Consider we need to find f(n).
Given:
Achilles ordered a pizza with 16 slices.
Every hour, he ate half of the remaining slices.
To find:
The function f(n) that is the number of slices Achilles ate in the hour since he got home.
Solution:
Initial number of slices = 16
Every hour, he ate half of the remaining slices. So, the number slices Achilles ate in the hour since he got home are:
8, 4, 2, 1, ...
It is a geometric sequence with first term 8 and common ratio 
.
The explicit formula for a geometric sequence is:
Where, a is the first term and r is the common ratio.
Substituting 
, we get
Therefore, the function f(n) that is the number of slices Achilles ate in the hour since he got home is .
Answer:
Step-by-step explanation:
look at graph for answers, vertex is at the point
Answer:
The data we have is:
Library A charges $96 per year.
Library B charges $3 per book he borrows.
Let's find the number of books X that he needs to borrow in order to spend the same amount in each library:
$3*X = $96
X = 96/3 = 32.
This means that if Aaden borrows 32 books per year, is the same for him if he chooses library A or B.
If he borrows more than 32 books per year, library A will be cheaper. (if he borrows 33 books, library B costs 33*$3 = $99, which is larger than the $96 of library A)
If he borrows less than 32 books per year, library B will be cheaper. (if he borrows 31 books library B costs $3*31 = $93, which is cheaper than the$96 of library A)
Exponential decay formula is
x= hours past
after 2 hours, there are 18 mg of medicine left
Answer:
m = -8
Step-by-step explanation:
-5m - 4 = 36
+4 +4
---------------------
-5m = 40
/-5 /-5
----------------------
m = -8
