Answer:
Time(t) = 11.61 hours (Rounded to two decimal place)
Step-by-step explanation:
Given: The antibiotic clarithromycin is eliminated from the body according to the formula:
......[1]
where;
A - Amount remaining in the body(in milligram)
t - time in hours after the drug reaches peak concentration.
Given: Amount of drug in the body is reduced to 100 milligrams.
then,
Substitute the value of A = 100 milligrams in [1] we get;

Divide both sides by 500 we get;

Simplify:

Taking logarithm both sides with base e, then we have;

[ Using
]
or

[using value of
]
then;

Simplify:
t ≈11.61 hours.
Therefore, the time 11.61 hours(Rounded two decimal place) will pass before the amount of drug in the body is reduced to 100 milligrams
ANSWER
a.)17
EXPLANATION
The given function is

We want to find the remainnder when this function is divided by x-3 using synthetic division.
We write the coefficients of the given function and carry out the synthetic division as shown in the attachment.
The remainnder is 17.
The correct answer is A.
A negative divided by a negative is always a positive. 4 can go into 18 only 4 times to get 16 with a remainder of 2. 2 is half of four, therefore -4 can go into -18 4.5 times.
The answer is 4 1/2 or 4.5.
I hope this helps ^-^
So total, Rita gets 128 dollars, in 8 days