NEED HELP ASAP.

The average annual pay of 4 construction workers is $46,200. Three of those workers earned the these annual amounts of pay $42,998, $49,972, and $50,510. What was the annual pay of the fourth worker?

Answer:

5024 flowers spaced every three inches are needed to surround the circular garden with a 200 ft radius.

Step-by-step explanation:
The formula for the circumference (C) of a circle is:

C = 2 * π * r

Given a radius of 200 ft

C = 2 * 3.14 * 200

C = 6.28 * 200

C = 1256 ft

with each flower spaced every 3 inches apart. Convert the spacing to feet (1 ft = 12 inches)

Divide the circumference by the spacing between the flowers:

Number of flowers = C / spacing

Number of flowers = 1256 / (1/4)

Number of flowers = 1256 * 4

Number of flowers = 5024

Natalie is 2 meters taller than the statue.

Calculating the distance in height between Natalie's head and the statue's peak is necessary.

According to the information provided, Natalie is located 8 meters from the statue, and Natalie's head is 10 meters from the top of the monument.

With the aid of the comparable triangles idea, we can establish the ratio shown below:

(height of statue) / (distance to statue) = (height difference) / (distance to Natalie's head)

Let's denote the height of the statue as "H" and the height difference as "D." The proportion can be written as:

H / 8 = D / 10

To find the height difference (D), we can rearrange the equation:

D = (H / 8) * 10

Given that the distance between the top of the statue and Natalie's head is 10 meters, we can substitute this value into the equation:

10 = (H / 8) * 10

Dividing both sides by 10:

1 = H / 8

Multiplying both sides by 8:

H = 8

Therefore, the height of the statue is 8 meters.

We deduct Natalie's height (10 meters) from the statue's (8 meters) height to find the height gap between the two:

Height difference = Statue's height - Natalie's height

= 8 - 10

= -2

The negative value indicates that Natalie's height is 2 meters taller than the statue.

Therefore, Natalie is 2 meters taller than the statue.

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The length of side AD is,

⇒ AD = 16

We have to given that;

The given figure is a right triangular prism.

In the prism:

• DF = 22 in.

• EG = 11 in.

• Volume of the prism = 1936 cubic in.

Since, Volume of right triangular prism is,

V = 1/2 (bh) x L

Substitute all the values we get;

V = 1/2 (22 × 11) × AD

1936 = 121 × AD

AD = 16

Thus, The length of side AD is, 16

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Answer:

256r^6/t^9

Step-by-step explanation:

start by dividing or simplifying the numbers on the fraction.

4096/16 = 256

Now you multiply the powers on top with the power outside the parenthesis. So (r^-2t^3)^-3

so you now have r^6 t^-9

your equation looks like 256 r^6 t^-9/r^0

But you can't have negative numbers for your powers so we are going to add/subtract with the bottom of the fraction. There are no t's to add/subtract so the t's move to the bottom and become positive. the r has a 0 power so it goes away.

Your equation is now. 256r^6/t^9

Hope that made sense. Good luck!

Answer:

translation (5, 0)

Step-by-step explanation:

the blue has been translated 5 units to the right (x-axis). no change on y-axis. this translation is (5,0)

* 5 will be above the 0. hard to do with the formatting options on here

Using the graph the problem is soled as follows

a. The concentration of the drug in 8 hours is 24 mg/L

b. The concentration of the drug is increasing from 0 to 2 hours and the concentration of the drug is decreasing from 2 to 20 hours

c. The maximum concentration occurred in 2 hours and the maximum concentration at this time is 64 mg/L

d. The time required for the drug concentration to reduce to 16 mg/L is 8 hours.

at maximum it was at 2 hours while at 16 mg/L it was at 10 hours. by subtraction we have

10 - 2 = 8 hours

e. The graph will predict values close to zero but not equal to zero

f. The concentration of the drug is summarized as follows

The concentration rise to its peak which is 64 mg/L at 2 hours and after this time, the concentration is on a steady decline. at 20 hours it is at about 2 mg/L and continued decreasing

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Answer:

48

Step-by-step explanation:

When looking at this you know that all the angle are a full 360. Knowing this you see that both side are the same. So that means they both are 48.

