Answer:
B. Geometric sequence.

Step-by-step explanation:
We have been given that Wanahton purified a portion of water with 900 grams of contaminants. Each hour, a third of the contaminants was filtered out.
The amount of contaminants remaining after each hour would be 2/3 of the previous hour amount as 1/3 of contaminants was filtered.
Since amount is not constant, therefore, the sequence would be geometric.
We know that explicit formula for geometric sequence is in form
, where,
a = First term,
r = Common ratio.
For our given scenario
and
, so our required formula would be:

Therefore, an explicit formula for the given geometric sequence would be
.
Answer:
$151,257.12
Step-by-step explanation:
7.5% is the annual interest rate, the monthly interest rate is:

The amount (P) that must be deposited into an account at a rate 0.625% per month for 7 months in order to obtain $158,000 is given by:

$151,257.12 must be deposited into the account today.
Answer: (A) 10 and e
<u>Step-by-step explanation:</u>
log 7 has an "invisible" base of 10
ln is the natural log which means that ln is actually log base e. So, ln 7 has a base of e
Don't you just grab the volume of the box and subtract the volume of the basketballs.