Answer:
42.69% of information is acquired by the student in two weeks.
Step-by-step explanation:
We are given the following in the question:

where a and b are constants.

p tells us about the percentage of acquired knowledge that a person retains after t weeks.
We have to find the percentage of knowledge acquired in two week.
We put t = 2

Thus, 42.69% of information is acquired by the student in two weeks.
Answer: 5
Step-by-step explanation: The median is the middle number in the data set when the data set is written from least to greatest.
Notice that our data set is already written from least to greatest.
1, 2, 2, 8, 9, 14
Notice that in this data set, there is no middle number directly because 2 and 8 fall directly in the middle. In this situation, we take the average of these two middle numbers and divide their sum by 2.
Since 2 and 8 are the numbers that appear in the middle, we add them.
2 + 8 gives us 10.
Now we divide 10 by 2 to get 5.
So the median of this data set is 5.
Your question seems a bit incomplete, but for starters you can write

Expanding where necessary, recalling that

, you have

and you can stop there, or continue to rewrite in terms of the reciprocal functions,

Now, since

, the final form could also take

or
Yes on day 7, they both have 46 dollars
The buyer will be paying taxes for 185 days, so will pay
... (185/365)·$8200 = $4156
Your most appropriate choice seems to be $4178, which corresponds to 186 days' taxes.
_____
There are 30 days in each month in the last half of the year, plus 1 additional day in each of July, August, October, and December. The 30th of June also belongs to the buyer (but the 29th, closing day, does not), so there are 180+5 = 185 days for which the buyer must pay taxes. The answer choices don't include that value.