Answer:
14 days
Step-by-step explanation:
The half life of a substance is the time required until the object has only half of the inicial mass.
So, to find the inicial mass of the object, we use t = 0 in the equation A(t):
A(0) = 600*e^0 = 600
Half of this mass is 300, so we can use A(t) = 300 and then find the time:
300 = 600e^-0.05t
e^-0.05t = 0.5
ln(e^-0.05t) = ln(0.5)
-0.05t = -0.6931
t = 13.862 days
Rounding to nearest day, we have that t = 14 days
Answer:
15% of the teas are caffeinated
Step-by-step explanation:
Use the formula:
part/whole = t/100%
where t will be representing the percent of caffeinated tea.
Plug in the given to the formula shown above:
9/60 = t/100
Solve using cross product
(9 x 100) = (60 x t)
900/60 = 60t/60
15 = t
Answer:
-10.2n - 1
Step-by-step explanation:
We have two expressions in variable n and we have to add the two expressions.
An important thing to note is that only like terms can be added. i.e. the term with "n" can only be added or subtracted to the term with "n". Similarly a constant can only be added or subtracted to a constant.
Thus, the two given expressions add up to -10.2n - 1
Answer:
M
Step-by-step explanation:
A quartic equation/function is a fourth degree polynomial. The general form is:

We can put any values for the variables a, b, c, d, and e.
The general shape of a fourth degree polynomial is in the shape of the English letter "W".
The leading coefficient is the value of "a".
If a is negative, the curve gets upside down, so a "W" going upside down would resemble an "M".
A graph of a quartic with negative leading coefficient is shown attached. The equation is:
