ANSWER ASAP I WILL GIVE BRAINIEST AND POINTS

Answer:

b. the rate at which the account is increasing

Step-by-step explanation:

The average rate of change for the interval from x =  7 to x =  8 is 35.  

To calculate the average rate of change for the interval from x =  7 to x =  8, we need to find the difference in y- values and divide it by the difference inx-values within that interval.

Let's calculate it step by step using the given table  

For the interval from x =  7 to x =  8  x1 =  7, y1 = -37  x2 =  8, y2 = -2   Difference in y- values Δy =  y2- y1 = -2-(- 37) =  35  

Difference inx-values Δx =  x2- x1 =  8- 7 =  1  

Average rate of change =  Δy/ Δx =  35/ 1 =  35  

Thus, the average rate of change for the interval from x =  7 to x =  8 is 35.   Note: It's important to mention that the values calculated then are grounded solely on the given data. Please  insure you  corroborate the  delicacy of the  handed data and  environment before using the answer in any important or critical  operations.

For more such questions on rate of change, click on:

https://brainly.com/question/25184007

#SPJ8

Answer:

55. 16       56. 48       57.27

Step-by-step explanation:

You add all the sides that you are given together and then you subtract that from the perimeter given. EX. In question 55 you would do 20+12=32 so 48-32=16.

Check the picture below.

Make sure your calculator is in Degree mode.

Answer:

500

Step-by-step explanation:

100/10 • 50

= 10 • 50

= 500

The solution is Option D.

The median of the data is A = 20 and the mean of the data is M = 22.7

The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.

Mean = Sum of Values / Number of Values

Given data ,

Let the mean of the data be represented as M

Let the median of the data be represented as A

Now , the equation will be

The list of donations is represented as set D

Set D = { 10, 10, 10, 10, 15,15,15,19, 20, 20, 20, 25, 25, 25, 30, 30, 55, 55 }

Now , the mean M is = 10 + 10 + 10 + 10 + 15 + 15 + 15 + 19 + 20 + 20 + 20 + 25 + 25 + 25 + 30 + 30 + 55 + 55 / 18

The mean M = 409 / 18

On simplifying the equation , we get

The mean M = 22.722

Now , the median of the data is A = 20

Hence , the mean is 22.7

To learn more about mean click :

https://brainly.com/question/15526777

#SPJ1

The median of 20 is the most accurate to use, since the data is skewed.

The most accurate measure of center to use in this case is the median of 20. This is because the data is skewed, with a few high-value donations (such as the two donations of 55 dollars) that pull the mean up. However, most of the donations are clustered around 10 to 20 dollars. As a result, the median, which is the middle value when the data is sorted in order, is a better representation of the "typical" donation amount.

In this case, the median is 20, which means that half of the donations were less than 20 dollars and half were more. This is a more accurate representation of the central tendency of the data than the mean of 22.7, which is influenced by the high-value donations. Therefore, the charity should use the median of 20 to accurately represent the typical donations received.

Answer:

Step-by-step explanation:

The mode is the correct answer

Using the Venn Diagram principles, the number of customers at the supermarket who purchased both shirts and pants is 26.

A Venn Diagram shows a pictorial or graphical representation of the relationship (similarities and differences) between data sets.

In a Venn Diagram, overlapping circles or other shapes can be used to depict the logical relationships between two or more data sets or items.

The total number of customers at a supermarket = 118

The number of customers who purchased shirts, n(A) = 45

The number of customers who purchased pants, n(B) = 59

The number of customers who purchased neither shirts nor pants = 40

Let the number of customers who purchased both shirts and pants = n(A ∩ B)

n(A ∪ B) = n(A) + n(B) - n(A ∩ B)

n(A) = 45 n(B) = 59 n(A ∪ B) = 118 - 40 = 78

Substituting values:

78 = 45 + 59 - n(A ∩ B)

Solving for n(A ∩ B), we get:

n(A ∩ B) = 45 + 59 - 78 n(A ∩ B) = 26

Thus, using the formula of Venn Diagram, we can conclude that at this supermarket with 118 customers, 26 customers purchased both shirts and pants.

Learn more about Venn Diagram at https://brainly.com/question/28060706.

#SPJ1

The point which will lie along closer to point A will be [(-1/2), 6)].

A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

Given that:-

The x-coordinate of point P, that lies 1/4 along segment AB, closer to A where A(-2, 5) and B(4, 9).

The points for the ratio of 1 / 4 will be calculated by using the formula given as below:

Points = [ x₁ + ratio( x₂ - x₁ ) ] , [ ( y₁ + (ratio)(y₂ - y₁ )]

Points = [ (-2 + (1/4) x (4 - (-2)], [ (5 + (1/4)( 9 - 5)]

Points = [ ( -2 + ( 1/ 4 ) 6 ) ] , [ ( 5 + ( 4 / 4)]

Points = [ ( -2 + (3 / 2)] , [ ( 5 + 1 )]

Points = [ ( -1 / 2 ) , [ ( 6 ) ].