The demand will drop by 741 T-shirts per dollar increase in price.

We will use derivative of p formula with respect to q to find how fast the demand will drop [tex]dp/dq = -50/\sqrt{q^3}[/tex]

At the initial price of $10, the corresponding demand is:

p = 5 + 100/√q = 10

Solving for q, we get:

q = 10000/9

Now, we will find rate of change of demand as the price increases by differentiating the demand formula with respect to p:

[tex]\frac{dq}{dp} = -1/\frac{dp}{dq}[/tex]

At p = 10, we have:

dq/dp = -1/(-50/√(10000/9)^3)

dq/dp = -1/(-0.00135)

dq/dp = 740.740740741

dq/dp = 741.

Full question:

Demand for your tie-dyed T-shirts is given by the formula p = 5+ 100/ √ q  where p is the price in dollars you can charge to sell q T-shirts per month. If you currently sell T-shirts for $10 each and you raise price by $1 each month, how fast will the demand drop?

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Answer:

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

Total surface area is the sum of areas of a square and four triangles.

The total surface area of the square pyramid with a base side length of 7cm and slant height of 9 cm is 175 cm².

A sqaure pyramid is a three-dimentional object with a sqaure shaped base and triangular shaped faces that correspond to each side of the base.

The total surface area of sqaure pyramid can be expressed as;

SA = a² + ( 2 × a × l )

Where a is the side base length and l is the slant height of the pyramid.

From the image:

Side base length a = 7 cm

Slant height l = 9 cm

Surface area SA = ?

Plug these values into the above formula:

SA = a² + ( 2 × a × l )

SA = 7² + ( 2 × 7 × 9 )

SA = 49 + ( 126 )

SA = 175 cm²

Therefore, the total surface area is 175 cm².

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Answer:

A. 10x + y - 2 Ans

B. Solution

(3x + 4) + (y - 5) + ( 7x - 1) =0

grouping

(3x + 7x) + (y) + (4 - 5 - 1) =0

10x + y -2 =0

therefore

perimeter is 10x + y - 2

In the short run, the firms in a competitive industry will earn positive profits because, the market price is higher than the minimum of the average cost curve. The Option A is correct

When the market price is between P4 and P6, firms in a competitive industry are able to earn positive profits in the short run because the price is above their average variable cost (AVC) but below their average total cost (ATC).

This means that firms are covering their variable costs and also making a contribution towards their fixed costs. As a result, they are earning positive profits. But, in the long run the firms will enter the industry and increase supply causing market price to decrease towards P4 where firms earn zero economic profits in the long run.

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Answer:

Step-by-step explanation:

f(x) = x^8 + 6x^7 + 7x^6
     = x^6 ( x^2 + 6x + 7)
     = x^6 (x =  [tex]\frac{-6 +- \sqrt{36 - 28} }{2}[/tex] )

     = x^6 (x =  -3 +- [tex]\sqrt{2}[/tex] )    =   0

     =  x = 0    or         x = -3 +- [tex]\sqrt{2}[/tex]

The balance sheet attached shows the Total Assets to be $55.968M  and Total Liabilities and Capital to be $252M respectively.

1. Assets:

  a. Cash in Reserves:

The required reserves are 5.4% of checkable deposits.

Therefore, the required reserves amount to 5.4% of $92 million, which is:

(0.054 * $92 million) = $4.968 million.

This amount is considered a liability for the bank, but it is held as an asset in the form of cash reserves.

  b. Loans: The bank made a $28 million commercial loan and a $23 million mortgage loan. Therefore, the total loans amount to:

total loan =  $28 million + $23 million

                 = $51 million.

2. Liabilities:

  a. Checkable Deposits:

The bank received $92 million in checkable deposits.

  b. Required Reserves:

As mentioned above, the required reserves amount to $4.968 million.

