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pychu [463]
3 years ago
8

A circle has an area of 36pi square inches. Find the radius

Mathematics
1 answer:
zmey [24]3 years ago
6 0
<span>circle area = </span>πr²   ⇒

\pi r^2=36 \pi  \\ r^2= \frac{36 \pi }{ \pi }  \\ r^2=36 \\ r= \sqrt{36}  \\ r=6 \ in
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Answer:

Please check the explanation.

Step-by-step explanation:

a)  How much will you have at the middle of the first year?

Principle P = $300

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Time (t in years) = 0.5 years

Total amount = A = ?

Using the formula

A\:=\:P\left(1+\frac{r}{n}\right)^{nt}

substituting the values

A=300\left(1+\frac{0.06}{2}\right)^{\left(2\right)\left(0.5\right)}

A=300\cdot \frac{2.06}{2}

A=\frac{618}{2}

A=309 $

Therefore, the total amount accrued, principal plus interest,  from compound interest on an original principal of  $ 300.00 at a rate of 6% per year  compounded 2 times per year  over 0.5 years is $ 309.00.

Part b) How much at the end of one year?

Principle P = $300

Annual rate r = 6% = 0.06 per year

Compound n = Semi-Annually = 2

Time (t in years) = 1 years

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Using the formula

A\:=\:P\left(1+\frac{r}{n}\right)^{nt}

so substituting the values

A\:=\:300\left(1+\frac{0.06}{2}\right)^{\left(2\right)\left(1\right)}

A=300\cdot \frac{2.06^2}{2^2}

A=318.27 $

Therefore, the total amount accrued, principal plus interest,  from compound interest on an original principal of  $ 300.00 at a rate of 6% per year  compounded 2 times per year  over 1 year is $ 318.27.

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Answer:

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Step-by-step explanation:

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Answer:

∠CEB

Step-by-step explanation:

The vertical angle is one that is directly <em>opposite</em> to the original angle. In this image of two intersecting lines, it looks like the angle ∠CEB is directly across from our angle ∠DEA. So, the angle ∠CEB is <em>vertical to</em> ∠DEA.

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Answer:

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Step-by-step explanation:

or 2/14

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