Therefore the point which will lie along closer to point A will be [(-1/2), 6)].

To know more about Coordinate geometry follow

brainly.com/question/18269861

#SPJ1

Answer:

$7/lb

Step-by-step explanation:

$70 / 10 lb = $7/lb

Answer:

$7 per pound of letuce

Step-by-step explanation:

We know

10 pounds = $70

1 pounds = ?

We cross multiply and get:

$7 per pound of letuce

So, the answer is $7 per pound of letuce

Answer:

0.185

Step-by-step explanation:

Please mark as brainliest

3. The factored polynomial is p(x) = (x - 1)(x - 5)

4. The factored polynomial is p(x) = (x + 3)²

A polynomial is a mathematical expression in which the power of the unknown is greater than or equal to 2.

3. To factorize the polynomial using the graph, we see that the polynomial cuts the x - axis at x = 1 and x = 5.

This implies that its factors are (x - 1) and (x - 5)

So, the factored polynomial is p(x) = (x - 1)(x - 5)

4. To factorize the polynomial using the graph, we see that the polynomial touches the x - axis at only one point x = -3. So,it has repeated roots

This implies that its factors are (x - (-3)) = (x + 3) twice

So, the factored polynomial is p(x) = (x + 3)²

Learn more about factorization of polynomial here:

brainly.com/question/30806486

#SPJ1

The equation for the line of best fit is given as follows:

y = 50x/3.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b.

The parameters of the definition of the linear function are given as follows:

From the graph, when x = 0, y = 0, hence the intercept b is given as follows:

b = 0.

Hence:

y = mx.

When x = 3, y = 50, hence the slope m is given as follows:

3m = 50

m = 50/3.

Hence the equation is:

y = 50x/3.

More can be learned about linear functions at https://brainly.com/question/15602982

#SPJ1

Just put -2 in,where X is and get your answer that way

It would be 6 I think

The Static Friction coefficient is equal to 9.8.

Friction is the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other.

Given is that a instant before a 400 N wooden beam begins to slide on a horizontal concrete surface, a maximum force of static friction of 392 N is applied.

We know -

Static Friction = Normal Force x Static Friction coefficient.

392 = (Weight/g) x (Static Friction coefficient)

392 = (400/10) x (Static Friction coefficient)

(Static Friction coefficient) = 392/40

(Static Friction coefficient) = 9.8

Therefore, the Static Friction coefficient is equal to 9.8.

To solve more questions on friction, visit the link below -

brainly.com/question/25384702

#SPJ1

{Question in english -

An instant before a 400N wooden beam begins to slide on a horizontal concrete surface, a maximum force of static friction of 392 is applied. What is the coefficient of static friction between the wood and the concrete?}

Answer:

5/16.

Step-by-step explanation:

There are 12 marbles in the bag, 3 are red and 5 are yellow).

P(not red) =  (12/3)/12 = 9/12 = 3/4.

P(yellow) =  5/12.

P(not red then yellow) = 3/4 * 5/12

=  15/48

=  5/16.

Rounded to the nearest tenth, the acceleration in inches per second squared is approximately 15222.8 in/s².

To convert the acceleration from meters per second squared (m/s²) to inches per second squared (in/s²), we need to use the conversion factor between the two units.

1 meter is equal to 39.37 inches.

To convert the units, we can set up the following conversion factor:

1 m/s² = (39.37 in/m)^2 = 1550.0031 in/s²

Now, we can multiply the given acceleration in m/s² by the conversion factor to obtain the acceleration in in/s²:

Acceleration in in/s² = 9.81 m/s² * 1550.0031 in/s²

Acceleration in in/s² ≈ 15222.7568 in/s²

Rounded to the nearest tenth, the acceleration in inches per second squared is approximately 15222.8 in/s².

for such more question on acceleration

https://brainly.com/question/25256383

#SPJ8

Given:

Angle of depression from observation deck to a ship = 67°

Height of observation deck = 1014 feet.

To find:

The horizontal distance from the base of the skyscraper out to the ship.

Solution:

Let x be the horizontal distance from the base of the skyscraper out to the ship.

Using the given information draw a diagram as shown below.

In a right angle triangle,

\(\tan\theta=\dfrac{Perpendicular}{Base}\)

For triangle ABC,

\(\tan A=\dfrac{BC}{AB}\)

\(\tan (67^\circ)=\dfrac{1014}{x}\)

\(x=\dfrac{1014}{\tan (67^\circ)}\)

On further simplification, we get

\(x=\dfrac{1014}{2.35585}\)

\(x=430.41789\)

\(x\approx 430.4\)

Therefore, the horizontal distance from the base of the skyscraper out to the ship is 430.4 feet.

