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Serhud [2]
3 years ago
11

Which of the following is an irrational number?

Mathematics
1 answer:
I am Lyosha [343]3 years ago
7 0

Hi!

<h3>An irrational number is a number that cannot be written as a ratio or a fraction. </h3><h3>Let's go through each answer. </h3>
  • A. √0.036

= 0.18973666...

<u>This is irrational, because it repeats forever.</u>

  • B. 7.2525

<u>This is rational, because 2525 repeats in a pattern.</u>

  • C. √1

= 1

<u>This is rational. (1/1)</u>

  • D. 10

<u>This is rational (10/1)</u>

<h2>The answer is A. √0.036.</h2>

Hope this helps! :)

-Peredhel

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A book store sells a textbook for $150. If the textbook is on sale with 12% off, and there is a sales tax of 8.25% added to the
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The textbook is $150 originally, so to find the price of the textbook on sale, multiply the original price by 12% (0.12). Then subtract 12% of 150 from 150.

  • 150 * 0.12 = 18

Subtract 18 from 150.

  • 150 - 18 = 132

Multiply the price of the textbook on sale by the sales tax of 8.25% (0.0825). Then add the tax price onto the sale price of the textbook.

  • 132 * 0.0825 = 10.89

Add 10.89 to 132.

  • 132 + 10.89 = 142.89

The final price of the textbook is $142.89.

4 0
3 years ago
Simplify 8 over the quantity of 2 plus 2i
Sergeu [11.5K]

Answer should be: 2 + 2i

8 0
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How to solve this algebraically?
Keith_Richards [23]
Ok so x+4-1 makes x-1 so i belive the answer could be 1/5 
7 0
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6 0
3 years ago
Alexander deposited money into his retirement account that is compounded annually at an interest rate of 7%.
anzhelika [568]
Tow rates are equivalent if tow initial investments over a the same time, produce the same final value using different interest rates.

For the annually rate we have that:
V_{0} =(1+ i_{a} ) ^{1}
Where
V_{0} = initial investment.
i_{a} = annually interest rate in decimal form.
And the exponent (1) represents the full year.

For the quarterly interest rate we have that:
V_{0} =(1+ i_{q} ) ^{4}
Where
V_{0} = initial investment.
i_{q} = quarterly interest rate in decimal form.
And the exponent (4) the 4 quarters in the full year.

Since the rates are equivalent if tow initial investments over a the same time, produce the same final value, then
(1+ i_{a} )=(1+ i_{q} ) ^{4}
Notice that we are not using the initial investment V_{0} since they are the same.

The first thin we are going to to calculate the equivalent quarterly rate of the 7% annually rate is converting 7% to decimal form
7%/100 = 0.07
Now, we can replace the value in our equation to get:
(1+0.07)=(1+ i_{q} ) ^{4}
1.07=(1+ i_{q} ) ^{4}
\sqrt[4]{1.07} =1+ i_{q}
 i_{q} = \sqrt[4]{1.07} -1
i_{q} =0.017
Finally, we multiply the quarterly interest rate in decimal form by 100% to get:
(0.017)(100%) = 1.7%
We can conclude that Alexander is wrong, the equivalent quarterly rate of an annually rate of 7% is 1.7% and not 2%.


6 0
3 years ago
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