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mixer [17]
3 years ago
13

A caterer offers five different appetizers, three different drinks and four different sandwiches. How many combinations of two a

ppetizers, two drinks and two sandwiches can Scott choose for his party
Mathematics
1 answer:
Alex73 [517]3 years ago
7 0

Answer: 180.

Step-by-step explanation:

Appetizers = 5 types

drinks = 3 types

Sandwiches = 4 types.

Solution:

This is a combination problem.

For appetizers

= 5C2

= 10.

For drinks

= 3C2

= 3.

For sandwiches

= 4C2

= 6.

No. Of combinations scot can choose for his party

= 10*6*3

= 180

Scot can choose a total of 180 combinations for his party.

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Answer:

(x + 4)² + (y + 5)² = 73

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k) = (- 4, - 5), thus

(x - (- 4))² + (y - (- 5))² = r², that is

(x + 4)² + (y + 5)² = r²

The radius is the distance from the centre to a point on the circle.

Calculate r using the distance formula

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 4, - 5) and (x₂, y₂ ) = (4, - 2)

r = \sqrt{(4+4)^2+(-2+5)^2}

  = \sqrt{8^2+3^2}

 = \sqrt{64+9} = \sqrt{73} ⇒ r² = 73, thus

(x + 4)² + (y + 5)² = 73 ← equation of circle

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3 years ago
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If the interest is compounded continuously, what interest rate do you need for a 5000 investment to double in 10 years
velikii [3]

Answer:

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We need 5,000 to become 10,000 in 10 years so,

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Source: https://www.1728.org/rate2.htm

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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stepan [7]
Val does because he covers 10.4 miles. Hope that helps.
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