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shtirl [24]
1 year ago
9

In preparing for holiday festivities, confetti is stuffed into decorative spherical containers. Each container has a diameter of

12 inches. Approximately how much space does each canister need filled with confetti?
A
452 in3

B
509 in3

C
905 in3

D
7,238 in3
Mathematics
1 answer:
professor190 [17]1 year ago
5 0

Answer:

C. 905 in³

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, sphere

We know that the volume of a sphere is expresses as

V= 4/3πr³

Given that the diameter of the sphere is 12inches

Radius r= 12/2= 6 inches

Substituting our radius we can solve for the volume

V=4/3(3.142*6³)

V= (4*3.142*216)/3

V= 2714.68/3

V= 904.9in³

Approximately V= 905in³

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Given :

Liam has a bag of b beads.

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To Find :

Write an expression that represents the number of beads on each necklace.

Solution :

Number of necklace remains after giving 20 beads to his sister is ( b - 20 ).

Number of beads on each necklace using all of the remaining beads  is :

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suppose you could make a single "lump sum" deposit of $3679, in an investment that provides an annual percentage rate(apr) of 4%
yaroslaw [1]

Answer:

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Step-by-step explanation:

The compound interest formula is equal to  

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where  

A is the Final Investment Value  (future value)

P is the Principal amount of money to be invested  

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Logan starts an IRA (Individual Retirement Account) at the age of 28 28 to save for retirement. He deposits $400 $ ⁢ 400 each mo
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Answer:

A) Total amount deposited over the length of investment = $177600

B) Interest accrued upon retirement = $1,043,678.01

Step-by-step explanation:

From the question, we can see that he started the savings at the age of 28 and ended when he retired at the age of 65. Thus, number of years = 65 - 28 = 37 years

We are told he deposited $400 each month and that upon retirement it had grown to $1,161,278.01.

Since he deposited $400 each month, in a year which has 12 months, he deposited;

Amount deposited each year = 12 × 400 = $4800

Now, it took 37 years before he retired which was the point at which he stopped the deposit.

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Total Amount deposited upon retirement = Amount deposited each year × number of years he deposited.

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Answer:

Step-by-step explanation:

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