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kakasveta [241]
1 year ago
13

What is the sale price of a phone that was originally $199 but that has been marked down by 15 percent? $159.15 $159.20 $169.10

$169.15
Mathematics
1 answer:
dsp731 year ago
5 0

Answer:

169.15 is the correct answer

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In the diagram, P1P2 and Q1Q2 are the perpendicular bisectors of line AB and BC , respectively. A1A2 and B1B2 are the angle bise
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I hope I can show the image, but I hope this may help you, the answer is:

The center of the inscribed circle of ΔABC is <u>point S</u> , and the center of the circumscribed circle of ΔABC is <u>point P.</u>
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2 years ago
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A sphere has a radius of 16 in. Which statements about the sphere are true? Check all that apply.
Wewaii [24]

Answer:

  • The sphere has a diameter of 32 in. CORRECT: the diameter of a sphere doubles its radio, so if the radio equals 16,the diameter measures the double, in this case, 32.
  • The radius' lenght is one half the length of the diameter. CORRECT: , by definition, the diameter is the maximum distance between two opposite points on the surface of the sphere, and its lenght equals twice the radius because the radius is the distance between the center of the sphere and any point of the frontier of the sphere (then, one colud imagine that the distance between two opposite points in a sphere can be united by two radius, or a diameter).
  • The volume (V) of a sphere can be calculated as \frac{4\pi r^3}{3}, where r is the radio. In this case, the volume of the sphere will be \frac{4\pi\times16^3}{3}=\frac{4\pi\times4096}{3}, which is also equal to \frac{16384\times\pi}{3}.

6 0
2 years ago
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A. The average yearly salary of a lawyer is $24 thousand less than twice that of an architect.
erastovalidia [21]

Answer:

The average yearly salary of  the architect is <u>$62,000</u> and the lawyer is <u>$100,000</u>.

Step-by-step explanation:

Given:

The average yearly salary of a lawyer is $24 thousand less than twice that of an architect.

Combined, an architect and a lawyer earn $ 210 thousand.

Now, to find the average yearly salary of  an architect and a lawyer.

Let the average yearly salary of  an architect be x.

So, the average yearly salary of  the lawyer = 2x-24,000.

Combined, architect and lawyer earn = \$210,000.

Now, to get the average salary of the architect and lawyer:

x+(2x-24000)=210000

x+2x-24000=210000\\\\3x-24000=210000

<em>Adding both sides 24000 we get:</em>

3x=186,000\\\\Dividing\ both\ sides\ by\ 3\ we\ get:\\\\x=62000.

<u>The average salary of architect = $62,000.</u>

Now, to get the average salary of lawyer by substituting the value of x:

2x-24000\\\\=2(62000)-24000\\\\=124000-24000\\\\=\$100,000.

<u>The average salary of lawyer = $100,000.</u>

Therefore, the average yearly salary of  the architect is $62,000 and the lawyer is $100,000.

4 0
2 years ago
A Gardener makes a new circular flower bed. The bed is ten feet in diameter. Calculate the circumference and the area of the cir
aivan3 [116]

Answer:

The circumference is 31.42 and the area is 78.54

Step-by-step explanation:

For circumference you use the formula

C=2 r

R= radius and = 3.14

For area use the formula

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I hope this helps

6 0
1 year ago
You wanted to join a booth fair, and you are aiming to get a profit that is twice as
sashaice [31]

You wanted to join a booth fair, and you are aiming to get a profit that is twice as  your capital. Using the given information, your sample plan may be as follows:

Product                   Organic skincare products for women

Description             An organic skincare cream and soap that brightens

                                 and moisturizes your skin.

Goal                          To provide anti-aging skin for women and

                                  maintaining  their skin body.

Capital                      15000

Fixed Cost                  7000

Variable Cost             8000

Profit function            300(a) = 450a - 150a

To prove that the profit function will yield twice the capital.

This profit function: 300(y) = 450y - 150y will help achieve twice profit as your capital.

Profit function = revenue function r(y) - cost function c(y)

300(y) = 450y - 150y

where;

  • y = no of units produced and sold.
  • p = profit sold per unit

Cost function C(y) = fixed cost + (variable cost) × (amount of unit sold)

Assumption:

Cost function C(y) = 7000 + (80 × 100)

Cost function C(y) = 7000 + 8000

Cost function C(y) = 15000

Revenue function R(y) = price per revenue sold × no of sold units

R(y) = 450 × 100

R(y) = 45000

∴

Profit function = 45000 - 15000

Profit function = 30000

Therefore, can conclude that the profit function is revenue function r(y) - cost function c(y).

Hence the formula:

Profit function = revenue function r(y) - cost function c(y)   (Proved)

Learn more about Profit function here:

brainly.com/question/16866047?referrer=searchResults

8 0
1 year ago
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