABC is an equilateral triangle, and L, M, and N are the midpoints of BC, AB, and CA respectively.

Thus, by the midpoint theorem, we can say that:

Assuming AB = BC = AC = x units, we get:

Thus, the triangle LMN is an equilateral triangle.

Thus, MN = ML = NL.

Given MN = 3, we can write the value of ML = 3.

Thus, the value of ML = 3, using the mid-point theorem of triangles.

Learn more about the mid-point theorem of triangle at

https://brainly.com/question/9635025

#SPJ1

The given question is in Spanish. The question in English is:

"Triangle ABC is equilateral and L, M, and N are the midpoints of BC, AB, and CA respectively. If MN = 3, what is the value of ML?"

Since the ratio of their similar sides are equal hence the triangles are similar

Two figures are are known to be similar if the ratio of their similar sides are equal to a constant known as the scale factor.

For the triangles given, take the ratio of the sides;

12/2 = 6

30/5 = 6

36/6 = 6

Since the ratio of their similar sides are equal hence the triangles are similar

Learn more on similar shapes here: https://brainly.com/question/2644832

#SPJ1

Answer: A

Step-by-step explanation:

[tex]m\angle ABC=59^{\circ}[/tex] by the inscribed angle theorem.

Answer:

Step-by-step explanation:

 yes I believe it is an quartic binomial

Answer:

yes

Step-by-step explanation:

If because it has two terms, it is a binomial, therefore it also qualifies as a polynomial.

Hope this helps

Answer:

Step-by-step explanation:

A parallel line will have the same slope as the line on the graph. A perpendicular line will have a slope that is the opposite reciprocal of the slope of the graphed line.

The line on the graph rises 1 grid square for each run of 2 grid squares to the right. Its slope is ...

  m = rise/run = 1/2

The opposite reciprocal of this slope is ...

  -1/(1/2) = -2

A perpendicular line will have a slope of -2.

The slope-intercept form of the equation for a line is ...

  y = mx +b

where the slope is m and b is the y-intercept. For the purpose here, we don't care about the y-intercepts of any of the lines. We only care about the slope: the coefficient of x.

This means the equations we're looking for are of the form ...

  parallel line: y = 1/2x + b

  perpendicular line: y = 2x +b . . . . . for some constant b

Of the equations offered, the only one with an x-coefficient of 1/2 is ...

  y = 1/2x +3

Of the equations offered, the only one with an x-coefficient of -2 is ...

  y = -2x +1

Answer:

Step-by-step explanation:

you are welcome

Answer:

The measure of the acute angle = 90 - a

Leg 1 = a cos(a)

Leg 2 = a sin(a)

Step-by-step explanation:

In a right triangle ,the two acute angles are complementary

We are given that the measure of one of the acute angles is ‘a’

Then

The measure of the other one is ‘90 - a’

Now, we use the law of sine to determine the length of the legs :

Let x and y be respectively the length of the two legs.

[tex]\frac{x}{\sin \left( 90-a\right) } =\frac{a}{\sin \left( 90\right) }[/tex]

[tex]\Longleftrightarrow \frac{x}{\sin \left( 90-a\right) } =a[/tex]

[tex]\Longleftrightarrow x = a \times\sin \left( 90-a\right)[/tex]

[tex]\Longleftrightarrow x = a \times\cos \left( a\right)[/tex]

On the other hand,

[tex]\frac{y}{\sin \left( a\right) } =\frac{a}{\sin \left( 90\right) }=a[/tex]

Then

[tex]y = a \times \sin(a)[/tex]

Direct Variation; k=3 best describes the function on the graph

Option A)

Direct variation is a linear function defined by an equation of the form y = kx when x is not equal to zero. Inverse variation is a nonlinear function defined by an equation of the form xy = k when x is not equal to zero and k is a nonzero real number constant. In direct variation, as one number increases, so does the other. This is also called direct proportion: they're the same thing. An example of this is relationship between age and height. As the age in years of a child increases, the height will also increase. In inverse variation, it's exactly the opposite: as one number increases, the other decreases. This is also called inverse proportion. An example would be the relationship between time spent goofing off in class and your grade on the midterm. The more you goof off, the lower your score on the test

The given equation is a Straight line with equation y = 3x.

Thus the given graph is direct Variation graph with k=3.

Learn more about Direct and inverse variation here :

https://brainly.com/question/11592410

#SPJ1

Answer:

16 slices

Step-by-step explanation:

24* 2/3 = 16

Answer: ) (2a+7)(3b- 4)

Step-by-step explanation:

The synthetic division's representation of the dividend is 2x3 + 10x2 + x + 5.

