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Schach [20]
3 years ago
8

Mr. McMurray wants to buy a new car. Last year the sticker price on the model he wanted was $12,800. This year the price is $14,

720. By what percent did the price increase during the past year?
Mathematics
1 answer:
Evgesh-ka [11]3 years ago
4 0

Answer:

15% increase

Step-by-step explanation:

It increases by $1920 which is 15%

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Select the statements that are true based on the following given information. D = {x | x is a whole number} E = {x | x is a perf
likoan [24]
<h3>2 Answers: Choice C and Choice D</h3>

==========================================================

Explanation:

Let's write the roster notation of each set

D = {0, 1, 2, 3, ...} the dots indicate the pattern goes on forever

E = {0, 1, 4, 9, 16, 25} = list of perfect squares smaller than 36

F = {20, 22, 24, 26, 28, 30} = even numbers between 20 and 30

----------------

If we intersect sets D and E, we're looking for what numbers are in both sets at the same time. Therefore, D ∩ E = {0, 1, 4, 9, 16, 25} which is the exact same as set E. This is because all of set E is inside of set D. We say that set E is a subset of set D. So, D ∩ E = E.

Choice A is very close to being true. The problem is that 25 is missing from the set {1,4,9,16}. So this is why choice A is false.

----------------

Now let's intersect sets D and F. The numbers they have in common are {20, 22, 24, 26, 28, 30} which is exactly what set F is. So set F is a subset of set D. We can write D ∩ F = F in much the same way we can say D ∩ E = E.

D ∩ F = {12,14,16,18} is not true. A number like 12 is not between 20 and 30, so it cannot be in set F.

Choice B is false so we cross it off the list.

----------------

Choice C is true and here's why

D ∪ (E ∩ F) is the same as saying D ∪ G where G is the set of intersecting E and F together. In other words, G = E ∩ F

We don't really need to even worry about sets E, F or G. All that matters here is set D.

When we write D ∪ (E ∩ F) or D ∪ G, we're saying "a number is in set D, or it is in set G". If it is in D, then it's a whole number. Otherwise, it's in a subset of whole numbers.

Overall, D ∪ G and D ∪ (E ∩ F) form the entire set of whole numbers.

------------------

Choice D is true.

E and F have nothing in common

E = {0, 1, 4, 9, 16, 25}

F = {20, 22, 24, 26, 28, 30}

So intersecting them leads to the empty set. This is the set with nothing inside it, not even 0.

------------------

Choice F is false

These two sets below

E = {0, 1, 4, 9, 16, 25}

F = {20, 22, 24, 26, 28, 30}

union together to get

H = {0,1,4,9,16,20,22,24,25,26,28,30}

just toss all of the numbers together into one big set

Notice how each of these numbers are whole numbers, so they are part of set D. This means set H is also a subset of set D.

When we intersect sets D and H, we end up with set H. We do not simply end up with the set with 25 only inside it.

6 0
3 years ago
A plane is flying at 31,348 feet. It needs to rise to 36,000 feet in two stages
sp2606 [1]
Answer: about 22 minutes
Explanation: its hard to explain but trust me i checked my work
7 0
3 years ago
It was 38 kilometers from the encampment to the castle. Milton galloped to the castle and cantered back. If the round trip took
mario62 [17]
1) yes
2) no
3) a. yes
b. no
3) you have two question #3's...
4) Do your own homework
6 0
3 years ago
I need to determine each angles measure. M 4<br><br> M 6
Ulleksa [173]
By geometrical inspection we have:
 M4 = 30
 Then the angle M6 can be determined from the fact that you have a rectangle triangle (345) that has an angle of 90 and another of 30. The missing angle measures:
 180-90-30 = 60 = M3
 Then to find M6 we have
 M3 + 60 + M6 = 180
 M6 = 180-60-M3
 M6 = 180-60-60
 M6 = 60
 answer:
 M4 = 30
 M6 = 60
7 0
3 years ago
First gets brainliest! Please and thanks you :)
erma4kov [3.2K]

Answer:

Its B

Step-by-step explanation:

93000000 times 2/5 is 37200000 aka 3.72 times 10 to the 7th power

3 0
3 years ago
Read 2 more answers
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