Answer:
b
Step-by-step explanation:
Since we are trying to find the number of sequences can be made <em>without repetition</em>, we are going to use a combination.
The formula for combinations is:
is the total number of elements in the set
is the number of those elements you are desiring
Since there are 10 total digits, 
in this scenario. Since we are choosing 6 digits of the 10 for our sequence, 
in this scenario. Thus, we are trying to find 
. This can be found as shown:
There are 210 total combinations.
Answer:
x = 6 y = 7
Step-by-step explanation:
its a little complicated for the procedure if you really want just reply ill put it in comments
Answer:
$14.39
Step-by-step explanation:
The formula for continuous compounding of interest is:
A = Pe^(rt), were P is the initial dollar amount, A is the final amount, r is the interest rate as a decimal fraction, and t is the time in years.
Here we have $2109 = $500e^(10r) and need to solve for r.
To do this, take the natural log of both sides, obtaining:
ln 2109 = ln 500+ 10r.
Then 10r = ln 2109 - ln 500, and
ln 2109 - ln 500
r = --------------------------------------------
10
= .1439
The interest rate was 14.39%.
