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Elena L [17]
1 year ago
7

What is the volume of this right prism? 96 in³ 60 in³ 48 in³ 44 in³

Mathematics
1 answer:
yulyashka [42]1 year ago
4 0

Answer:

96 in³

Step-by-step explanation:

Volume = 2(BHD) / 2

The 2s cancel out

Volume = 3(8)4

Volume = 96

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Based on the information, Christian would have $5525.5 of an annuity.

<h3>How to calculate the annuity?</h3>

According to the given information, the number of coffees per week is 3 then, per month is 3x4 = 12

Each coffee is $4.5. Then monthly expenditure for coffees is 12 x 4.5 = $54

Rate of interest r = 1.6% = 1.6/100 = 0.016 and for monthly compounding r = 0.016/12 = 0.00133

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We can use the formula for finding the future value as below

FV = C x [ ( 1 + r )n-1 ] / ( r )

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= 54 x [ (1.13609 - 1)] / (0.00133)

= 54 x 0.13609 / (0.00133)

= 54 x 102.3233

= 5525.5

Therefore Christian would have $5525.5 of the annuity.

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2 years ago
What is the volume of a hemisphere that
ch4aika [34]

<u>Given</u>:

Given that the diameter of the hemisphere is 12.6 cm

The radius of the hemisphere is given by

r=\frac{d}{2}=\frac{12.6}{2}=6.3

We need to determine the volume of the hemisphere.

<u>Volume of the hemisphere:</u>

Let us determine the volume of the hemisphere.

The volume of the hemisphere can be determined using the formula,

V=\frac{2}{3} \pi r^3

Substituting the values, r = 6.3 and π = 3.14, we have;

V=\frac{2}{3} (3.14)(6.3)^3

Simplifying the values, we have;

V=\frac{2}{3} (3.14)(250.047)

V=\frac{1570.29516}{3}

Dividing, we have;

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Rounding off to the nearest tenth, we get;

V=523.4

Thus, the volume of the hemisphere is 523.5 cm³

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