1) number of cards that aren't : number of cards that are 3
we have 48 cards that arent 3 and 4 cards that are. that means that odds are:
12:1 of not drawing 3
2) fallow same logic. its just opposite.
1:12
3) same logic. but there are only 2 black 7 cards which means that odds are:
50:2 or
25:1
4) opposite of previous.
1:25
{-2x+y=12 => y=12+2x
{3x+2y=38
3x+2(12+2x)=38
3x+24+4x=38 /-24
7x=14 /:7
x=2
y=12+2*2=12+4=16
y=16
<em>Solution: (2; 16)</em>
<em>
</em>
Answer:
vol of cylinder = πr²h , sorry I cant do it out atm , hope this helps
Answer: The correct option is C
Step-by-step explanation:
You begin a job with an annual salary of $32,900
Each year you are assured of a 5.5%. If you get the same amount each year, that is a 100% payment. It is neither reducing nor increasing. But with an increase of 5.5% each year, it means you are getting (100+5.5)% each year. This equals 105.5%. So for each year, you get 105.5% of the previous year.
This is a geometric progression. To determine the total amount that you can earn in 15 years, we will find the sum of 15 terms, S15 of the series. The formula for sum of the nth term of a geometric progression is expressed as
Sn = [a(r^n - 1)] / r - 1
Where
Sn = sum of the nth terms of the series
a = the first term(salary of the first year
r = common ratio
n = number of years.
From the question,
a = 32900
n = 15
r = 105.5/100 = 1.055
S15 = [32900(1.055^15 - 1)] / 1.055 - 1
S15 = [32900(2.23247649224 - 1)] / 0.055
S15 = [32900 × 1.23247649224] / 0.055
S15 = $737245
Answer:
c
Step-by-step explanation: