The compound interest is given by:
A=p(1+r/100)^n
where;
A=amount
p=principle
r=rate
n=time
therefore the time taken for Felicia's money to double will be:
350=175(1+4/100)^n
350/175=1.04^n
2=1.04^n
therefore introducing natural longs we get:
ln2=nln1.04
n=(ln2)/(ln1.04)
n=17.7 years
The answer is 17.7 years
For all probability exercises, the probability is always
(the number of possible 'successful' results)
divided by
(the total possible number of results).
1). Number of diamonds in the deck = 13
Total cards in the deck = 52.
Probability = (13/52) = 1/4 = 25%
2). Probability of the first one being a diamond = 1/4 .
Now there are 51 cards left, and 12 of them are diamonds.
Probability of the second one being a diamond = 12/51
Probability of both events =
(1/4) x (12/51) = 3/51 = about 5.88% (rounded)
3). First one is a diamond: 13/52
Now there are 51 cards left, and 13 of them are clubs.
Second one is a club: 13/51.
Probability of both events = (13/52) x (13/51)
= 169/2652 = about 6.37% (rounded)
4). Same logic, same solution, as #3.
5). 6.37% chance that it happens with the diamond coming up first,
6.37% chance that it happens with the club coming up first.
Probability of either one happening = 12.74% (rounded).
Answer:
The answer is in step-by-step explanation
Step-by-step explanation:
3 x + y + 3 z = 4
4 x - y + 2 z = 5
x - 2 y - z = 0
Y=1 because if you remove the y’s, you see 1.4+0.09=1.49