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LekaFEV [45]
3 years ago
6

Match each area of a circle to its corresponding radius or diameter. area: 63.585 square meters area: 28.26 square meters area:

120.7016 square meters area: 12.56 square meters area: 482.8064 square meters area: 113.04 square meters diameter: 12.4 meters radius: 4.5 meters diameter: 6 meters radius: 2 meters
Mathematics
1 answer:
melamori03 [73]3 years ago
8 0

Answer:

Step-by-step explanation:

area = pi*radius*radius -> Radius =  \sqrt{\frac{area}{pi} }

area: 63.585 m2

   -> radius = \sqrt{\frac{63.585}{3.14} } = 4.5 m

area: 28.26m2

  -> radius = \sqrt{\frac{28.26}{3.14} } = 3m

   -> diameter = 6m

area: 120.7016m2

  -> radius = \sqrt{\frac{120.7016}{3.14} } = 6.2m

   -> diameter = 12.4m

area: 12.56m2

   -> radius = \sqrt{\frac{12.56}{3.14} } = 2m

area: 482.8064m2

   ->radius = \sqrt{\frac{482.8064}{3.14} } = 12.4m

area: 113.04 m2

   ->radius = \sqrt{\frac{113.04}{3.14} } = 6m

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asambeis [7]

Answer:

Correct answer: 1) AV = 12,290 $, 2) AV = 12,310 $, 3) AV = 12,330 $,

4) AV = 12,337 $

Step-by-step explanation:

Given:

I = 10,000$

n = 3 years

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Accumulated value of an investment is calculated with next formula:

AV = I · (1 + (p/a))ᵃⁿ  where is:

AV - accumulated value

I - investment

p - interest

a - number of calculation parts during one year as the accounting period

n - number of years as the accounting period

1) money is compounded semiannually

a = 2 and  a · n = 2 · 3 = 6

AV = I · (1 + (p/a))ᵃⁿ = 10,000 · (1 + (0.07/2))⁶ = 10,000 · 1.229 = 12,290 $

AV = 12,290 $

2) money is compounded quarterly

a = 4  and   a · n = 4 · 3 = 12

AV = I · (1 + (p/a))ᵃⁿ = 10,000 · (1 + (0.07/4))¹² = 10,000 · 1.231 = 12,310 $

AV = 12,310 $

3) money is compounded monthly

a = 12  and  a · n = 12 · 3 = 36

AV = I · (1 + (p/a))ᵃⁿ = 10,000 · (1 + (0.07/12))³⁶ = 10,000 · 1.233 = 12,330 $

AV = 12,330 $

4) money is compounded continuously

Accumulated value of an investment continuously compounded is calculated with next formula:

AV = I · eⁿᵇ   where is:

n - number of years as the accounting period

b = p = 7% = 0.07

n · b = 3 · 0.07 = 0.21

AV = 10,000 e⁰²¹ = 10,000 2.7183⁰²¹ = 10,000 1.2337 = 12,337 $

AV = 12,337 $

God is with you!!!

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How do u make 33 and one third a fraction
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3 years ago
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Step-by-step explanation:

For the first inequality, just add 3 to both sides.

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Answer:

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Step-by-step explanation:

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where we have x =we replace with 20

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Answer:

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