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.
Answer:
1. y = 10(1/3)^x
2. 24.8 bacteria per minute
Step-by-step explanation:
1.
When you raise a number between 0 and 1 to a positive exponent, the result is less than 1, so it indicates exponential decay.
The only such function in the choices is
Answer: y = 10(1/3)^x
2.
b(t) = 4(2)^t
b(0) = 4(2)^0 = 4
b(5) = 4(2)^5 = 128
average rate of change = (128 - 4)/(5 - 0) = 124/5 = 24.8
Answer: 24.8 bacteria per minute
Steps to solve:
6(4x + 2) = 3(3x – 6)
~Distribute
(6 * 4x) + (6 * 2) = (3 * 3x) + (3 * -6)
~Simplify
24x + 12 = 9x - 18
~Subtract 12 to both sides
24x + 12 - 12 = 9x - 18 - 12
~Simplify
24x = 9x - 30
~Subtract 9x to both sides
24x - 9x = 9x - 30 - 9x
~Simplify
15x = -30
~Divide 15 to both sides
15x/15 = -30/15
~Simplify
x = -2
Best of Luck!
Answer:
$9.45
Step-by-step explanation:
Given : Antonia buys 0.75 yard of fabric at $12.00 per yard.
To Find: If she pays 5% sales tax,what is the total cost of the fabric?
Solution:
Cost of fabric of 1 yard = $12.00
Cost of fabric of 0.75 yards =
=
She pays 5% sales tax i.e. 
Amount of sales tax = $0.45
Thus the total cost of the fabric = $9+$0.45 =$9.45
Hence the total cost of the fabric if she pays 5% sales tax is $9.45
