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Ivanshal [37]
3 years ago
8

What is the exact volume of a sphere with a diameter of 18 cm?

xFormula1" title=" \pi " alt=" \pi " align="absmiddle" class="latex-formula">cm3
Mathematics
1 answer:
Vesna [10]3 years ago
6 0
Sphere Volume =  <span>( <span>π <span>•diameter^3) / 6
</span></span></span>
Sphere Volume =  3.14159 * 18^3 / 6

Sphere Volume =  3.14159 * <span> <span> <span> 5,832 </span> / 6

</span></span>Sphere Volume =  3.14159 * 972

Sphere Volume =  <span> <span> <span> 3,053.63 </span> </span> </span>
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Paul has $40000 to invest. His intent is to earn 9% interest on his investment. He can invest part of his money at 6% and part a
Black_prince [1.1K]

Paul needs to invest $10000 at 6% interest and $30000 at 10% interest to make a total of 9% return on his $40000.

<em><u>Explanation</u></em>

Suppose, the amount of money at 6% interest is x

As Paul has total $40000 to invest, so the amount of money at 10% interest will be: (40000-x) dollar

His intent is to earn 9% interest on his $40000 investment. So, the equation will be......

0.06x+0.10(40000-x)=0.09*40000\\ \\ 0.06x+4000-0.10x=3600\\ \\ -0.04x=3600-4000=-400\\ \\ x=\frac{-400}{-0.04}=10000

So, Paul needs to invest <u>$10000 at 6% interest</u> and ($40000- $10000) or <u>$30000 at 10% interest </u>to make a total of 9% return on his $40000.

3 0
3 years ago
Read 2 more answers
If a trapezoid with 9.00-cm and 12.00-cm bases has an area of 68.25 cm2, what is its height to the nearest hundredth?
Lapatulllka [165]
I hope this helps you



68,25=(9+12).h/2


2.68,25=21.h


136,5/21=h


h=6,5
4 0
3 years ago
URGENT please help me with this !!!
marin [14]

Answer:

480 mm³

Step-by-step explanation:

The volume (V) of a pyramid is

V = \frac{1}{3} area of base × height, hence

V = \frac{1}{3} × 96 × 15 = 32 × 15 = 480

5 0
3 years ago
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Sergio039 [100]

Answer:

144

Step-by-step explanation:

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When a water-cooled nuclear power plant is in operation, oxygen in the water is transmuted to nitrogen-17. After the reactor is
wolverine [178]

Answer:

The differential equation is \frac{dR}{dt} = -kR

Step-by-step explanation:

Differential equation for the rate of change in radiation level:

Radiation level is R.

Rate of change indicates that the radiation level R varies in function of time t, which mathematically means that we have:

\frac{dR}{dt}

After the reactor is shut down, the radiation from the nitrogen-17 decreases in such a way that the rate of change in the radiation level is directly proportional to the radiation level.

Rate of change is k. Decreases means that k is negative. Proportional to the radiation level of R means that -k multiplies R. So the differential equation is:

\frac{dR}{dt} = -kR

7 0
3 years ago
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