Answer: a) 
b) 25165824000
Step-by-step explanation:
The exponential equation for growth is given by :-
, where a= initial value , b =multiplicative growth factor and t = time.
Given : A bacteria culture contains 1500 bacteria initially and doubles every hour.
i.e. a = 1500 and b= 2
Then, the function N that models the number of bacteria after t hours will be :
To find , the number of bacteria after 24 hours , we put t= 24 in above equation , we get
Hence, the number of bacteria after 24 hours is 25165824000.
hmmm, between the three options I would go with the second one since the number of 1-foot cubes equals exactly the volume of the fish tank.
But to truly calculate the volume
5 x 3 = 15
15 x 3 = 45
45 is the volume of the fish tank
<u>⇨ By prime factorization method:</u>
The perimeter of any shape is the distance all the way around it.
For a triangle, it's the sum of the three side lengths.
I would normally copy them into my answer and then add them up.
But you've set them up in such a beautiful table in the question,
you can just look at that list and add them up.
Add up all the x's : x + x + x = 3x
Add up all the plain numbers: -3 + 2 + 4 = 3
There's your perimeter . . . . . 3x + 3 .
5600*.065=364 5600+364=$5964 in the account at the end of the year. ☺☺☺☺<span>
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