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GuDViN [60]
3 years ago
13

The difference between simple interest and compound interest on a certain sum of money at 20% per annum for 2 years is 48. Find

the principle.
Please help
Mathematics
1 answer:
stiv31 [10]3 years ago
6 0
It will be $68.33:

A-I=P(1+r/n)^(nt)-Prt

$48=P{(1+r/n)^(nt)-rt}

p=$48/{(1+.2/1)^(2)-.2*2)= $68.33


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A market surveyor wishes to know how many energy drinks teenagers drink each week. They want to construct a 98% confidence inter
frosja888 [35]

Answer:

The minimum sample size required to create the specified confidence interval is 1024.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.98}{2} = 0.01

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.01 = 0.99, so z = 2.327

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

What is the minimum sample size required to create the specified confidence interval

This is n when M = 0.08, \sigma = \sqrt{1.21} = 1.1.

M = z*\frac{\sigma}{\sqrt{n}}

0.08 = 2.327*\frac{1.1}{\sqrt{n}}

0.08\sqrt{n} = 2.327*1.1

\sqrt{n} = \frac{2.327*1.1}{0.08}

(\sqrt{n})^{2} = (\frac{2.327*1.1}{0.08})^{2}

n = 1024

The minimum sample size required to create the specified confidence interval is 1024.

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3 years ago
What is the value of 3 in the number 235,178???
Fantom [35]

Answer:

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Step-by-step explanation:

Set the other digits to zero to obtain your answer:

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The value of the 3 is 30,000.

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It is in the "ten-thousands" place, so represents 3 ten-thousands, or thirty thousand.

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il63 [147K]

Answer:

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Step-by-step explanation:

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The diameter is 312 inches

Changing to ft

312/12 =26 ft

Dividing by 2 to get the radius

26/2 = 13 ft

LSA=2πrh

Using 3.14 for pi

245 ft^2 = 2 * 3.14* 13 ft * h

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Divide each side by 81.64

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3 = h

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