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Reika [66]
3 years ago
10

Write the following expression in radical form

Mathematics
1 answer:
zlopas [31]3 years ago
8 0

Answer:

See below

Step-by-step explanation:

<u>Write the following expression in radical form </u>

  • (8x)¹/² = \sqrt{8x}

<u>Write the following expression in exponential form. </u>

  • <u />\sqrt{19} = 19¹/²
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A company that accepts credit cards is charged $0.02 a transaction in
hjlf

this is money, it would <u>technically</u> be $574.20.

But we have to remember that, for your question, you also have a $0.02 Ah, precentages. <em>Gotta love 'em.</em>

<em />

Remember that when you want to find how much to take away from something (When you know the percentage that you need to take off), you have to move the decimal two spots to the left, meaning that 21% becomes .21, 4% becomes 0.04, and 112% becomes 1.12. A good way to remember this is by looking at the two dots on the percentage sign, and relating the two dots to the two spots you need to move the decimal by.

Knowing this we can now move on.

To find out how much to take away from something (E.G: 10% of 50 or 54% of 4300), we first need to move the decimal from our percentage. Once we've done that, we're almost ready. Now, we need to multiply <em>w</em> by <em>x</em> to get <em>y</em> and eventually get <em>z</em> (Where <em>w</em> is the number we need to take away from, <em>x</em> is the percentage after we had moved the decimal, and <em>y</em> is the number we need to subtract from <em>w</em> to get <em>z</em>, which is our number after the precentage has been taken out of it.

So,

<em>w</em> * <em>x</em> = <em>y</em> then <em>w</em> - <em>y</em> = <em>z</em>

580 * 0.01 = 5.8 then 580 - 5.8 = 574.2

But since this is money, remember that this can also be expressed as $574.20

<h2><u><em>BUT WAIT!!!!</em></u></h2><h3>We can't stop here, because we are trying to figure out how much gets added onto <u>the transaction</u>, <u><em>not</em></u> how much the transaction would be taxed <u>if</u> they were removed <em>y</em>.</h3>

Meaning, that the answer is actually 585.82, because 580 * 0.01 = 5.8 then 5.8 + 0.02 = 5.82 then  580 + 5.82 = 585.82 ($0.02 being the charge applied to every transaction.)

So, the answer should be $585.82

4 0
3 years ago
A tuition scale for a state university shows an increase of $1,100 each year. If the initial cost was $27,000. What will the cos
oksian1 [2.3K]

If each years cumulate an increase of 1100 dollars, then the cost after 22 years will be the base cost (27000) plus 22 increases (22*1100), for a total of

27000 + 22\cdot 1100 = 27000 + 24200 = 51200

This relates to arithmetic series as follows: a series is arithmetic if, given a starting element x_0, every next element is given by adding a fixed number, called common difference, r. So, the first terms are

  • a_0 = x_0
  • a_1 = x_0 + r
  • a_2 = x_1 + r = (x_0+r) + r = x_0 + 2r
  • a_3 = x_2 + r = (x_0+2r) + r = x_0 + 3r
  • a_4 = x_3 + r = (x_0+3r) + r = x_0 + 4r

So, you can see that the element x_n is obtained by adding n times the common ratio to the starting element.

Since the element a_n represents the cost after n years, we are interested in the element

a_{22} = x_0 + 22r = 27000 + 22\cdot 1100 = 512000

As we had already calculated.

7 0
3 years ago
A city library has 9440 non-fiction books The Librarian wants to divide the books evenly among easy 80 shelves How many books wi
gulaghasi [49]

118 book on each shelf 9440 divided by 80=118

3 0
3 years ago
Read 2 more answers
You are on a road trip and need to travel 300 km. The speed limit is 80 km/hr. How
notsponge [240]

Answer:

3 3/4 or 3.75 hours.

Step-by-step explanation:

If you need to travel 300 km, assuming you are going at the speed limit, you take the total amount and divide it by that.

300 / 80 = 3.75 hours

3 0
4 years ago
You have an account that starts at $2500 with an interest rate of 3.25% compound yearly. How much is in the account after 10 yea
SSSSS [86.1K]

Answer:3,312.50

Step-by-step explanation:1. We assume, that the number 2500 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 2500 is 100%, so we can write it down as 2500=100%.

4. We know, that x is 3.25% of the output value, so we can write it down as x=3.25%.

5. Now we have two simple equations:

1) 2500=100%

2) x=3.25%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

2500/x=100%/3.25%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

8 0
3 years ago
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