Given that

An L shape is created when two lines intersect vertically and horizontally.

The shape has entries in two rows.

Entries in row 1 are 2, 10, 1, and 5.

Blank, -10, and 0 are the entries in row 2.

A simplified method of dividing a polynomial with another polynomial equation of degree one is known as synthetic division.

On the exterior, to the left of the form, is entry number 5.

The entry stands for the divisor's zero.

If the variable is x, then this entry to the variable is;

2x³+10x²+x+5

The dividend is thus represented by synthetic division as

2x³+10x²+x+5

The Question is incomplete And complete question is given below!!

What dividend is represented by the synthetic division below? A vertical line and horizontal line combine to make a L shape. There are two rows of entries within the shape. Row 1 has entries 2, 10, 1, 5. Row 2 has entries blank, negative 10, 0, negative 5. Entry negative 5 is on the outside to the left of the shape, and a third row of entries is outside and below the shape. Row 3 has entries 2, 0, 1, 0. Negative 10 x squared minus 5 2 x cubed 10 x squared x 5 2 x squared 1 2 x cubed x.

Learn more about Synthetic division here

https://brainly.com/question/27979968

#SPJ1

Answer:

The answer on Edge is A= 1

Step-by-step explanation:

Answer: The fourth choice

Step-by-step explanation:

(f - g)(x) = f(x) - g(x) = 4[tex]x^{2}[/tex] - 5x - (3[tex]x^{2}[/tex] + 6x - 4) = [tex]x^{2}[/tex] - 11x + 4

Step-by-step explanation:

Taking the men first: there are 5 ways to form a 4-man committee out of 5 men.

Taking the women now: There are 20 ways to form a 3-woman committee out of 6 women.

Each of the 5 possible male groups can be combined with any of the 20 possible female groups.

So: 100.

Based on the number of shares that Ralph Warren purchased, the total cost of the stock was $469.63. The amount he received from sales was $447.13. The capital loss was $22.50.

The cost of the stock was:

= (27 x 16³/₈) + 27.50

= $469.63

The amount received from sales:

= (27 x 17⁵/₈) - 28.75

= $447.13

This capital gain (loss):

= 447.13 - 469.63

= -$22.50

Find out more on capital gain at https://brainly.com/question/4301877

#SPJ1

Answer:

A=120

B=165

C=240

Step-by-step explanation:

1. The given function is growth.

The percent of growth is 43%.

The initial value is 1500.

2. The rate of decay is 20% per day.

3. a. The exponential equation representing the sales after x months for the given situation is 3500000(0.97ˣ).

b. The monthly sales after 8 months will be $274,310.1758.

4. Between months 5 and 6, the website gains more members. The difference between the two sites for this period is 2700 members.

An exponential function is of the form f(x) = (a)(bˣ), where a is the initial value, and b is the exponential factor.

When b > 1, we have growth, and when b < 1, we have decay or depreciation.

1. Given function, f(x) = 1500(1.43ˣ).

The exponential factor in this function is 1.43, which is greater than 1, thus we have growth.

The percent of growth = (1.43 - 1)*100% = 43%.

The initial value = 1500.

2. Given an equation, y = 75(.8ˣ).

The exponential factor in this function is 0.8, and x signifies the days passed.

Thus, the rate of decay = (1 - 0.8)*100% per day = 20% per day.

3. Initial value = $350,000.

Rate of depreciation = 3% per month.

a. Thus, the equation for the sales after x months can be given as:

f(x) = 350000(1 - 0.03)ˣ = 350000(0.97ˣ).

b. To find the monthly sales after 8 months, we substitute x = 8.

Sales = 350000(0.97⁸) = $274,310.1758.

4. Initial members for both sites = 100.

For site a:-

Members double each month.

This makes an exponential equation, f(x) = 100.(2ˣ), where x is the number of months.

The growth between months 5 and 6 can be calculated as:

f(6) - f(5) = 100.(2⁶) - 100.(2⁵) = 6400 - 3200 = 3200.

For site b:-

500 new members are added each month.

This makes a linear equation, f(x) = 100 + 500x, where x is the number of months.

The growth between months 5 and 6 can be calculated as:

f(6) - f(5) = (100 + 500*6) - (100 + 500*5) = 3100 - 2600 = 500.

Thus, between months 5 and 6, the website a gains more members. The difference between the two sites for this period is 2700 members.

Learn more about exponential functions at

https://brainly.com/question/2456547

#SPJ4