Answer:
n must be 27
Step-by-step explanation:
Let this number be x. Then -6(n - 12) = -90.
Dividing both sides by -6 yields n - 12 = 15.
Add 12 to both sides.
Then n must be 27.
Check: subtract 12 from 27; this yields 15. Now multiply this result by -6. The result is -90, which was expected.
D.- (-5,-6) is the correct answer
Answer:
Option 4
The term that represents the amount of time that the money is accruing interest is 'x'.
Step-by-step explanation:
Given : The function below represents the annual interest Alexander earns on a savings account.

To find : Identify the term that represents the amount of time that the money is accruing interest ?
Solution :
The general annual interest formula is 
Where, A is the amount
P is the principal
r is the interest rate
t is the time
The annual interest Alexander earns on a savings account is

Comparing with general formula,
t=x
The term that represents the amount of time that the money is accruing interest is 'x'.
Therefore, Option 4 is correct.
Answer: 41.5 min
Step-by-step explanation:
This problem can be solved with the Radioactive Half Life Formula:
(1)
Where:
is the final amount of the radioactive element
is the initial amount of the radioactive element
is the time elapsed
is the half life of the radioactive element
So, we need to substitute the given values and find
from (1):
(2)
(3)
(4)
Applying natural logarithm in both sides:
(5)
(6)
Clearing
:
This is the time elapsed
Solution:
<u>Note that:</u>
- Given inequality: 12p < 96
<u>Dividing both sides by 12:</u>
- 12p < 96
- => 12p/12 < 96/12
- => p < 8
Correct option is A.
<u />