F(x)=3x^2 - 2x +1
f(-1)=3(-1)^2-2(-1)+1
f(-1)=3( 1 ) +2+1
f(-1)=3+3
f(-1)=6
B - 45 because 27 divided by 6 is 4.5 and then 10x4.5=44
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
Answer:
It is 6%
Explanation:
The stock that is bought by Rick Mendez: 5,000
Own money used to buy: 2,500
Borrowed money: 2,500
Interest on borrowed money : 30
Brokerage commissions: 300
The stock is sold after one month: 5,650
Now first calculate the net profit = Selling price of stock – cost price of stock – Interest on borrowing – commission
5,650-5,000-30-300=320
Now calculate the rate of return = Net profit / cost of stock
320/5,000=.06
.06 or 6%
Answer:
228 hydrogen atoms
Step-by-step explanation:
In a water molecule,
1/3rd is oxygen atoms, and
2/3rd (1 - 1/3 = 2/3) is hydrogen atoms
If there are 114 water molecules,
Total number of atoms would be:
3 * 114 = 342 (1 oxygen and 2 hydrogen atoms in 1 water molecule)
Out of these, 2/3rd would be hydrogen atoms, so:

There would be 228 hydrogen atoms