Answer:
Every 1.71 seconds, the bacteria loses 
Step-by-step explanation:
Given

Required [Missing from the question]
Every __ seconds, the bacteria loses 
First, we model the function from t/3 to t.

Apply law of indices

Evaluate each exponent
--- This gives the number of bacteria at time t
At time 0, we have:



Let r be the time 1/2 disappears.
When 1/2 disappears, we have:



So, we have:

Substitute r for t

Substitute 

Divide both sides by 8500


Take log of both sides

Apply law of logarithm

Make r the subject



<em>Hence, it reduces by 1/2 after every 1.71 seconds</em>
Answer:
d
Step-by-step explanation:
Step-by-step explanation:
Multiply by the reciprocal, also sometimes referred to as "Keep, Change, Flip." Here is how it works. You rewrite the division question as a multiplication question by flipping the second fraction over. Next, keep the first number, change the division to multiplication and then flip the second fraction over.
Answer:
Step-by-step explanation:
Let x = the number of 50-cent increases in the cost of a book rental.
Right now he is renting 38 books per day at $3 per rental. If he raises his price he will lose 4 rentals per increase. The money part of this is:
$3 + .5x = the price per book rental after the increase. That's how much money he will make. The money made is NOT the same thing as the number of rentals. Therefore, they are put into separate expressions.
The number of rentals is:
38 - 4x. This is the number of books he is currently renting minus the number of book rentals he will lose per price increase. Putting those 2 expressions together and multiplying them will give you the end result of this increase in price.
(3 + .5x)(38 - 4x) = 114 - 12x + 19x - 2x², or putting it in descending powers of x and combining like terms:
-2x² + 7x + 114
$323 dollars just minus them and then you have your answer .