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Neko [114]
4 years ago
6

The height of a cylinder is twice its radius. A sphere whose radius is 2 inches less than the radius of the cylinder is carved o

ut of the cylinder. If the volume of the remaining portion of the cylinder is 214π cubic inches, which statements about the cylinder’s radius, x, are true?
The equation x3 + 12x2 − 24x − 305 = 0 can be used to find the cylinder’s radius.
The equation x3 + 12x2 − 24x − 336 = 0 can be used to find the cylinder’s radius.
The radius of the cylinder is 7 inches.
The radius of the cylinder is 6 inches.
The radius of the cylinder is 5 inches.
NextReset
Mathematics
1 answer:
ozzi4 years ago
5 0
Graphing it out yields the radius of the cylinder is 5 inches.
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11 feet

Step-by-step explanation:

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7. A man makes a simple discount note for $6,200, at an ordinary bank discount rate of 8.84%, for 40 days. What is the effective
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Answer:

The effective interest rate, rounded to the nearest tenth, is 0.1%.

Step-by-step explanation:

The banker's rule is the simple interest formula.

The simple interest formula is given by:

E = P*I*t

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly) and t is the time, in years.

The effective interest rate is given by the following formula:

E_{IR} = \frac{E}{P}.

In this problem, we have that:

A man makes a simple discount note for $6,200, at an ordinary bank discount rate of 8.84%, for 40 days. We consider that the year has 360 days. This means that P = 6200, I = 0.0884, t = \frac{40}{360} = \frac{1}{9}.

So

E = 6200*0.0884*\frac{1}{9} = 60.9

The effective interest rate is

E_{IR} = \frac{E}{P} = \frac{60.9}{6200} = 0.0098 = 0.001

The effective interest rate, rounded to the nearest tenth, is 0.1%.

8 0
3 years ago
Use the distributive property to find the product
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Answer:

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2nd one: 14mn-12m

Step-by-step explanation:

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2nd one: Multiply '2m' w/ '7n' and '-6'

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Subtract -139.6 - 140.03
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Step-by-step explanation:

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After multiplying, a calculator screen displays the answer shown below. How would you write this number in standard form? Enter
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Answer:

8.234 E14=8.234 \times 10^{14}

Step-by-step explanation:

The given number is 8.234 E14

We need to write this number in standard form.

Any no is given in the standard form is given by :

N=a\times 10^b

Where

a and b is real no and integer

It means,

8.234 E14=8.234 \times 10^{14}

Hence, this is the required solution.

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3 years ago
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