Rebekah manages a yoga studio that charges each customer a one-time initial fee of \$35$35dollar sign, 35 and an additional fee

Answer:

Part A)

Part B)

Step-by-step explanation:

Part A)

We start with the formula for the cylinder's volume:

To solve for height (h), isolate h on one side.

Divide both sides by π times r squared (πr²):

Simplify the expression:

Rewrite the formula accordingly:

Part B) Calculate the height of a cylinder with a volume of 36π cm³ and a radius of 3 cm.

Given:

Plug values into the formula and solve for h:

Respuesta:

-0.7

Explicación paso a paso:

Puedes elegir cualquier dígito para y pero la diferencia debe ser 0.7. Elegí 1.0 y 0.3.

The stadium generates $16,250,000 annually. (Revenue)

Expenses related to football amount to $13,500,000 each year. (Cost)

Stadium operational costs are $2,700,000 per year. (Cost)

The profit margin is obtained by dividing net profit by revenue.

To calculate net profit, total costs must be subtracted from total revenue.

First, summing both costs gives the total expenses.

$13,500,000 + $2,700,000 = $16,200,000 (total cost)

Subtracting the $16,200,000 (total cost) from the $16,250,000 (revenue) results in $50,000 (net profit)

$50,000 (net profit) ÷ $16,250,000 (revenue) = 0.0030769

To convert this decimal to a percentage, multiply by 100

The current profit margin for the stadium is 0.308%

This is a useful question to answer. I believe there’s not a single place on earth that is free from some form of tax.

Tax is applicable only during transactions where money is exchanged, and it does not affect discounts.

If you decide to take the offer, the cost is determined by:

Cost for two pizzas = standard price - discount applied.

Cost for two pizzas = 2*10.50 - 2.00

Cost for two pizzas = 21 - 2

Cost for two pizzas = 19.00 dollars.

Now, you should add the sales tax to this amount. There are two methods to do this: the detailed method or the quicker method.

Detailed Method

Calculate the sales tax:

Tax = rate * total cost

Tax = (7.5/100) * 19

Tax = 1.425, don’t round yet.

Total Amount = total purchase + tax

Total Amount = 19.00 + 1.425 = 20.425. Now, round it off. The way to round when the last digit is 5 can vary; I usually round up, so my final answer would be 20.43 <<<<< This is the answer.

Quick Method

Final Cost = (Original Price - discount)*(1 + tax rate/100)

Final Cost = (21 - 2)*(1 + 7.5/100)

Final Cost = 19 * (1.075)

Final Cost = 20.425, which rounds to 20.43.

Refer to the attached diagram for a clearer understanding of the issue

we can determine that

Step 1

Calculate the length of AC

we know that

in the right triangle ABC

put the values into the formula

Step 2

Now evaluate the length of BC

in the same triangle ABC

Applying the Pythagorean Theorem

substituting the values

Determine the length of BD

we know that

in the right triangle BCD

Using the Pythagorean Theorem

put in the values

therefore

the conclusion is

the length of BD measures 11.93 units