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3 years ago

11

The number of different cars sold in some country rose from 210 in 1997 to 277 in 2007. Find the percent increase. Round to the

nearest whole percent.

1 answer:

Virty [35]3 years ago

4 0

Find percent increase by subtracting the amounts and dividing it by the old amount, then multiply the result by 100 to make it a percent.

Increase= (277-210)/210

67/210

Then it ends up as 0.319047619...

Multiply that by 100 to make it a percent, which is..

31.9047619..

Round it off, and you get..

32%!

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Prove the following DeMorgan's laws: if LaTeX: XX, LaTeX: AA and LaTeX: BB are sets and LaTeX: \{A_i: i\in I\} {Ai:i∈I} is a fam

MariettaO [177]

$X-(A\cup B)=(X-A)\cap(X-B)$

I'll assume the usual definition of set difference, $X-A=\{x\in X,x\not\in A\}$ .

Let $x\in X-(A\cup B)$ . Then $x\in X$ and $x\not\in(A\cup B)$ . If $x\not\in(A\cup B)$ , then $x\not\in A$ and $x\not\in B$ . This means $x\in X,x\not\in A$ and $x\in X,x\not\in B$ , so it follows that $x\in(X-A)\cap(X-B)$ . Hence $X-(A\cup B)\subset(X-A)\cap(X-B)$ .

Now let $x\in(X-A)\cap(X-B)$ . Then $x\in X-A$ and $x\in X-B$ . By definition of set difference, $x\in X,x\not\in A$ and $x\in X,x\not\in B$ . Since $x\not A,x\not\in B$ , we have $x\not\in(A\cup B)$ , and so $x\in X-(A\cup B)$ . Hence $(X-A)\cap(X-B)\subset X-(A\cup B)$ .

The two sets are subsets of one another, so they must be equal.

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The proof of this is the same as above, you just have to indicate that membership, of lack thereof, holds for all indices $i\in I$ .

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3 years ago

The manufacturer offers a $125 rebate on photocopiers purchases before january 1. what is the nest cost of a $1,475 photocopier

Yuri [45]

Answer:

The net cost of the photocopier before january 1 is <u>$1350.</u>

Step-by-step explanation:

Given:

The manufacturer offers a $125 rebate on photocopiers purchases before january 1.

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Amount of rebate before January 1 = $125.

Cost of photocopier = $1,475.

So, to get the net cost of $1475 photocopier before january 1 we subtract the rebate from it:

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Therefore, the net cost of the photocopier before january 1 is $1350.

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3 years ago

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mr Goodwill [35]

Answer:

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Step-by-step explanation:

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Answer:

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