Applying the Trigonometry ratio, TOA, the horizontal distance from the base of the  skyscraper out to the ship is: 430.4 ft.

Recall:

The situation described is shown in an image attached below, where:

To find BA, apply TOA, which is:

tan ∅ = Opp/Adjacent

tan 67 = 1014/BA

\(BA = \frac{1014}{tan(67)} \\\\\mathbf{BA = 430.4 $ ft}\)

Therefore, applying the Trigonometry ratio, TOA, the horizontal distance from the base of the  skyscraper out to the ship is: 430.4 ft.

Learn more about Trigonometry ratio on:

https://brainly.com/question/10417664

Answer:

m = 1/8

Step-by-step explanation:

Assuming that you mean the slope:

\(m=\frac{rise}{run}=\frac{4-2}{32-16}=\frac{2}{16}=\boxed{\frac{1}{8}}\)

Hope this helps.

There are 8 to take Lara and Hayden to volunteer the same number.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Lara already volunteered 50 hours and will volunteer 5 hours more each week.

And, Hayden already volunteered to 10 hours and will volunteer 10 hours each week .

Now, For Lara;

⇒ 50 + 5x

And, For Hayden;

⇒ 10 + 10x

So, For same number of volunteer is,

⇒ 50 + 5x = 10 + 10x

⇒ 50 - 10 = 10x - 5x

⇒ 40 = 5x

⇒ x = 40/5

⇒ x = 8

Thus, There are 8 to take Lara and Hayden to volunteer the same number.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Answer:  j(x) = (x-1)(x+2)

The x-1 part is because of the root x = 1

The root x = -2 leads to the factor x+2

Answer:

g(x)= (x +1)^2 -2

Step-by-step explanation:

Based on the given assumptions and calculations, the net present value (NPV) of the investment in the new piece of equipment is -$27,045.76, indicating that the investment is not favorable.

To calculate the after-tax cash flows for each year and evaluate the investment decision, let's use the following information:

Assumptions:

Tax depreciation is straight-line over five years.

Pre-tax salvage value is $10,000 in Year 5 and $15,000 if the asset is scrapped in Year 4.

Tax on salvage value is 30% of the difference between salvage value and book value of the investment.

The cost of capital is 12%.

Given:

Initial investment cost = $50,000

Useful life of the equipment = 5 years

To calculate the depreciation expense each year, we divide the initial investment by the useful life:

Depreciation expense per year = Initial investment / Useful life

Depreciation expense per year = $50,000 / 5 = $10,000

Now, let's calculate the book value at the end of each year:

Year 1:

Book value = Initial investment - Depreciation expense per year

Book value \(= $50,000 - $10,000 = $40,000\)

Year 2:

Book value = Initial investment - (2 \(\times\) Depreciation expense per year)

Book value \(= $50,000 - (2 \times$10,000) = $30,000\)

Year 3:

Book value = Initial investment - (3 \(\times\) Depreciation expense per year)

Book value = $50,000 - (3 \(\times\) $10,000) = $20,000

Year 4:

Book value = Initial investment - (4 \(\times\) Depreciation expense per year)

Book value \(= $50,000 - (4 \times $10,000) = $10,000\)

Year 5:

Book value = Initial investment - (5 \(\times\) Depreciation expense per year)

Book value \(= $50,000 - (5 \times $10,000) = $0\)

Based on the assumptions, the salvage value is $10,000 in Year 5.

If the asset is scrapped in Year 4, the salvage value is $15,000.

To calculate the tax on salvage value, we need to find the difference between the salvage value and the book value and then multiply it by the tax rate:

Tax on salvage value = Tax rate \(\times\) (Salvage value - Book value)

For Year 5:

Tax on salvage value\(= 0.30 \times ($10,000 - $0) = $3,000\)

For Year 4 (if scrapped):

Tax on salvage value\(= 0.30 \times ($15,000 - $10,000) = $1,500\)

Now, let's calculate the after-tax cash flows for each year:

Year 1:

After-tax cash flow = Depreciation expense per year - Tax on salvage value

After-tax cash flow = $10,000 - $0 = $10,000

Year 2:

After-tax cash flow = Salvage value - Tax on salvage value

After-tax cash flow = $0 - $0 = $0

Year 3:

After-tax cash flow = Salvage value - Tax on salvage value

After-tax cash flow = $0 - $0 = $0

Year 4 (if scrapped):

After-tax cash flow = Salvage value - Tax on salvage value

After-tax cash flow = $15,000 - $1,500 = $13,500

Year 5:

After-tax cash flow = Salvage value - Tax on salvage value

After-tax cash flow = $10,000 - $3,000 = $7,000

Now, let's calculate the net present value (NPV) using the cost of capital of 12%.