3. Capital:

  The bank started with $155 million in capital.

Based on the above information, the bank's balance sheet would look as attached.

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Plot twist:

The answer is actually is 16

Step-by-step explanation:

15/10 = 1.5)       24/1.5 = 16

The answer is 16

If leg a is the missing side, then transform the equation to the form where a is on one side and take a square root: a = √(c² - b²)

If leg b is unknown, then: b = √(c² - a²)

For hypotenuse c missing, the formula is: c = √(a² + b²)

The correct answer is : Part A: The angle of elevation from the top of the shadow to the top of the lamppost is 0 degrees.

Part B: The length from the top of the lamppost to the top of its shadow cannot be determined without knowing the value of [tex]\frac{\theta}{2}[/tex], the current angle of elevation.

Part A: To determine the angle of elevation from the top of the shadow to the top of the lamppost, we can use trigonometry. Let's denote the angle of elevation as θ.

In a right triangle, the tangent of an angle is equal to the ratio of the length of the opposite side to the length of the adjacent side. In this case, the opposite side is the height of the lamppost (5 feet), and the adjacent side is the length of the shadow (8 feet).

Using the tangent function:

[tex]\(\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}} = \frac{5}{8}\)[/tex]

To find θ, we can take the inverse tangent (arctan) of both sides:

[tex]\(\theta = \arctan\left(\frac{5}{8}\right)\)[/tex]

The value of θ can be calculated using a scientific calculator or by referencing trigonometric tables.

          |

          |\

          | \

          |  \

          |   \

          |    \

          |     \

-----------+------\

      Lamp Post    \

          |         \

          | Shadow    \

          |____________\

Part B: To find the length from the top of the lamppost to the top of its shadow when the angle of elevation is half of the current angle (θ/2), we can use trigonometry again.

Let's denote the new length of the shadow as x. We want to find x when the angle of elevation is θ/2.

Using the tangent function again:

[tex]\(\tan\left(\frac{\theta}{2}\right) = \frac{\text{opposite}}{\text{adjacent}} = \frac{5}{x}\)[/tex]

Rearranging the equation to solve for x:

[tex]\(x = \frac{5}{\tan\left(\frac{\theta}{2}\right)}\)[/tex]

Substituting the value of θ from Part A:

[tex]\(x = \frac{5}{\tan\left(\frac{\arctan\left(\frac{5}{8}\right)}{2}\right)}\)[/tex]

Evaluating the expression on the right-hand side will give us the approximate length from the top of the lamppost to the top of its shadow at half the angle of elevation.

      Lamp Post

          |

          |\

          | \

          |  \

          |   \

          |    \

          |     \

          |______\

          |  x   \

          |________\

          | Shadow

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Peter had no money left to give to his children and each child received $0.

Let's start by finding the amount of money Peter had initially:

Initial money = Money is given to wife + Money spent on TV + Remaining money

Initial money = $1400 + $400 + Remaining money

Initial money = $1800 + Remaining money

Next, we need to find the amount of money Peter had left after giving $1400 to his wife and spending $400 on a TV set:

Remaining money = Initial money - Money is given to wife - Money spent on TV

Remaining money = ($1800 + Remaining money) - $1400 - $400

Remaining money = $1800 + Remaining money - $1800

Remaining money = $0

This means that Peter spent all his money on his wife and the TV set, so he had no money left to give to his children.

Therefore, each child received $0.

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The corrected function that represent the height of the plant is h(s) = 0.004s + 37.

Using the provided growth rate, the plant's height, h, can be described as a function of the number of hours of sunshine, s:

h(s) = 0.004s + 37

This function indicates that the plant's height increases by 0.004 millimeters every hour of sunlight, starting at a height of 37 cm.

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Answer:

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

Given is the absolute value function.

It has no domain restriction but the range is not negative.

