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Pepsi [2]
3 years ago
7

\div \sqrt{3} " alt=" \sqrt{21 } \div \sqrt{3} " align="absmiddle" class="latex-formula">
Mathematics
1 answer:
melamori03 [73]3 years ago
6 0

Answer:

\sqrt{7}

Step-by-step explanation:

Using the rule of radicals

\sqrt{\frac{a}{b} } ⇔ \frac{\sqrt{a} }{\sqrt{b} }

\frac{\sqrt{21} }{\sqrt{3} } = \sqrt{\frac{21}{3} } = \sqrt{7}


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An account with an initial balance of $4,000.00 and a 3% interest rate has a balance of $4,121.66 at the end of one year. What i
Gekata [30.6K]

The effective annual yield is 3.04%

What is effective annual yield?

Effective annual yield is the rate of return that considers the frequency of compounding, in other words, the number of times in a year that interest on the balance is compounded.

The easiest way to determine the effective annual yield in this case is to compare the end of the year balance with the initial balance at the start of the year

effective annual yield=(ending balance/initial balance)-1

ending balance=$4,121.66

initial balance=$4000

effective annual yield=($4,121.66/$4000)-1

effective annual yield=3.04%

Another way to determine the effective annual yield is use the below formula which considers that interest rate is 3% compounded monthly, in other words, n, the frequency of compounding is 12

EAR=(1+r/n)^n-1

r=3%

n=12

EAR=(1+3%/12)^12-1

EAR=3.04%

Find out more on effective annual yield on :brainly.com/question/3125221

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6 0
2 years ago
Simplify the expression 3(x-2)+5
Semenov [28]

Answer: 3x-1

Step-by-step explanation:

3(x-2)+5 you distribute the 3 to (x-2) then you get 3x-6+5 then you add the -6+5 which is one... so the answer is 3x-1

8 0
3 years ago
Read 2 more answers
When a new machine is functioning properly, only 4% of the items produced are defective. Assume that we will randomly select two
erastovalidia [21]

Answer:

For each part selected, the probability of a defective part being produced must be 0.04.

The parts must be selected independently.

Step-by-step explanation:

For each part, there are only two possible outcomes. Either they are defective, or they are not. Each part has a 4% probability of being defective, and the probability of a part being defective is independent of other parts, that is, they are selected independently. These are the conditions under which this situation would be a binomial experiment.

So the correct answers are:

For each part selected, the probability of a defective part being produced must be 0.04.

The parts must be selected independently.

4 0
3 years ago
Question 1 (5 points)
kozerog [31]

Answer:

Hey,

so first off we need to know our equation for the area of a circle;

A=πr2

So know we plug in what we already know,

sense the diamiter we can figure out the radius (half way across) by simply dividing 18 units by 2 which  is 9.

Now we have

A=π9²

That is your answer π9²

6 0
3 years ago
Find two numbers that have a sum of 4 and a product of -5
nekit [7.7K]

Answer:

-1 and 5

Step-by-step explanation:

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