We will discount each year's after-tax cash flow to its present value using the formula:

\(PV = CF / (1 + r)^t\)

Where:

PV = Present value

CF = Cash flow

r = Discount rate (cost of capital)

t = Time period (year)

NPV = PV Year 1 + PV Year 2 + PV Year 3 + PV Year 4 + PV Year 5 - Initial investment

Let's calculate the NPV:

PV Year 1 \(= $10,000 / (1 + 0.12)^1 = $8,928.57\)

PV Year 2 \(= $0 / (1 + 0.12)^2 = $0\)

PV Year 3 \(= $0 / (1 + 0.12)^3 = $0\)

PV Year 4 \(= $13,500 / (1 + 0.12)^4 = $9,551.28\)

PV Year 5 \(= $7,000 / (1 + 0.12)^5 = $4,474.39\)

NPV = $8,928.57 + $0 + $0 + $9,551.28 + $4,474.39 - $50,000

NPV = $22,954.24 - $50,000

NPV = -$27,045.76

The NPV is negative, which means that based on the given assumptions and cost of capital, the investment in the new piece of equipment would result in a net loss.

Therefore, the investment may not be favorable.

Please note that the calculations above are based on the given assumptions, and additional factors or considerations specific to the business should also be taken into account when making investment decisions.

For similar questions on assumptions.

https://brainly.com/question/15424356  

#SPJ8

The complete question may be like :

Assumptions: Tax depreciation is straight-line over five years. Pre-tax salvage value is $10,000 in Year 5 and $15,000 if the asset is scrapped in Year 4. Tax on salvage value is 30% of the difference between salvage value and book value of the investment. The cost of capital is 12%.

You are evaluating an investment in a new piece of equipment for your business. The initial investment cost is $50,000. The equipment is expected to have a useful life of five years.

Using the given assumptions, calculate the after-tax cash flows for each year and evaluate the investment decision by calculating the net present value (NPV) using the cost of capital of 12%.

Answer:

I think the answer is 10 square units

From the graph of the function, it's behavior on the intervals is given as follows:

Looking at the graph, we get that a function f(x) is increasing when it is "moving northeast" along the xy-plane, that is, to the right and up on the graph, meaning that when x increases, y increases.

Hence, from the graph of the function, it is increasing for the values to the right of x = 0, that is, on the interval x > 0.

Looking at the graph, we get that a function f(x) is decreasing when it is "moving southeast" along the xy-plane, that is, to the right and down on the graph, meaning that when x increases, y decreases.

Hence, from the graph of the function, it is decreasing for the values to the left of x = 0, that is, on the interval x < 0.

The graph of the function is shown at the end of the answer.

A similar problem, also about increasing and decreasing functions, is given at https://brainly.com/question/2649645

#SPJ1

Answer:

all real numbers

Step-by-step explanation:

it goes on forever

Answer: y=X+10

Step-by-step explanation:

The line crosses the y axis at 10. The slope is 1/1. Hope that helps! Just tell me if you need more explanation

The function have discontinuity at x = 1 since the limits from left and right sides are not equal.

The limit of f(x) as x approaches 1 from the left (or x approaches 1 from the minus side) is 2. This is denoted as:

lim  f(x) = 2

(x → 1-)

The limit of f(x) as x approaches 1 from the right (or x approaches 1 from the plus side) is 9. This is denoted as:

lim f(x) = 9

(x → 1+)

Since the limits from the left and right sides are not equal, the function has a discontinuity at x = 1. The limit of f(x) does not exist (denoted as "DNE") at x = 1.

learn more on discontinuity of limit here;

https://brainly.com/question/28760518

#SPJ1

Answer:

23 apple pies and 13 cherry pies were sold.

Step-by-step explanation:

Let's use the variables a and c to represent the number of apple and cherry pies sold, respectively.

From the problem, we know that:

The total number of pies sold is 36: a + c = 36

The total revenue from pie sales is $304.00: 7a + 11c = 304

We now have two equations with two unknowns. We can use substitution or elimination to solve for a and c. Here's one way to use substitution:

Solve the first equation for a: a = 36 - c

Substitute a = 36 - c into the second equation: 7(36 - c) + 11c = 304

Simplify: 252 - 7c + 11c = 304

Simplify further: 4c = 52

Solve for c: c = 13

Substitute c = 13 into the first equation to solve for a: a + 13 = 36

Simplify: a = 23

Therefore, 23 apple pies and 13 cherry pies were sold.

Answer:

2 gallons an hour

Step-by-step explanation:

This is a fraction equal to

2 gal ÷ 1 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 1

2 gal

÷ 1

1 hours

÷ 1

=

2 gal

1 hour

=

2 gal

hour

= 2 gal per hour

Answer:

3/8

Step-by-step explanation:

1/4 ÷ 2/3 = 3/8