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3 years ago

Solve 3(4- 2) 2. Select the correct choice below an

2 answers:

8 0

Always follow PEMDAS! (please look it up if you don’t know what it means )

PEMDAS states we should do parentheses first, so 4-2 equals 2!

Next, we need to multiply. 2 times 3 equals 6. The answer is 6!

hope this helps!!

Gnoma [55]3 years ago

4 0

Answer:

Step-by-step explanation:

3(4-2) distribute 3

12-6

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Find the principal that will yield a simple interest of Rs 9000 in 5 years at a rate of 6% per annum.

damaskus [11]

9514 1404 393

Answer:

₹ 30000

Step-by-step explanation:

The simple interest formula is ...

I = Prt . . . . . . principal P invested at rate r for t years

Fill in the values you know, and solve for the one you don't know.

9000 = P(0.06)(5)

9000/0.30 = P = 30000

The principal that will give ₹9000 in interest is ₹30000.

4 0

3 years ago

Read 2 more answers

How to get the answers?

beks73 [17]

By inclusion/exclusion,

$n(P' \cup Q) = n(P') + n(Q) - n(P' \cap Q)$

We have

$n(\xi) = n(P) + n(P') \implies n(P') = 28 - n(P)$

so that

$n(P' \cup Q) = (28 - n(P)) + n(Q) - 2n(P) = 28 - 3n(P) + n(Q)$

Now,

$n(\xi) = 28 \implies n(P \cup Q) = 28 - 7 = 21$

and by inclusion/exclusion,

$n(P \cup Q) = n(P) + n(Q) - n(P \cap Q)$

Decompose $Q$ into the union of two disjoint sets:

$Q = (P \cap Q) \cup (P' \cap Q)$

Since they're disjoint,

$n(Q) = n(P\cap Q) + n(P'\cap Q) \implies n(Q) = n(P\cap Q) + 2n(P)$

$\implies n(P \cup Q) = n(P) + (n(P\cap Q) + 2n(P)) - n(P \cap Q)$

$\implies 21 = 3n(P)$

$\implies n(P) = 7$

From the Venn diagram, we see there are 3 elements unique to $P$ - by the way, this is the set $P \cap Q'$ - so $n(P\cap Q) = 7-3 = 4$ , and it follows that