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Elza [17]
3 years ago
9

Solve. Use a calculator as needed for evaluating formulas.

Mathematics
1 answer:
slava [35]3 years ago
8 0

Answer:

$70.22 to the nearest cent.

Step-by-step explanation:

This is a geometric series with first term 0.03 and common ratio 2.

We need to find the sum of 15 terms of this series.

S15 = 0.03 *( 2^15 - 1) / (15 - 1)

= $70.22 .

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VLD [36.1K]

Answer:

49

Step-by-step explanation:

substitute b = - 6 and c = 7 into the expression and evaluate

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What is the volume of a hemisphere with a radius of 26.7 m, rounded to the nearest tenth of a cubic meter?
attashe74 [19]

Answer:

39,865.1m^3

Step-by-step explanation:

a hemisphere is half a sphere.

And if the formula for the volume of a sphere is:

V=\frac{4\pi r^3}{3}

we must calculate the volume of the sphere and in the end divide by two to find the volume of the hemisphere.

Since the radius is:

r=26.7m

substituting this into the formula for volume:

V=\frac{4\pi (26.7m)^3}{3} \\\\V=\frac{4(3.1416)(19,034.163m^3)}{3} \\\\V=79,730.12m^3

this is the volume of the total sphere, thus the volume of a hemisphere is:

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rounding to the nearest tenth:

39,865.1m^3

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