Step-by-step explanation:
(f○g)(7)
= f(g(7))
g(7) = 7 + 2
= 9
f(9) = 4(9) .....
......
Since Joann receives $10 per hour for the first 35 hours, so she receives $350 (35 times $10) before she starts receiving extra hours.
Since she received $515, we know that she worked extra hours.
Let's use the variable x to represent the number of extra hours worked.
So we can write the following equation for the total payment received:

She worked 11 extra hours. Adding this to the 35 regular hours, so she worked for 46 hours.
$15 that the answer. Your welcome
Answer:

Step-by-step explanation:
We have 36 characters in total which we can use in order to form a 6 character password.
For each place in this password we have choice of 36 of them, so, the total number of possible passwords of 6 characters is:

But, we have to exclude all passwords which have no numbers because, by the task, the password must contain at least one digit.
So, now we have choice of 26 characteristic to form password without digits and get
passwords like that, contained just of letters without digits.
So, the final answer is that we have
6-character passwords with at least one digit.
Answer: C. 13,839 (the answer is not among the given options, however the result is near this value)
Step-by-step explanation:
The exponential decay model for Carbon-
14 is given by the followig formula:
(1)
Where:
is the final amount of Carbon-
14
is the initial amount of Carbon-
14
is the time elapsed (the value we want to find)
On the other hand, we are told the current amount of Carbon-14
is
, assuming the initial amount of Carbon-14
is
:
(2)
This means:
(2)
Now,finding
from (1):
(3)
Applying natural logarithm on both sides:
(4)
(5)
(6)
Finally:
This is the age of the paintings and the option that is nearest to this value is C. 13839 years