It can be shown as:

The measure of the unknown angle or arc are 142 degrees, 65 degrees and 36 degrees

Figure 1

The measure of the angle is calculated as

Angle 1 = 1/2 * 284 degrees

Evaluate the expression

Angle 1 = 142 degrees

Figure 2

The measure of the angle is calculated as

Angle 1 = 1/2 *(72 + 58) degrees

Evaluate the expression

Angle 1 =  65 degrees

Figure 3

The measure of the angle is calculated as

Angle 1 = 1/2 *(138 - 66) degrees

Evaluate the expression

Angle 1 = 36 degrees

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Answer:

The third one is rectangular pyramid.

Step-by-step explanation:

The third one is rectangular pyramid because it has a rectangle on the bottom.

Answer:the product of - 3/8 and - 4/12 is 0.125.

Nate is a supply-sider economist. As such, Nate predicts that the deregulation of industries would result in increased economic growth, efficiency, and productivity.

Supply-side economics is an economic theory that focuses on policies aimed at stimulating economic growth and productivity by focusing on the supply side of the economy.

It emphasizes the importance of factors such as tax cuts, deregulation, and incentives for businesses and individuals to promote investment, production, and innovation.

Supply-side economists believe that by reducing barriers and costs for businesses, such as lowering taxes and reducing regulations, there will be increased incentives for economic activity, leading to higher output, job creation, and overall economic prosperity.

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Answer:

To find the value of x, we need to add up all the sides of the shape and set them equal to the perimeter:

x + 9 + x + 2 + x + 6 + 2x - 4 = 94

Combining like terms, we get:

5x + 13 = 94

Subtracting 13 from both sides, we get:

5x = 81

Dividing both sides by 5, we get:

x = 16.2

Therefore, the value of x is 16.2 cm.

Step-by-step explanation:

In the current market, investors must take a number of factors and problems into account. wide-ranging financial market categories, such as equities and bonds.

We have,

An investor is someone or anything who makes investments in other people or things with the intention of profiting from them in the future. Everyone who makes a financial commitment to something qualified as an investor by definition.

We have,

A individual or a company that utilizes its own funds or funds borrowed from other people with the goal of creating a profit is an investor. Investors might include individuals who purchase stocks online from the comfort of their own home or multibillion dollar funds that invest around the globe.

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complete question:

How are an investor today and an

investor of the 1920s similar

concerning investments in the

stock market?

They both have the

same number of

companies to choose

from when investing.

They both use

electronic methods to

directly purchase stock

in a particular

company.

They both are

guaranteed profits in

the stock market.

They know that when

the company they have

Answer:

(a) Average rate of change of volume during the 60 seconds it takes to empty: -9 m^3/s

(b) Volume of the balloon after 40 seconds: 270 m^3

(c) Instantaneous rate of change of volume at 40 seconds: -67.5 m^3/s

Step-by-step explanation:

(a) The average rate of change of volume during the 60 seconds it takes to empty can be calculated by finding the change in volume over the change in time:

Average rate of change = (V(60) - V(0)) / (60 - 0)

where V(60) is the volume of the balloon at 60 seconds and V(0) is the volume at 0 seconds. Substituting these values into the equation V(t) = 540(1 - t/60)^3, we get:

V(60) = 0

V(0) = 540

So, the average rate of change of volume is:

Average rate of change = (0 - 540) / (60 - 0) = -9 m^3/s

(b) The volume of the balloon after 40 seconds can be found by substituting t = 40 into the equation V(t) = 540(1 - t/60)^3:

V(40) = 540(1 - 40/60)^3 = 270 m^3

Therefore, the volume of the balloon after 40 seconds is 270 m^3.

(c) The instantaneous rate of change of volume at 40 seconds can be found by taking the derivative of the volume function with respect to time:

dV/dt = -540(3/60)(1 - t/60)^2

Substituting t = 40 into this equation, we get:

dV/dt | t=40 = -540(3/60)(1 - 40/60)^2 = -67.5 m^3/s

Therefore, the instantaneous rate of change of volume at 40 seconds is -67.5 m^3/s.