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Veseljchak [2.6K]
3 years ago
15

HELP PLEASE

Mathematics
1 answer:
OLEGan [10]3 years ago
3 0

Answer:

Point E on the number line represents the approximate volume of a cylinder with a radius of 4 units and height of 4 units.

Step-by-step explanation:

It is given that the radius of the cylinder is 4 units and the height of the cylinder is 4 units.

The volume of the cylinder is

V=\pi r^2h

Where, r is radius and h is height of the cylinder.

Substitute r=4, h=4, π=3.14 in the above formula.

V=(3.14)\times (4)^2\times (4)

V=200.96

The volume of  the cylinder is 200.96. Therefore, point E on the number line represents the approximate volume of a cylinder with a radius of 4 units and height of 4 units.

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lee has invested $2800 in a venture company. he receives 6.5% interest a year, compounded continuously. How long will it take hi
d1i1m1o1n [39]

Answer:

It'll take 10.6638 years to double his money.

Step-by-step explanation:

Since the invested capital is compounded continuosly we need to use the apropriate formula shown below:

M = C*e^(r*t)

Where M is the final value, C is the initial value, r is the rate of interest and t is the total time elapsed. In this case we want to  double our investment, since the amount invested was 2800, then we need to have a final value of 2*2800 = 5600. Applying these values to the formula:

5600 = 2800*e^(0.065*t)

2800*e^(0.065*t) = 5600

e^(0.065*t) = 5600/2800

e^(0.065*t) = 2

ln(e^(0.065*t)) = ln(2)

0.065*t = ln(2)

t = ln(2)/0.065 = 10.6638 years

It'll take 10.6638 years to double his money.

7 0
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