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erastova [34]
3 years ago
8

PLEASE SHOW FULL SOLUTIONS!! Will Mark Brainliest for the best answer. The radius of a spherical balloon is 3.5 cm. What is the

volume of air in the balloon? Show your answer in terms of pi or round your answer to one decimal place.
THANKS
Mathematics
1 answer:
Vladimir79 [104]3 years ago
7 0

9514 1404 393

Answer:

  343π/6 cm³ ≈ 179.6 cm³

Step-by-step explanation:

The formula for the volume of a sphere is one of the volume formulas worth memorizing. It is ...

  V = (4/3)πr³

For r = 3.5 cm, the volume is ...

  V = (4/3)π(3.5 cm)³ = 343π/6 cm³ ≈ 179.6 cm³

The volume of air in the balloon is about 179.6 cm³.

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Brilliant_brown [7]

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Kylie owes $1,700 on her credit card. The bank charges a monthly interest rate of 0.925%. If Kylie wants to pay off her credit c
aksik [14]

Answer:

$221.44

Step-by-step explanation:

As the bank charges a <em>monthly </em>interest, we cannot calculate a simple or compound interest over the 8 month period.  As the balance will decrease each month as Kylie makes payments, the interest applied each month will also decrease.  Therefore, we have to use:

<u>Monthly Payment Formula</u>

\sf PMT=\dfrac{Pi(1+i)^n}{(1+i)^n-1}

where:

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Given:

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Substituting the given values into the formula and solving:

\implies \sf PMT=\dfrac{1700(0.00925)(1+0.00925)^8}{(1+0.00925)^8-1}=221.4403207

Therefore, the monthly payment to the nearest dollar will be $221.44

7 0
2 years ago
Solve x2 + 10x = -21.
Arisa [49]
Answer is x = -7 and x = -3

<span> x2 + 10x = -21
</span><span> x2 + 10x + 21 = 0
</span>(x +3) (x +7) = 0

(x +3) = 0
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8 0
4 years ago
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Goryan [66]

Answer:

See below

Step-by-step explanation:

(a) 4x - 22 = 74

(b) \dfrac{74 + 22}{4}

(c) 24

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A(n) = -5 = 6(n-1)<br> Find the 12th<br> term in the sequence.
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Step-by-step explanation:

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