Answer:
1092
Step-by-step explanation:
We have been given that the number of bacteria in the colony t minutes after the initial count modeled by the function
. We are asked to find the average rate of change in the number of bacteria over the first 6 minutes of the experiment.
We will use average rate of change formula to solve our given problem.

Upon substituting our given values, we will get:






Therefore, the average rate of change in the number of bacteria is 1092 bacteria per minute.
Answer:
He will have $276.10 available towards the down payment for his motorcycle
Step-by-step explanation:
The compound interest formula is given by:

Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.
In this problem, we have that:

Compounded quarterly, so n = 12/4 = 3.
We have to find A.



He will have $276.10 available towards the down payment for his motorcycle
Answer:
x = 8 and y=9 or y = 8 and x = 9
Step-by-step explanation:
8 x 9 = 72
8+9 = 17
9 x 8 = 72
9+8 = 17