Answer:
3/13.
Step-by-step explanation:
There are 12 face cards: 3 of each of the 4 suits.
Since there are 52 cards in one deck, 12/52 = 3/13.
Step-by-step explanation:
1/5x+60=2/3x-2
subtract 1/5x from 2/3x
when you do that you should get 0.46x repeating
then you add two to 60
you should get 62
62=0.46x
divide x
you get 134.7
Answer:
2 
Step-by-step explanation:
The absolute value of a number is the value of x (the number) without a negative, 2 and a third is already positive, so that is the answer :D
Hope this helps, good luck! :)
Let

In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:

So, the base case is ok. Now, we need to assume
and prove
.
states that

Since we're assuming
, we can substitute the sum of the first n terms with their expression:

Which terminates the proof, since we showed that

as required
Answer:
$1,500,000
Step-by-step explanation:
Given
Principal = $1,000,000
Rate = 5%
Time = 10years
Interest = PRT/100
Interest = 1000000*5*10/100
Interest = 100000*5
Interest = $500,000
Amount after 10years = $1,000,000+ $500,000
Amount after 10years = $1,500,000